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3 years ago

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A rectangular solid of dimensions 4-inches x 8-inches x 4-inches is made as a casting and takes 10 minutes to totally solidify.

the volume of this casting is:

1 answer:

jok3333 [9.3K]3 years ago

5 0

The answer is 128 inches for sure have a great day mark me as brainiest

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PLEASE HELP<br><br> A.12.5<br> B.15.7<br> C.16<br> D.16.5

Mashutka [201]

60.7 because you add all the sides together

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3 years ago

A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h

garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

A value X is significantly high is:

$X > E(X) + 2\sqrt{V(X)}$

In this problem:

$p = 0.149, n = 5000$

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

$E(X) = np = 5000*0.149 = 745$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18$

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

$E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36$

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0

3 years ago

X^2+y^2-11-10x=0 is the equation of a circle, which is the equation in standard form?

Ymorist [56]

Answer:

3) (x-5)^2+y^2=36

Step-by-step explanation:

3 0

3 years ago

Students sometimes suspect that studying more isn't worth it for "harder" math and science classes: either you understand it, or

Zolol [24]

ANSWER: The statistical procedure that should be performed is REGRESSION.

Step-by-step explanation: Regression is a statistical procedure that is used to estimate the relationship between an independent variable and a dependent variable using their mean values.

The independent variable in this case is the hours each student spend in studying, while the dependent variable is the students grade.

Since the researcher wants to determine if the hours a student spend in studying maths and science has any significant effect on their grades. The researcher should use regression, because it will show if the two variables are related and how it relates, by showing how far the points are from the trend lines of the graph.

6 0

4 years ago

Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.

Aleksandr-060686 [28]

Answer:

$\huge \colorbox{red}{(x,y)=(-1,-3)}$

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

$\begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}$

combine the equations:

$\underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48$

divide both sides by -48:

$\displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3$

substitute the value of y to the second equation

$\displaystyle \: 4x - 4. - 3 = 8$

simplify multiplication:

$\displaystyle \: 4x + 12 = 8$

cancel 12 from both sides:

$\displaystyle \: 4x = - 4$

divide both sides by 4

$\displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1$

therefore our solution is

$\displaystyle (x,y)=(-1,-3)$

4 0

3 years ago

Read 2 more answers