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3 years ago

cylinder has a height of 7 feet. Its volume is 1,406.72 cubic feet. What is the radius of the cylinder?

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

8 feet.

Step-by-step explanation:

The formula for volume of a cylinder is $r^{2} \pi h$ (using 3.14 for $\pi$ ). So it would be $r^{2}$ times 7 times 3.14 which equals $r^{2}$ times 21.98. 1406.72 divided by 21.98 is 64. The square root of 64 is 8. The radius is 8.

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Lenicia is a waitress and just received $12.45 for a tip for a meal that cost $56.75. Is the percentage of her tip above or belo

Goryan [66]

First, we have to know how much percentage the tip is from the meal cost. So,

($12.45 ÷ $56.75 ) * 100 = 21.94%

Thus, it is above the standard 15%. It is a good day for Lenicia! Keep it coming :)

7 0

3 years ago

On a measure of artistic abilities the mean for college students in New Zealand is 150 and a standard deviation is 25 give the Z

Digiron [165]

The method for computing a z-score is $\bold{z = \frac{(x-\mu)}{\sigma}}$ , where x is the crude score, $\bold{\mu}$ is the mean population, and $\bold{\sigma}$ seems to be the <em><u>standard population difference.</u></em>

The Z value of x is a number $\bold{\frac{(x - \text{mean(series))}}{\text{SD(series)}}}$ are defined where SD is the standard deviation.
Here, we consider series as scores of students of colleges in New Zealand for their artistic abilities.

$\bold{\bar{x}=150}\\\\ \bold{\sigma=25}$

following are the calculation of the Z scores:

$\to \ (a)\ 100:\ \text{Z score}=\frac{(100-150)}{25}= \frac{(-50)}{25} = -2\\\\\to \ (b)\ 120:\ \text{Z score}=\frac{(120-150)}{25}= \frac{(-30)}{25} = -1.2\\\\\to \ (c)\ 140:\ \text{Z score}=\frac{(140-150)}{25}= \frac{(-10)}{25} = -0.4\\\\\to \ (a)\ 160:\ \text{Z score}=\frac{(160-150)}{25}= \frac{(10)}{25} = 0.4\\\\$

Using formula:

$\to \text{Raw score = Mean(series) +Z score} \times \text{SD(series)}$

Calculating the Raw scores:

$\text{(e) -1: Raw score= 150 +(-1)} \times 25 = 125 \\\\\text{(f) -0.8: Raw score= 150 +(-0.8)} \times 25 = 130\\\\\text{(e) -0.2: Raw score= 150 +(-0.2)} \times 25 = 145\\\\\text{(e) 1.38: Raw score= 150 +(1.38)} \times 25 = 184.5\\\\$

Learn more:

brainly.com/question/12865701

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3 years ago

What Should i write down basically i just need the answers and let me copy and paste

Anastaziya [24]

Answer:

✔️Ratio of weight to mass in simplest form: 49/5 or 49 : 5

✔️x = 110

Step-by-step explanation:

Since the ratio of weight to mass is constant, therefore we can use any pair of values from the table to find the ratio that represents the table. Let's pick the first row:

(20, 196)

Ratio of weight to mass = 196 : 20

= 196/20

= 49/5

Or 49 : 5

✔️Let's use this ratio/proportion to find x in the table

Ratio of weight to mass = 49:5

Thus:

1078/x = 49/5

Cross multiply

x*49 = 1078*5

49x = 5,390

x = 5,390/49

x = 110

5 0

3 years ago

If you answer both in 5 min brainliest.

zavuch27 [327]

Answer:

question #3

she 15 vegetables in her garden

question #4

a : 500$

b : 16

Step-by-step explanation:

question #3

$\frac{2}{5}$ = 6, $\frac{1}{5}$ =3. 5 * 3 = 15

question #4

31.25 * 16 = 500

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3 years ago

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Vikentia [17]

The 3rd option Observation

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3 years ago