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sertanlavr [38]
3 years ago
10

The scatter plot below shows the relationship between the weekly hours of watching television and the weekly hours spent exercis

ing, by the students of a high school:
A scatter plot is shown with the title Leisure Activities. The x-axis is labeled hours spent exercising, and the y-axis is labeled hours spent watching TV. Data points are located at 1 and 4, 2 and 6, 2 and 3, 4 and 3, 6 and 1, 4 and 5, 7 and 2, 0 and 6. A line connects the points 0 comma 6 and 8 comma 0.

What is the y-intercept of the line of best fit, and what does it represent?

6 hours; the number of hours students exercise when they do not watch television
6 hours; the number of hours students watch television when they do not exercise
8 hours; the number of hours students exercise when they do not watch television
8 hours; the number of hours students watch television when they do not exercise
Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer: 6 hours; the number of hours students watch television when they do not exercise

Step-by-step explanation:

Given:  The x-axis is labeled hours spent exercising, and the y-axis is labeled hours spent watching TV .

From the given scatter plot and with repect to the given optionsa , a data point is located at x=0 and y=6, which represents the y intercept of the line of best fit.

Here 6 represents 6 hours; the number of hours students watch television when they do not exercise. [since x=0]

Pachacha [2.7K]3 years ago
6 0
I think it's B since the Y-axis represents hours watched Television compared to exercise.
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Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 produ
Allisa [31]

Answer:

Probability of stopping the machine when X < 9 is 0.0002

Probability of stopping the machine when X < 10 is 0.0013

Probability of stopping the machine when X < 11 is 0.0082

Probability of stopping the machine when X < 12 is 0.0399

Step-by-step explanation:

There is a random binomial variable X that represents the number of units come off the line within product specifications in a review of n Bernoulli-type trials with probability of success 0.91. Therefore, the model is {15 \choose x} (0.91) ^ {x} (0.09) ^ {(15-x)}. So:

P (X < 9) = 1 - P (X \geq 9) = 1 - [{15 \choose 9} (0.91)^{9}(0.09)^{6}+...+{ 15 \choose 15}(0.91)^{15}(0.09)^{0}] = 0.0002

P (X < 10) = 1 - P (X \geq 10) = 1 - [{15 \choose 10}(0.91)^{10}(0.09)^{5}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0013

P (X < 11) = 1 - P (X \geq 11) = 1 - [{15 \choose 11}(0.91)^{11}(0.09)^{4}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0082

P (X < 12) = 1- P (X \geq 12) = 1 - [{15 \choose 12}(0.91)^{12}(0.09)^{3}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0399

Probability of stopping the machine when X < 9 is 0.0002

Probability of stopping the machine when X < 10 is 0.0013

Probability of stopping the machine when X < 11 is 0.0082

Probability of stopping the machine when X < 12 is 0.0399

8 0
3 years ago
Jada is using 84 one-centimeter cubes to build a rectangular prism. She wants the height of the rectangular prism to be 4 centim
Black_prince [1.1K]

Answer:

One rectangular prism is possible with 7cm × 3cm × 4cm.

Step-by-step explanation:

Jada used number of cubes = 84

Side of one small cube = 1 cm

Volume of one small cube = 1 cm³

Volume of 84 small cubes = 84 cm³

She wants to build a rectangular prism with height = 4 cm

Let the length of the prism = x cm

and the width of the prism = y cm

and x > y

Volume of the prism = length × width × height

                                  = (x)(y)(4)

                                  = 4xy cm³

If the volume of prism = volume of 84 small cubes

Then 4xy = 84

xy = 21

Possible values of x = 3, 7

and y = 7, 3

But x > y

So x = 7 and y = 3 will be the answer.

Therefore, only one rectangular prism is possible with dimensions

length = 7 cm, width = 3 cm, height = 4 cm.

4 0
4 years ago
Please answer me without spamming
brilliants [131]
THE ANSWER :- h = 93.88 cm

Step by step:-

6 0
3 years ago
As the numbers of phones produced increases, will the working rate ever get to 100%? Explain
icang [17]
Some things you need in your respond is:

- Although the percentage might eventually round to 100%, it is not possible to have 100% of the phones working.
- This is because the model began when only 3 out of 10 phones were working, so there are 7 phones that were not working.
- In other words, the numerator and denominator of the expression are never the same, so the expression is never equal to 1 or 100%.
7 0
4 years ago
Read 2 more answers
A culture of 1.08×1015 bacteria is in petri dish A. A culture of 2.7×1011 bacteria is in petri dish B.
dalvyx [7]
<span> 1.08×10^15
------------------ = 0.4 x 10^4 = 4000
</span><span> 2.7×10^11

answer
4000 times greater</span>
3 0
3 years ago
Read 2 more answers
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