Step-by-step explanation:
The first step is to find the radius of the circle, which is half the diameter:
r = 5.6/2 = 2.8 inThe area of the entire circle is:
A = πr² = 3.14 x 2.8² = 24.616 in²To find the area of the sector, we need to multiply the area of the whole circle by the fraction of the circle represented by the central angle. Since the central angle is 130° out of 360° (a full circle), the fraction of the circle represented by the sector is:
130/360 = 13/36Therefore, the area of the sector is:
A = (13/36) x 24.616 = 8.912 in²Rounding to the nearest hundredth, we get:
A ≈ 8.91 in²Therefore, the area of the sector is approximately 8.91 in².
3% of stolen bikes are returned. If there’s 335 bikes stolen what is the probability that 12 or more bike will be returned
The probability that 12 or more bikes will be returned out of 335 stolen bikes is approximately 0.1747 (17.47%).
Understanding Probability of Stolen BikesLet X be the random variable representing the number of bikes returned out of 335 stolen bikes.
We are given that the probability of a single bike being returned which is:
p = 0.03 (3% written as a decimal).
We can use the binomial distribution to calculate the probability of X bikes being returned:
P(X = k) = [tex]335C_{k} * p^{k} * (1-p)^{335-k}[/tex]
where [tex]335C_{k}[/tex] reads 335 combination k.
To find the probability that fewer than 12 bikes will be returned, we can calculate the cumulative probability:
P(X < 12) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 11)
Using a calculator, we find that:
P(X < 12) = 0.8253.
The probability of 12 or more bikes being returned can be calculated as the complement of the probability of fewer than 12 bikes being returned:
P(X ≥ 12) = 1 - P(X < 12) = 1 - 0.8253 = 0.1747
Therefore, the probability that 12 or more bikes will be returned out of 335 stolen bikes is approximately 0.1747 or 17.47%.
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trig worksheet questions
The missing sides are;
1) √296 (2) √68 (3) 2√10 (4) 21 (5) 15√3 (6) 14√2
What is the right triangle?A right triangle is a triangle that has one angle equal to 90 degrees, which is also known as a right angle.
1) Using the Pythagoras theorem;
[tex]x^2 = 14^2 + 10^2[/tex]
x = √296
2) [tex]x^2 = 18^2 - 16^2[/tex]
x = √68
3) Tan 45 = x/2√10
x = 1 * 2√10
x = 2√10
4) Cos 30 = x/14√3
x = 14√3 * √3/2
x = 21
5) Sin 60 = x/30
x = 30 * √3/2
x = 15√3
6) Cos 45 = x/28
x = 28 * √2/2
x = 14√2
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(help!)
which equation illustrates the matrix associative property of addition
The correct option that shows the associative property is D:
[tex](\left[\begin{array}{ccc}4\\2\end{array}\right] + \left[\begin{array}{ccc}3\\5\end{array}\right]) + \left[\begin{array}{ccc}1\\3\end{array}\right] = \left[\begin{array}{ccc}4\\2\end{array}\right] + (\left[\begin{array}{ccc}3\\5\end{array}\right] + \left[\begin{array}{ccc}1\\3\end{array}\right] )[/tex]
Which equation shows the associative property of addition?The associative property of addition says that we can perform sums in any order we want:
A + (B + C) = (A + B) + C
The option that shows this property is the one at D, where we have 3 vectors and we can select any order in which we add them, such that the sum is written as:
[tex](\left[\begin{array}{ccc}4\\2\end{array}\right] + \left[\begin{array}{ccc}3\\5\end{array}\right]) + \left[\begin{array}{ccc}1\\3\end{array}\right] = \left[\begin{array}{ccc}4\\2\end{array}\right] + (\left[\begin{array}{ccc}3\\5\end{array}\right] + \left[\begin{array}{ccc}1\\3\end{array}\right] )[/tex]
That expression shows the associative property of the addition with matrices.
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Hurry! Lyne bought a jacket for 39$ with 29% off. How much did she pay for the jacket without adding tax? Ty!
Answer:
$27.69
Step-by-step explanation:
39 - (39)(0.29) = 39 - 11.31 = 27.69
Bank a charged 45 $ monthly fee with unlimited transaction. Bank b charged 20$ monthly fee plus 0.70for each transaction
Answer:
To determine which bank is more cost-effective, we need to consider how many transactions we will make per month. Let's call the number of transactions "t".
Bank A charges a flat fee of $45 per month, regardless of how many transactions we make. So the total cost of using Bank A for one month is:
Total cost for Bank A = $45
Bank B charges a monthly fee of $20, plus $0.70 for each transaction. So the total cost of using Bank B for one month is:
Total cost for Bank B = $20 + ($0.70 x t)
To determine which bank is more cost-effective, we need to find the value of "t" that makes the total cost of Bank B equal to the total cost of Bank A.
$45 = $20 + ($0.70 x t)
$25 = $0.70 x t
t = $25 / $0.70
t ≈ 36
So if we make 36 or more transactions per month, Bank A is more cost-effective. If we make fewer than 36 transactions per month, Bank B is more cost-effective.
Question
Mr. Alsup asked the students in his third- and sixth-period English classes whether they had chosen a topic for
their writing assignment. He recorded the data in a two-way table, as shown below.
O 3%
English class
Third period
Sixth period.
Total
Yes
24
22
46
No
6
32
9
Total
30
25
55
If Jannette is in Mr. Alsup's sixth-period English class, what is the probabilty that she has not chosen a topic
for her writing assignment?
The probability that Jannette in Mr. Alsup's sixth-period English class has not chosen a topic for her writing assignment is approximately c.12%. Therefore, option c.12%. is correct.
To find the probability that Jannette in Mr. Alsup's sixth-period English class has not chosen a topic for her writing assignment, we need to calculate the proportion of students in that class who have not chosen a topic.
From the table, we can see that in the sixth period, there are a total of 25 students. Out of those, 22 students have chosen a topic, and 3 students have not chosen a topic.
The probability can be calculated by dividing the number of students who have not chosen a topic (3) by the total number of students in the sixth period (25), and then multiplying by 100 to get the percentage:
Probability = (Number of students who have not chosen a topic / Total number of students in the sixth period) × 100
Probability = (3 / 25) × 100
Probability ≈ 12%
Therefore, the probability that Jannette in Mr. Alsup's sixth-period English class has not chosen a topic for her writing assignment is approximately 12%.
The correct answer is c- 12%.
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7 The table shows how the number of college degrees earned in the United States has changed over time aa linear function or an exponential function a better model for the data? Justify your answer . b. Predict the number of college degrees earned in the United States in 2050. this more likely to be an underestimate or an overestimate ? Explain
Part 1a) An exponential function is a better model to represent the data because the rate of change is not constant instead of using a linear function, whose rate of change (slope) is constant.
Part 1b) The slope between each points are different. So, the data is best represented by an exponential function.
Part 2a) The estimated number of college degrees earned in the United States in 2050 is about 2 million.
Part 2b) The estimated number is more likely to be an under-estimation.
What differentiates an exponential function from a linear function?Exponential equations increase by a constant exponent or power, written in the form of $$f(x) = ab{x}$$.
Linear equations or functions increase by a constant slope, written in the form of y = mx + b, where m is the slope.
Year College degrees
( thousands)
1910 37
1930 122
1950 432
1970 792
1990 1,051
2010 1,650
Using exponential smoothing in Excel, the result of the prediction shows that 2,237,000 college degrees will be earned in 2050.
The number of college degrees earned in the United States in 2050 = 2,237,000 ≈ 2 million.
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solve the equation 3x < 18
Answer:
x < 6
Step-by-step explanation:
3x < 18 ( divide both sides by 3 )
x < 6
Triangle XYZ is shown on the coordinate plane
If triangle XYZ is translated using the rule (x,y) ——> (x+1, y - 4) and then reflected across the Y axis to create triangle XYZ, what is the location of Z
The location of Z after the transformations is given as follows:
(-2,-1).
How to obtain the location of Z?The original coordinates of Z are given as follows:
Z(1, 3).
The translation rule is given as follows:
(x,y) -> (x + 1, y - 4).
Hence the coordinates of Z after the translation are given as follows:
(2, -1).
The rule for a reflection over the y-axis is given as follows:
(x, y) -> (-x, y).
Hence, exchanging the sign of the y-coordinate, the location of Z is given as follows:
(-2,-1).
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Answer:
(-2, -1)
Step-by-step explanation:
Hope this helps :)
Dividing by Binomials and Polynomials
ovement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
Match each expression on the left with its quotient on the right.
(x²-x-30) + (x-6)
(x³ - 2x² - 7x-4) + (x² + 2x + 1)
(x³ + 2x² - 1) + (x²-x + 1)
Clear
x+3 R2x-4
x+5
x-4
Click and hold an item in one column, then drag it to the matching item in the other column.
The target will highlight or the cursor will change. Need help? Watch this video.
The division expressions to the quotients and remainders are
(x² - x - 30) ÷ (x - 6) = x - 5(x³ - 2x² - 7x - 4) ÷ (x² + 2x + 1) = x - 4(x³ + 2x² - 1) ÷ (x² - x + 1) = x + 3 R 2x - 4Matching the division expressions to the quotient and remaindersExpression (a)
The expression is given as
(x² - x - 30) ÷ (x - 6)
The synthetic set up is
6 | 1 -1 30
|__________
Bring down the first coefficient, which is 1 and repeat the process
6 | 1 -1 30
|___6_-30_____
1 -5 0
This means that
Quotient = x - 5 with no remainder
Expression (b)
The expression is given as
(x³ - 2x² - 7x - 4) ÷ (x² + 2x + 1)
Using a graphing tool, we have
(x³ - 2x² - 7x - 4) ÷ (x² + 2x + 1) = x - 4 with no remainder
This means that
(x³ + 2x² - 1) ÷ (x² - x + 1) = x + 3 R 2x - 4
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Help please (elementary stats)
The probabilities are given as follows:
a) x is less than 60: 0.9495 = 94.95%.
b) x is greater than 16: 0.9909 = 99.09%.
c) x is between 16 and 60: 0.9404 = 94.04%.
d) x is greater than 60: 0.0505 = 5.05%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution,The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 42, \sigma = 11[/tex]
The probability of a value less than 60 is the p-value of Z when X = 60, hence:
Z = (60 - 42)/11
Z = 1.64
Z = 1.64 has a p-value of 0.9495.
Hence the probability of a value greater than 60 is of:
1 - 0.9495 = 0.0505 = 5.05%.
The probability of a value greater than 16 is one subtracted by the p-value of Z when X = 16, hence:
Z = (16 - 42)/11
Z = -2.36
Z = -2.36 has a p-value of 0.0091.
1 - 0.0091 = 0.9909 = 99.09%.
The probability of a value between 16 and 60 is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 16, hence:
0.9495 - 0.0091 = 0.9404 = 94.04%.
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17. Find the circumference given
KL 4.6 in. Round to the nearest
tenth.
The circumference of the given circle is approximately 47.3 inches.
Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:
arc length = (central angle / 360°) x circumference
Plugging in the known values, we have:
4.6 in = (35° / 360°) x circumference
Solving for the circumference, we get:
circumference = 4.6 in / (35° / 360°)
circumference = 4.6 in x (360° / 35°)
circumference ≈ 47.3 in (rounded to the nearest tenth)
Therefore, the circumference of the circle is approximately 47.3 inches.
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Z= v-e/m ; solve for m
The solution to the equation when solved for m is (v - e)/Z.
Algebraic equationTo solve for m in the equation Z = (v - e)/m, we can manipulate the equation algebraically as follows:
Z = (v - e)/m
Multiply both sides by m:
Zm = v - e
Add e to both sides:
Zm + e = v
Subtract e from both sides:
Zm = v - e
Divide both sides by Z:
m = (v - e)/Z
Therefore, the solution for m is:
m = (v - e)/Z.
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Cydney built a display stand out of two cubes. The larger cube is 8 inches on each side. The smaller cube is 4 inches on each side. She painted the display stand after she put the two cubes together. She did NOT paint the bottom of the display stand. What was the total area she painted?
(Show work, I'm sorry)
ಥ‿ಥ
The total area Cydney painted on the display stand is 416 square inches, excluding the bottom of the larger cube.
5. To solve the problem, we need to find the total area that Cydney painted on the display stand.
Plan for solving the problem:
Calculate the surface area of each cube.Determine the area that was painted, considering the bottom face of the larger cube was not painted.Calculate the total area painted by adding the surface area of both cubes and subtracting the area of the bottom face of the larger cube.6. Solving the problem:
The surface area of a cube is given by the formula: [tex]6 * (side length)^2[/tex].
For the larger cube:
Surface area of the larger cube =[tex]6 * (8 inches)^2[/tex] = 6 * 64 square inches = 384 square inches.
For the smaller cube:
Surface area of the smaller cube = [tex]6 * (4 inches)^2[/tex]= 6 * 16 square inches = 96 square inches.
Since the bottom of the display stand was not painted, we need to subtract the area of the bottom face of the larger cube:
Area of the bottom face of the larger cube = [tex](side length)^2[/tex] =[tex](8 inches)^2[/tex] = 64 square inches.
Finally, we can calculate the total area Cydney painted by adding the surface area of both cubes and subtracting the area of the bottom face of the larger cube:
Total area painted = (Surface area of the larger cube + Surface area of the smaller cube) - Area of the bottom face of the larger cube
= (384 square inches + 96 square inches) - 64 square inches
= 480 square inches - 64 square inches
= 416 square inches
Therefore, Cydney painted a total area of 416 square inches on the display stand.
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what is the meaning of sequence in mathematic and
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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Can someone please help me out with this?
Answer: center: (5,-5) radius: 8
Step-by-step explanation:
found it online:)
Select the correct answer.
What transformations are applied to the graph of the function () = 10 to produce the graph of the function g(z)
OA
OB.
OC
D.
a vertical dilation by a factor of
and a horizontal shift to the right 2 units
a vertical dilation by a factor of
and a vertical shift down 2 units
a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
a vertical dilation by a factor of 3 and a vertical shift down 2 units
3(10) - 2?
The correct statement regarding the transformations to [tex]f(x) = 10^x[/tex] to create [tex]g(x) = 3(10)^x - 2[/tex] is given as follows:
A vertical dilation by a factor of 3 and a vertical shift down 2 units
How to define the transformations?The parent function for this problem is given as follows:
[tex]f(x) = 10^x[/tex]
The transformed function for this problem is given as follows:
[tex]g(x) = 3(10)^x - 2[/tex]
Hence the transformations are given as follows:
Vertical dilation by a factor of 3, due to the multiplication by 3.Vertical shift down 2 units, due to the subtraction by 2.More can be learned about transformations in a figure at https://brainly.com/question/28687396
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- A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (r + 1.5)- + (y+ 2)=9. Which graph shows the position and radius of the wheels? need answers right now
The location of the center and the radius will be (-1.5. -2) and 3, respectively. Thus, the correct option is A.
Given that:
Equation: (x + 1.5)² + (y + 2)² = 9
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
Compare the equation, then we have
Center: (-1.5, -2)
Radius: r² = 9 ⇒ r = 3
Thus, the correct option is A.
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Approximate √14 to the nearest tenth. show work and explain on a piece of paper. I will mark you brainliest!
Answer:
please see explanation and attachment
Step-by-step explanation:
√16 = 4.
√14 = ?
how do we get from 16 to 14? we subtract 2. r = remainder. denominator is twice √16, ie 8.
so we have 4 r -2 r 8
= 4 r -1 r 4
= 3 r 3 r 4
= 3.75
= 3.8 to nearest tenth
Change the subject of the formula from: D = 5A = 1000 to A
VERY IMPORTANT PLEASE HELP VERY LIMITED TIME
The solution of the equation using Cramer's rule is x = -3, and y = 2.
What is the solution of the equation using Cramer's rule?The solution of the equation using Cramer's rule is calculated as follows;
x + 2y = 1
-3x - 2y = 5
Find the determinant of the matrix;
[1 2]
[-3 -2]
Δ = -2 - (-6) = 4
Find the x determinant;
[1 2]
[5 -2]
Δx = -2 - 10 = -12
Find the y determinant;
[1 1]
[-3 5]
Δy = 5 - (-3) = 8
The value of x = Δx/Δ = -12/4 = -3
The value of y = Δy/Δ = 8/4 = 2
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Answer the question fom the image
Area of the figure is 402.8 ft².
We have,
Rectangle area = Length x Width
Area of sector = π r² x angle / 360
Now,
There are two rectangles and one sector.
So,
Area of one rectangle.
= 8 x 2
= 16 ft²
Area of another rectangle.
= 5 x 2
= 10 ft²
Area of the sector.
= π x r² x {360 - (150 + 90 + 90)}
= 3.14 x 2² x 30
= 376.8 ft²
Now,
The area of the figure.
= 16 + 10 + 376.8
= 402.8 ft²
Thus,
The area of the figure is 402.8 ft².
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Can a triangle have 3 sides with different lengths?
Please help help help with number 6!
Answer:
Q6. x = 8.1 ***
Q7 x = 27.87
***For question 6: Your picture of question 6 is so blurred I could not really make out the angle; I took it as 36° . If it is something else, use the formula given below with the correct angle and compute **
Step-by-step explanation:
In right triangle, with one of the angles = θ , the following relationships hold
[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\\\\\sin\theta = \dfrac{opposite}{hypotenuse}\\\\\tan\theta = \dfrac{opposite}{adjacent}\\[/tex]
where
adjacent means side adjacent to θ
opposite means side opposite to θ
In the given figure in Q6,
θ = 36° (I had difficulty making out the picture)
adjacent = x
hypotenuse = 10
so
[tex]\cos 36^\circ = \dfrac{x}{10}\\\\x = 10 \cdot \cos 36^\circ\\\\x = 10 \cdot 0.809\\\\x = 809\\\\\text{x = 8.1 rounded to the nearest tenth}[/tex]
I have answered question 7 also since it is very similar:
[tex]\sin 35^\circ = \dfrac{16}{x}\\\\x = \dfrac{16}{\sin 35^\circ}\\\\\\= \dfrac{16}{0.574}\\\\\\= 27.8745\\\\= 27.87 \text{ to the nearest hundredth\\}[/tex]
Hurry! Figure the batting averages
The batting average for Brett is of 0.25 = 25%.
How to obtain the batting average?The batting average is obtained applying the proportions in the context of the problem.
A proportion is applied as the batting average is given by the division of the number of hits by the number of at bats.
Brett got 10 hits in 40 at bats, hence his batting average is calculated as follows:
10/40 x 100% = 0.25 x 100% = 25%.
From the image given at the bottom, we have that he got 10 hits on 40 at bats, hence the batting average calculated above is of 25%.
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The mass of Stewart's favorite frying pan is 0.52 0.520, point, 52 kilograms. What is the mass of the frying pan in grams? 97POINTSS
The mass of the frying pan in grams is 52 grams.
What is a conversion factor?In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.
Generally speaking, there are one (1) kilogram in one hundred (100) grams. This ultimately implies that, a proportion or ratio for the conversion of 0.52 kilogram to grams would be written as follows;
Conversion:
1 kilogram = 100 grams
0.52 kilogram = x grams
By cross-multiplying, we have the following:
x = 0.52 × 100
x = 52 grams.
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Complete Question:
The mass of Stewart's favorite frying pan is 0.52 kilograms. What is the mass of the frying pan in grams?
The graph below could be the graph of which exponential function?
||||
5
5
The graph could be the graph of exponential function of option b)
[tex]F(x) = 2 • (0.5)^{x} [/tex]
The general form of an exponential function is
[tex]f(x) = {ab}^{x} [/tex]
Here, a is the function's starting value and b is its growth factor.
F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function
The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.
Given that the graph indicates that the function is decreasing, b must be less than 1.
It indicates that the necessary function is in the form of
[tex]f(x) = 2(b)^{x} [/tex]
Where it is b<1
By checking option B, b=0.5<1. Hence, option B is the correct answer
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Note that the full question is:
(check the attached image)
If the relationship is proportional, what is the missing value from the table? x y –3 9 –5 ? –7 21 –18 –15 15 18If the relationship is proportional, what is the missing value from the table? x y –3 9 –5 ? –7 21 –18 –15 15 18
If two variables are directly proportional, this means that the ratio of the two variables is constant. In other words, if x and y are directly proportional, then there exists some constant k such that:
y = kx
To find the missing value in the table, we can first calculate the value of k using any set of corresponding values for x and y. For example, we can use the first row of the table:
y = kx 9 = k(-3) k = -3
Now that we know k, we can use it to find the missing value for the second row:
y = kx y = (-3)(-5) y = 15
Therefore, the missing value in the table is 15.
Priya has $50 to spend shopping with Mai. She finds an $18 gift for her parents and an item she thinks each of her 5 siblings would like.
Priya wonders if she could use the inequality 18+5n<50
or 18+5n≤50
to figure out whether she can buy the items she found. Mai thinks it matters in this case.
1. Do you agree with Mai?
Responses
The cost of the items indicates that the inequality that represents the cost or amount spent is; 18 + 5n ≤ 50, therefore, yes Mai is correct, because the total amount spent depends on the amount with Priya
Mai is correctWhat is an inequality?An inequality is a comparison between two expressions, variables, or quantities that are of different values, using the symbols, '<', '≤', '≠', '≥', and '>'.
The amount Priya has to spend = $50
The cost the gift she finds for her parents = $18
The number of siblings Priya has = 5
Therefore;
The cost of the items she thinks each of her 5 siblings would like = 5 × n
The total cost of the items Priya intends to buy = 18 + 5·n
The inequality that indicates the possibility of Priya buying all the items she finds is therefore;
18 + 5·n ≤ 50
Therefore, May is correct as the amount or the cost of items Priya buys should be less than or equivalent to the $50 Priya has
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