Find the area of the composite figure.
A. 65.1 sq in
B. 90.3 sq in
C. 106.3 sq in
D. 241.1 sq in

Answer:

972 junior executives should be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

35% of junior executives left their company within three years.

This means that [tex]\pi = 0.35[/tex]

0.95 = 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2[/tex]

[tex]n = 971.2[/tex]

Rounding up:

972 junior executives should be surveyed.

Answer:

4.25 + 2.50x < 25

Step-by-step explanation:

Makayla can't spend more than $25 and you pay an initial fee of 4.25 for the shoes and 2.50 for each game so the inequality would be

D.) $4.25 + 2.50x < 25.

Answer:

B = (-7,10)

Step-by-step explanation:

Given that , a line AB has midpoint (-2,4) and the coordinates of A is ( 3 , -2). We need to find out the coordinates of B .

=> Midpoint = ( x₁ + x₂ / 2 , y₁ + y₂/2 )

=> ( -2,4 ) = ( p + 3)/2 , ( q -2 )/2

=> -2 = p + 3/2

=> p + 3 = -4

=> p = -3 - 4

=> p = (-7)

Also :-

=> q - 2/2 = 4

=> q -2 = 8

=> q = 8 + 2

=> q = 10

Answer:

Step-by-step explanation:

Step-by-step explanation:

the range of data i think is c

mode is a.5

Answer:

V=196 cm cubed

Step-by-step explanation:

Formula: 1/3 Base * Height

Base = 7*7 = 49

49 * 12 = 588

588 * 1/3 = 196

There you go :)

Answer:

a) 1/3

b)45

Step-by-step explanation:

Answer:

a) 1/3

b)45

have a good day/night

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Whats the question?

Step-by-step explanation:

Answer:

As per the USDA's M&M's nutrition facts, a single candy contains 3.4 calories, while one package provides 236 calories, 2 grams of protein and more than 30 grams of sugar.

There are 160 calories in 4 sticks (45 g) of Twizzlers Twizzlers

you would eat more calories with M&M's g

Answer:

Here's li^{} nk to the answer:

bit.^{} ly/3fcEdSx

Answer:

The answer is A [   5(a + 6)   ]

Step-by-step explanation:

Answer:

F(x)=x+C

Step-by-step explanation:

Find the function by taking the integral of the derivative.

Answer:

Step-by-step explanation:

the instruction say put it in this form Ax +Bx = C  , but i'm sure they were meant to say this  Ax +By = C     note the  X and Y differences.  I'll use the latter form, b/c that's the  "standard" form

find the slope:

m = -11 - (-5) / -10-5

m = -11 + 5 / -15

m = -6 / -15

m = 2/5

y-(-5) = 2/5(x-5)

y + 5 = 2x/5 -2

y = [tex]\frac{2}{5}[/tex] x - 7

- [tex]\frac{2}{5}[/tex] x +y = -7

There you go, the right answer   :P

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Image might help

Answer:

103.68

Step-by-step explanation:

Answer:

103.68

To solve you would convert the percent to decimal form .72.

Then divide by 144

.72/144=103.68

your answer is 103.68

Answer:

I think 12 is 5he right answer

Answer:

what is that for

Step-by-step explanation:

what was that

Answer:

16.

Step-by-step explanation:

Is there a picture?

Answer:

1.5x + 7 < 30

Step-by-step explanation:

Let x = number of rides.

The total cost is

1.5x + 7

The inequality is

1.5x + 7 < 30

Answer:

Let us first jot down all the data given in the question;

Number of low quality computers (LQ) = 72

Number of medium quality computers (MQ) = 112

Number of high quality computers (HQ) = 711

∴ Total number of computers found in a random sample = 72 + 112 + 711 = 895.

∴ To find the probability of purchase for each category of computers, we use the following formula;

So,

P(LQ) = 72/895 = 0.08

P(MQ) = 112/895 = 0.125

P(HQ) = 711/895 = 0.794

Ans) Probability of purchase of  a low quality computer, a medium quality computer, and a high quality computer are 0.08, 0.125, and 0.794 respectively

A similar answer can be found here:-

https://www.brainly.com/question/7297949

Answer:

1/117,1/112,1/72

just make it a faction by adding one as the numeerator

Answer:

Answer:

number 1 is c      number 2 is b,c,e  number 3 is b

Step-by-step explanation:

1: if you see something to the power you will always think of repeated multiplication off the bat. so you just multiply the coefficient by the amount of the exponent.

2: 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1=1 no

2*2*2*2=16 yes

4*4=16 yes

8*8=64 no

16=16 yes

3: 3/4*3/4*3/4=27/64

hope this helps! have a nice day!

Answer:

tan 330°=Tan(360-30)°=-Tan30=-√3/3

A. .- (sqrt(3))/(3) is a required answer.

since it lies in forth quadrant as tan is negative in there

Or

-√3/3

[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]

Since 2x = 6, we have to divide each side by 2 to find x.

6÷2= 3

Our answer is 3.

9514 1404 393

Answer:

  316.2 m/s

Step-by-step explanation:

What the problem statement doesn't tell you is that the value of m in the formula must have units of kilograms. 17 grams is 0.017 kilograms, so the velocity is ...

  [tex]v=\sqrt{\dfrac{2K}{m}}=\sqrt{\dfrac{2(850)\text{ J}}{0.017\text{ kg}}}=\sqrt{100\,000}\text{ m/s}\approx316.2\text{ m/s}[/tex]

_____

Additional comment

If you simply put the numbers into the formula without regard to correct units, you might be led to believe the velocity is 10 m/s. That would be the speed of a 17 kg object with an energy of 850 J.