Answer:
110 utensils
Step-by-step explanation:
Set up equal fractions, and cross-multiply.
Solve for spoons.
22x = 44*33
22x = 1452
x = 1452/22 = 66 spoons
Now add forks and spoons to get total utensils:
<u>44 forks + 66 spoons = 110 utensils</u>
First subtract 7 from 31. Then divide that number by 6. You should get 4 as your answer
Answer:
There is not sufficient evidence to support the claim μ > 54.4.
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is and the system of hypothesi on this case are:
Null Hypothesis:
Alternative hypothesis:
On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:
There is not sufficient evidence to support the claim μ > 54.4.
Answer:
32 + 4(h) = 60
Step-by-step explanation:
The 32 in the equation represents the $32 Ali already has. The 4 represents how much she makes per hour. And the h represents how many hours Ali needs to reach her goal of 60. Now all you need to do is find h. h should equal 7. 32 + 4(7) = 60.
To solve an absolute inequality first step is to isolate absolute value expression.
Hence remove -4 from the left side. So, add 4 to each sides of the inequality.
2|x + 7|−4 ≥ 0
2|x + 7|−4 +4≥ 0 +4
2|x + 7| ≥ 4 Combine the like terms.
Divide each sides by 2.
|x + 7| ≥2
Next step is to remove the absolute value sign. So,
x + 7≥2 and x+7≤-2.
x≥2-7 and x≤-2-7
x≥-5 and x≤-9
So, the correct choice is C. {x | x ≤ -9 or x ≥ -5}.