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arsen [322]
3 years ago
7

?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

9514 1404 393

Answer:

  3π units

Step-by-step explanation:

The full circumference of a circle with radius 2 is ...

  C = 2πr

  C = 2π(2) = 4π

The arc shown is 3/4 of the full circle circumference so is ...

  3/4C = (3/4)(4π) = 3π . . . units

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i would say it's probably c

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3 years ago
A silo is formed by a cylinder with a hemisphere at the top. If the height of the silo is 10 m and the radius is 3 m, what is th
IrinaVladis [17]
V=282.74m³

Radius= 3m
Height= 10m

5 0
2 years ago
Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in one year
timurjin [86]

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).  

\$500\times4\%=\$20

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

6 0
3 years ago
A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of
GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.989.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0
3 years ago
Find the square root of 784 using prime factorization.
WINSTONCH [101]

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

7 0
3 years ago
Read 2 more answers
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