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3 years ago

3. Find the volume of the cylinder

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Diameter=16mm, so the radius is 8. The formula for volume of a cylinder is the area of the base times height, or v=πr²h.
Substituting the values in, we get π(8²)(5.7), which gives us roughly 1146mm^3.

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One number is seven more than a second number. Twice the first is 2 less than 3 times the second. Find the numbers.

Keith_Richards [23]

Step-by-step explanation:

Linear equations. Make 2 new equations from the question. Name the first number as x and the second as y...

4 0

3 years ago

A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00

Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± $z\frac{s}{\sqrt{n} }$

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± $1.96.\frac{6000}{\sqrt{12} }$

54,000 ± $1.96\frac{6000}{3.464}$

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0

2 years ago

21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.

DaniilM [7]

Answer:

Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32

Step-by-step explanation:

1(tomio) x 11 = 11 (alvin) (add 21 to these)

22+32=54

hope that makes sense

6 0

2 years ago

How much space is inside the steps?

dexar [7]

.015 + .06= .075

not sure if this is correct i did my best

5 0

2 years ago

Read 2 more answers

In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til

oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

6 0

3 years ago