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:
An irrational number is a number that cannot be written as a fraction. It is a non-repeating, non-terminating decimal. Approximate square root of numbers that are not perfect squares and put them on the number line.
Answer:
Emily can deduct $1975 for medical expenses.
Step-by-step explanation:
Emily is itemizing deductions on her federal income tax return and had $5200. Her AGI was $43,000.
We have:
The AGI is =$43,000
Medical expenses amount = $5200
If medical expenses are deductible to the extent that they exceed 7.5% or 0.075 of a taxpayer’s AGI, means = 43,000 * 0.075 = $3225
Now the deductible amount is = $5200 - $3225 = $ 1975
<em>Hence,Emily can deduct $1975 for medical expenses.</em>
Answer:
x = - 8
Step-by-step explanation:
4x - 9 + 3x = 8x - 1
7x - 9 = 8x - 1
7x - 8x - 9 = 8x - 8x - 1
- x - 9 = - 1
- x - 9 + 9 = - 1 + 9
- x = 8
- x ÷ - 1 = 8 ÷ - 1
x = - 8
• measure of the side: s = 3 in
You can find the height h by this formula:
s · √3
h = ————
2
3 · √3
h = ————
2
3√3
h = ———— in (exact value)
2
Using √3 ≈ 1.73,
3 · 1.73
h ≈ —————
2
5.19
h ≈ ————
2
h ≈ 2.60 in (approximate value)
I hope this helps. =)
