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kondor19780726 [428]
3 years ago
7

Find the volume of the rectangular prism. 1 ft 2 6 ft 1 3 2 ft The volume is 1​

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0

Answer:

31.5 or 31 1/2

Step-by-step explanation:

The formula for volume of a rectangular prism is lwh or length times width times height.

Multiply the numbers and you get 31.5 or 31 1/2

Hint: It is easier to multiply mixed numbers when converting them to decimals. When you are done just convert it back to a fraction if needed. :)

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Last years freshman class at big state university totaled 5,305 students of those 1258 received a merit scholarship to help offs
Leokris [45]

Using the normal distribution, it is found that 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for the amounts are given as follows:

\mu = 3456, \sigma = 478

The proportion is the <u>p-value of Z when X = 4250</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{4250 - 3456}{478}

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

Hence 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1<br> Statements<br> reasons
Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —>          5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

4 0
3 years ago
If x=5^a, find the value of 5x. How?
Yakvenalex [24]

Answer:

5x = 5^{(a+1)}

Step-by-step explanation:

Here is a problem with the concept of properties of the exponent.

We are given x = 5^{a} and we have to find the value of 5x.

Now, 5x = 5 \times 5^{a} {Since we are given that x = 5^{a}}

⇒ 5x = 5^{1} \times 5^{a} {Since we can write x = x^{1}}

⇒ 5x = 5^{(a+1)} {Since we know the formula of exponent as x^{m} \times x^{n} = x^{(m + n)}}

(Answer)

7 0
3 years ago
Which is the best first step when solving the following system of equations? x + y = 3. 4 x minus y = 7. Multiply the first equa
Kryger [21]

Answer:

Multiply the first equation by 4.

Step-by-step explanation:

4(x+y=3) which gives

4x+4y=12

and

4x-y=7

Then subtract the two equations and the x variable will be eliminated.

6 0
3 years ago
Read 2 more answers
One canned juice drink is 25​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in
Talja [164]
11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.


4 0
3 years ago
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