1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flura [38]
2 years ago
14

Pls help asap!! this is due really soon

Mathematics
1 answer:
s2008m [1.1K]2 years ago
6 0

Answer:

EF=20

Step-by-step explanation:

EF is midsegment of the triangle so the equation is

AB/2=EF

7x-2/2=2x+8

7x-2=4x+16

7x-4x=16+2

3x=18

x=18/3

x=6

EF=2×6+8

=12+8

=20

You might be interested in
A random sample of 25 ACME employees showed the average number of vacation days taken during the year is 18.3 days with a standa
Norma-Jean [14]

Answer:

a) Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

b) df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

c) Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

Step-by-step explanation:

Data given and notation  

\bar X=18.3 represent the sample mean

s=3.72 represent the sample standard deviation

n=25 sample size  

\mu_o =15 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for vacation days is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part b: P-value  and conclusion

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

Part c

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

3 0
3 years ago
Find the equation of the line with slope m=1 that contains the point (7,5).
katovenus [111]

Answer:

y = x - 2

Step-by-step explanation:

y = mx + b

5 = 1 (7) + b

5 = 7 + b

b = -2

So...

y = x - 2

7 0
2 years ago
What makes the statement true? 7^-2=?<br> A. 49<br> B. 1/49<br> C. 14<br> D. 1/14
pogonyaev
49
{7}^{ - 2}  \\ 7 \times  - 7 =  - 49
8 0
3 years ago
(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!
Mrrafil [7]

Answer:

  • -32x² +8x -8
  • See below about the process

Step-by-step explanation:

The simplified expression is ...

  3x(x -12x) +3x² -2(x -2)²

  = 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses

  = -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses

  = (-33 +3 -2)x² +8x -8 . . . . . . . . . . group the coefficients of like terms

  = -32x² +8x -8

8 0
3 years ago
Read 2 more answers
What is the perimeter of parallelogram WXYZ
Kruka [31]
Graph? Or diagram? .................
8 0
3 years ago
Other questions:
  • Change the improper fraction to a mixed number
    8·2 answers
  • Kyle drew three line segments with lengths: 2/4 inch 2/3inch, and 2/6 inch list the fractions in order from least to greatest
    5·2 answers
  • -(8-2a)=<br><img src="https://tex.z-dn.net/?f=%20-%20%288%20-%202a%29%20%3D%20" id="TexFormula1" title=" - (8 - 2a) = " alt=" -
    10·1 answer
  • Tickets for the front section to a rock concert cost $25 each. The back section tickets sold for $15 each. If 400 tickets were s
    15·1 answer
  • 2^?=1/8 <br> What is the question mark
    8·2 answers
  • 3. Find the equation of the line parallel to taxis
    8·1 answer
  • If a ants can dig b tunnels in c hours, how many tunnels can b ants dig in a hours?
    13·1 answer
  • Which number is greater tha 9/4​
    6·1 answer
  • Tan 15°+ Cot 15° =4​
    6·2 answers
  • Please help, I really desperate
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!