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GrogVix [38]
3 years ago
14

Find the volume of the sphere. Give the answer in terms of 3.14 and rounded to the nearest cubic foot

Mathematics
1 answer:
kkurt [141]3 years ago
6 0
Sphere
Solve for volume
V=4
3πr3
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Based on the data in the table, how many members would
bezimeni [28]

Answer:

90

Step-by-step explanation:

It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.

5 0
3 years ago
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
guajiro [1.7K]

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

4 0
3 years ago
A cliff diver jumps from a cliff that is 96 feet above the water. His jump can be modeled by a quadratic equation, h= -16t(expon
ladessa [460]

Answer:

The diver will take 2.449 seconds to enter the water.

Step-by-step explanation:

We have been given that quadratic equation for the diver jumps is

h=-16t^2+96

We have to find the time taken for the diver to enter the water. When the diver enters the water, the height becomes zero.

0=-16t^2+96\\\\16t^2=96\\\\t^2=6\\\\t=\sqrt6\\\\t=2.449\text{ seconds}

Therefore, the diver will take 2.449 seconds to enter the water.

4 0
3 years ago
What is 6.877 to the nearest whole number?
Anni [7]
To the nearest whole number would be 7
4 0
3 years ago
Read 2 more answers
What is the slope of a line whose graph contains the points (−2,−6)<br><br> and (0,0)<br><br>?
torisob [31]

Answer:

It’s D

Step-by-step explanation:

4 0
3 years ago
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