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Savatey [412]
3 years ago
11

A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The t

able shows the data:
Number of hours spent studying
()
0
0.5 1 1.5 2 2.5 3 3.5 4
Seore on science test
V)
57 62 67 72 77 82 87 99 97
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer
Mathematics
1 answer:
Maru [420]3 years ago
7 0

yes there is a a correlation

f(x) = 4x + 60

slope = 4

y-intercept = 60

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Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of y
denpristay [2]

Answer:

(y - 1) = -3(x - 6)

Step-by-step explanation:

The equation of a line in point-slope form is

(y-y_{1}) = m (x-x_{1})

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.

y is a variable so it is left alone (since there is no subscript).

y1 we are told is 1.

m we are told is -3 (the slope)

x is a variable so it is left alone (since there is no subscript).

x1 we are told is 6.

3 0
3 years ago
If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?
andrew11 [14]

Correct answer for the above question is - option B. 86°

<u>Step-by-step explanation:</u>

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

<u>∠POQ = 86°</u>

Angle POQ is  86°

Thus we can conclude option B as correct answer.

4 0
3 years ago
Select the correct answer. which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6
tigry1 [53]

The answer choice which is the farthest from a normal distribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.

<h3>Which data set is farthest from a normal distribution?</h3>

A normal distribution, is a data set which when graphed must follow a bell-shaped symmetrical curve centered around the mean. Additionally, such distribution must adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.

Read more on normal distribution;

brainly.com/question/26678388

#SPJ4

4 0
2 years ago
To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you
vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then x=\frac{c*b}{a}

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

seconds=\frac{15 minutes*60 seconds}{1 minute}

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

distance=\frac{900 seconds*0.1 miles }{25 seconds}

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

<u><em>The total distance covered is 15.6 miles.</em></u>

6 0
3 years ago
Put the following equation in slope-intercept form: 2x+4y=12
guajiro [1.7K]
Y=-1/2x+3 is the slope intercept form.
4 0
3 years ago
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