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2 years ago

Pls answer this question!!!

Mathematics

2 answers:

Roman55 [17]2 years ago

7 0

17.429 (rounded)

17.42857142857143 (not rounded)

fgiga [73]2 years ago

6 0

Answer:

Step-by-step explanation:

Mean = Sum of all data/Number of data = (12+16+0+8+31+28+17)/7 = 112/7 = 16

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A runner covers 55 yards in 5.5 seconds. Find the runner's average speed in miles per hour.

marusya05 [52]

$V=\frac{s}{t},where\ V-speed,\ s-distence\ ,t-time\\\\V=\frac{55y}{5,5s}=10\frac{y}{s}=10\frac{0,000568m}{\frac{1}{3600}h}=\frac{0,00568m}{\frac{1}{3600}h}=0,00568\cdot3600\frac{m}{h}=\\\\=20,448\frac{m}{h}$

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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

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2 years ago

for every left-handed person, there are about 4 right-handed people. if there are 30 students in a class, perdict the number of

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So in every 5 people, theres 1 left and 4 right.

so therefore there is 25 right handed people and 5 left handed people

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2 years ago

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Marysya12 [62]

Answer:

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g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.

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3 years ago

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