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Lana71 [14]
3 years ago
8

What is the surface area of a sphere with a volume of 3680 cubic centimeters?

Mathematics
1 answer:
dedylja [7]3 years ago
7 0
The surface area will be 456.2 to the second power
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Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul
Ksenya-84 [330]

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4

Sample mean, \bar{x} = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4\\H_A: \mu \neq 4

We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

3 0
3 years ago
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicle
ziro4ka [17]

Answer:

The answer is "99.82% and 86.99%".

Step-by-step explanation:

In point a:

=P(X < 45)\\\\= P(Z < \frac{45-29.09}{5.46}) \\\\=P(Z < 2.9139)\\\\=0.9982\\\\=99.82\%

In point b:

=P(X >17)\\\\= P(Z > \frac{17-22.37}{4.77}) \\\\=P(Z > -1.1258)\\\\=0.8699\\\\=86.99\% \\\\

5 0
2 years ago
What is the area of the polygon? Show your work! ​
stepan [7]

Answer:

6+6=12 cm

4+4=8 cm

6+6= 12 cm

Add all together and it equals 32

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The re
Len [333]

Answer: 65 people completed graduate school.

Step-by-step explanation:

25% of 260 is 65.

6 0
3 years ago
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Answer both ASAP! please do correctly
Tresset [83]

Answer:

1. the discriminant is 4

the number of solutions 0

solutions 0

2.the discriminant is 0

i couldn't find any solutions

Step-by-step explanation:

4 0
2 years ago
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