The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. Which of the following is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
answer choices
0.03
±
2.326
(
0.03
)
(
0.97
)
500
0.03±2.326 500
(0.03)(0.97)


0.15
±
2.326
(
0.15
)
(
0.85
)
500
0.15±2.326 500
(0.15)(0.85)


0.03
±
2.576
(
0.03
)
(
0.97
)
500
0.03±2.576 500
(0.03)(0.97)


0.15
±
2.576
(
0.15
)
(
0.85
)
500
0.15±2.576 500
(0.15)(0.85)

Answers

Answer 1

The confidence interval is (0.0104, 0.0496) (can include those endpoints too)

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those endpoints too)

To find the confidence interval for proportions

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by

The standard mean error is calculated by:

Then the confidence interval limits can be found by

Using the above formula for finding the confidence interval

We have n = 500, x = 15 and

Finding the standard mean error:

From the z tables, we get z = 2.5758

Thus, the confidence interval is obtained by

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

Therefore, The confidence interval is (0.0104, 0.0496) (can include those endpoints too)

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Related Questions

Two unequal values that are compared using less than (<) and greater than (>) signs.

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

maths

Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27

Answers

Answer:

The answer is B.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

So the answer is 15.

Hope this helps :)

-ilovejiminssi♡

Sorry for the blur but I need help with this one objective: find all seven angles

Answers

I know u need to add diverse then add again then u will get your answer which is 25

On Friday, a local hamburger shop sold a combined total of 308 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

Answer:

77

Step-by-step explanation:

x = hamburgers

3x = cheeseburgers

3x + x = 308

4x= 308

x = 77

Answer:

77

Step-by-step explanation:

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

HURRY WILL MARK AS BRAINLIEST IF CORRECT

Answers

Answer:

The nuber of cells double

Step-by-step explanation:

The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.

4/40 in its simplest form

Answers

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

So if x is 2.8 and the equation is x=y5 then what is y ?

Answers

Answer:

sooooooooo

Step-by-step explanation:

Answer:

x=y5

2.8=y^5

[tex] \sqrt[5]{2.8} [/tex]

=y

y=12.28

If your chances of losing the shell game if you randomly pick is 2 in 3. What are the chances that you would lose 5 games in a row?

A) 13.1687
B) 1.31687
C) .131687
D) .013687

Answers

Answer:

c

Step-by-step explanation:

si lanzas 3 monedas (de diferente denominación) se tienen 8 resultados. ¿cuantos habrá si se lanzan 4 monedas?​

Answers

Answer:

la respuesta es 16vpor que aumenta 2

___
H is the midpoint of IJ and IH = 0.75 find HJ

Answers

The answer is 1.5 bc 0.75 times 2 since it’s the midpoint

The length of a rectangle is 2 cm less than 4 times its width. If its
perimeter is 36 cm, what is its area?

Answers

Answer:

Step-by-step explanation:

[tex]L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2[/tex]

Answer:

L=4W-2

P=2L+2W

36= 2(4W-2)+2W

36= 8W-4 +2W

36= 10W-4

36+4=10W

40=10W

40/10=W

W=4

L=4(4)-2

L=14

AREA =L(W)

AREA = 4X14

AREA =48 cm

The value of a machine is decreasing by a constant percent rate each year. Which table could represent the possible value of the machine at the end of each year?

Answers

Answer:

C

Step-by-step explanation:

The possible value of the machine at the end of each year will be $3200

What is depreciation?

Depreciation in economics is a measure of the amount of value an asset loses from influential factors affecting its market value.

Given that, the value of a machine is decreasing by a constant percent rate each year, we need to find the possible value of the machine at the end of each year,

So, we can say that this is a case of depreciation,

Since, the values are not given, let us consider the rate be 20% and the initial price of the machine be $16000.

We know that, the depreciation, formula is given by :

A = P(1-r)ⁿ

Where, A = final amount, P = initial amount, r = rate and n = time.

Since, the value is decreasing by a constant percent rate each year,

Therefore, every year the amount decreased will be same,

Finding for 1 year,

A = 16000(1-0.2)¹

A = 16000(0.8)

A = 12800

The amount decreased = 16000-12800 = $3200

Therefore, after each year the decreased amount will be $3200

Hence, the possible value of the machine at the end of each year will be $3200

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Please help marking brainliest serious answers only

Answers

Answer:

d

Step-by-step explanation:

please mark me as brainlist and be happy

add me on sñap my ID is: arshad2623f

please i just wanted to make friends cuz I'm alone BTW I'm 15yo

Answer:

Consecutive Interior

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal) The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x

Answers

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

4.) A customer at a concession stand bought 2 boxes of popcorn & 3
drinks for $12. Another customer bought 3 boxes of popcorn & 5
drinks for $19. How much does a box of popcorn cost? How much does
a drink cost? Write and solve a system of equations
Equation 1 :
Equation 2:
Popcorn
Drink:

Answers

Answer:

10$ each

Step-by-step explanation:

A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?

Answers

Answer:

$24

Step-by-step explanation:

$24

30 x .80 equals 24

Hope this helps!

Plz, Mark Brainliest!

A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​30% actually enroll. If 30,000 students​ apply, how many actually​ enroll?

Answers

Answer:

Your answer is

60% apply means 30k *0.6= 18000

30% enroll so,.0.3*18k = 5400

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

5400 students

Step-by-step explanation:

well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls

Yesterday, Eddy ran 26.2 miles.

Today, he ran 10% of that.

How far did Eddy run today?

Answers

Answer:

Step-by-step explanation:

10% of 26.2 miles = 0.10×26.2 miles = 2.61 miles

joey is making a poster for bike safety week. the diameter of circle A is 18 in. If the area of a circle B is 1/5 the area of Circle A what is the area of circle B?

Answers

Pi r Square:
Circle A’s area is 81pi.
Circle B’s area is 20.2pi, or about 63.42

Rewrite the polynomial as a product of the monomial and the polynomial. −15a^2bc+20ab^2c−25bc^3

Answers

Answer:

Step-by-step explanation:

15a²bc = 3·5·a²·b·c

20ab²c = 2²·5·a·b²·c

25bc³ = 5²·b·c³

greatest common factor: 5bc

(-15a²bc + 20ab²c - 25bc³)÷(5bc) = -3a² + 4ab - 5c²

-15a²bc + 20ab²c - 25bc³ = (-3a² + 4ab - 5c²)(5bc)

How do you find the square root of -24 by simplifying

Answers

Answer:

you can't square root with negative numbers the answer will be math error and you cant simplify it unless it has no negative in it.

pedro y louis tiene 30 cromos. louis le dice a pedro 'dame 8 cromos para tener los mismos que tu'
cuantos cromos tiene cada uno.

Answers

Answer:

Pedro tiene 23 cromos y Luis 7.

Step-by-step explanation:

Sabemos que Pedro y Luis tienen (entre ambos) 30 cromos.

Definamos:

P = número de cromos que tiene Pedro

L = número de cromos que tiene Luis.

Entonces P + L = 30

Y sabemos que si Pedro le da 8 cromos a Luis, entonces ambos van a tener la misma cantidad de cromos.

Cuando Pedro da 8 cromos, el va a tener P - 8 en total

Cuando Luis recibe 8 cromos, el va a tener L + 8 en total

Entonces: P - 8 = L + 8

Tenemos dos ecuaciones:

P + L = 30

P - 8 = L + 8

Esto es un sistema de ecuaciones, para resolverlo el primer paso es aislar una variable en una de las ecuaciones, yo voy a aislar P en la primera:

P = 30 - L

Ahora podemos reemplazar esto en la otra ecuación para obtener:

(30 - L) - 8 = L + 8

Y podemos resolver esto para L.

30 - L - 8 = L + 8

22 - L = L + 8

22 - 8 = L + L

14 = 2*L

14/2 = L

7 = L

Entonces Luis tiene 7 cromos, y reemplazando esto en cualquiera de las dos ecuaciones que teníamos originalmente podemos encontrar el valor de P.

P + L = 30

P + 7 = 30

P = 30 - 7 = 23

Pedro tiene 23 cromos.

Help needed with this asap

Answers

Answer:

f(-3) = 4(-3) + 5 = -12 + 5 = -7. the answer is #2.

2 , I just did this and got it right

Can you just solve these two problems I don’t get it. Please help

Answers

Answer:

PROBLEM 5: 80

PROBLEM 6: 94

Step-by-step explanation:

PROBLEM 5:

5(2 times 5 + 6)

=5(10+6)

5(16) = 5 times 16

=80

PROBLEM 6:

4 times(5 to the power 2)-6

4(25)-6

=100-6

=94

Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0.4. And F2 = A1. Round your answers to 2 decimals. Time 1 2 3 4 5 6 7 8 9 10 11 12 Sales 48 41 37 32 36 31 43 52 60 48 41.9 29.7

Answers

Answer:

The exponential smoothing forecast for period 13 = 39.68

Step-by-step explanation:

As given,

[tex]\alpha[/tex] = 0.4

Time                 Sales                              forcast

1                            48                                  

2                           41                                 48

3                           37                                 48 + [tex]\alpha {(41 - 48)}[/tex] = 45.2

4                           32                                 45.2 + [tex]\alpha {(37 - 45.2)}[/tex] = 41.92

5                           36                                 41.92 + [tex]\alpha {(32 - 41.92)}[/tex] = 37.95

6                           31                                 37.95 + [tex]\alpha {(36 - 37.95)}[/tex] = 37.17

7                            43                                 37.17 + [tex]\alpha {(31 - 37.17)}[/tex] =  34.70

8                           52                                 34.70 + [tex]\alpha {(43 - 34.70)}[/tex] = 38.02

9                           60                                 38.02 + [tex]\alpha {(52 - 38.02)}[/tex] = 43.61

10                          48                                 43.61 + [tex]\alpha {(60 - 43.61)}[/tex] = 50.17

11                           41.9                                 50.17 + [tex]\alpha {(48 - 50.17)}[/tex] = 49.30

12                           29.7                                 49.30 + [tex]\alpha {(41.9 - 49.30)}[/tex] = 46.34

13                                                                    46.34 + [tex]\alpha {(29.7 - 46.34)}[/tex] = 39.68

∴ we get

The exponential smoothing forecast for period 13 = 39.68

Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.

Answers

Answer:

a) The boundaries are [tex]Z = \pm 0.253[/tex]

b) The boundaries are [tex]Z = \pm 0.675[/tex].

c) The boundaries are [tex]Z = \pm 1.96[/tex].

d) The boundaries are [tex]Z = \pm 2.575[/tex].

Step-by-step explanation:

Z-score:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. The middle 20% from the 80% in the tails.

The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:

40th percentile: Z has a pvalue of 0.4, so Z = -0.253.

60th percentile: Z has a pvalue of 0.6, so Z = 0.253.

The boundaries are [tex]Z = \pm 0.253[/tex].

b. The middle 50% from the 50% in the tails.

The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:

25th percentile: Z has a pvalue of 0.25, so Z = -0.675.

75th percentile: Z has a pvalue of 0.75, so Z = 0.675.

The boundaries are [tex]Z = \pm 0.675[/tex].

c. The middle 95% from the 5% in the tails.

The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:

2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.

97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.

The boundaries are [tex]Z = \pm 1.96[/tex].

d. The middle 99% from the 1% in the tails.

The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:

0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.

99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.

The boundaries are [tex]Z = \pm 2.575[/tex].

The z-score boundaries, Z for a middle 20% from the 80% in the tails = [tex]\pm 0.253[/tex].The z-score boundaries, Z for a middle 50% from the 50% = [tex]\pm 0.675[/tex].The z-score boundaries, Z for a middle 95% from the 5% = [tex]\pm 1.96[/tex].The z-score boundaries, Z for a middle 99% from the 1% = [tex]\pm 2.575[/tex].

What is a z-core?

A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.

a. A middle 20% from the 80% in the tails.

Note: The middle 20% is between the 40th percentile and 60th percentile.

40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.

Z = [tex]\pm 0.253[/tex]

b. A middle 50% from the 50% in the tails.

Note: The middle 50% is between the 25th percentile and 75th percentile.

25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.

Z = [tex]\pm 0.675[/tex]

c. A middle 95% from the 5% in the tails.

Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.

2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.

Z = [tex]\pm 1.96[/tex]

d. A middle 99% from the 1% in the tails.

Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.

0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.

Z = [tex]\pm 2.575[/tex]

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Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.

Answers

Answer:

1 and 2 adjacent

5 and 6 are linear pair

Step-by-step explanation:

Consider these functions

f(x) = 4x^3 - 10

3x - 4
g(x) = _______
2

What is the value of g(f(2))

A. -6
B. 2
C. 19
D. 31

Answers

Answer:  D) 31

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

More about the function link is given below.

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Factor 3n^2 + 5n - 2
PLZ HELP

Answers

Answer:

(3n - 1)(n + 2)

Step-by-step explanation:

Other Questions
A wooden ring whose mean diameter is 14.5 cm is wound with a closely spaced toroidal winding of 615 turns.Compute the magnitude of the magnetic field at the center of the cross section of the windings when the current in the windings is 0.640 A . At high environmental temperatures, which of the following variables impact the amount of heat loss by evaporation?a) convective currentsb) all of these answers are correctc) ambient temperature and relative humidityd) amount of exposed skin FILL IN THE BLANK. The competing values framework teaches us that companies with a _______ culture tend to have more positive organizational outcomes. Divide. Write your answer as a fraction or mixed number in simplest form.-22/21 divide (-2/7) Using the Internet, local newspapers, and/or any regional information, write a 500-word overview of the impact that the euro is having on the global economy. In your report, tell of the current financial strength of the dollar against the euro: Which is stronger right now? Include any significant news about how countries are doing since they adopted the euro as their standard. Are some countries actually worse off since they adopted the euro? In what ways are some countries better? You may wish to include information about some European countries that did not initially join the euro movement but now are having second thoughts. the most stable (tightly bound) atomic nucleus in the universe is: find the center and radius by completing the square x2+6x+y2-4y=3 Classify each singular point (real or complex) of the given equation as regular or irregular. (2 - 3x 18) ?y" +(9x +27)y' - 3xy = 0 Identify all the regular singular points. Select the correct choice below and fill in any answers boxes within your choice. X = A. (Use a comma to separate answers as needed.) OB. There are no regular singular points. TRUE/FALSE. The treasurer of a corporation usually reports to the CFO of the firm. What do the findings of Chetty et al. (Tennessee STAR paper) and Chetty, Friedman, and Rockoff (long-run effects paper) imply about the human capital vs. signaling models of the returns to schooling? A Ferris wheel has a diameter of 76 m and holds 36 cars, each carrying 60 passengers. Suppose the magnitude of the torque, produced by a Ferris wheel car and acting about the center of the wheel, is -1. 45E6 Nm. What is the cars weight? Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition" investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 m and standard deviation 150 m was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (a) What is the probability that the size of a single droplet is less than 1365 m? At least 950 m? (Round your answers to four decimal places.) less than 1365 m at least 950 m (b) What is the probability that the size of a single droplet is between 950 and 1365 m? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of droplets are those smaller than m in size. (d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1365 m? (Round your answer to four decimal places.) What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box. radians Suppose a program is supposed to remove the second and second-to-last elements in a vector. For example, if we have the following vector: [1,2,3,4,5,6,71 Then the new resulting vector will be: (1,3,4,5,71 When the program is finished. Which of the algorithms below correctly describes the steps that can be taken to do this? o 1 Reverse the last two elements of the vector 2. Call the pop back function 3. Reverse the entire vector 4. Reverse the first two elements of the vector 5. Call the pop back() function 6. Reverse the entire vector o 1. Reverse the last two elements of the vector, 2. Call the pop_back function. 3. Reverse the entire vector 4. Reverse the last two elements of the vector, 5. Call the pop_back function 6. Reverse the entire vector, O 1. Reverse the first two elements of the vector 2. Call the pop_back) function 3. Reverse the entire vector 4. Reverse the first two elements of the vector 5. Call the pop_back) function 6. Reverse the entire vector. O 1. Reverse the first two elements of the vector- 2. Call the pop_back function 3. Reverse the entire vector 4. Reverse the last two elements of the vector 5. Call the pop_back function 6, Reverse the entire vector under feudalism were Europeans able to deal with outside threats Identify the shape of the moon in this picture. (2 points)a small amount of the sun illuminating off of a sliver of the moon aCrescent bFull circle cHalf circle dThree quarters of a circle Which of the following positions is closet to the position Holbach argues for about free will?O The notion of free will is logically incoherent O We are free, but only just a little O We are not responsibleO If the universe is deterministic (and it is), we do not act freely If the universe is deterministic (and it is not), we do not act freely LHow many grams of lead (II) sulfate will precipitate out of solution when 90.0 mL of a 0.10M lead (II)nitrate solution reacts with an excess of sulfuric acid? Nitric acid is another product of this reaction.___Pb(NO3)2+____H2SO4>____PbSO4+____HNO3 related to the concept of risk governance one of the four objectives of risk governance is Use the facts that the negation of a statement is a statement and that the negation of an if-then statement is an and statement to rewrite each of the statements without using the word necessary or sufficient. Show work and steps require to get the answer.a) Being divisible by 8 is not a necessary condition for being divisible by 4.b) Having a large income is not a necessary condition for a person to be happy.c) Having a large income is not a sufficient condition for a person to be happy.d) Being a polynomial is not a sufficient condition for a func- tion to have a real root.