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1 year ago

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Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

1 answer:

Vikentia [17]1 year ago

8 0

Answer:

Linear approximation is given by: $y = \frac{x}{5}+2$

Step-by-step explanation:

We are given the following information in the question:

Number of citations: 5 7.5 10 15 20

Outputs Residuals: 3 6 10 5 6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

$(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)$

where, $(x_1,y_1), (x_2.y_2)$ is the point through which the line passes.

The equation of line is:

$(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2$

The above equation is the required linear approximation.

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Sam gave jen 1/2 of his jujubes .jen ate 1/2 ofthe jujubes and gave rest to kyle.kyle kept 8 of the jujubes and gave the last 10

erastovalidia [21]

Let x = the # jujubes Sam had
he gave x/2 to jen
jen eats half of it = 1/2(x/2) = x/4
the remaining x/4 he gave to kyle
kyle kept 8 and gave 10 to Kim
so
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thus jen had 36 jujubes
jen eat 18 jujubes

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1 year ago

Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than

lozanna [386]

Answer:

<h2>Second choice.</h2>

Step-by-step explanation:

The given inequality is

$-\frac{1}{2}x \geq 4$

Let's solve for $x$

$x\leq -4(2)\\x\leq -8$

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.

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2 years ago

Read 2 more answers

An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A)

erik [133]

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

18-20 Not 18-20 Total

Male 0.23 0.35 0.58

Female 0.16 0.26 0.42

Total 0.39 0.61 1

P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)

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Hence, our required probability is 0.65.

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1 year ago

Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the I minus 1 power from 1 to infinit

Finger [1]

∑ from 1 to infinity of 12(3/5)^(i - 1)
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Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.

Sum = 12/(1 - 3/5) = 12/(2/5) = 30.

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1 year ago

The probability of a train arriving on time and leaving on time is 0.8. The probability that the train arrives on time and leave

kkurt [141]

Answer:

<u>0.9524</u>

Step-by-step explanation:

<em>Note enough information is given in this problem. I will do a similar problem like this. The problem is:</em>

<em>The Probability of a train arriving on time and leaving on time is 0.8.The probability of the same train arriving on time is 0.84. The probability of the same train leaving on time is 0.86.Given the train arrived on time, what is the probability it will leave on time?</em>

<em />

<u>Solution:</u>

This is conditional probability.

Given:

Probability train arrive on time and leave on time = 0.8
Probability train arrive on time = 0.84
Probability train leave on time = 0.86

Now, according to conditional probability formula, we can write:

$P(Leave \ on \ time | arrive \ on \ time)$ = P(arrive ∩ leave) / P(arrive)

Arrive ∩ leave means probability of arriving AND leaving on time, that is given as "0.8"

and

P(arrive) means probability arriving on time given as 0.84, so:

0.8/0.84 = <u>0.9524</u>

<u></u>

<u>This is the answer.</u>

5 0

1 year ago