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wariber [46]
3 years ago
11

Devon's uncle built for him a cube-shaped toy box. The box has a volume of 25 cubic feet. Devon wants to place the toy box again

st a wall and under a shelf that is 36 inches above the ground. Will the toy box fit? Explain your reasoning.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

a

Step-by-step explanation:

a)

(b)

(c)

Step-by-step explanation:

we are given

length is x+1

width is x+3

height is x-3

(a)

we can use volume formula

now, we can plug it

now, we can simplify it

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

now, we can factor it

(b)

we are given volume

so, we can set

and then we can solve for x

now, we can factor it

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The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the sta
galina1969 [7]

Answer:

The value <em>155</em> is zero standard deviations from the [population] mean, because \\ x = \mu, and therefore \\ z = 0.

Step-by-step explanation:

The key concept we need to manage here is the z-scores (or standardized values), and we can obtain a z-score using the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

Where

  • z is the <em>z-score</em>.
  • x is the <em>raw score</em>: an observation from the normally distributed data that we want <em>standardize</em> using [1].
  • \\ \mu is the <em>population mean</em>.
  • \\ \sigma is the <em>population standard deviation</em>.

Carefully looking at [1], we can interpret it as <em>the distance from the mean of a raw value in standard deviations units. </em>When the z-score is <em>negative </em>indicates that the raw score, <em>x</em>, is <em>below</em> the population mean, \\ \mu. Conversely, a <em>positive</em> z-score is telling us that <em>x</em> is <em>above</em> the population mean. A z-score is also fundamental when determining probabilities using the <em>standard normal distribution</em>.

For example, think about a z-score = 1. In this case, the raw score is, after being standardized using [1], <em>one standard deviation above</em> from the population mean. A z-score = -1 is also one standard deviation from the mean but <em>below</em> it.

These standardized values have always the same probability in the <em>standard normal distribution</em>, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155. How many standard deviations from the mean is the value 155?

From the question, we know that:

  • x = 155.
  • \\ \mu = 155.
  • \\ \sigma = 50.

Having into account all the previous information, we can say that the raw score, <em>x = 155</em>, is <u><em>zero standard deviations units from the mean.</em></u> <u><em>The subject   earned a score that equals the population mean.</em></u> Then, using [1]:

\\ z = \frac{x - \mu}{\sigma}

\\ z = \frac{155 - 155}{50}

\\ z = \frac{0}{50}

\\ z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

\\ x = \mu

Therefore

\\ z = 0

So, the value 155 is zero standard deviations <em>from the [population] mean</em>.

5 0
3 years ago
One number is 6 more than another. The sum of the numbers is 30. Find the numbers
likoan [24]

Answer:

The answers are 18 and 12

Step-by-step explanation:

You just start from 6 and 0 and keep on going like 7 and 1, 8 and 2, 9 and 3 etc. When I reached 18 and 12, the sum was 30, and it was 6 numbers apart.

5 0
3 years ago
Which is likely to have a mass close to 700 grams?
oksano4ka [1.4K]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the volume of the pyramid. in 3 pls help and explain!! :)
Natali5045456 [20]

Answer:

2100

Step-by-step explanation:

3 0
3 years ago
Zeke had 12 friends coming for his birthday party. He wanted each friend to get 1 1/3 pounds of candy. How many pounds of candy
daser333 [38]
Answer: 16 pounds

Explanation:

1 1/3 = 4/3 pounds of candy each

But he has 12 friends:

12 x 4/3 = 16 pounds of candy that he need to buy
8 0
3 years ago
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