The Dowers need to make 5 pies for 15 people.
Step-by-step explanation:
Given,
1 person = 3 slices of pie
15 persons = 15*3 = 45 slices of pie
It is also given that;
9 slices of pie = 1 whole pie
1 slice of pie = 
45 slices of pie = 
45 slices of pie = 5 whole pies
The Dowers need to make 5 pies for 15 people.
Keywords: multiplication, division
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Answer:
D. There is not convincing evidence of a relationship between annual company profit and median annual salary paid by the company.
Step-by-step explanation:
In this hypothesis test, the null hypothesis usually states that there is no relationship between the two variables in study.
In opposite, the claim that is being tested is the speculative hypothesis: that there is a significant relationship between both variables.
The researcher takes a sample and the P-value indicates the probability of getting that sample by pure chance <em>if the null hypothesis is true</em>.
Then, a very small P-value, below the significance level, indicates that the sample is very unusual if the null hypothesis is true, what gives evidence to reject the null hypothesis.
In this case, a P-value of 0.56 indicates that the sample is not unusual if the null hypothesis is true, so it gives no support to the claim that the null hypothesis is false and that there exists a relationship between the two variables in study.
Answer:
g ≥ -4
Step-by-step explanation:
4g + 2 ≥ - 14
-2 -2 Subtract 2 from both sides
4g ≥ -16
g ≥ -4 Divide both sides by 4
Answer:
16x^2 -8x +1
Step-by-step explanation:
The square of a binomial expands as ...
(a +b)^2 = a^2 +2ab +b^2
So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.
This pattern matches ...
16x^2 -8x +1 = (4x -1)^2
Answer:
k = -7
Step-by-step explanation:
Solve for k:
-7 k - 44 = k + 12
Subtract k from both sides:
(-7 k - k) - 44 = (k - k) + 12
-7 k - k = -8 k:
-8 k - 44 = (k - k) + 12
k - k = 0:
-8 k - 44 = 12
Add 44 to both sides:
(44 - 44) - 8 k = 44 + 12
44 - 44 = 0:
-8 k = 12 + 44
12 + 44 = 56:
-8 k = 56
Divide both sides of -8 k = 56 by -8:
(-8 k)/(-8) = 56/(-8)
(-8)/(-8) = 1:
k = 56/(-8)
The gcd of 56 and -8 is 8, so 56/(-8) = (8×7)/(8 (-1)) = 8/8×7/(-1) = 7/(-1):
k = 7/(-1)
Multiply numerator and denominator of 7/(-1) by -1:
Answer: k = -7
