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Mathematics

1 answer:

Lunna [17]3 years ago

4 0

Answer:

the solution for x is x=40

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Matt plans to put concrete on a rectangular portion on his driveway. The portion is 8 feet long and 4 inches high. The price of

marishachu [46]

First the cost of $98 /yd³ by the conversion factor that
1 yd³ = 27 ft³.
($98 /yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³

Let x be the width, the volume of the rectangular portion of the driveway is,

V = (8 ft) (1/3 ft) x = 8x/3 ft³

Using the given total cost of the protion,
C = $58.07 = (8x/3 ft³)($ 3 17/27/ft³)

x = 5.99957 ft
the answer is 6 feet. (rounded)

8 0

2 years ago

Consider the inequality-5(x+7)<-10 write an inequality representing the solution for x

GrogVix [38]

Answer:

Step-by-step explanation:

-5(x + 7) < -10 use the distributive property a(b + c) = ab + ac

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10 add 35 to both sides

-5x < 25 change the signs

5x > - 25 divide both sides by 5

x > -5

6 0

2 years ago

A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors 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:

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