Nicky needs to score 32 points in her next Game to have a mean of 25 points per game.
Nicky needs to score in her next game to have a mean of 25 points per game, we need to use the formula for the mean (average):
Mean = (Sum of all the numbers) / (Number of numbers)
In this case, we know that Nicky has scored 18 points, 22 points, and 28 points in her last three basketball games.
To find out how many points she needs to score in her next game to have a mean of 25 points per game, we need to first find the sum of all the points she has scored so far.
Sum of all the points = 18 + 22 + 28 = 68
Next, we need to find out how many games Nicky has played so far.
We know that she has played three games, so the number of games is 3.
formula for finding the mean to solve for the unknown variable, which is the number of points Nicky needs to score in her next game.
[tex]25 = (68 + x) / 4[/tex]
Multiplying both sides by 4, we get:
100 = 68 + x
Subtracting 68 from both sides, we get:
x = 32
In summary, to find out how many points Nicky needs to score in her next basketball game to have a mean of 25 points per game, we used the formula for finding the mean and solved for the unknown variable.
we got was 32 points, which means Nicky needs to score 32 points in her next game to maintain an average of 25 points per game.
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Find the distance of d, ab
The distance between points A and B is 2 units.
How to find the distanceTo find the distance between two points in a coordinate plane, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using this formula, we can find the distance between points A (-3,1) and B(-1,1) as follows:
distance = sqrt((-1 - (-3))^2 + (1 - 1)^2)
distance = sqrt(2^2 + 0^2)
distance = sqrt(4)
distance = 2
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Lorcaserin and weight Loss. A double-blind, randomized comparative experiment compared the effect of the drug lorcaserin and a placebo on weight loss in overweight adults. All subjects also underwent diet and exercise counseling. The study reported that, after one year, patients in the lorcaserin group had an average weight loss of 5.8 kilograms (kg), while those on the placebo had an average weight loss of 2.2 kg (P < 0.001).^2 Explain to someone who knows no statistics why these results that there is good reason to think that lorcaserin works. Include an explanation of what P < 0.001 means.
In this thing, analysts compared the weight misfortune impact of a medication called lorcaserin to a fake treatment in overweight grown-ups.
The consideration was conducted in a double-blind, randomized comparative try, which suggests that not one or the other the members nor the analysts knew which bunch the members were doled out to.
Moreover, all members gotten eat less and work out counseling to control the impacts of this way of life changes.
After one year, the analysts found that the members who had gotten lorcaserin misplaced a normal 5.8 kg of weight, whereas those who had gotten the fake treatment were misplaced as it was 2.2 kg on normal.
The reality that the contrast in weight misfortune between the two bunches was factually critical (P < 0.001) recommends that the distinction is improbable to be due to chance.
When we say that P < 0.001, we cruel(mean) that there's less than a 0.1% chance that the contrast in weight misfortune between the two bunches might have happened by chance alone.
This recommends that the contrast in weight misfortune between the lorcaserin bunch and the fake treatment gather is likely due to the drug itself and not to arbitrary variety within the consideration that comes about.
In outline, based on the comes about of this think about, there's a great reason to accept that lorcaserin is compelling in advancing weight misfortune in overweight grown-ups, when utilized in conjunction with counting calories and workout counseling.
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Lorcaserin is a drug that can help with weight loss. In a study, some people were given lorcaserin while others were given a fake pill (placebo) and everyone received advice on how to eat healthier and exercise more.
After one year, the people who took lorcaserin lost an average of 5.8 kilograms (kg) while the people who took the placebo lost an average of 2.2 kg. This means that lorcaserin helped people lose more weight than just diet and exercise alone. The P value (P < 0.001) tells us that the difference between the two groups is very unlikely to be due to chance. This means that the results are reliable and we can trust that lorcaserin is likely to work for most people who take it.
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Can someone help me on these last 3 question it’s 3,5 and 6 I js need help on these
The required area of the given triangle is 63 ft² respectively.
What is a triangle?A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.
There are three sides and three angles in every triangle, some of which may be the same.
A unique triangle and plane (i.e., a two-dimensional Euclidean space) are determined by any three non-collinear points in Euclidean geometry.
In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
Area of a triangle:
1/2 * b * h
Now, insert values as follows:
1/2 * b * h
1/2 * 14 * 9
7 * 9
63 ft²
Therefore, the required area of the given triangle is 63 ft² respectively.
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if a garden box is 4x by 3x and the area of the box in square feet is equal to four times the perimeter in feet what is the value for x that satisfies these requirements
The answer to this question is x = 6
Please help me with these 4 questions
The total surface area of each figure are:
1) 2,557.3 yd²
2) 601.02 m₂
3) 3782.5 mm²
4)750 in²
How to find the total surface area?1) The total surface area of a cylinder is:
2πrh + 2πr².
where:
r is radius
h is height
Thus:
TSA = 2π(11 * 26) + 2π(11)²
TSA = 2π(286) + 2π(121)
TSA = 2π(407)
TSA = 2,557.3 yd²
2) The total surface area is:
2(¹/₂ * 9 * 11.12) + (16 * 15) + (16 * 12) + (9 * 16)
= 25.02 + 240 + 192 + 144
= 601.02 m₂
3) The total surface area of a cylinder is:
2πrh + 2πr².
where:
r is radius
h is height
Thus:
TSA = 2π(14 * 29) + 2π(14)²
TSA = 2π(406) + 2π(196)
TSA = 2π(602)
TSA = 3782.5 mm²
4) The total surface area of the pyramid is:
TSA = (15 * 8) + (21 * 17) + (21 * 15) + (8 * 21)
TSA = 120 + 147 + 315 + 168
TSA = 750 in²
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Please help me I do not understand what to do
The measure of angle B in the right-angled triangle ACB is 63 degrees.
What is a triangle ?
A triangle is a polygon with three sides, three vertices, and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angle measures.
In a right-angled triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the measure of angle B in the right-angled triangle ACB by subtracting the measure of angle A and the right angle from 90 degrees.
Given that [tex]\angle A = 27^\circ[/tex], we can find the measure of angle B as follows:
[tex]\angle B = 180^\circ - \angle A - \angle C[/tex]
Since the triangle is right-angled at C, we know that [tex]\angle C = 90^\circ[/tex]. Therefore, we can substitute the values of [tex]\angle A[/tex] and [tex]\angle C[/tex] in the equation above to get:
[tex]\angle B = 180^\circ - 27^\circ - 90^\circ[/tex]
Simplifying this expression, we get:
[tex]\angle B = 63^\circ[/tex]
Therefore, the measure of angle B in the right-angled triangle ACB is 63 degrees.
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A line that includes the points (–9,–5) and (j,3) has a slope of 8/7. What is the value of j?
Answer:
We can use the slope formula to find the value of j. The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-9, -5) and (x2, y2) = (j, 3). We are given that the slope is 8/7, so we can substitute these values into the slope formula and solve for j:
8/7 = (3 - (-5)) / (j - (-9))
8/7 = 8 / (j + 9)
8(j + 9) = 7(8)
8j + 72 = 56
8j = -16
j = -2
Therefore, the value of j is -2.
At midnight, the temperature in a city was 5 degrees celsius. The temperature was dropping at a steady rate of 2 degress celsius per hour. Write an inequalty that represents t, the number of hours past midnight, when the temperature was coler than -4 degrees celsius
( 5 - 2t ) < - 4 is an inequalty that represents t, the number of hours past midnight, when the temperature was coler than -4 degrees celsius.
What is linear equation?
An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.
The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.
The midnight temperature is 5 °C and the temperature is decreasing at the rate of 2°C per hour.
If t is the hours past midnight then after t hours the temperature will be ( 5 - 2t ).
Now, if this temperature is colder than - 4° C, then the inequality can be written as ( 5 - 2t ) < - 4.
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The inequality that represents t, the number of hours past midnight, when the temperature was cooler than -4 degrees celsius( 5 - 2t ) < - 4
What is inequality?
The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().
The midnight temperature is 5 °C and the temperature is decreasing at the rate of 2°C per hour.
If t is the hours past midnight then after t hours the temperature will be
=> ( 5 - 2t ).
Now, if this temperature is colder than - 4° C, then the inequality can be written as ( 5 - 2t ) < - 4.
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a cab was involved in a hit and run accident at night. two cab companies, the green and the blue, operate in the city. 85% of the cabs in the city are green and 15% are blue. a witness identified the cab as blue. the court tested the reliability of the witness under the same circumstances that existed on the night of the accident and concluded that the witness correctly identified each one of the two colors 80% of the time and failed 20% of the time. what is the probability that the cab involved in the accident was blue rather than green knowing that this witness identified it as blue?
From Bayes' Theorem, an events related to involved in a hit and run accident at night. The required probability that the blue cab involved in accident rather than green as well as witness also identified it as blue cab is equals to the 0.41 or 41% .
Bayes' Theorem states that the conditional probability of an event, is based on the occurrence of another event, is equal to the likelihood of the second event the first event multiplied by the probability of the first event. According to scenario, it is found that a cab was involved in a hit and run accident at night. Number of cab companies operates in city = 2 ( blue and green)
Probability that green cab involved in accident, P(G) = 85% = 0.85
Probability that blue cab involved in accident, P( B) = 15% = 0.15
Now, the cab which is identified by witness was a blue cab and after identification court also tested the witness's credibility. Here, probability that witness is correct to identification a blue cab = P(W/B) = 0.80
Probability that witness is wrong to identify the blue cab = P(W/G)
= 0.20
Using the Baye's theorem, Probability that accident was caused by blue cab provided witness identifies is, [tex]P( B/W) = \frac{ P(B ∩W )}{ P( W)} = \frac{ P( B) P( W/B)}{ P( W)} \\ [/tex]
Total Probability, P(W) = P(B)P(W/B) + P(G)P(W/G)
= 0.15 × 0.8 + 0.85 × 0.2 = 1.2 + 1.7 = 2.9
P(B/W) = (0.15 × 0.8)/2.9
= 1.2/2.9 = 0.41 = 41%
Hence, required probability value is 41%.
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a bag contains 7 red balls, 9 blue balls, and 4 yellow balls. what is the minimum number of balls that must be selected to ensure that 4 balls of the same color are chosen?
The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.
To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:
= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)
= 10 balls.
Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.
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the list shows the weight in pounds of 6 puppies at birth. 3, 1.6, 2.8, 2.5, 1.7, 2.8 what is the mean absolute deviation of these numbers?
5th term in the expansion of
(a+b)4(a+b) 4
in simplest form.
The 5th term in the expansion of (a+b)⁴ in simplest form is 4a³b.
What is binomial theorem?The binomial theorem is a mathematical formula that provides a way to expand the power of a binomial expression, which is an expression that consists of two terms.
According to question:The 5th term in the expansion of (a+b)⁴ can be found using the binomial theorem formula:
(a + b)ⁿ = C(n,0)aⁿ + C(n,1)[tex]a^(n-1)[/tex]b + C(n,2)[tex]a^(n-2)[/tex]b² + ... + C(n,n-1)a[tex]b^(n-1)[/tex] + C(n,n)bⁿ
where C(n,r) is the binomial coefficient, given by:
C(n,r) = n! / (r! * (n-r)!)
In this case, n = 4 and we want to find the 5th term, which means we want the coefficient for the term with a³b. Using the formula, we can see that the coefficient for this term is:
C(4,3) = 4! / (3! * (4-3)!) = 4
So the 5th term in the expansion of (a+b)⁴ is:
4a³b
In simplest form, we cannot simplify this expression any further. Therefore, the 5th term in the expansion of (a+b)⁴ in simplest form is:
[tex]4a^3b[/tex].
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Suppose an earthquake can be felt up to 76 miles from its epicenter. You are located at a point 65 miles west and 40 miles south of the epicenter. Do you feel the earthquake?
The distance between your location and the epicenter is just slightly larger than the maximum distance that the earthquake can be felt (76 miles), so you would be able to feel the earthquake.
What is triangle?A triangle is a polygon with three sides and three angles. The sum of the angles in a triangle is always 180 degrees. There are different types of triangles such as equilateral, isosceles, scalene, right-angled, obtuse-angled, and acute-angled triangles. Triangles are used in geometry and other fields of mathematics to solve problems related to areas, angles, and side lengths.
Here,
Yes, you feel the earthquake.
To see why, imagine drawing a circle around the epicenter with a radius of 76 miles. This circle represents the maximum distance that the earthquake can be felt. Then, draw a line from the epicenter to your location. This line represents the distance between you and the epicenter.
To determine whether you feel the earthquake, we need to calculate the distance between your location and the epicenter using the Pythagorean theorem:
distance = √(65² + 40²)
distance ≈ 76.06 miles
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Harrison expanded the square flower garden in his backyard. He made one side 3 feet longer and the other side 6 feet longer. The expanded rectangular flower garden has an area of 148 square feet. Use the drop-down menus to write an equation to model this situation
The equation to model the situation given in the question is (x+3)(x+6) = 148.
Let's assume that the original length and width of the square flower garden were "x". When Harrison expanded the garden, the new length became "x+3" and the new width became "x+6".
The area of a rectangle is given by the formula A = L × W, where A is the area, L is the length, and W is the width. Therefore, the area of the expanded rectangular flower garden is:
A = (x+3)(x+6)
We know that the area of the expanded rectangular flower garden is 148 square feet. So we can set up an equation:
(x+3)(x+6) = 148
{When we solve this equation using the quadratic formula we get x values:
x ≈ 8.2 and x ≈ -17.2 but we know x is the side of the garden so it cannot be negative, therefore, x = 8.2 unit}
This is the equation that models the situation described in the problem.
Therefore, the equation to model this situation is (x+3)(x+6) = 148.
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Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 8 88 days and a standard deviation of 6 66 days. A biologist collects a random sample of 36 3636 of these male mosquitos and observes them to calculate the sample mean lifespan. What is the probability that the mean lifespan from the sample of 36 3636 mosquitos x ˉ x ˉ x, with, \bar, on top exceeds 10 1010 days? Choose 1 answer: Choose 1 answer: (Choice A) A P ( x ˉ > 10 ) ≈ 0. 02 P( x ˉ >10)≈0. 02P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 02 (Choice B) B P ( x ˉ > 10 ) ≈ 0. 14 P( x ˉ >10)≈0. 14P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 14 (Choice C) C P ( x ˉ > 10 ) ≈ 0. 25 P( x ˉ >10)≈0. 25P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 25 (Choice D) D P ( x ˉ > 10 ) ≈ 0. 37 P( x ˉ >10)≈0. 37P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 37 (Choice E) E We cannot calculate this probability because the sampling distribution is not normal
Given a sample of 36 male mosquitos of a species with a mean lifespan of 8.88 days and a standard deviation of 6.66 days, the probability of the sample mean lifespan exceeding 10 days is approximately 0.14. So, the correct choice is option B is P ( x ˉ > 10 ) ≈ 0. 14 P( x ˉ >10)≈0. 14P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 14.
The sampling distribution of the mean lifespan is approximately normal due to the Central Limit Theorem.
The standard error of the mean is 6.66 / sqrt(36) = 1.11. The z-score for a sample mean of 10 is (10 - 8.88) / 1.11 = 1.08. Using a standard normal distribution table or calculator, the probability of a z-score greater than 1.08 is approximately 0.14.
Therefore, the answer is Choice B is P(X > 10) ≈ 0.14.
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Compute the missing data in the table for the following exponential function f (x) = (3) Superscript x. x 1 2 3 4 5 6 7 f(x) 3 9 ? 81 243 729 2187 a. 18 c. 32 b. 27 d. 45
The missing value in the table for the exponential function is 27.
An exponential function is a mathematical function of the form f(x) = a^x, where a is a positive constant called the base, and x is the variable.
To find the missing value in the table, we need to evaluate the exponential function f(x) = (3)^x for the missing value of x.
We can see that
f(1) = 3, f(2) = 9, f(4) = 81, f(5) = 243, f(6) = 729, and f(7) = 2187.
To find f(3), we can use the formula f(x) = (3)^x
f(3) = (3)^3 = 27
Therefore, the missing value is 27
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At the shop shirts cost 45£ each Tim buys 3 shirts Craig buys 5
Answer:
Step-by-step explanation:
Tim shirts cost = 3*45
Craig shirts cost = 5*45
Total cost = 135+225
=360
a biologist claims that nearly 45 percent of all americans have brown eyes. a random sample of n=60 mizzou students found 24 with brown eyes. give the numerical value of the statistic p^
the sample proportion (p^) is 0.4 or 40%.
To calculate the sample proportion (p^) for the number of Mizzou students with brown eyes, use the following formula:
A set is a collection of objects or groups of objects. These objects are often called elements or members of a set. For example, a group of players in a cricket team is a set.
p = (number of students with brown eyes) / (total number of students in the sample)
In this case, there are 24 students with brown eyes out of a sample of 60 students. Therefore, the numerical value of the statistic p^ is:
[tex]p = \frac{24} { 60} = 0.4[/tex]
So, the sample proportion (p^) is 0.4 or 40%.
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The numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
To find the numerical value of the statistic p^ (sample proportion) for the given problem, you should follow these steps:
Identify the total number of students (n) in the sample, which is 60.
Identify the number of students with brown eyes (x), which is 24.
Calculate the sample proportion (p^) using the formula: p^ = x/n
Applying the formula:
p^ = 24/60
p^ = 0.4
So, the numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
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julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?
The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.
Explanation
On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
To find the probability, you can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)
Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%
So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.
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Change 95. 61 to degrees,minutes and seconds
95.61 degrees is equal to 95 degrees, 36 minutes, and 36 seconds or 95° 36' 36".
To convert decimal degrees to degrees, minutes, and seconds
The whole number of the decimal degree will be the degrees
Multiply the decimal part that remains by 60. The whole number of the result will be the minutes.
Multiply the decimal part that remains by 60. The resulting number will be the seconds.
So for 95.61 degrees
The whole number of 95.61 is 95 degrees.
Multiply 0.61 by 60 to get 36.6. The whole number of 36.6 is 36 minutes.
Multiply 0.6 by 60 to get 36 seconds.
Therefore, 95.61 degrees is equal to 95 degrees, 36 minutes, and 36 seconds.
In the format of degrees, minutes, and seconds: 95° 36' 36"
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A company makes 110 bags. 32 of the bags have buttons but no zips. 28 of the bags have zips but no buttons. 24 of the bags have neither zips nor buttons. How many bags have zips on them?
The number of bags that have zips on them is 28.
To solve this problem, we can use the principle of inclusion-exclusion.
First, we know that the total number of bags is 110.
Next, we know that 24 of the bags have neither zips nor buttons. Therefore, the number of bags that have either zips or buttons is 110 - 24 = 86.
We also know that 32 of the bags have buttons but no zips, and 28 of the bags have zips but no buttons.
To find the number of bags that have both zips and buttons, we can subtract the number of bags that have only buttons from the total number of bags with zips, or vice versa:
Number of bags with both zips and buttons = (Number of bags with zips) + (Number of bags with buttons) - (Number of bags with either zips or buttons)
Number of bags with both zips and buttons = 28 + 32 - 86 = -26
This result is clearly nonsensical, so we can conclude that there are no bags with both zips and buttons.
Therefore, the number of bags that have zips on them is simply the number of bags with zips but no buttons, which is 28.
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what is the simplified product of 2/9 x 3/8
A. 6/72. B. 5/17. C. 3/36. D.1/12
Answer:
[tex] \frac{2}{9} \times \frac{3}{8} = \frac{6}{72} = \frac{1}{12} [/tex]
D is the correct answer.
Can someone help me asap? It’s due tomorrow. I will give brainiest if it’s correct
Answer:
96
Step-by-step explanation:
Sammie’s Deli sells sandwiches that can be made with the ingredients listed on the board below. What is the probability that a customer will choose a sandwich on white bread with ham and either provolone or American cheese?
A- 1/6
B- 1/3
C- 1/4
D- 1/2
the probability of a customer choosing a sandwich on white bread with ham and either provolone or American cheese is 6/36, which simplifies to 1/6. Thus, option A is correct.
What is the probability?There are 3 bread options, 4 meat options, and 3 cheese options listed on the board, which gives us a total of [tex]3 \times 4 \times 3 = 36[/tex] possible sandwich combinations.
There are two cheese options that meet this criteria, so we can create two different sandwiches: one with provolone and one with American cheese.
Each of these sandwiches can be made in [tex]3 \times 1 \times 1 = 3[/tex] ways, as there are 3 bread options but only one option each for the ham and cheese. So, the total number of sandwich combinations that meet our criteria is [tex]2 \times 3 = 6.[/tex]
Therefore, the probability of a customer choosing a sandwich on white bread with ham and either provolone or American cheese is 6/36, which simplifies to [tex]1/6[/tex].
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Can someone help me in this?
Answer:
18
Step-by-step explanation:
Since it is an equilateral triangle AB=AC=5
If I sum up all sides u will get 18. How this helps.
A random sample of 7th grade students at a school shows that 14 out of 20 students like math. If the school has 250 students, how many would you predict like math ?
We would predict using the random sample that 175 students at the school like math.
What is confidence interval?A confidence interval is a range of values that, with a certain degree of certainty, is likely to contain the real value of a population parameter. In most cases, the level of confidence is stated as a percentage, such as 95% or 99%, and it indicates the likelihood that the parameter's actual value falls within the range. In statistics, confidence intervals are frequently used to calculate an estimate of a population parameter's value from a sample of data. A confidence interval, which offers a range of likely values for the population parameter, is constructed using the sample statistics and the variability of the data.
Given that, 14 out of 20 students like math.
Using proportions we have:
14/20 = 0.7.
Now for 250 students we have:
0.7 * 250 = 175
Hence, we would predict that 175 students at the school like math.
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andy collects rocks. The lengths of the rocks are shown below
rock 1,2,3,4,5,6 length (inches) 2 7/8,3 1/2,2 7/8,2 1/8,2 1/8,2 4/8
use a data line to make a line plot
please help im struggling
A line plot is a type of graph that displays data points as dots or markers connected by straight lines. The resultant line plot is given below.
What is a line plot:A line plot, also known as a dot plot, is a simple way to display data that consists of a number of discrete points. It is a one-dimensional graph that uses dots or Xs to represent individual data points. Each dot or X represents a single data point, and the number of dots or X's at a given location on the line represents the frequency or count of that data point.
Here we have
Andy collects rocks and the lengths of the rocks
Rock 1 2 3 4 5 6
length (in) 2 7/8, 3 1/2, 2 7/8, 2 1/8, 2 1/8, 2 4/8
For simple calculations convert the given fractions into Improper fractions and then into decimal numbers
2 7/8 = 23/8 = 2.875
3 1/2 = 7/8 = 0.875
2 7/8 = 23/8 = 2.875
2 1/8 = 17/8 = 2.125
2 1/8 = 17/8 = 2.125
2 4/8 = 20/8 = 2.5
Now use the coordinates (1, 2.875) (2, 0.875) (3, 2.875) (4, 2.125) (5, 2.125) and (6, 2.5) to plot the line
Therefore,
A line plot is a type of graph that displays data points as dots or markers connected by straight lines. The resultant line plot is given below.
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Which statement is true about the ordered pair (3 , 4)?
To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. So correct option is C.
Describe Ordered Pairs?In mathematics, an ordered pair is a pair of mathematical objects or values, written in a specific order. The two objects can be numbers, coordinates, points, or any other mathematical entity. An ordered pair is written in parentheses, separated by a comma. For example, (3, 5) is an ordered pair of two numbers, where 3 is the first element and 5 is the second element.
The order of the elements in an ordered pair is important, as it indicates which element represents the first coordinate or value, and which element represents the second. In many cases, ordered pairs are used to represent points in a coordinate plane, where the first element represents the x-coordinate and the second element represents the y-coordinate. For example, the ordered pair (3, 5) represents a point that is 3 units to the right on the x-axis and 5 units up on the y-axis from the origin.
To plot the ordered pair (3,4) on a coordinate plane, we need to move 3 units to the right on the x-axis and 4 units up on the y-axis from the origin (0,0). Therefore, the correct statement is:
C. To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
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The complete question is:
Which statement is true about the ordered pair (3 , 4)?
A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.
B. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.
C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
D. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.
Write an equation to match this graph.
The equation that matches the given graph can be represented by y = x + 7 , on the basis of coordinates of five different points on cartesian-plane.
What is a cartesian-plane?
A two-dimensional coordinate plane known as the cartesian plane is created when the x- and y-axes connect. The origin is the point at where the x- and y-axes cross perpendicularly. The x-coordinate and y-coordinate are the coordinates for each point on this plane. The ordinate and abcissa are other names for the x- and y-coordinates, respectively.
The points through which the given graph passes are:
(2,9) ; (3,10) ; (4,11) ; (5,12) and (6,13)
In (2,9): x=2 and y=9
y-x=7
In (3,10): x=3 and y=10
y-x=7
In (4,11): x=4 and y=11
y-x=7
In (5,12): x=5 and y=12
y-x=7
In (6,13): x=6 and y=13
y-x=7
∴ we can say that the difference of x and y coordinates in each point is 7
y-x=7
y=7+x
The required equation of the graph: y = x + 7
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I need to know what to fill out
The function is a linear function because as x increases, the y-value changes at a constant rate . The rate of change of this equation is 2.
How to find linear functions?The difference between linear and exponential functions is that Linear functions change at a constant rate per unit interval while an exponential function changes by a common ratio over equal intervals.
We are given the function table as:
(0, -3)
(1, -1)
(2, 1)
(3, 3)
Thus, we can see that as x increases, the y-value changes at a constant rate of + 2.
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