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egoroff_w [7]
3 years ago
15

10.

Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

 

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

 

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

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The given polynomial is:

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\begin{gathered} 18cd^2=2\times3\times3\times c\times d\times d \\ 12c^2d=2\times2\times3\times c\times c\times d \\ 9cd=3\times3\times c\times d \end{gathered}

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The answer is above

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1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.
densk [106]

Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

\hat p = \frac{X}{n}

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

p_1 = \frac{10}{100}=0.1

p_2 = \frac{9}{100}=0.09

p_3 = \frac{11}{100}=0.11

p_4 = \frac{7}{100}=0.07

p_5 = \frac{3}{100}=0.03

p_6 = \frac{12}{100}=0.12

p_7 = \frac{8}{100}=0.08

p_8 = \frac{4}{100}=0.04

p_9 = \frac{6}{100}=0.06

p_{10} = \frac{11}{100}=0.11

And now witht those values we can find the sample mean of proportions with the following formula:

hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081

And we can find the standard error with the following formula:

SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863

So then the best option on this case is given by:

E) .0863

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