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2 years ago

15

What is 1 divided by 5^-2? Please give clear explanation. thanks.

1 answer:

Pani-rosa [81]2 years ago

7 0

1 / 5^-2

First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.

Now we have 1 / (1/25).

1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25

The answer is 25!

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6x-4y=8 solve for variable x

Radda [10]

6x - 4y = 8...solve for x
6x = 4y + 8
x = (4/6)y + 8/6
x = 2/3y + 4/3 <==

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3 years ago

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mr_godi [17]

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3 years ago

Read 2 more answers

The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of

Snowcat [4.5K]

Answer:

The value of x = 513

Step-by-step explanation:

Let x, y, and z be the three numbers

Given

$x+y+z=855$

Assuming x be the number which is 50% more than the sum of the other two numbers.

i.e.

(150)% of (y+z) = 1.5(y+z)

y + z = x/1.5

As we know that

$x + y + z = 855$

substituting y + z = x / 1.5 in the equation

$x+\frac{x}{1.5}=855$

Multiply both sides by 1.5

$x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5$

$1.5x+x=1282.5$

$2.5x=1282.5$

Divide both sides by 2.5

$\frac{2.5x}{2.5}=\frac{1282.5}{2.5}$

$x = 513$

Therefore, the value of x = 513

8 0

3 years ago

Hamza bought 8 gallons of brown paint to paint his kitchen and dining room. Unfortunately, when

dalvyx [7]

Answer:

4 gallons of white paint

Step-by-step explanation:

Let

x -----> quantity of gallons of white paint that Hamza has to buy

we know that

A gallon of white paint must mixed with 2 gallons of brown paint

using proportion

$\frac{1}{2}\frac{gallon\ white}{gallons\ brown} =\frac{x}{8}\frac{gallons\ white}{gallons\ brown}\\\\x=8/2\\x=4\ gallons\ white$

3 0

3 years ago

On the average, a grocer sells three of a certain article per week. How many of these should he have in stock so that the chance

olga2289 [7]

Answer:

7

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(x;μ) = (e^(-μ)) × (μ^(x))/x!

We are told that the grocer sells three of a certain article per week. Thus;

μ = 3

Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.

This means;

P(X > k) < 0.01

This can be rewritten as;

P(X ≤ k) < 0.99

Let's try x = 8

P(8;3) = (e^(-3)) × (3^(8))/8!

P(8;3) = 0.008

But; P(X ≤ 8) = 1 - 0.008 = 0.992

This is more than 0.99 and thus is not the answer

Let's try x = 7

P(7;3) = (e^(-3)) × (3^(7))/7!

P(7;3) = 0.022

But; P(X ≤ 7) = 1 - 0.022 = 0.978

Thus is less than 0.99.

Thus, stock should be 7

5 0

2 years ago