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3 years ago

Evaluate √24-x when x=6 Write the answer as a decimal. Round to the nearest hundredth if necessary.

1 answer:

6 0

If the x is also supposed to be included in the radical, then you should be $\sqrt{18}$ which simplifies to $3\sqrt{2}$ or approximately 4.24

If the x is on the outside, $\sqrt{24}$ simplifies to $2\sqrt{6}$ . Now do $2 \sqrt{6} - 6$ in a calculator to get approximately - 1.10

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Find the degree of the following angles please and thank you

bagirrra123 [75]

1) 90
2) 30
3) 150
4) 20
Hope this helped

6 0

3 years ago

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Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is

Natali5045456 [20]

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

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4 years ago

Assume that for a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. For someone who buys a set

Hatshy [7]

Answer:

The probability that all will last at least 30,000 miles is 0.3164.

Step-by-step explanation:

Consider the provided information.

For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,

That means the probability of not wearing out is 1-0.25 = 0.75

Now use the binomial distribution formula.

$^nC_r (p^{n-r})(q^r)$

Substitute p = 0.25, q=0.75, r=4 and n=4

$^4C_4 (0.25)^{4-4}(0.75)^4$

$1 \times 0.75^4$

$0.3164$

The probability that all will last at least 30,000 miles is 0.3164.

8 0

4 years ago

The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.

Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Let the length of the rectangle be L.
Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W ...... equation 1

Given the following data;

Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

Perimeter, P = 112 meters

4 0

3 years ago

X+5=3 solve equation for x

MArishka [77]

X + 5 = 3

Subtract both sides by 5

X = (-2)

6 0

3 years ago

Read 2 more answers