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3 years ago

If a car factory checks 360 cars and 8 have defects, how many will have defects out of 1260?

Mathematics

1 answer:

saul85 [17]3 years ago

6 0

Answer:

We can expect 28 defected cars.

Step-by-step explanation:

Let us assume that the defected cars are "uniformly distributed" in the total set of cars.

Then we can write the proportion 8%2F360 = x%2F1260 for the unknown amount x of defected cars among 1260 cars.

Solving the proportion for x you get

x = 8%2A1260%2F360 = 8%2A3.5 = 28.

You might be interested in

Find the slope of the line that passes through (4, 6) and (2, 3).

Verizon [17]

The slope is 3/2

To find the slope, you have to use the slope formula

y2-y1/x2-x1

6-3/4-2

3/2

So the slope is 3/2

3 0

3 years ago

Using the numbers 4,4,10, and 12. And using any mathematical operator (multiplication,subtraction,addition, or subtraction) how

Gennadij [26K]

I believe one answer could be (4x4)=16-10=6+12=18+10=28-4=24?

6 0

3 years ago

5.708 x 10v-8 in standard form<br><br> Calculator won’t answer it..

Troyanec [42]

Hi Sebastian0113,

Your Question:

5.708 x 10^-8 in standard form

Solution:

Decimal Form:

To solve this equation just divide 5.708 by 10 8 times.

= 5.708 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10

= 0.000000005708

5.708 x 10^-8 = 0.000000005708

Standard Form:

5.708 x 10^8

5.708 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

= 570,800,000

Answer:

Standard Form - 570,800,000

Decimal Form - 0.0000005708

8 0

3 years ago

Read 2 more answers

uppose that Mary's utility function is U(W) = W0.5, where W is wealth. She has an initial wealth of $100. How much of a risk

Stels [109]

Note that $U(W) = W^{0.5}$

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function, $U(W) = W^{0.5}$

Mary's initial wealth = $100

The gamble has a 50% probability of raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, $E_w$

$E_{w}$ = (0.5 * $115) + (0.5 * $77)

$E_{w}$ = 57.5 + 38.5

$E_{w}$ = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

$E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75$

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

$E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375$

Mary's risk premium is $0.9375

7 0

3 years ago

Examine the diagram of circle V, where two chords, JK and LM, are equidistant from the center. If JK=4x+37, and LM=5(x+5), what

77julia77 [94]

Answer:

x=12

Step-by-step explanation:

we know that

If the two chords are equidistant from the center of the circle, then the chords must be congruent.

JK=LM

substitute the given values

$4x+37=5(x+5)$

solve for x

$5x-4x=37-25\\x=12$

6 0

3 years ago