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Tresset [83]
3 years ago
13

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsour

cing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. a. What is the probability that exactly 5 companies that outsource overseas use a consultant

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

<h2>0.1</h2><h2>Step-by-step explanation:</h2>

please see attached the annotated solution

Given data

p=20%= 0.2

n=15 companies

let x = 5 the number of companies that outsource to overseas consultants

The binomial  probability distribution is given as

P(x=λ)=nCx*P^x*q^n-x

we also know that q=1-p

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A rectangle is 3 times as long as it is wide, and its perimeter is 80 centimeters. Find its dimensions
Free_Kalibri [48]

Say the width is W and the length is L

L=3W (and of course W=W)

Now you use the perimeter formula P=2L+2W

80=2(3W) + 2W)

80=6W+2W

80=8W Divide both sides by 8

W=10

Now that you know the width, substitute it back into L=3W to find the length

L=3(10)

L=30

The dimensions are length: 30 cm and width: 10 cm

8 0
3 years ago
Find the
irinina [24]

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

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6 0
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Step-by-step explanation:

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Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se
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<h3>Given</h3>

Two positive numbers x and y such that xy = 192

<h3>Find</h3>

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<h3>Solution</h3>

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f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

6 0
4 years ago
Mackenzie earns 49 00 in a day I a normal
oee [108]

Answer:

245

Step-by-step explanation:

$49.00 times 5 is 245. The 5 came from the question because it says a normal work week has 5 days so you would multiply $49.00 by 5

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