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mrs_skeptik [129]
3 years ago
6

which residual plot shows that the line of best fit is a good model?

Mathematics
2 answers:
mojhsa [17]3 years ago
4 0

Answer:

The first one.

Step-by-step explanation:

In the first plot, the data are grouped somewhat tightly together in a shape that resembles a line.  This means a line of best fit will work.

In the second plot, the points seem to form an arch towards the middle; a line would not be a good fit for this data.

In the third plot, the data is too scattered to draw a best fit model.

In the fourth plot, the points seem to form a u-shape towards the middle; a line would not be a good fit for this data.

Romashka-Z-Leto [24]3 years ago
3 0
Ideally, we want the dot plots to cluster (or to 'group') close enough with each other to draw a line best fit.

Plot 1: The plots are close enough to each other we can draw a line best fit, as shown in the picture below

Plot 2 and Plot 3: We draw the line best fit following the trend of most dot plots but there are outliers. Outliers are the dot plots that are far away from the cluster near the line-best-fit

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You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 303030 minutes
aliina [53]

Answer:

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Step-by-step explanation:

Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.

How many minutes will you read if your brother reads for 15 minutes?"

Solution to the problem

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

5 0
4 years ago
Which is greater 272 oz or 20 lb
lakkis [162]
20lbs is greater because 272 oz is 17lbs
hope it helps
please mark as brainliest
8 0
3 years ago
Read 2 more answers
The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

so that

\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}

7 0
3 years ago
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and
STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

P(A) = \frac{4}{52} = \frac{1}{13}

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

P(B|A) = \frac{12}{51}

What is the probability of choosing a king and then, without replacement, a face card?

P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181

0.0181 probability of choosing a king and then, without replacement, a face card.

5 0
3 years ago
Gary is planning to make 7 cuts in a loaf of bread
Roman55 [17]
Then he has eight slices
8 0
4 years ago
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