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3 years ago

The volume of a cylinder is 75 cubic inches. What is the radius of the base of the cylinder?

Mathematics

1 answer:

Papessa [141]3 years ago

6 0

Answer:

the radius of the base of the cylinder is 5 cubic inches

Step-by-step explanation:

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Please answer this question based on the following data. SSTR = 6,750 H0: μ1= μ2=μ3=μ4 SSE = 8,000 Ha: at least one mean is diff

Nookie1986 [14]

Answer:

$P_v =P(F_{3,16}>4.5)=0.0180$

So on this case the best option for the answer would be:

between .01 and .025

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $4$ groups and on each group from $j=1,\dots,5$ we have $5$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =6750$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000$

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1=4-1=3$ where k =4 represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-K=20-4=16$ .

And the total degrees of freedom would be $df=N-1=20 -1 =19$

We can find the $MSR=\frac{6750}{3}=2250$

And $MSE=\frac{8000}{16}=500$

And the we can find the F statistic $F=\frac{MSR}{MSE}=\frac{2250}{500}=4.5$

And with that we can find the p value. On this case the correct answer would be 3 for the numerator and 16 for the denominator.

$P_v =P(F_{3,16}>4.5)=0.0180$

So on this case the best option for the answer would be:

between .01 and .025

6 0

4 years ago

The perimeter of a rectangle is 38 units. The length is 13 units longer than the width. What are the dimensions of the rectangle

s2008m [1.1K]

Answer:

Step-by-step explanation:

P = 2(l +w)

Let width be x

Length = x + 13

P = 38

38 = 2(x + 13 + x)

38 = 2(2x + 13)

38 = 2x + 26

2x = 38 - 26

2x = 12

x = 12/2

x = 6unit

Width = 6units

Length = x + 13 = 6+13 = 19units

6 0

3 years ago

Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

Colt1911 [192]

Answer: DNE

Step-by-step explanation:

8 0

3 years ago

What to the power of 4 equals 256

adelina 88 [10]

The answer to that problem is 4. 4*4*4*4=(4*4)*(4*4)=16*16=256. I hope this helped!

4 0

3 years ago

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Please helpppp! I need it.<br> Fast please :(

jeka57 [31]

Answer:

1)250

2)3456

3)11664

Step-by-step explanation:

The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.

Hope it helped you if yes so please make me the brainist

3 0

3 years ago

Read 2 more answers