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Anit [1.1K]
3 years ago
9

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with and that . a. Does this indicate conclusively that the true average percentage differs from 5.5

Mathematics
2 answers:
Musya8 [376]3 years ago
6 0

Answer:

Step-by-step explanation:

This is a test of mean where σ, the population standard deviation is known. The null hypothesis H₀ : µ =  µ₀ = 5.5; the alternative H₁ : µ ≠ µ₀. Since σ is known, z =  (x − µ₀

)/(σ/√n)   is normally distributed for all n and so,  for a two-tailed test, we reject H₀ if z ≥ z(α/2) or z ≤ −z(α/2). In this case, α = 0.05 so z(α/2) = z(.025) = 1.960.

P = 2P (Z ≥ |z|) = 2P

*(Z ≥  (x − µ₀)/(

σ/√

n))

⇒  P = 2P

*(Z ≥  (5.25 − 5.5)/(

0.32/√16))  = 2P

*(Z ≥  -3.125)  = 2*(0.9991) = 1.9982

We reject the null hypothesis that the true average is 5.5.

Ket [755]3 years ago
3 0

Answer:

since p value < x(0.05) so we reject the null hypothesis

step 5 ( conclusion)

reject the null hypothesis and there is sufficient evidence to support the claim that the true average percentage differs from 5.5.

Step-by-step explanation:

   

check the attachment for detailed explanation

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A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
Find the value of the csc 40° using your calculator. (I've been having a hard time with this, so it'd be helpful if anyone could
SCORPION-xisa [38]
<span><u><em>The correct answer is: </em></u>
C 1.556.

<u><em>Explanation:</em></u>
This can be found by locating the csc button on your calculator. Typically it is located as the second option below the sin button as it is the inverse function.
If you cannot locate the csc button on your calculator, you can also use </span>\frac{1}{sin(40)}<span> as csc is its inverse.

Also, it is helpful to note that some calculators have both a degrees and a radians mode for trigonometric functions. You will need to make sure that you are in degrees in order to use a calculator to solve this. </span>
7 0
3 years ago
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“I really feel like it’s time for me to get a credit card. I learned how important
Gennadij [26K]

The first misconception is that the balance shouldn't be paid off in full in order to boost the credit score. This is simply not true. You can pay off all of the balance and it will actually improve the score. The score reflects the ability to pay borrowed money back. A credit card is basically a micro-loan of sorts. So if George pays off the balance, he's paying back the credit card company and that tells the company (and others) that his ability to pay is good. Plus it tells about his priorities which is what the credit score indirectly indicates. Other companies will see that George can pay the money back, so they'll be more eager to lend to him.

The other misconception is that being late is fine and improving the payment habits is what brings up the score. This is murky gray area and somewhat true but also somewhat false. What happens is that if you are late then your score goes down by some amount. When you improve the payment habits, the score goes back up. Whether it goes back to the original value or larger depends on the situation. So the second claim George makes is technically true, but there's broader context to consider. It's similar to how if you shoot yourself in the foot in some videogame, and then let your foot heal up, then you're increasing health points. The first act shouldn't have needed to happen and it reflects a weird backwards thinking. If anything, it wastes time where George could have simply been improving the score (rather than decrease it only to increase it back).

The reality is that keeping up with the payments in a timely fashion is what keeps the credit score healthy. Once again, the score reflects someone's ability to pay back borrowed money. It applies to any kind of loan, which a credit card is a part of.

-----------------

In short, George is mistaken by two claims he makes

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When in reality keeping up with payments and paying off the balance will improve the credit score. There's no need to hinder oneself on purpose in the goal of improving from that contrived setback.

Side note: the credit card company wants you to carry a balance so they can charge interest on said balance. That's how they make most of their money. However, even if you go against the wishes of the credit card company, they won't ding you credit score points for paying off the balance in full.

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grin007 [14]

Answer:

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Step-by-step explanation:

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What is the solution to the equation 1/4x +2= -5/8x - 5
nalin [4]

Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2=  - 5

Subtract 2 from each side

1/4x+5/8x +2-2=  - 5-2

1/4x+5/8x =  - 7

Get a common denominator

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2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

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