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3 years ago

(inches)

Mathematics

1 answer:

lubasha [3.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

If someone is 54 inches tall, what size shoe might they wear?

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Find the measure of angle b. 40° A) 140° C) 40° B) 50° D) 136°

spayn [35]

Now,

b + 40° = 90° ( right angle )

or, b = 90° - 40°

◆ b = 50°

B) 50°

This is Right answer...

I hope it's help you...

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3 0

3 years ago

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

3 years ago

Simplify: -2/5 + 4/3

hoa [83]

Answer:

14/15

Step-by-step explanation:

1. Convert the fractions to have the same denominator

Remember that you can only add fractions with the same denominator

To find the common denominator, find the LCM of 5 and 3 which is 15.

-2/5 * 3/3 = -6/15 and 4/3 * 5/5 = 20/15

-6/15 + 20/15 = 14/15

hope this helps! <3

7 0

2 years ago

Read 2 more answers

A three‐digit number satisfies the following conditions: The digits are consecutive whole numbers in increasing order; the sum o

IRINA_888 [86]

Answer: 123
They have to add up to 3 4 5 6 or 7 so it has to be that

4 0

3 years ago

I need help on completing this

Allushta [10]

I don’t know I need points

7 0

3 years ago