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Romashka-Z-Leto [24]
2 years ago
7

An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enroll

ment values shown in the table below:
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.

A. No, the equation is not a good fit because the sum of the residuals is a large number.
B. No, the equation is not a good fit because the residuals are all far from zero.
C. Yes, the equation is a good fit because the residuals are not all far from zero.
D. Yes, the equation is a good fit because the sum of the residuals is a small number.

Mathematics
1 answer:
Zigmanuir [339]2 years ago
6 0

Answer:

<em><u> B. No, the equation is not a good fit because the sum of the residuals is far from zero. </u></em>Should be your answer

Step-by-step explanation:

Have a nice day :)

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Nelson Mandela was a South African politician known for fighting racism and inequality. He was president of South Africa until h
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One possible inequality would be

1999-x<0.

If you subtract any year after he stepped down from 1999, the year he stepped down, the result will be a negative number.
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Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p
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Answer:

P(X 0.9619

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

P(X \sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}

P(X 0.9619

8 0
2 years ago
Christmas Tree lights are used not only for Christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string
puteri [66]

Answer: Hello!

Ok, because the bulbs are wired in series, then if only one fails, all the string fails.

Then we need to see the probability for the 20 bulbs to not fail.

If the probability for each bulb to fail is 0.02, then the complement (or the probability of working fine) is 1 - 0.02 = 0.98

then we have 20 bulbs, and each one has a probability of 0.98 of working alright, then the probability for all them to work alright is the multiplication of this probabilities, this is

0.98^{20} = 0.6676

rounded up in the decimal, we have 0.668

then the correct answer is c.

6 0
2 years ago
To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
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Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical  mass is dropped onto the mat from a height of 1 m above the mat. During the impact,  the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to  only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

a)

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= 20 \times 9.8 \times 1 = 196 J

b)

Work done  by the mat do to stop the fall of the cylinder =-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J

C)

Work done=\text{Average force} \times \text{ Compression of mat}

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8 0
2 years ago
According to the scatterplot below, which statement is correct?
FinnZ [79.3K]

Answer:

Hey there

Step-by-step explanation:

The input, or independent variable, is years in operation.

Step-by-step explanation:

In an ordered pair (x, y),  the independent variable or input is x  and y is the dependent variable or the output.

Therefore, the values on x-axis determine the results or output on y-axis.

The ordered pairs (x, y) are:

(1, 11)     ⇒  there are 11 enrollees on Year 1

(2, 33)   ⇒  there are 33 enrollees on Year 2

(3, 39)   ⇒  there are 39 enrollees on Year 3

(4, 58)   ⇒  there are 58 enrollees on Year 4

(5, 85)   ⇒  there are 85 enrollees on Year 5

Where:

x are values on the x-axis that refers to number of years in operation

y are values on the y-axis that refers to the corresponding numbers of enrollees for each year.

Even without the graph, the correct statements i:

The input, or independent variable, is years in operation.

- brainly user

8 0
1 year ago
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