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il63 [147K]
3 years ago
6

Amanda increased the amount of protein she eats everyday from 48g to 54g . by what percentage did Amanda increase the amount she

eats
A. 12.5%
B.6%
C.112.5%
D. Not here
Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0
The answer should be A
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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
What is the slope of a line parallel to the line whose equation is 4x-y=-4
HACTEHA [7]

Answer:

-y= -4x -4

y= 4x +4

slope is 4

Step-by-step explanation:

8 0
2 years ago
A bar graphs shows that sports books received 9 votes. If the scale is 0 to 20 by twos , where should the bar end for the sports
olya-2409 [2.1K]
A little past the 8.
7 0
3 years ago
N/8= 25/40<br> N/20=85/100<br> 2/3=16/n<br> 5/6=25/n
4vir4ik [10]
N/8 = 25/40
40n = 25 * 8
40n = 200
n = 200/40
n = 5

n/20 = 85/100
100n = 85 * 20
100n = 1700
n = 1700/100
n = 17

2/3 = 16/n
2n = 16 * 3
2n = 48
n = 48/2
n = 24

5/6 = 25/n
5n = 25 * 6
5n = 150
n = 150/5
n = 30
3 0
4 years ago
Ted runs a coffee-distributing company with monthly fixed costs of $3600. He also spends $1.50 for each 16 ounce bag of coffee t
WARRIOR [948]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
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