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valkas [14]
2 years ago
12

What is the volume of this object? __u3

Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

Answer:

15u³

Step-by-step explanation:

To find volume ↓

Volume

= length × width × height

= 2u × 2½u × 3u

= 15u³

Hope this helps =)

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Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard
Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : \mu=\text{38.7 miles }

Standard deviation : \sigma=\text{6.7 miles }

Sample size : n=60

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

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

For x=32.5

\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93

For x=40.5

\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27

The p-value = P(-0.93

=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302

Hence, the required probability :-0.4302

3 0
3 years ago
Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
Match each graph to its equation.
sertanlavr [38]

Answer:

1- A

2- C

3- B

4- D

Step-by-step explanation:

5 0
3 years ago
What percent of $150 is $87
vesna_86 [32]
87/150=0.58
0.58*100=58

$87 is 58% of $150

Good luck!
8 0
3 years ago
Read 2 more answers
18. What is the least common denominator of the following<br> fractions? 3/10 and 1/4
Len [333]

Answer:

20

The denominators of 3 /10  and  1 /4  are 10  and  4.

The factors of  10  are  2 × 5  and  2 × 2

Therfore the LCD should have two 2's and one 5.

This means the answer is:

2 × 2 × 5 = <u>20</u>

I hope this helps :)

7 0
3 years ago
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