Answers
Answer:
C.
Step-by-step explanation:
Area of a Sector Formula: A = x/360πr²
Since we are given x and r, simply plug it in:
A = 40/360π(4)²
A = 1/9π(16)
A = 16π/9
Answer:
[tex] \frac{16\pi}{9} {cm}^{2} [/tex]Option C is the correct optionStep-by-step explanation:
[tex]angle \: theta = 40 \: degree \\ theta = 40 \times \frac{\pi}{180 } \\ theta = \frac{2\pi}{9} [/tex]
Radius= 4 cm
[tex]area = \frac{1}{2} \times theta \: \times {r}^{2} \\ \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{2\pi}{9} \times {4}^{2} \\ \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{2\pi}{9} \times 16 \\ \: \: \: \: \: \: \: = \frac{16\pi}{9 \: {cm}^{2} } [/tex]
Hope this helps....
Good luck on your assignment...
Related Questions
The circumference of a circle is 36 x feet. What is the length of the radius of this circle?
O 9 ft
18 ft
0 36 ft
072 ft
Answers
Answer:
[tex] \boxed{\sf Radius \ of \ circle = 18 \ ft} [/tex]
Given:
Circumference of a circle = 36π feet
To Find:
Length of the radius of circle (r).
Step-by-step explanation:
[tex] \sf \implies Circumference \: of \: a \: circle =2\pi r \\ \\ \sf \implies 36 \cancel{\pi} = 2 \cancel{\pi }r \\ \\ \sf \implies \frac{36}{2} = \frac{ \cancel{2}r}{ \cancel{2}} \\ \\ \sf \implies \frac{36}{2} = r \\ \\ \sf \implies r = \frac{36}{2} \\ \\ \sf \implies r = \frac{18 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies r = 18 \: ft[/tex]
Based on past experience, it is predicted that 31% of registered voters in Oklahoma will vote in the next primary. The 31% would be considered an example of:
Answers
Answer:
Option D is correct.
The 31% would be considered an example of inferential statistics.
Step-by-step explanation:
Complete Question
Based on past experience, it is predicted that 31% of registered voters in Oklahoma will vote in the next primary. The 31% would be considered an example of:
A) Qualitative data
B) Descriptive statistics
C) A sample
D) Inferential statistics
Solution
Taking the options one at a time.
- Qualitative data is a dataset where the members of the dataset are grouped or represented according to some categorical condition or property. It is also called categorical data. It is normally non-numerical in nature. This is obviously not the correct answer.
- Descriptive Statistics are brief or summary statistics that summarize a given data set. Descriptive statistics are broken down into measures of central tendency and measures of dispersion or variability (the spread of the distribution about the mean). The 31% is a prediction using past datasets, it isn't a descriptive statistic to summarize all that is in the current dataset.
- A sample is a dataset that consists of variables picked from the population distribution. It is a smaller set of variables usually extracted from the population. This is also not the answer.
Inferential Statistics uses results from the past datasets or dataset using some other condition to obtain a predicted statistic for a current dataset or the dataset given current conditions.
From the question, the results from the old dataset (based on past experiences), is used to predict some statistic (percentage of registered voters in Oklahoma who will vote in the next primary). It is evident that this is the answer; 31% prediction for registered voters in Oklahoma will vote in the next primary, was made using past experience. Inferential Statistic.
Hope this Helps!!!
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned $2 less per hour. How many hours did Jackie work?
Answers
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
HELP ASAP WILL MARK BRAINIEST IF YOU ARE RIGHT !Which of the following represents a function?
Answers
Answer:
Option C.
Step-by-step explanation:
This is a function because all of the numbers have a partner, and none of them have more than one.
Example of Not a Function
Function Not a Function
-4 to 5 -4 to 5 <
9 to 7 -4 to 3 <
13 to 3 13 to 3 ^
-7 to 5 9 to 7 ^
-7 to 5 ^
Not a Function because of this
Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters
Answers
Answer:
Length = 29 m
Width = 29 m
Step-by-step explanation:
Let x and y be the length and width of the rectangle, respectively.
The area and perimeter are given by:
[tex]A=xy\\p=116=2x+2y\\y=58-x[/tex]
Rewriting the area as a function of x:
[tex]A(x) = x(58-x)\\A(x) = 58x-x^2[/tex]
The value of x for which the derivate of the area function is zero, is the length that maximizes the area:
[tex]A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m[/tex]
The value of y is:
[tex]y = 58-29\\y=29\ m[/tex]
Length = 29 m
Width = 29 m
select the equations of the lines that are parallel to the line whose equation is y = 3x + 5
Answers
Answer:
3y = 9x
Y= 3x
-3x+y = 8
Y= 3x +8
Step-by-step explanation:
Y= 3x+5
To determine the Line parallel to the above line equation, we have to recall the principle of parallel line .
From principal of parallel line.
M= m'
Means the gradient of the both equation will be equal.
From the above equation.
The gradient= 3
The gradient is the coefficient of x
Comparing to the options giving
Let's look for the options with the coefficient of x = 3
3y = 9x
Y= 3x........ number 1
-3x+y = 8
Y= 3x+8 ... number 2
Other equation will not give is a coefficient of 3
Answer:
-3x + y = 8
and
3y = 9x
I the horizontal change between two points on a line.
Answers
Answer:
m = rise /run = (y2-y1)/(x2-x1)
Step-by-step explanation:
In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.
Answer: Run is the horizontal change between two points on a line.
Step-by-step explanation:
[!] Urgent [!] Find the domain of the graphed function.
Answers
A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections,
how many ways can he arrange his program?
Answers
Answer:
since order of songs matter in a concert as well, every scenario of the 5 songs being played in different order will be a different scenario.
so, we will permute 5 from 9.
9!/4!
15120 different scenarios
WILL GIVE BRAINLIEST Explain how you found the outer surface area of the rectangular prism with a hole through it. (Writing Prompt)
Answers
Answer:
You found the area of each side of the rectangular prism, subtracting the missing area from the front and back sides of the prism. Then you added together the area of all 6 faces to find the total outer surface area.
I hope this helps :)
Step-by-step explanation:
Kylie and miranda began arguing about who did better on their tests, but they couln't decide who did better given that they took different tests, kylie took a test in Art History and earned a 77.3, and Tan took a test in English and earned a 62.9. Use the fact that all the students' test grades in the Art History class had a mean of 73 and a standard deviation of 10.7, and all the students' test grades in English had a mean of 66.8 and a standard deviation of 10.8 to answer the following questions.
a) Calculate the Z-score for Isaac's test grade.
b) Calculate the 2-score for lan's test grade.
c) Which person did relatively better?
A. Kylie
B. miranda
C. They did equally well.
Answers
Answer:
a) 77.3-73/10.7= 0.40187
b) 62.9-66.8/10.8= -0.36111
c) Kylie did relatively better
Step-by-step explanation:
What value of x makes this equation true?
Answers
Answer:
1/11
Step-by-step explanation:
simply because 12 power 1/11 means 11 times the rootYou want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 At the 5% level of significance, the conclusion of the test is that the a. data does not follow a normal distribution. b. null hypothesis cannot be rejected. c. sample data has no probability distribution. d. sample data is incorrect.
Answers
Answer:
b. null hypothesis cannot be rejected.
Step-by-step explanation:
At the 5% level of significance, the conclusion of the test is that the
The test statistic is 2 and the critical value is 7.815. Since the test statistic is less than the critical value, we can not reject the null hypothesis.
If a hypothesis is not rejected at the 0.10 level of significance, it: a. may be rejected at the 0.05 level. b. must be rejected at the 0.025 level. c. must be rejected at the 0.05 level. d. will not be rejected at the 0.05 level.
Answers
Answer:
Option D - Will not be rejected at the 0.05 level.
Step-by-step explanation:
The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.
Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.
Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.
Thus, looking at the options, we will not reject at 0.05 significance level.
7. The mean age at first marriage for respondents in a survey is 23.33,
with a standard deviation of 6.13. For an age at first marriage of 33.44,
the proportion of area beyond the Z score associated with this age is
.05. What is the percentile rank for this score?
Answers
Answer:
[tex] \mu = 23.33, \sigma =6.13[/tex]
And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:
[tex] z=\frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{33.44 -23.33}{6.13}= 1.649[/tex]
We know that the proportion of area beyond the Z score associated with this age is .05 so then the percentile would be: 95
Step-by-step explanation:
For this case we have the following parameters:
[tex] \mu = 23.33, \sigma =6.13[/tex]
And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:
[tex] z=\frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{33.44 -23.33}{6.13}= 1.649[/tex]
We know that the proportion of area beyond the Z score associated with this age is .05 so then the percentile would be: 95
Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising \$500$500dollar sign, 500 by selling ccc boxes of candy. For every box they sell, they make \$2.75$2.75dollar sign, 2, point, 75. Write an equation that the students could solve to figure out how many boxes of candy they need to sell.
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
182 boxes
▹ Step-by-Step Explanation
$500 ÷ $2.75
= 181.81 ... → 182 boxes
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
182
Step-by-step explanation:
500/2.75 = 181.81
181.81 = 182
The chi-square value for a one-tailed (lower tail) test when the level of significance is .1 and the sample size is 15 is a. 23.685. b. 6.571. c. 7.790. d. 21.064.
Answers
Answer:
The degrees of freedom are given by:
[tex] df =n-1= 15-1=14[/tex]
And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:
[tex] \chi^2 = 7.790[/tex]
And then the best answer would be:
c. 7.790
Step-by-step explanation:
For this case we know that we are using a one tailed (lower tail) critical value using a significance level of [tex]\alpha=0.1[/tex] and for this case we know that the ample size is n=15. The degrees of freedom are given by:
[tex] df =n-1= 15-1=14[/tex]
And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:
[tex] \chi^2 = 7.790[/tex]
And then the best answer would be:
c. 7.790
Finding angle measures between intersecting lines
Answers
Answer: 60° angle
Step-by-step explanation: AGD is a 90° angle, therefore, subtracting 30 from the 90 degrees gives you 60. As x is vertical to the 60 degree angle and verticals have the same degree measurement, x=60°.
The angle measures between intersecting lines is,
⇒ x = 60°
We have to given that,
There are three lines are intersect at point G.
Now, To find the value of x we can apply the definition of vertically opposite angle and linear pair angles, as,
⇒ 30° + 90° + x = 180°
Solve for x,
⇒ 120° + x = 180°
Divide by 120;
⇒ x = 180° - 120°
⇒ x = 60°
Therefore, The angle measures between intersecting lines is,
⇒ x = 60°
Learn more about the angle visit:;
https://brainly.com/question/25716982
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will give brainliest Evaluate 15/k when k is 3
Answers
Answer:
Hey there!
15/k, when k=3
15/3=5
Answer:
5
Step-by-step explanation:
its a simple as 15/3 = 5
have fun
I need help pls pls pls pls
Answers
Answer:
D. 4
Step-by-step explanation:
If he leaves the science assignments for the next day, he will spend zero hours on science assignments. This means that y is equal to 0. Plug this into the given equation and solve for x.
2x + y = 8
2x + 0 = 8
2x = 8
x = 4
Gerald can complete 4 math assignments.
Which of the following statements about feasible solutions to a linear programming problem is true?A. Min 4x + 3y + (2/3)z
B. Max 5x2 + 6y2
C. Max 5xy
D. Min (x1+x2)/3
Answers
Answer:
The answer is "Option A"
Step-by-step explanation:
The valid linear programming language equation can be defined as follows:
Equation:
[tex]\Rightarrow \ Min\ 4x + 3y + (\frac{2}{3})z[/tex]
The description of a linear equation can be defined as follows:
It is an algebraic expression whereby each term contains a single exponent, and a single direction consists in the linear interpolation of the equation.
Formula:
[tex]\to \boxed{y= mx+c}[/tex]
HELP ASAP! Consider the linear function below here. (The photo)
Find the slope of each of the functions and decide which has the steeper one.
Answers
Answer:
A. is your answer
The problem is: On a Map, 3 inches represents 40 miles, How many inches represents 480 miles?
Answers
480/40=12
12x3=36
6a - 3c + a + 2b = what the answer
Answers
Answer:
7a+2b-3c
Step-by-step explanation:
6a+a = 7a
2b stays the same
-3c stays the same
Answer:
Hey mate, here is your answer. Hope it helps you.
7a-3c+2b
Step-by-step explanation:
6a+a-3c+2b
=7a-3c+2b
3c and 2b will be the same because the variables are different. They are not like terms.
i am stuck on this please help!
Answers
Answer:
[tex]20 {x}^{3} - 36 {x}^{2} + 7x + 3[/tex]Solution,
[tex](5x + 1)(2x - 1)(2x - 3)[/tex]
[tex] = 5x(2x - 1) + 1(2x - 1) \times (2x - 3) \\ = (10 {x}^{2} - 5x + 2x - 1)(2x - 3) \\ = (10 {x}^{2} - 3x - 1)(2 x - 3) \\ = 10 {x}^{2} (2x - 3) - 3x(2 x - 3) - 1(2x - 3) \\ = 20 {x}^{3} - 30 {x}^{2} - 6 {x }^{2} + 9x - 2x + 3 \\ = 20 {x}^{3} - 36 {x}^{2} + 7x + 3[/tex]
Hope this helps..
Good luck on your assignment...
Determine the logarithmic regression of the data below using either a calculator or spreadsheet program. Then, estimate the x−value when the y−value is 5.2. Round your answer to one decimal place. (4.7,10.7),(7.8,20.6),(10.5,30.2),(15.6,41),(20.8,56.1),(22,65.1). Please help right away! Thank you so much!
Answers
Answer:
y ≈ 33.7·ln(x) -45.94.6Step-by-step explanation:
A graphing calculator can perform logarithmic regression, as can a spreadsheet. The least-squares best fit log curve is about ...
y ≈ 33.7·ln(x) -45.9
The value of x estimated to make y = 5.2 is about 4.6.
If -5(x+8) =-25, then x=-3
Answers
Answer:
Correct!
Step-by-step explanation:
-5(x+8)=-25
x+8=5
x=-3
Answer:
here, -5(x+8)=-25
or, -5x +(-40)= -25
or, -5x=-25+40
or, x= 15/-5
therefore the value of x is -3....ans..
hope u understood..
11/n = 8/5 solve for n
Answers
Answer:
n = 55/8
Step-by-step explanation:
You can solve it by cross multiplying. Where you multiply the denominator of the fraction on the left side with the numerator on the right side, and vice versa.
11/n = 8/5
n x 8 = 11 x 5
8n = 55
n = 55/8
(or 6.875)
Answer:
[tex]\boxed{\pink{n = 7 \frac{3}{8} }}[/tex]
Step-by-step explanation:
[tex] \frac{11}{n} = \frac{8}{5} \\ [/tex]
Use cross multiplication
[tex]11 \times 5 = 8 \times n \\ 55 = 8n \\ \frac{55}{8} = \frac{8n}{8} \\ n = 7 \frac{3}{8} [/tex]
Please help me in this
Answers
Answer:
the first question:a half is 1/2 = 0.5
10 perecent ⇒ (0.5*10)/100= 0.05
the second question :the percentage of 19⇒ (19*100)/20 = 95 percent
What is 10% of a half?
= 0.05
10% of 0.5 is 0.05.
Divide 0.5 by 10 and move the decimal point one place to the left.
---------------------------
What percentage of 20 is 19?
= 95%
Convert the fraction
Steps:
19/20 =
19 divided by 20 =
0.95
0.95 x 100/100 =
0.95 x 100% =
(0.95 x 100)% =
95%
The graphs below are the same shape what is the equation of the blue graph
Answers
Answer:
B. g(x) = (x-2)^2 +1
Step-by-step explanation:
When you see this type of equation your get the variables H and K in a quadratic equation. In this case the (x-2)^2 +1 is your H. The (x-2)^2 +1 is your K.
For the H you always do the opposite so in this case instead of going to the left 2 times you go to the right 2 times (affects your x)
For the K you go up or down which in this case you go up one (affects your y)
And that's how you got your (2,1) as the center of the parabola
-Hope this helps :)