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solmaris [256]
3 years ago
12

What is the volume of a right circular cylinder in terms of Pi if its height measure 6 inches and the radius of its base is 2 in

ches
Mathematics
1 answer:
docker41 [41]3 years ago
5 0
V=hpir^2
r=2
h=6

v=6pi2^2
v=6pi4
v=24pi in³
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What do both ways of writing as tens and ones describe the same number
Vesnalui [34]
11 is the answer
22
33
6 0
2 years ago
An article reported on the results of an experiment in which half of the individuals in a group of 60 postmenopausal overweight
slavikrds [6]

Answer:

Step-by-step explanation:

From the given information:

Let's first compute the null and alternative hypothesis

Null hypothesis:

\mathbf{H_o: \mu_1-\mu_2=1}

Alternative hypothesis:

H_a :\mu_1 -\mu_2 > 1

The number of samples is half in a group of 60

i.e

n_1=n_2 = 30

the sample mean for sample 1 \overline x_1 = 5.7

the standard deviation for sample 1 s_1 = 3.1

the sample mean for sample 2 \overline x_2 = 3.9

the standard  deviation for sample 2 s_2 = 2.7

degree of freedom  for this test can be computed by using the formula:

df = \dfrac{\begin {pmatrix} \dfrac{s_1^2}{n_1} + \dfrac{s^2_2}{n_2}   \end {pmatrix}^2  }  {\dfrac{ (\dfrac{s_1^2}{n_1}^2)}{ n_1-1}  + \dfrac{ (\dfrac{s_2^2}{n_2}^2)}{ n_2-1}  }

df = \dfrac{\begin {pmatrix} \dfrac{3.1^2}{30} + \dfrac{2.7^2}{30}   \end {pmatrix}^2  }  {\dfrac{ \begin {pmatrix} \dfrac{3.1^2}{30} \end {pmatrix}^2}{ 30-1}  + \dfrac{ \begin {pmatrix} \dfrac{2.7^2}{30} \end {pmatrix}^2}{ 30-1}  }}

df = 114.68

The test statistics can be computed as follows:

t = \dfrac{ \overline x_1 -\overline x_2- (\mu_1 -\mu_2)}{\sqrt{ \dfrac{s_1^2}{n_1} +\dfrac{s_2^2}{n_2} }}

t = \dfrac{ 5.7-3.9- (1)}{\sqrt{ \dfrac{3.1^2}{30} +\dfrac{2.7^2}{30} }}

t = 1.07

Using the level of significance of 0.1, the P-value for the test statistics at the df of 114.68 is:

P-value = 0.143

Decision rule: To reject the null hypothesis if the level of significance is greater than the p-value.

Conclusion: We fail to reject the null hypothesis because the p-value is greater than the level of significance at 0.1.

Thus, it appears that the true average weight loss for the vegan diet does not exceeds that for the control diet by more than 1 kg.

8 0
3 years ago
Which of these is equivalent to 8: 5<br><br>3:4<br><br>3:7<br><br>4:2<br><br>4:3<br><br>Pls help
kati45 [8]

Answer:

I'm not 100% if its right but I think its 4:2.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Two number cubes are rolled for two separate events: 
MatroZZZ [7]

Let us first make the sample space for the event A. The Sample Space will be:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4)

(6,1) (6,2) (6,3)

As can be clearly seen the Sample Space for the event A has 30 elements in it.

Now, it is given in the question that the event A has already occurred and we need to find the probability of the event B occurring <u><em>given that the event A has already occurred.</em></u>

Now, as we can see, from the sample space, only 11 events out of the 30 are the events of interest to us. This is shown in bold below:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4)

(6,1) (6,2) (6,3)

Thus, the probability that the event B occurs given that the event A has already occurred is:

P(B|A)=\frac{11}{30}\approx0.367

In percentage the required probability is 36.7% approximately.

3 0
3 years ago
Pls help me do absolute VALUE EQUATION<br><br> 3/4I8t-12I=6(t-1)
mrs_skeptik [129]
There is no solution
Distributive property
3/4 x 8t - 12 x 3/4=6 x t - 1 x 6
6t - 9=6t - 6
The 6t being on both sides makes the answer. No solution.
4 0
3 years ago
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