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➷ Angles on a straight line equal 180 degrees:
5k - 3 + 9 + k = 180
Simplify:
6k + 6 = 180
Subtract 6 from both sides:
6k = 174
Divide both sides by 6:
k = 29
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Answer:
Option b. should not be rejected
Step-by-step explanation:
We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.
We have to test whether the variance of the population is significantly more than 0.003, i.e.;
Null Hypothesis,
:
=
Alternate Hypothesis,
:
The test statistics used here for testing variance is;
T.S. =
~
where, s = sample standard deviation = 0.06
n = sample size = 26 cans
So, Test statistics =
~ 
= 30
So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.
Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.
Answer:
250
Step-by-step explanation:
150/3=50
50*2=100
150+100=250
We have been given that Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. We are asked to find the number of full pizzas that Morgan can make with the amount of cheese she has.
To solve our given problem, we will divide total amount of cheese by amount of cheese used to make each pizza.


Now we will convert our division problem into multiplication problem by flipping the 2nd fraction.



We are asked to find the number of full pizzas and we can see that Morgan can make 9 full and
pizzas.
Since there are 9 full pizzas, therefore, Morgan can make 9 full pizzas with the amount of cheese she has.
Answer:
3(x+2)(x+8)
Step-by-step explanation: