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lions [1.4K]
3 years ago
5

A rectangular prism has a height of 4 and a half cubic inches if the length of the prism is eight and a half inches and the widt

h is 3 inches what is the volume of the prism
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0
4.5*8.5*3 = 114.75 cubic inches

mark my answer brainliest please!
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the volleyball team sold 16 items on first day of a bake sale, 28 items second day, and 12 items on the last day there were 4 it
Gelneren [198K]

Add all the item together:

16 + 28 + 12 + 4

=60 total items

5 0
3 years ago
Read 2 more answers
Simplify (18x^4 – 3x^3 – 2x^3 + x^2 – 10 + 6), showing how you got your answer would be preferable!
Crazy boy [7]

Answer:

1

8

4

−

3

3

−

2

3

+

2

−

1

0

+

6

18

x

4

−

3

x

3

−

2

x

3

+

x

2

−

10

+

6

18x4−3x3−2x3+x2−10+6

1

8

4

−

3

3

−

2

3

+

2

−

4

18

x

4

−

3

x

3

−

2

x

3

+

x

2

−

4

18x4−3x3−2x3+x2−4

2

Combine like terms

Solution

1

8

4

−

5

3

+

2

−

4

Step-by-step explanation:

7 0
3 years ago
What is the answer ? i have to match it
jek_recluse [69]

Answer:

  see below

Step-by-step explanation:

As with many multiple-choice questions, the appropriate choices can often be determined with a simple test. Here, you only need to look at the values of the constants. (Those are ringed in blue.)

4 0
3 years ago
Karen, Susan, and Meg are all in a workout program. Susan lost three less than twice as many pounds as Karen. Meg lost seven mor
KiRa [710]

Answer:

Karen will get mad because, Susan lost so much weight than her, she will call the police, rant to the manager of the program, cuss at Susan then get banned from the program and go to jail.

Step-by-step explanation:

That's what would REALLY happen, or did you want me to answer the math problem?

4 0
3 years ago
According to statistician Persi Diaconis, the probability of a penny landing heads when it is spun on its edge is only about 0.2
Arlecino [84]

Answer:

a) The p-value obtained from the one-proportion applet is more valid because a z-test statistic shouldn't have been used for the other obtained p-value. Check Explanation for more Explanation.

b) No, there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Step-by-step explanation:

The p-value for this problem was obtained from a one proportion simulation applet and another obtained using a one proportion z-test p-value.

But one of the conditions for the use of the z-test or the z-distribution in obtaining the p-value is that information on the population mean and standard deviation should be known or the sample size should be large enough such that the properties of the sample should approximate the properties of the the population distribution.

But for this question and hypothesis test, the sample that the we are working with is only of sample size 12 with no information on the population standard deviation provided, hence, the p-value obtained from the z-test statistic one proportion test is not a valid enough one due to this reason.

Plus, on calculating this p-value manually, it was obtained to be 0.078, to justify this explanation as it is very close to.the value obtained using the simulation applet.

Manual way of calculating

t = (x - μ)/σₓ

x = 5/12 = 0.41667

μ = p₀ = 0.20

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 12

σₓ = √[0.4167×0.5833/12] = 0.1423

t = (0.4167 - 0.20) ÷ 0.1423

t = 1.52

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 12 - 1 = 11

Significance level = 0.05 (This is used when no significance level is provided in the question)

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 1.52, at 0.05 significance level, df = 11, with a one tailed condition) = 0.07836

b) To know which conclusion to draw, we need to first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

And the alternative hypothesis is that there is enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Mathematically, if p is the proportion of times the spun penny will turn up heads in the long run,

The null hypothesis is represented as

H₀: p ≤ 0.20

The alternative hypothesis is represented as

Hₐ: p > 0.20

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05 (usually used when the significance level for the test isn't specified)

p-value = 0.0770

0.0770 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Hope this Helps!!!

6 0
3 years ago
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