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3 years ago

What is the volume of the rectangular prism?

Mathematics

2 answers:

ella [17]3 years ago

8 0

Ur answer is

540in^3

ie. the third option

aev [14]3 years ago

7 0

Here volume of rectangular prism = length x width x height
So on plug in given values here,
Volume of required prism = 10 x 18 x 3 = 540 cubic in
So third option is correct answer.

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max and his friend zeke are comparing their ages. they figure out that if they double maxs age from 3 years ago and add it to ze

Gre4nikov [31]

Let m be max's age
Let z be zekes age
2m+z=26
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2m+8=26
2m=26-8
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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

$Z_{\alpha /2} = Z_{0.025}= -1.96$

$Z_{1-\alpha /2} = Z_{0.975}= 1.96$

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=x[bar]-μ ⇒ Z= 17-15 = 1.99

σ/√n 5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

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4 years ago

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Y_Kistochka [10]

Solution is: $50\leq T\leq 64$ and it means, the minimum temperature is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.