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2 years ago

The length of a rectangle is 8 inches more than the width. if the perimeter is 204 inches what are the length and the width

Mathematics

1 answer:

Dafna11 [192]2 years ago

5 0

Answer:

207

Step-by-step explanation:

just add

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If 4 liters of motor oil cost $3.88, what is the price for 1 liter?

Alexxx [7]

The price of 1 liter motor oil is $0.97

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3 years ago

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Peter buys a camper van costing £35000 + 20% VAT. He pays a 50% deposit and then arranges to pay the remaining balance in 20 equ

shutvik [7]

The amount paid each month is 1050.

35,000 plus 20% is 42,000 because 20% of 35,000 is 7,000.

Next, divide 42,000 by 20, and you would get 1050.

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2 years ago

If y=1/4 when x=5, find y when x=7, given that y directly with x

mariarad [96]

Answer:

7/20

Step-by-step explanation:

Since y varies directly with x, the ratio of y to x is proportional.

... y / 7 = (1/4)/(5)

... y / 7 = 1 / 20 . . . . simplify

... y = 7/20 . . . . . multiply by 7

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3 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

2 years ago

Find an equation of the tangent line to the curve at the given point. y = x + tan(x) at (pi, pi)

S_A_V [24]

Differentiating :

y' = 1 + sec^2(x),

cosπ=−1

plug in pi = -1 ,for x:

1 + sec^2(pi) = 1 + (-1)^2
= 2

8 0

3 years ago