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Ahat [919]
2 years ago
13

The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre

e) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company is married and has a college degree is?
Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:0.68

Step-by-step explanation:

Given

Total of 600 employees out of which 400 had college degree ,100 are single

and 60 were single graduates

therefore out of 100, 60 were single and rest 40 are single undergraduate

and out of 400, 60 were single graduates thus 340 are married graduate.

Now out of 600, 100 were single i.e. 500 is married

thus Probability that an employee is married and has a college degree is

=\frac{Favourable outcome }{Total outcome}

P=\frac{340}{500}=0.68  

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Molly is making strawberry-infused water. For each ounce of strawberry juice, she uses 3 time many ounces of water. She wants to
Aneli [31]

Answer:

s + 3w = 64

Step-by-step explanation:

s represents the amount of strawberry juice

w represents the amount of water

then,  

s + 3w = 64

4 0
2 years ago
Read 2 more answers
Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin polynomials for the function in
Zielflug [23.3K]

Answer:

Σ(-1)^kx^k for k = 0 to n

Step-by-step explanation:

The nth Maclaurin polynomials for f to be

Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......

The given function is.

f(x) = 1/(1+x)

Differentiate four times with respect to x

f(x) = 1/(1+x)

f'(x) = -1/(1+x)²

f''(x) = 2/(1+x)³

f'''(x) = -6/(1+x)⁴

f''''(x) = 24/(1+x)^5

To calculate with a coefficient of 1

f(0) = 1

f'(0) = -1

f''(0) = 2

f'''(0) = -6

f''''(0) = 24

Findinf Pn(x) for n = 0 to 4.

Po(x) = 1

P1(x) = 1 - x

P2(x) = 1 - x + x²

P3(x) = 1 - x+ x² - x³

P4(x) = 1 - x+ x² - x³+ x⁴

Hence, the nth Maclaurin polynomials is

1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n

= Σ(-1)^kx^k for k = 0 to n

6 0
2 years ago
The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr
mrs_skeptik [129]

<u>Given</u>:

Let x represents the radius of the cylinder.

Given that the height of the cylinder is twice the radius of its base.

The height of the cylinder is 2x.

We need to determine the volume of the cylinder.

<u>Volume of the cylinder:</u>

The volume of the cylinder can be determined using the formula,

V=\pi r^2h

Substituting r = x and h = 2x, we get;

V=\pi (x)^2(2x)

Simplifying, we get;

V=\pi x^2(2x)

V=2\pi x^3

Thus, the expression that represents the volume of the cylinder is 2πx³ cubic units.

Hence, Option b is the correct answer.

8 0
2 years ago
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Each inch on a map of Roswell, New Mexico represents $0.51\text{ mile}$. If two hills in Roswell are $7$ inches apart on the map
pav-90 [236]

Answer:

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Step-by-step explanation:

we know that

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5 0
2 years ago
Sin(11∘)cos(19∘)+cos(11∘)sin(19∘)
sergij07 [2.7K]
Recall that:

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Therefore:

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I hope this explains it.
3 0
2 years ago
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