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2 years ago

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A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. find the value that is +3 standard devi

ations away from the mean. 48.0 78.9 20.1 69.9

2 answers:

lidiya [134]2 years ago

3 0

69.9 is exactly 3 standard deviations away, which means that 78.9 is +3 (more than 3) standard deviations

So the answer is 78.9

Simora [160]2 years ago

3 0

Answer:

D. 69.9

Step-by-step explanation:

We have been given that a set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. We are asked to find the value that is +3 standard deviations away from the mean.

To find the value that is 3 standard deviation away from mean, we will multiply 3 by standard deviation and ad the result to mean.

$45+(3\times 8.3)$

$45+24.9$

$69.9$

Therefore, 69.9 is 3 standard deviation away from mean of or given data set and option D is the correct choice.

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During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

$Quotient = \frac{60}{5}$

$Quotient = 12$

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

2 years ago

the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p

Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of $m$ miles:

$f(x) = 0.45m +5$

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

$f(x) = 0.45m +5$ can also be written as:

$y = 0.45m +5$

It is nothing but slope intercept form, comparing with $Y = M X+ C$

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

$0.45m + 5+5 = 0.45m+10$

Now, multiply with 1.25

Resulting function becomes:

$f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5$

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

$f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }$

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Step-by-step explanation:

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