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Romashka-Z-Leto [24]

3 years ago

13

From a shipment of 400 light-bulbs, a sample of 80 was selected at random and tested. If 32 light-bulbs in the sample were found

to be defective, how many defective light-bulbs would be expected in the entire shipment?

1 answer:

denis-greek [22]3 years ago

4 0

80 x 5 = 400
32 x 5 = 160
so you have about 160 <span>defective bulbs</span>

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14. Find the height of a cylinder if the surface area is 408.41 square inches and the radius is 5

weeeeeb [17]

Answer:

Height is 8.0in

Step-by-step explanation:

Surface Area of a cylinder = 2πr(r+h)

r is the radius

h is the height of the cylinder

Given surface area = 408.41in²

radius = 5in

h = ?

Substituting the given value into the formula

408.41 = 2π(5)(5+h)

408.41 = 50π + 10πh

408.41 = 50(3.14)+10(3.14)h

408.41 = 157+31.4h

408.41-157 = 31.4h

251.41 = 31.4h

h = 251.41/31.4

h = 8.0in

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3 years ago

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The rectangle below has an area of 81-x^2 square meters and a width of 9-x meters. What expression represents the length of the

oksian1 [2.3K]

For this case we have that by definition, the area of a rectangle is given by:

$A = w * l$

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

According to the data of the statement we have:

$A = 81-x ^ 2\\w = 9-x$

So, the length is given by:

$l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}$

We factor the numerator:

$l = \frac {(9 + x) (9-x)} {9-x}$

We simplify:

$l = 9 + x$

So, the length is $9 + x$

Answer:

$9 + x$

3 0

3 years ago

(X^1/8 y^1/4 z^1/2)^8

adell [148]

(x^1/8 y^1/4 z^1/2)^8
(8 √x 4 √y √z^8)
(8 √x 8 √y^2 8 √z^4)^8
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6 0

3 years ago