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evablogger [386]
2 years ago
6

Are these equations of lines parallel: Y=3X+4 and Y+3 = -3(-X+2) NO YES

Mathematics
2 answers:
koban [17]2 years ago
5 0
They are indeed parallel! So (YES)

~Have a lovely day and don’t forget to wash your hands!~
Rzqust [24]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

Change the second equation into slope-intercept form: y+3=-3(-x+2)

Distribute the -3: y+3=3x-6

Isolate the y: y=3x-6-3

Simplify: y=3x-9

Since they have the same slope, they are parallel

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You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele
Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.093

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that n = 20, s = 31.61

What is the margin of error for this estimate?

M = T\frac{s}{\sqrt{n}}

M = 2.093\frac{31.61}{\sqrt{20}}

M = 14.79

The margin of error for this estimate is of 14.79 yards per game.

3 0
3 years ago
Write an algebraic expression to answer each question do this on a sheet of paper
Korolek [52]

Hello.

In 10 years, his age will be

\mathrm{z+10}

The sum of his current age and 10 equals his age in 10 years.

2 years ago his age was

\mathrm{z-2}

The difference of his current age and 2 equals his age 2 years ago.

7 years ago his age was

\mathrm{z-7}

The difference of his current age and 7 equals his age 7 years ago.

Therefore, his age after 10 years will be \mathrm{z+10}, his age 2 years ago was \mathrm{z-2}, and his age 7 years ago was \mathrm{z-7}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

4 0
2 years ago
Read 2 more answers
Nathan buys 8 bottles of iced tea at the grocery store. He has coupons for $0.35 off the regular price of each bottle. After usi
solniwko [45]

Answer:

$1.25

Step-by-step explanation:

0.35 x 8 = 2.80

7.20 + 2.80 = 10

10 divided by 8 = 1.25

Thank you :)

3 0
2 years ago
4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
artcher [175]

<span>Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.</span>

Two lines that intersect at right angles are perpendicular.

<span>A. The statement is not reversible.   </span>

<span>B. Yes; if two lines intersect at right angles, then they are perpendicular.   </span>

<span>C. Yes; if two lines are perpendicular, then they intersect at right angles.   </span>

<span>D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.</span>



Your Answer would be (D)

<span>Yes; two lines intersect at right angles if (and only if) they are perpendicular.


</span><span>REF:    2-3 Biconditionals and Definitions</span>
6 0
3 years ago
Read 2 more answers
Calculate the amount of hcn that gives the lethal dose in a small laboratory room measuring 12.0 ft×15.0 ft×8.50ft.
Anarel [89]
Dimensions of the room in cm = 2.54 x 12 by 15 x 2.54 by 2.54 x 8.5 = 30.48 by 38.1 by 21.59

Volume of the room in cubic cm = 30.48 x 38.1 x 21.59 cubic cm = 25,072.21 cubic cm

Given that the density of air at room temperature is 0.00118g/cm^3, thus the mass of air in the room = 25,072.21 x 0.00118 = 29.59 g = 0.0296 kg

Given that the lethal dose of HCN is approximately 300 mg HCN per kilogram of air when inhaled, thus the <span>amount of HCN that gives the lethal dose in the small laboratory room is given by 300 x 0.0296 = 8.88 mg.</span>
7 0
3 years ago
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