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QveST [7]
3 years ago
10

I think the answer is b, is this correct?

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

I think its D .

Step-by-step explanation:

hope this helps you

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A local movie theater offers a special deal for birthday parties. The price, which covers the cost of the tickets and a box lunc
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75+5x=150
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The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are
Sveta_85 [38]

Answer:

\huge\boxed{1000 \ \text{cm}^3}

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be a^{\frac{3}{2}}, a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

100^{\frac{3}{2}}

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - 100^{\frac{3}{2}} becomes \sqrt{100^3}

  • 100^3=1000000
  • \sqrt{1000000}=1000

Therefore, the volume of this cube will be 1000 \ \text{cm}^3

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be s^2, where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is s^3.

Since we know that one face is 100, we can make an equation - s^2=100

  • \sqrt{s^2}=\sqrt{100}
  • s=10

Now that we know the value of s, we can plug it into the volume formula, s^3.

  • 10^3
  • 10 \cdot 10 \cdot 10
  • 1000

So the volume is 1000 \ \text{cm}^3.

Hope this helped!

4 0
3 years ago
Which algebraic expression represents “Nicholas tripled his workout time”?
PolarNik [594]

Answer:

3 w

Step-by-step explanation:

because if you think about it nick was doing a lot and then he needs to triple so the equation would be 3 w

6 0
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SALE 40% OFF!<br> If a badminton set has a sale price of $18, what was the original price?
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2 years ago
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You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You
Ber [7]

Answer:

Test statistic  Z = -1.0

 |Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

                        p = \frac{x}{n} = \frac{47}{382} = 0.1230

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

<u><em>Step(ii):-</em></u>

Test statistic

              Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

         Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }

       Z = - 1.0

     |Z| = |-1.0| < 1.96 at 0.05 level of significance.

<u><em>Final answer:-</em></u>

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

               

4 0
3 years ago
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