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olya-2409 [2.1K]

2 years ago

8

- If there are 12 inches in a foot, what is 4,096 cubic inches converted to cubic feet? a. 28.44 ft3 c. 2.370 ft b. 341.33 ft3 d

. 4.096 ft3

1 answer:

11Alexandr11 [23.1K]2 years ago

7 0

Step-by-step explanation:

2.370.

One cubic foot equals 1728 cubic inches. So, to convert from cubic inches to cubic feet you should divide your cubic inches figure by 1728.

I hope it helps!

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A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?

LiRa [457]

Answer:

8 / 15

Step-by-step explanation:

Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Required outcome :

Even numbers = (2, 4, 6, 8, 10, 12, 14) or 13

Total required outcomes = 8

Probability = required outcome / Total possible outcomes

P(even number or 13) = 8 / 15

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2 years ago

Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the

harina [27]

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

<u>1. Conditions</u>

First we must check the conditions.

<em>Randomization condition: </em>The sample is given to be random, so we can assume independence.

<em>Success/failure condition: </em>Both np>10 and nq>10 must be met.

np = 1030(103/1030) = 103 ✓
nq = 1030(927/1030) = 927 ✓

<em>10% condition: </em>The sample cannot be greater than 10% of the population.

10n < N, 10(1030) < 200000 ✓

All conditions are met, so we can use <u>a 1-proportion z-interval</u> to represent the data.

<u></u>

<u>2. Mechanics</u>

<u>Find </u> $\hat{p}$ <u>, the sample proportion.</u>

103/1030 = .1

$\hat{q}$ , then, the probability of not p, is 1 - .1 = .9

<u>Find z* (z star), the critical z-value.</u>

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

<u>Plug values into the equation.</u>

$\hat{p}$ ± z* $\sqrt{\frac{\hat{p}\hat{q}}{n} }$

.1 ± 1.96 $\sqrt{\frac{.1*.9}{1030} }$

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

<u>3. Conclusion</u>

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

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3 years ago

What does the equal sign with an arrow mean?

stealth61 [152]

The <span>⇒</span><span> sign means that if the function on the left hand side of the notation is true, then so is the function on the right hand side of the notation.</span>

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3 years ago

Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 4

Vesna [10]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

Let the number be = n

Twice the number n = 2n

Sum of twice the number and six = 2n+6

Thirteen less than twice the sum of a number and six = 2n+6-13

And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is: $2n+6-13 = 47$

Solving the algebraic expression

solving the equation for 'n'

$2n+6-13 = 47$

$2n-7=47$

Add 7 to both sides

$2n-7+7=47+7$

Simplify

$2n=54$

Divide both sides by 2

$\frac{2n}{2}=\frac{54}{2}$

Simplify

$n=27$

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2 years ago

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Answer:

Please restate your question.

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Step-by-step explanation:

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