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3 years ago

13

On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was h

is rate on Saturday?

1 answer:

cricket20 [7]3 years ago

5 0

11 miles per hour

60/4

=15-4 = 11

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

Which table of ordered pairs represents a proportional relationship?

dedylja [7]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.

Step-by-step explanation:

Examining the response options:

A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.

No, as y = 25 not 20 and x = 5 .

A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.

No, y =64 not 48 and x= 4.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.

No, y= 25+3*45= 160 not 90 and x = 3.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.

Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.

5 0

3 years ago

Read 2 more answers

A set of quiz scores is shown in the histogram below. The mean of the data set is 20.2, and the (population) standard deviation

Neko [114]

Answer:

$13$

Step-by-step explanation:

As the mean is 20.2 and the standard deviation is 2.4

The range within the first standard deviation is

(17.8,22.6)

This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.

Within this range there are

$2+3+4+3+1=13$

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3 years ago

What type a problem can be. Using the greatest common factor

sergeinik [125]

The word greatest in a word problem tells you to do GCF and the word least in a problem means to use the LCM

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3 years ago

Please help me, which of the following sets of ordered pairs is a function?

Anni [7]

Function means no x value repepetes with a differnt y value
(x,y)
first numbers never repeat

first one, the x values repeat
2nd, x values rpeat
3rd, no repeat
4th, -3 repeats

answer is 3rd option

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3 years ago