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arsen [322]
3 years ago
12

What is the value of x?enter your answer in the boxX__​

Mathematics
1 answer:
vfiekz [6]3 years ago
6 0
<h3>Answer: x = 5</h3>

=====================

Work Shown:

Angle Bisector Theorem

9/(2x-1) = 15/3x

9*3x = 15(2x-1) ... cross multiply

27x = 30x-15

27-30x = 30x-15-30x ... subtract 30x from both sides

-3x = -15

-3x/(-3) = -15/(-3) .... divide both sides by -3

x = 5

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Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Tanzania [10]

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

4 0
3 years ago
In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age
lora16 [44]
"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"

Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68


7 0
3 years ago
Give an approximate value to the tenth of the angle IJK. Thanks so much!! need answer asap!! assignment due in 5 mins pls help!!
meriva

Answ, i just need 5 pts thanks!

Step-by-step explanation:

4 0
3 years ago
What is the midpoint of the line segment with the endpoints J(-9,-4) and K(7,8)?
12345 [234]

Answer:

Step-by-step explanation:

22

7 0
3 years ago
What is the least common multiple of 3, 4, 9, and 12
Sati [7]

Answer:

36

Step-by-step explanation:

3 x 12 = 36

4 x 9 = 36

7 0
3 years ago
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