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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 14 21

Mathematics

2 answers:

Feliz [49]3 years ago

8 0

15.7

Step-by-step explanation:

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$a {}^{2} + {b}^{2} = {c}^{2}$

${a }^{2} + {(14)}^{2} = {(21)}^{2}$

${a}^{2} + 196 = 441 \\ {a}^{2} = 245 \\ \\ a = 15.65$

Shkiper50 [21]3 years ago

4 0

The answer in decimal format is 15.7
Or 7 radical 5

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What is 39/2 simplified

dsp73

Answer: 19.5 is the answer

Step-by-step explanation: 39 divided by 2 is 19.5

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3 years ago

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Given a cylinder with a radius of 5cm and a height of 8 cm, find the volume of the cylinder. Use 3.14 for T.

Radda [10]

Answer: V=628cm³

Step-by-step explanation:

V=(3.14)r²h

V=(3.14)(5²)(8)

V=628cm²

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3 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

Please please help if you can it would mean a lot. Thank you!!

zheka24 [161]

11. 6:18 = 1:3
12. 12:48 = 1:4
13. 17:34 = 1:2
14. 8:64 = 1:8

15. 44:4 = 11:1
16. 121:11 = 11:1
17. 12:2 = 6:1
18. 4:2 = 2:1

19. 3:4 and 2:3 = 9:12 and 8:12
20. 1:6 and 3:14 = 7:42 and 9:42
21. 2:7 and 3:5 = 10:35 and 21:35
22. 5:2 and 3:1 = 5:2 and 6:2

Comparing Ratios:

1. 1.7 m = 170 cm
20:170 = 2:17

2. 160:8 = 20:1

3. 15:50 = 3:10

4. For every cup of milk she needs 5 cups of flour, so if she uses 3 cups of milk she'd need 15 cups of flour

Hopefully that helps :)

3 0

3 years ago

Find the missing value in the proportion 12/34 = 18/m.

qaws [65]

Both the top and bottom numbers would have the same scale (ratio) in order to be a proportion.

Find the scale of the top numbers:

18/12 = 1.5

The top numbers have a scale of 1.5 so the bottom numbers also have a scale of 1.5

Multiply the known bottom number by the scale:

M = 34 x 1.5 = 51

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3 years ago

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