Step-by-step explanation:
mean = 0 + 0 + 3 + 3 + 10 ÷ 5
= 16 ÷ 5
= 3.2
median = 3
According to data from the United States Elections Project, only 38 percent of eligible voters voted in the 2014 elections. For random samples of size 40, which of the following best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections?
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.
B. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.006.
C. The sampling distribution is skewed to the right, with mean 0.64 and standard deviation 0.006.
D. The sampling distribution is approximately normal, with mean 0.64 and standard deviation 0.076.
E. The sampling distribution is skewed to the left, with mean 0.36 and standard deviation 0.076.
Answer:
I think it's either A or E sorry if I'm wrong
Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.The Central Limit Theorem states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]In this problem:
The proportion is [tex]p = 0.38[/tex].Samples of size 40, hence [tex]n = 40[/tex].Hence, the mean and standard error are given by:
[tex]\mu = p = 0.38[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076[/tex]
Also approximately normal, hence, option A is correct.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444
Help will give branliest
Answer:
They make heart shapes! hearts look like <3
Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
please I need help
A student's four test scores were 88, 91, 93 and 86. What score would be needed on a fifth test to obtain a mean of 90 for all five test?
A. 90
B. 92
C. 95
D. 96
Answer:
92
Step-by-step explanation:
88 + 91 + 93 + 86 = 358
90*5 = 450
therefore the fifth test has to be 450 - 358 = 92
Find the reference angle! I NEED HELP ASAP PLS!
Answer:
60°
Step-by-step explanation:
360 - 300 = 60
Hope this helps!
if all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?
A The new volume is 2 times the old volume.
B. The new volume is 4 times the old volume.
c. The new volume is 8 times the old volume.
D. The new volume is 9 times the old volume
Answer:
The new volume is 4 times the old volume ♡
6+2(3x4) divide 2 + 3-4
Step-by-step explanation:
hope it is helpful to you
HELP QUICK PLZ! NO SPAM.
XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?
Answer:
X (15, −8) → X ′(9, −3) → X ″(9, 3);
Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);
Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)
Step-by-step explanation:
Use the translation vector <−6, 5> to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).
Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .
X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).
Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).
Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).
To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).
Apply the reflection rule to the vertices of △X'Y'Z'.
X' (9, −3) → X'' (9, 3).
Y' (7, 26)→Y''(7, −26).
Z' (−23, 22) → Z'' (−23, −22).
Therefore,
X (15 ,−8) → X' (9, −3) → X'' (9, 3)
Y (13, 21) → Y' (7, 26) → Y'' (7, −26)
Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)
represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis.
Can somebody please help me out please my grads are bad
Please help, I don’t understand this.
Solve y=(x-3)^2
Please show all work!
Answer:
[tex]y=(x-3)^{2}[/tex]
Step-by-step explanation:
Direction: Opens Up
Focus: ( 3, 1/4)
Axis of symmetry: x=3
Directrix: y=-1/4
Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.
Evaluate 5x when x =8
Answer:
5x
= 5(8)
= 40
I hope I've helped
ANSWER THIS ASAP NO FILE AT ATT!!
Answer:c
Step-by-step explanation:
Just flip it backwards which one looks the same
Due soon pls help - who ever answers get brainiest !
Answer:
D if it helps
Step-by-step explanation:
What is the interquartile range?
3
2.5
6
2
The interquartile range depicted in the box plot is 2.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The first quartile is the first line on the box. The third quartile is the third line on the box.
The interquartile range = 4.5 - 2.5 = 2
To learn more about interquartile range, please check: https://brainly.com/question/3966385
#SPJ1
A. You work 30 hours a week. You need to earn $234 to cover your weekly expenses. Your dog-walking job pays $8 per hour and your job at the car wash pays $7.5 an hour. Write a system of linear equations to represent the situation.
Answer:
Line all of the numbers up
Step-by-step explanation:
You have $234 to cover all of your weekly expenses (bills, food, ect.) Your dog walking job pays (gives you) $8 per hour, the car wash job pays $7.50 an hour.
Name: Carl Seelig, single, 3 exemptions
Commission: 37.5%
Total Sales: $635.00
Wage for Week: $
FICA Tax (7.05%): $
Federal Tax (from Table): $
State Income Tax (at 1.5%): $
City Income Tax (3.2%): $
Total Tax: $
Paycheck after Taxes: $
Wage for Week: $ 238.13
FICA Tax (7.05%): $ 16.79
Federal Tax (from Table): $ 35.20
State Income Tax (at 1.5%): $ 3.57
City Income Tax (3.2%): $ 7.62
Total Tax: $ 63.18
Paycheck after Taxes: $ 174.95
Find the volume of this triangular prism.
25 cm
10 cm
10 cm
Answer:
volume of the triangular prism
[tex] (\frac{1}{2} \times 10 \times 10) \times 25 \\ 1250 {cm}^{3} [/tex]
Answer:
1250cm2Step-by-step explanation:
BY: [tex]ζBenjamin[/tex]
Help pls, Yes or no
Answer:
Yes
Step-by-step explanation:
The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.
Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.
Therefore we can see that they can be proved congruent by the HL Theorem.
Find the value of 5!
O A. 3125
O B. 20
O C. 120
OD. 25
Answer:
The answer is 120
Step-by-step explanation:
5! = 120
Thus, The answer is 120
-TheUnknownScientist
PLEASE help fast with attached question!! Thanks!
Answer: I thihnk it's 1x10^-2
Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small
g Around 20 years ago, the CDC learned of an outbreak of gastrointestinal illness in several Georgia elementary schools. The CDC began their investigation by examining a random sample of 452 children. Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria. On the other hand, only 20 of the remaining 148 who did not eat burritos became ill. (a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.
Answer:
The point estimate is 0.342.
Step-by-step explanation:
Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.
This means that:
[tex]p_B = \frac{145}{304} = 0.477[/tex]
On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.
This means that:
[tex]p_{NB} = \frac{20}{148} = 0.135[/tex]
a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.
The point estimate is the subtraction of the sample proportions. So
[tex]p = p_N - p_{NB} = 0.477 - 0.135 = 0.342[/tex]
The point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness is 0.342.
Write down the integer values that satisfy the inequality -5<_x<3
Answer:
(-4,-3,-2,-1,0,1,2)
Step-by-step explanation:
..........i hope it is............
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
4
8
Оооо
32
64
Answer:
64
Step-by-step explanation:
Answer:
D 64
Step-by-step explanation:
The person above me is correct. Got it right on Edge 2021
Finding missing angles
Answer:
sorry i just want to get points
select all the ordered pairs that satisfy the function y=8r+20
Answer:
r= 1/8 y + -5/2
Step-by-step explanation:
what is the volume of the cylinder?
Answer:
[tex]\pi {r}^{2} h[/tex]
r=5
h=4
Animals in an experiment are to be kept under a strict diet. Each animal should receive 60 grams of protein and 9 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has 30% protein and 6% fat; mix B
has 50% protein and 5% fat. How many grams of each mix should be used to obtain the right diet for one animal?
One animal's diet should consist of grams of Mix A
Answer:
hey there buddy
Step-by-step explanation:
Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *
What is this pls help me 1/3 times 3/7
Answer:
2/21
Step-by-step explanation:
2/21 is the answer...........that is the fraction......
x+1/3=3/7
x=3/7-1/3
LCM=21
x=9/21-7/21
x=2/21
What is the solution to the system of equations?
y = x +3
X=-2
Answer: (-2, 11/6)
Step-by-step explanation: