The correct statement among the provided choices is: the upper and lower control limits for a p chart depend on the sample size.
A p-chart is used to monitor the proportion of defective items in a sample. The control limits depend on the sample size, as larger sample sizes typically result in smaller control limits. The other statements provided are not true.
The upper control limit of an x-bar chart does depend on the average range R-bar, the lower control limit of a p chart may not always be a negative value, and the upper and lower control limits of an R chart are not always the same distance from R-bar.
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An angle measures 3. 4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Let x be the measure of the angle we are trying to find, in degrees.
The complementary angle to x is 90° - x, since the sum of complementary angles is 90 degrees.
The problem tells us that x is 3.4 degrees less than its complementary angle, so we can set up the following equation:
x = (90 - x) - 3.4
Simplifying and solving for x, we get:
x = 86.6/2
x = 43.3
Therefore, the angle we are trying to find has a measure of 43.3 degrees, and its complementary angle has a measure of 90 - 43.3 = 46.7 degrees.
a survey conducted among students in the school cafeteria asked a set of questions listed below. which survey question would produce a qualitative response?
The survey question that would produce a qualitative response is one that asks about qualities or attributes.
A qualitative response is a non-numeric response that describes the characteristics or qualities of something.
In a survey, a qualitative question typically asks about opinions.
Attitudes, behaviors, or other non-measurable factors.
Out of the following survey questions, the one that would produce a qualitative response is:
"What is your favorite food in the cafeteria?"
This question is asking for a subjective opinion, which is a qualitative response. The response could vary from student to student and cannot be quantified numerically.
A qualitative response is a response that is based on qualities or attributes, rather than numerical or measurable data.
Out of the listed questions, the survey question that would produce a qualitative response is:
What is your favorite color?
This question asks about a personal preference, which cannot be measured numerically. The response would be a word or phrase indicating the color, which is a qualitative attribute.
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In a race, 14 out of the 25 swimmers finished in less than 47 minutes. What percent of swimmers finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
We must first convert the given information into an equivalent fraction. The answer is 56%.
What is equivalent fraction?Equivalent fractions have the same value or represent the same portion of a whole even though they may have different numerators and denominators.
To do this, we must multiply both the numerator (14) and denominator (25) by the same number so that the denominator equals 100.
To do this, we must multiply both 14 and 25 by 4.
This gives us 14*4/25*4 = 56/100.
To convert this fraction to a percent, we can simply divide the numerator by the denominator and multiply the result by 100.
Therefore, 56/100 * 100 = 56%.
This result can also be found by setting up a proportion. We can set up the proportion as follows:
14/25 = x/100.
To solve for x, we must multiply both sides by 100. This gives us 14*100/25 = x.
Hence, x = 56. Therefore, 56% of swimmers finished the race in less than 47 minutes.
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A sprinkler can water a region with an 8 foot radius. A plant is 4 feet east and 6 feet north of the sprinkler. Is the plant in the sprinkler’s range? Why or why not?
The plant is not in the sprinkler's range since the distance between the sprinkler and the plant is greater than the radius of the sprinkler's range.
The distance between the sprinkler and the plant can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance between the sprinkler and the plant is the hypotenuse of a right triangle with legs of length 4 feet and 6 feet:
distance = sqrt(4^2 + 6^2)
distance = sqrt(16 + 36)
distance = sqrt(52)
distance ≈ 7.21 feet
Since the distance between the sprinkler and the plant is greater than the radius of the sprinkler's range (8 feet), the plant is not in the sprinkler's range. Therefore, the plant will not receive water from the sprinkler.
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Jane takes her turn on the vine to practice her swing. As she swings, she goes back and forth across the river bank alternately over land and water. She has spent some time thinking about her motion and tells Tarzan to set the stopwatch to take measurements. Assume that her distance varies sinusoidally with the time of her swing. Tarzan finds that when time is 2 seconds, she is -30 feet over land. At time equals 6 seconds, she has crossed 20 feet of water.
The equation for the sinusoidal function that represents Jane's motion would be d(t) = 25 x sin(π/4 x (t + 4)) - 5
How to find the sinusoidal function ?Let d(t) be the distance Jane is from the bank (in feet) at time t (in seconds). Since Jane's motion is sinusoidal, we can express it as:
d(t) = A x sin(B x (t - C)) + D
We need to find the values of A, B, C, and D that satisfy these conditions.
Since the amplitude is half the peak-to-peak amplitude, we have:
A = 50 / 2 = 25
The vertical shift (D) is the average of the maximum and minimum distances:
D = (20 + (-30)) / 2 = -10 / 2 = -5
Since the sine function is -1 at 3π/2 (270 degrees), we have:
π/4 x (2 - C) = 3π/2
2 - C = 6
C = -4
So, the equation of the sinusoidal function representing Jane's motion is:
d(t) = 25 x sin(π/4 x (t + 4)) - 5
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The question is:
Find the sinusoidal function that represents Jane's motion.
Which situation can be represented by the equation 2x + 150 = 5x
Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Mary has 150 stamps and buys 5 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 150 stamps and buys 2 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
The situation can be represented by the equation 2x + 150 = 5x is"Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?" (option b)
The equation 2x + 150 = 5x means that two expressions, 2x + 150 and 5x, are equal. In other words, whatever value we substitute for x, these two expressions will always have the same value. We can use this equation to solve different situations by finding the value of x that satisfies the equation.
Mary starts with 2 stamps and buys 150 stamps each week, while Nick starts with no stamps and buys 5 stamps each week. To determine when they will have the same number of stamps, we need to use the equation 2x + 150 = 5x. We can rewrite the equation as 150 = 3x, and solve for x by dividing both sides by 3. This gives us x = 50, which means that it will take Mary 50 weeks to have the same number of stamps as Nick.
Hence the correct option is (b).
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Women's style of communication has often involved
a.
b.
C.
d.
telling others what to do
thinking only about themselves
understanding others' emotions
trying not to get involved with others
Please select the best answer from the choices provided
O A
The best answer is (c) understanding others' emotions.
Women tend to have a more empathetic communication style compared to men, and they tend to prioritize relationships and emotions in their interactions. This communication style involves actively listening to others, being supportive, and expressing empathy towards their feelings. Women often seek to connect with others on an emotional level and understand their perspective, rather than simply giving orders or being self-centered.
Research has shown that women's communication style can be more effective in building and maintaining relationships, as it fosters trust, mutual respect, and understanding. This style also creates a supportive environment where individuals can express their emotions freely and receive validation for their feelings.
In conclusion, women's communication style involves understanding others' emotions, listening actively, and showing empathy towards their feelings.
This approach promotes positive relationships and creates an environment of mutual respect and trust.
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an observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed and that 65% of the headways between vehicles are 9 seconds or greater. if the observer decides to count traffic in 30- second time intervals, estimate the probability of the
If observer decides to count traffic in 30-second time intervals, then the probability of observer counting exactly 1 vehicles in an interval is 0.344.
The Vehicle headway follows an exponential distribution and the vehicle arrival follows a poison distribution.
We know that that, probability of getting headway greater than or equal to 9 seconds is 65%,
So, P(h≥9) = 0.65 ...equation(1)
We know that, P(h≥t) = [tex]e^{-\lambda \times t}[/tex],
where, h is headway , t is time and λ is vehicle "arrival-rate",
So, P(h≥9) = [tex]e^{-\lambda \times 9}[/tex], ....equation(2)
Equating both equation(1) and equation(2),
We get,
⇒ [tex]e^{-\lambda \times 9}[/tex] = 0.65,
⇒ -9λ = ln(0.65),
⇒ λ = 0.047 vehicles per second.
Since, the vehicle arrival follows poison distribution,
The probability of having "n" vehicles arrive in "t" time is P(n) ,
⇒ P(n) = {(λt)ⁿ[tex]e^{-\lambda \times t}[/tex]}/n!,
where, λ = average vehicle arrival rate = 0.047,
"t" = duration of time interval is = 30,
To find the probability of getting exactly 1 vehicle, we put n = 1,
So,
⇒ P(1) = {(0.047×30)¹ [tex]e^{-0.047 \times 30}[/tex]}/1!
⇒ P(1) = 0.344.
Therefore, the required probability is 0.344.
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The given question is incomplete, the complete question is
An observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed and that 65% of the headways between vehicles are 9 seconds or greater. If the observer decides to count traffic in 30-second time intervals,
Estimate the probability of the observer counting exactly 1 vehicles in an interval.
Mr. Lewis and Ms. Yonkers are grading 87 papers for a math class. Mr. Lewis has already grade 32, but Ms. Yonkers has only graded 16. Write an equation with the variable (p) and show your work to determine how many papers they have left to grade.
The number of papers they have left to grade is 39.
What is Subtraction?
Subtraction is a mathematical operation that involves taking away or removing a certain number of items or quantity from a larger group. It is the inverse of addition and is denoted by the minus sign (-).
Let p be the number of papers they have left to grade.
The total number of papers is 87, and Mr. Lewis has already graded 32 and Ms. Yonkers has graded 16, so the number of papers they have left to grade is:
p = 87 - 32 - 16
p = 39
Therefore, they have 39 papers left to grade.
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Complete the inequality.
1/4 ___ 3/16
>
=
Answer:
1/4 > 3/16
Step-by-step explanation:
1/4 = 4/16
4/16 > 3/16
1/4 > 3/16
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which vaule of y makes the equation true 13 - y = 17 true?
pls help
Answer:
y = -4
Step-by-step explanation:
13 - y = 17
y = 13 - 17 = -4
Answer:
y = -4
Step-by-step explanation:
Alright so you shift the y to the other side:
13 = 17 + y
Now you shift the 17 to the other side,
y = 13 - 17 = -4
Hence, y = -4
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In circle S with � ∠ � � � = 60 m∠RST=60 and � � = 4 RS=4 units find area of sector RST. Round to the nearest hundredth
If the measure of angle RST is 60°, and RS=4 units, then the area of sector RST is 8.374 square units.
In geometry, a "Sector" of a circle is defined as the portion of circle enclosed by two radii and the arc between them. It can be thought of as a slice or a wedge cut out of a circle.
To find the area of the "sector-RST" in circle centered at "S", we use the formula for area of a sector of a circle, which is :
⇒ Area of sector = (θ/360) × π × r²,
where θ = central angle of sector in degrees, π = 3.14159, and r = radius of circle,
In this case, we are given that m∠RST = 60 degrees and RS = 4 units. Since RS is the radius of the circle centered at "S", we use RS = r,
Substituting the values, θ = 60 degrees, r = RS = 4 units,
We get,
⇒ Area of sector RST = (60/360) × 3.14 × (4)²,
= (1/6) × 3.14 × 16,
= 8.374 square units,
Therefore, the required area of sector is 8.374 square units.
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The given question is incomplete, the complete question is
In circle centered at "S", R and T are the points on the circumference with m∠RST = 60 and RS=4 units .Find area of sector RST.
Forever Fitness charges $50 a month and $15 for each exercise class you take. Peachtree Gym charges $75 a month and $10 for each exercise class. How many exercise classes must you take in one month so that the cost of Forever Fitness is the same as Peachtree Gym?
Number of exercise classes must you take in one month so that the cost of Forever Fitness is the same as Peachtree Gym is 8
Let's denote by x the number of exercise classes taken in one month.
For Forever Fitness, the total cost in one month would be:
50 + 15x
For Peachtree Gym, the total cost in one month would be:
75 + 10x
We want to find out when these two costs are equal, so we can set them equal to each other and solve for x
50 + 15x = 75 + 10x
Simplifying this equation by subtracting 10x from both sides gives:
40 = 5x
Dividing both sides by 5 gives
x = 8
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1. Find the height of the parabolic balloon arch for the prom when the position of the bottom anchors are at x = 3 feet and x = 7 feet.
The height of the parabolic balloon arch for the prom is 12.25 feet.
Using these assumptions, we can find the equation of the parabola that the arch follows as x = a(y-k)² + h, where (h,k) is the vertex and a is a constant that determines the shape of the parabola. We can find the value of a by using one of the points that the arch passes through, say (3,0):
3 = a(0-k)² + h h = 3 - a(k²)
Similarly, using the other point that the arch passes through, say (7,0):
7 = a(0-k)² + h h = 7 - a(k²)
Equating the expressions for h, we get:
3 - a(k²) = 7 - a(k²) a = -1/4
Substituting this value of a into one of the equations for h, say h = 7 - a(k²), we get:
h = 7 + 1/4(k²)
So the vertex of the parabola is at (h,k) = (7,0), and the equation of the parabola is x = -1/4(y² - 28y + 49).
To find the height of the arch, we need to find the y-coordinate of the vertex, which is k = 0. So the height of the arch is given by the distance between the vertex and the lowest point of the arch, which is the x-intercept of the parabola. To find the x-intercept, we set y = 0 in the equation of the parabola:
x = -1/4(0² - 28(0) + 49)
x = -1/4(49) = -12.25
However, since we are dealing with a physical object, the height cannot be negative. Therefore, we take the absolute value of the x-intercept, which gives us:
| -12.25 | = 12.25 feet
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Can someone help me ASAP? It’s due today
The only option that represents an independent event is: Option C: "Spinning a Spinner with eight evenly spaced sections, then spinning it again.".
How to Identify Independent Events?Independent events are defined as those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.
Looking at the given options, the only one that represents an independent event is "Spinning a Spinner with eight evenly spaced sections, then spinning it again.".
This is because each event does not depend on another one of the events being described.
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Trig word problems (need done ASAP)
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 27 feet up. The ladder makes an angle of 62° with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
the length of the ladder is approximately 54.01 feet.We can use trigonometric ratios to solve this problem
what is trigonometric ratios ?
Trigonometric ratios are mathematical functions used to relate the angles and sides of a right triangle. In a right triangle, there are three sides: the hypotenuse (the longest side, opposite the right angle), the opposite side (opposite to the angle we are interested in), and the adjacent side
In the given question,
We can use trigonometric ratios to solve this problem. Let's label the ladder as the hypotenuse of a right triangle, the height of the electric box as the opposite side, and the distance from the base of the ladder to the house as the adjacent side. Then we have:
sin(62°) = opposite/hypotenuse
cos(62°) = adjacent/hypotenuse
We know the height of the electric box is 27 feet, and we want to find the length of the ladder (the hypotenuse). Let's use the cosine ratio to solve for the hypotenuse:
cos(62°) = adjacent/hypotenuse
hypotenuse = adjacent/cos(62°)
Now we need to find the adjacent side. We know the height of the electric box is the opposite side, and we can use the tangent ratio to find the adjacent side:
tan(62°) = opposite/adjacent
adjacent = opposite/tan(62°)
opposite = 27 feet
Substituting in the values, we get:
adjacent = 27/tan(62°) ≈ 24.39 feet
Then we can find the hypotenuse:
hypotenuse = adjacent/cos(62°) ≈ 54.01 feet
Therefore, the length of the ladder is approximately 54.01 feet.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The two options that represent circles with diameter 12 units and center on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
What is circles diameter?The diameter of a circle is a straight line segment that passes through the center of the circle and connects two points on its circumference. It is twice the length of the circle's radius.
The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
Explanation:
For a circle with diameter 12 units, the radius is half of the diameter, which is 6 units.
Since the center of the circle lies on the y-axis, the x-coordinate of the center is 0.
The general equation for a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².
Using the given information, we substitute h = 0, k = ±6, and r = 6 to get the two equations:
(x - 0)² + (y - 6)² = 6² => x² + (y - 6)² = 36
(x - 0)² + (y + 6)² = 6² => x² + (y + 6)² = 36
Therefore, the two options that represent circles with diameter 12 units and center on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
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need answer by 11:45am
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 6
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
The drive-thru with typically more wait time is Burger Quick, because it has a larger median. The Option A.
Why does Burger Quick have a larger median for wait time?The median is a measure of central tendency that represents the middle value of a set of data. In this case, the median wait time at Burger Quick is 15.5 minutes, while the median wait time at Super Fast Food is 12 minutes.
This indicates that, on average, customers at Burger Quick experience a longer wait time compared to customers at Super Fast Food. The larger median at Burger Quick suggests that there may be some longer wait times skewing the data towards the higher end which could be due to various factors such as slower service, or other operational issues at Burger Quick resulting in a longer wait time for customers at their drive-thru.
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sharon is a good student who enjoys statistics. she sets a goal for herself to do well enough compared to her peers so that her standardized score on her statistics final is equal to her percentile rank (written as a decimal) among her classmates. scores on the statistics final are normally distributed. what goal did she set for herself?
Sharon's desired percentile rank of 0.78.
To determine the goal Sharon set for herself, we need to understand the relationship between standardized scores and percentile ranks.
In a standardized test, such as Sharon's Statistics final, the standardized score represents how well a student performed relative to the average score of the test-takers.
The percentile rank, on the other hand, indicates the percentage of test-takers that scored below a particular student.
In Sharon's case, she wants her standardized score to be equal to her percentile rank.
Therefore, her goal is to achieve a standardized score of 0.78 (written as a decimal) on her Statistics final.
This means she aims to score better than approximately 78% of her classmates, as indicated by her desired percentile rank of 0.78.
Hence her desired percentile rank of 0.78.
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Need help asap thank you
The value of the Central angle and Circumscribed angle are respectively: 97° and 83°
How to find the angle in the circle?A circumscribed angle is the angle formed by the intersection of two tangent lines (lines that each touch the circle at exactly one point) to a circle.
The circumscribed angle theorem states that the measure of a circumscribed angle is the supplement of the central angle that intercepts the same arc (the supplement of an angle is the difference between 180° and the angle). Because a central angle has the same degree measure as its intercepted arc, it follows from the circumscribed angle theorem that the measure of a circumscribed angle is the supplement of the degree measure of the intercepted arc.
The formula for the circumscribed angle theorem is:
θ = 180° - C
Where:
θ is the circumscribed angle
C is the central angle
Thus:
3x + 11 = 180 - (5x - 23)
3x + 11 = 180 - 5x + 23
3x + 11 = 203 - 5x
8x = 203 - 11
8x = 192
x = 192/8
x = 24
Thus:
Central angle = 5(24) - 23
= 120 - 23
= 97°
Circumscribed angle = 180 - 97 = 83°
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what are the first four terms if a1=5 and an=3an-1?
A circle with center O(6, 3) contains the point A(3, -1).
-10
10
OB=
-10
B(3-3)
next
A(3,-1)
Write a subtraction expression for each length OB and AB:
0(6.3)
AB
10
15
need help thanks :)
In the given circle the formula for subtracting the length of AB is -3-(-14).
What is the circle?A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent.
A circle is also known as the location of points that are evenly spaced apart from the center.
The radius of a circle is measured from the center to the edge.
A car tire, a time-telling wall clock, and lollipops are a few objects in our immediate environment that have a circular form.
So, the measurement of an object's travel distance is the space between two spots.
We must calculate the distance between points A and B using the provided diagram.
The x-coordinate being equal, it follows that:
AB = y2 - y1
AB= -3 - (-14)
AB = 11 units
Therefore, in the given circle the formula for subtracting the length of AB is -3-(-14).
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Correct question:
A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).
Write a subtraction expression for each length OF AB and ABAB:
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x = 49
A. 9
B. 7
C. -7
D. -49
E. 49
F. None of these
The only solution for the equation is the one in option E, 49
Which numbers are solution for the equation?Here we have the equation:
x = 49
A value of x is a solution only if the equation is true, this means, we have the same number in both sides.
Here obviously there exist only one solution, and it is when x takes the value 49.
49 = 49
So the only correct option is E.
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Solving systems by eliminations; finding the coeficients
please write all the problems down, 10 points for each problem, and Brainliest
As this is a contradiction, the system cannot be solved. The parallel lines of the two equations do not intersect.
what is equation ?A mathematical expression called and equation demonstrates the parity of two factors or values. It typically includes exponents, parameters, constants, and mathematical like addition, subtraction, multiplication, and division. Finding an unknown variable's value or expressing a correlation between a number of variables is the goal of an equation. To simulate real-world occurrences and address issues, equations are utilised in many mathematical areas, science, and engineering. Systems of equations, linear equations, and quadratic equations are a few types of equations.
given
We can multiply the first equation by two and then add the second equation to the system to find the solution via elimination. This results in:
[tex]2(x - 3y = 7) = 2x - 6y = 14\\2x - 6y = 12[/tex]
To remove x, we may now subtract the second equation from the first equation:
[tex](2x - 6y = 14) - (2x - 6y = 12) = 0[/tex]
That amounts to:
0 = 2
As this is a contradiction, the system cannot be solved. The parallel lines of the two equations do not intersect.
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please help me with this
The point (1,2) is the point of intersection of the two lines.
How to verify the pointIt should be noted that to verify if the point (1,2) is a solution to the system of linear equations, we need to substitute x=1 and y=2 into both equations and check if they are true.
The equation is true, so (1,2) is a solution to the first equation.
Substituting x=1 and y=2 into the second equation also makes the equation true.
Therefore, the point (1,2) is the point of intersection of the two lines.
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The average home size in the United States in 1970 was 1,400 square feet. The average size was about (5)(3) times greater in 2004. What was the average home size in 2004?
The average home size in the United States in 2004 was 7,000 square feet.
To solve this problem, we can use the concept of ratios. Let x be the average home size in 2004.
The concept of ratios involves comparing two or more quantities by expressing them as a fraction or a division of one quantity by another. It is used to determine how much larger or smaller one quantity is than another, and is often used in mathematics, science, finance, and other fields
We know that the average home size in 1970 was 1,400 square feet, and that the average size in 2004 was about 5 times greater. This can be expressed as:
x = 5(1,400)
Simplifying the right side of the equation, we get
x = 7,000 square feet
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the average number of phone inquiries per day at the emergency center is four. find the probability that it will receive five calls on a given day.
the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.
To find the probability of receiving five calls on a given day at the emergency center, we need to use the Poisson distribution formula:
[tex]P(x = 5) = (e^{-4})*\frac{(4^5)}{(5!)}[/tex]
Where:
- x = number of phone inquiries
- e = Euler's number (approximately 2.71828)
- ! = factorial (i.e. 5! = 5*4*3*2*1)
Given that the average number of phone inquiries per day is four, we can use that as our lambda (λ) value in the Poisson distribution formula, since lambda represents the mean number of events in a specific time interval:
λ = 4
Now we can substitute these values into the formula and solve:
P(x = 5) = (e^-4)*(4^5)/(5!) = (2.71828^-4)*(1024)/(120) ≈ 0.156
Therefore, the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.
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The probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.
To find the probability that the emergency center will receive five calls on a given day, given that the average number of phone inquiries per day is four, we can use the Poisson distribution formula.
Identify the average rate (λ): In this case, λ = 4 calls per day.
Identify the desired number of events (k): In this case, k = 5 calls.
Use the Poisson distribution formula: [tex]P(X = k) = (e^(-λ) \times (λ^k)) / k![/tex]
e is the base of the natural logarithm (approximately 2.71828)
λ is the average rate
k is the desired number of events
k! is the factorial of k
Plug in the values and calculate the probability:
[tex]P(X = 5) = (e^{(-4)} \TIMES (4^5)) / 5![/tex]
[tex]P(X = 5) = (0.0183 \times 1024) / 120[/tex]
P(X = 5) ≈ 0.1755
So, the probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.
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PLEASE ANSWER DUE TODAY!!!!
Answer:
below
Step-by-step explanation:
26. yes because a straight line is formed
27. domain - -2 to 2
range -2 to 1
Answer:
Yes, the graph is a linear function.
Domain: x∈[-2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5]
Range: y∈[-1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2]
Step-by-step explanation:
A linear function is an expression that will form a straight line when graphed (or a graph that forms a straight line). These points form a straight line, so the function is linear.
The domain of the function is everything that x can be equal to. We can see here that the ordered points are:
(-2, -1.5), (-1.5, -1), (-1, -0.5), (-0.5, 0), (0, 0.5), (0.5, 1), (1, 1.5), (1.5, 2)
So, the domain of the function is all of the x values of the ordered pairs, or:
x∈[-2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5]
(the symbol next to the x means "belongs to.")
As for the range, it is everything that y can be equal to. Let us look once again at the ordered pairs. The range of the function is equal to the y coordinates of these ordered pairs, or:
Range: y∈[-1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2]
Keep in mind that if the function contains more than one value for x or y, it is listed ONLY ONCE in the domain/range.
how to find ratio of a area of 1125 square feet and 45 square feet
please do step by step on how you get it
Answer:
25:1
Step-by-step explanation:
To find the ratio of the areas of two figures, you need to divide the larger area by the smaller area. In this case, the larger area is 1125 square feet, and the smaller area is 45 square feet.
So the ratio of the larger area to the smaller area is:
1125 sq ft / 45 sq ft
To simplify the ratio, you can divide both numbers by their greatest common factor, which in this case is 45.
1125 sq ft / 45 sq ft = 25 / 1
Therefore, the ratio of the larger area to the smaller area is 25:1.
Hope this helps!
what is the surface are of a cylender when the radius is 6in and the height is 9 in
Answer:
565.486677646 inches squared
Step-by-step explanation:
Let's recall the formula for the surface area of a cylinder:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where r is the radius and h is the height.
We are given that the radius is 6 inches and the height is 9 inches.
Substitute the values and solve the equation, like so:
[tex]A=2\pi (6)(9)+2\pi (6)^2=\\A=2\pi (54) +2\pi(36)=\\A=108\pi +72\pi =\\A=180\pi[/tex]
Thus, in terms of pi, the surface area is equal to [tex]180\pi[/tex].
180 times pi is equal to approximately 565.486677646 inches squared.