MATHEMATICS COLLEGE

Can someone please go into detail on how they simplified this expression? Thanks!: 4a - (4a-3)=4a 1(4a 3) Identity property
4a -4a + 3 Distributive property
0 -3 Combine like terms.
3 simplify
I really don't get how they got plus 3
Thanks again!

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

4a - (4a-3)

= 4a -1(4a - 3)

= 4a - 4a + 3    <--- Distributing the -1 over the parenthes

= 3       <---- ( as 4a - 4a = 0)

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A university administrator was interested in determining if there was a difference in the distance students travel to get from class from their current residence(in miles). Men and women at UF were randomly selected. The Minitab output is below. What is the best interpretation for the output? Difference = mu (F) - mu (M) T-Test of difference = 0 (vs not =): T-Value = -1.05 P-Value = 0.305 DF = 21

Answers

Answer:

1) Fail to reject the Null hypothesis

2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

H_(o): \mu_(F)-\mu_(M)=0\n\n H_(a): \mu_(F)-\mu_(M)\neq 0

The results of his tests are:

t-value = -1.05

p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

  • If p-value is equal to or less than the significance level, then we reject the null hypothesis
  • If p-value is greater than the significance level, we fail to reject the null hypothesis.

No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

Conclusion:

We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Final answer:

The Minitab output from the t-test signifies that there is no statistically significant difference in the distances traveled by men and women at UF to get to class. The t-value and p-value obtained don't give enough evidence to reject the null hypothesis. The degrees of freedom (DF) indicate the number of independent observations in the sample.

Explanation:

The output from Minitab that you've shared is the result of a paired t-test comparing the mean distances traveled by men and women to get to class at UF. The null hypothesis in this context is that there is no difference in the average distances traveled by men and women (Difference = mu (F) - mu (M)). The t-value of -1.05 and the p-value of 0.305 do not provide enough evidence to reject the null hypothesis at the conventional 0.05 level of significance. Therefore, we could interpret the output as not detecting a statistically significant difference between the mean distances men and women travel to get to class at UF.

The 'DF' or degrees of freedom, indicates the number of independent observations in your sample that are free to vary once certain constraints (like the sample mean) are calculated. In this case, DF = 21, which is the sample size (pairs of men and women) minus 1.

Learn more about t-test here:

brainly.com/question/35161872

#SPJ11

Are the points B, F, and W coplanar?​

Answers

Answer:

yes

Step-by-step explanation:

Because the point lie on the plane they are coplanar

Write a function rule for the problem​

Answers

Answer:

er

Step-by-step explanation:

Answer:

What function?

Step-by-step explanation:

Can you provide me with the problem.

How do you calculate the approximate mean monthly salary of 100 graduatesmonthly salary number of graduate

1001-1400 1
1401-1800 11
1801-2200 14
2201-2600 38
2601 3000 36.

Answers

Answer:

The mean monthly salary of these 100 graduates is $2388.5

Step-by-step explanation:

First, lets make all of the salaries a set, so:

S = {S1,S2,S3,S4,S5}

where

S1 = {1001-1400}

S2 = {1401-1800}

S3 = {1801-2200}

S4 = {2201-2600}

S5 = {2601-3000}

Each element S1,S2,..,S5 will have it's own mean, that will be the upper range + lower range divided by 2.

So

M(S1) = (1400+1001)/2 = 2401/2 = 1200.5

M(S2) = (1401+1800)/2 = 3201/2 = 1600.5

M(S3) = (1801+2200)/2 = 4001/2 = 2000.5

M(S4) = (2201+2600)/2 = 4801/2 = 2400.5

M(S5) = (2601+3000)/2 = 5601/2 = 2800.5

To find the approximate mean, now we calculate a weigthed mean between M(S1),M(S2),...,M(S5)

So the mean will be

M = (M(S1)+11*M(S2)+14*M(S3)+38*M(S4)+36*M(S5))/100

M = 238850/100

M = 2388.5

So the mean monthly salary of these 100 graduates is $2388.5

Which is the graph of y = 3/4x -3?

Answers

Answer:

A

Step-by-step explanation:

rise over run....up 3 and over 4

crosses y axis as -3

3x/8=4.5/4 Solve the equation/find x

Answers

Answer:

x=3

Step-by-step explanation:
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