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balu736 [363]
3 years ago
5

What is the order from least to greatest for these numbers 11/17, 1 3/5, 0.3, 1.6, 19/10

Mathematics
1 answer:
siniylev [52]3 years ago
3 0
0.3, 11/17, 1 3/5, 1.6, 19/10
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Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a
Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.064

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21

In which s is the standard deviation of the sample and n is the size of the sample.

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The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0
3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
Which equation shows the correct use of the Power of Products Property?
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The power of products property states that for number enclosed in a bracket or parenthesis, if it is raised to a power, it must be multiplied to the power of the enclosed number no matter how different the base is. You cannot add it because it is not raised. You can only add it if they have the same base. But in this problem, you will just multiply it. The breakdown of the solution to this problem is shown below. So,
<span><span>• (2x⁵y²)³=(21x3x5*3y2*3) = 6x15y6</span><span>

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Which line has a y-intercept of –2?<br> A ℓ<br> C t<br> B p<br> D both ℓ and t
Troyanec [42]

I can't answer this question without a picture of the lines.

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3 years ago
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Alecsey [184]

Answer:

2. 112

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Step-by-step explanation:

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