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frozen [14]
3 years ago
12

HELP QUICKLY PLEASE...

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0
For the first one, I believe I is 1200
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otez555 [7]
Take the cube root of 216. You will get 6
5 0
3 years ago
Read 2 more answers
How many cubes with side lengths of 1/2 cm does it take to fill up the prism
ELEN [110]

24 cubes can filled up the prism

Solution:

The image of the question is attached below.

Given data:

Length of the prism = 2 cm

Breadth of the prism = 1 cm

Height of the prism = $\frac{3}{2} cm

Volume of the prism = length × breadth × height

                                   $=2\times 1\times \frac{3}{2}

                                   =3 cubic cm

Volume of the prism = 3 cubic cm

Side length of the cube = $\frac{1}{2} cm

Volume of the cube = side × side × side

                                 $=\left(\frac{1}{2}\right)^{3}

                                 $=\frac{1}{8} cubic cm

Volume of the cube =  \frac{1}{8} cm

$\text{Number of cubes} =\frac{\text{Volume of the prism}}{\text{Volume of the cube}}

                          $=\frac{3}{\frac{1}{8} }

                          =3\times8

                          =24

Number of cubes = 24

Hence 24 cubes can filled up the prism.

4 0
3 years ago
The purchasing power P of a fixed income of $20000 per year (such as a pension) after t years of 7% inflation can be modeled by
Oxana [17]

After 5 years: 107,000

After 20 years: 428,000

7 0
2 years ago
Solve for a side in right triangles. Make sure to round your answer to the nearest hundredth
DochEvi [55]

Answer:

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

<u>x = 10.99 units</u>

Step-by-step explanation:

5 0
2 years ago
The Office of Student Services at UNC would like to estimate the proportion of UNC's 34,000 students who are foreign students. I
Pachacha [2.7K]

Answer:

Mean is 3.05

Standard deviation is 1.69.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The probability of x sucesses on n repeated trials, with p probability.

In this problem, we have a sample of 50 students, so n = 50. The proportion of all UNC students that are foreign students is 0.061, so p = 0.061.

The mean is given by the following formula:

E(X) = np = 50*0.061 = 3.05

The standard deviation is given by the following formula:

\sigma = \sqrt{n*p*(1-p)} = \sqrt{50*0.061*(1-0.061))} = 1.69

6 0
3 years ago
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