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Stels [109]
2 years ago
12

Write 7% as a fraction or mixed number in simplest from

Mathematics
1 answer:
adell [148]2 years ago
8 0

Answer: Percent" or "%" means "out of 100" or "per 100", Therefore 7% can be written as 7100 . Because 7 is a prime number and cannot be factored this is the simplest form.

Step-by-step explanation:

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shtirl [24]

Answer: D

Step-by-step explanation:

A seems complicated and doesn’t make an sense while D is simple

3 0
2 years ago
Two in-line skaters, Nell and Kristin, start from the same point and skate in the same direction. Nell skates at 16 miles per ho
Paha777 [63]
First, we count how far reached the Nell:
3,5 * 16 = 56 miles

Secondly, we count how far reached the Kristin:
3,5 * 18 = 63 miles

Now we expect the difference in the distance between them:
63 - 56 = 7 miles

The results that Kristin about seven miles driven more than Nell.
8 0
2 years ago
I will mark brainliest and 20 pts
vekshin1

I believe the Surface Area is 37 inches^2 and the Volume is 15 inches^2

6 0
2 years ago
A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st
ss7ja [257]

Answer:

Step-by-step explanation:

Hello!

The researcher wants to test if the valve plates manufactured have the expected tensile strength of 5 lbs/mm. So he took a sample of 42 valve plates and measured their tensile strength, obtaining a sample mean of X[bar]= 5.0611 lbs/mm and a sample standard deviation of S=0.2803 lbs/mm.

The study variable is:

X: tensile strength of a valve plate (lbs/mm)

The parameter of interest is the mean tensile strength of the valve plates, μ.

If the claim is that the valve plates of the sample have on average tensile strength of 5 lbs/mm, symbolically: μ = 5

a) The statistic hypotheses are:

H₀: μ = 5

H₁: μ ≠ 5

b) To determine the critical values and rejection region of a hypothesis test you need three to determine three factors of the hypothesis test:

1) The statistical hypothesis.

2) The significance level.

3) The statistic to use for the analysis.

The statistic hypothesis determines the number of critical values and the direction of the rejection region, in this case, the test is two-tailed you will have two critical values and the rejection region will be divided into two.

With the statistic, you will determine the distribution under which you will work and the significance level determines the probability of rejecting the null hypothesis.

To study the population mean you need that the variable of interest has at least a normal distribution, there is no information about the distribution of the study variable but the sample size is large enough n≥30, so you can apply the central limit theorem to approximate the distribution of the sample mean to normal: X[bar]≈N(μ;σ²/n)

Thanks to this approximation it is valid to use an approximation of the standard normal distribution for the test:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } }≈N(0;1)

The critical values are:

Z_{\alpha /2}= Z_{0.05}= -1.648

Z_{1-\alpha /2}= Z_{0.95}= 1.648

You will reject the null hypothesis if Z_{H_0}≤-1.648 or if Z_{H_0}≥1.648

You will not reject the null hypothesis if -1.648<Z_{H_0}<1.648

c)

Z_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } }=  \frac{5.0611-5}{\frac{0.2803}{\sqrt{42} } }= 1.41

d) The value of the statistic is between the two critical values so the decision is to not reject the null hypothesis. Then using a significance level of 10% there is no significant evidence to reject the null hypothesis so the valve plates have on average tensile strength of 5 lbs/mm.

e) The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis). If the test is two-tailed, so is the p-value, you can calculate it as:

P(Z≤-1.41) + P(Z≥1.41)= P(Z≤-1.41) + (1 - P(Z≤1.41))= 0.079 + ( 1 - 0.921)= 0.158

p-value: 0.158

I hope it helps!

5 0
3 years ago
Out of 20 cookies, 3/4 are chocolate chip. How many cookies are chocolate chip?
DedPeter [7]

Answer:

<u><em>15 cookies are chocolate</em></u>

Step-by-step explanation:

Well it's actually quite easy, just think about it this way. 20/4=5 since there's a 4 as the denominator in the fraction.  Or there's many other ways to find the answer. At the end of the day, you'll get the same answer just some ways are harder especially compared to the one I did.

Since we divided 4 into 20, we know the answer to that is 5.

3/4=15 if you think about it in a certain way.

Therefore the answer is 15 since 3x5= 3/4  and both of those equal 15

<u><em>Hope this helps</em></u>

3 0
3 years ago
Read 2 more answers
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