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ki77a [65]
3 years ago
15

Complete the statement: If 8 = m/4 then m - 12 = ?. Explain.

Mathematics
1 answer:
andre [41]3 years ago
8 0
Solve for m:
8 = m/4

8 = m/4 is equivalent to m/4 = 8:
m/4 = 8

Multiply both sides of m/4 = 8 by 4:
(4 m)/4 = 4×8

(4 m)/4 = 4/4×m = m:
m = 4×8

4×8 = 32:
Answer:  m = 32 thus m - 12 = 32 -12 = 20
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A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa
diamong [38]

Answer:

p_v= 0.01

Since the significance level is 0.05 we see that pv so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

Step-by-step explanation:

Previous concepts

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"  

Solution to the problem

The hypothesis for this case are:

Null hypothesis: \mu_{A}=\mu_{B}=\mu_{C}= \mu_D

Alternative hypothesis: Not all the means are equal \mu_{i}\neq \mu_{j}, i,j=A,B,C,D

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have p=4 groups and on each group from j=1,\dots,p we have n_j 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}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

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

And we have this property  

SST=SS_{between}+SS_{within}  

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

p_v= 0.01

Since the significance level is 0.05 we see that pv so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0
3 years ago
What’s the answer too this problem I can’t solve?
emmasim [6.3K]
I'm using PEDMAS.

Multiplication first.

2 • 4 = 8

Subtraction.

20 - 4 = 16

16 + 8 = 24

Please let me know if you spot any errors (especially the fraction operation)
4 0
3 years ago
6(-2-3x)+8=68 Find x
yawa3891 [41]
6(-2-3x)+8=68 \\ 6(-2-3x)=60 \\ -12-18x=60 \\ -18x=72 \\ 18x=-72 \\ x= \frac{-72}{18} \\ \\  \boxed{x=-4}
3 0
3 years ago
Read 2 more answers
Which of the following fractions equal to 1/4
shutvik [7]

Answer:

D

Step-by-step explanation:

A  no   = 1/5

B no   = 4

C  no   = 1/3

D   yes

E     no = 17/50

4 0
2 years ago
Read 2 more answers
2 Points
lidiya [134]

"An angle that forms a linear pair with one of the interior angle the triangle" is the best definition of an exterior angle of a triangle.

<u>Option: C</u>

<u>Explanation:</u>

When to the sum of the inward angles opposite outer angle of a triangle the sum of the inward angles opposite is equivalent thus understood as exterior angle of a triangle.

The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.

In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:

                     120 + 120 + 120 = 360°.

4 0
3 years ago
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