Joe sells used cars. He recorded the age (in years) of each car on his lot along with the number of kilometers it
had been driven. After plotting his results, Joe noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting distance
driven from the age of the car:

y = 11,000 + 18,000x

What is the residual of a car that is 2 years old and has been driven 50,000 km?

5 ln(x - 2) + 8 ln(x + 3) - 3 ln(x + 8)

ln(x - 2)⁵ + ln(x + 3)⁸ - ln(x + 8)³

since [tex]a\log_cb=\log_cb^a[/tex] (for any base c)

ln((x - 2)⁵ (x + 3)⁸ / (x + 8)³)

since [tex]\log_c(a)+\log_c(b)=\log_c(ab)[/tex] and [tex]\log_c(a)-\log_c(b)=\log_c\frac ab[/tex] (also for any base c)

Answer:

11. the first one 12. the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 - the first option

12-the second option

Answer:

99.7%

Step-by-step explanation:

99.7% of boys fall between 61.5 and 76.5

The percentage of the boys that are between 61.5 and 76.5 inches tall is 99.73%

The given parameters are:

Start by calculating the z score for x = 61.5 and 76.5 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z_1 = \frac{61.5 - 69}{2.5} = -3[/tex]

[tex]z_2 = \frac{76.5 - 69}{2.5} = 3[/tex]

The percentage is then represented as:

Percentage = P(-3 < x < 3)

Using the z table of probabilities, we have:

Percentage = 0.9973

Express as percentage

Percentage = 99.73%

Hence, 99.73% of the boys are between 61.5 and 76.5 inches tall

Read more about normal distribution at:

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Answer:

C, if someone else gets the same answer as me then its right

Step-by-step explanation:

Answer:

Subsitute the known point: (-1,3)

y>-5x^4+ 7x^3 +8.

3> -5(-1)^4 + 7(-1)^3 + 8

3> -5(1) + 7(-1) + 8

3> -5 - 7 + 8

3 > -4

True

3 Is greater than -4.

Answer:

True

Step-by-step explanation:

Just got it right on edge!

Answer:

B)13 pints

Step-by-step explanation:

SO first we find the unit rate

We know that in 90 minutes (hour and a half), the water leaked 6 pints form 2;30 to 4

Now So we can divide to find unit rate

6/90=1/15

So 1 pint for every 15 minutes

And now we want to know the amount it takes from 2:30 to 6:30 which is 4 hours

40 hours is 240 minutes

SO we can divide now

240/15=16

SO 16 pints leaked but the question asked for remaining water in container

So 29-16 is 13

So B)13

Answer:

Like the other person said there's 40 apples.

Step-by-step explanation:

but is there more to the question or..?

Answer:

-18.75 Meters

Step-by-step explanation:

0.75 x -25 = -18.75 Meters :D

First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

cos²(θ/2) = (1 + cos(θ)) / 2

sin²(θ/2) = (1 - cos(θ)) / 2

and taking the positive square roots, we have

cos(θ/2) = √[(1 + cos(θ)) / 2]

sin(θ/2) = √[(1 - cos(θ)) / 2]

Then

tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]

Notice how we don't need sin(θ) ?

Now, recall the Pythagorean identity:

cos²(θ) + sin²(θ) = 1

Dividing both sides by cos²(θ) gives

1 + tan²(θ) = 1/cos²(θ)

We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.

cos²(θ) = 1/(1 + tan²(θ))

cos(θ) = - 1/√[1 + tan²(θ)]

Plug in tan(θ) = - 12/5 and solve for cos(θ) :

cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(θ/2) and tan(θ/2) :

sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

Step-by-step explanation:

AC B D

AD B C

A BC D

A BD C

hope it's right

Answer:

80 ppl have gray T-shirts

Step-by-step explanation:

Hope this helps!      :3

Plz mark as brainliest!

Answer:

$5825000

Step-by-step explanation:

You just take 23.3% of the 25 million dollars silly.

Answer:

Step-by-step explanation:

Let the length of the string be x:

Answer:

$3.50

Step-by-step explanation:

14 is double 7

So the price should be double

1.75 x 2 = 3.5

(Assuming there's no base fee and the charge is purely for minutes)

Correct question is;

Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........

Answer:

x = 35°

Step-by-step explanation:

We are told that;

cos x = sin(20 + x)°

and 0° < x < 90°

From trigonometric identities, we know that;

cos x = sin (90 - x)

Applying to our question gives;

sin (90 - x) = sin (20 + x)°

Comparing both sides, we have;

90 - x = 20 + x

Rearranging;

90 - 20 = x + x

70 = 2x

x = 70/2

x = 35°

Answer:

I hope this helps!!!

Step-by-step explanation:

Answer:

90 games

Step-by-step explanation:

Of the 120 games the football team played, they won 75% of them.

Remember that in mathematics, "of" almost always means to multiply. Here, that means we must multiply 75% by 120:

75% * 120

Remember also that % just means divided by 100, so 75% = 75 / 100. So:

75% * 120 = (75/100) * 120 = 9000/100 = 90 games

Answer: I would go towards B

Step-by-step explanation:

122/8 = 15.25

This is more towards 15, so put the dot in the middle of 14 and 16

Answer:

117

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

2+2=4

45+68=113

113+4=117

Answer:

1 /3

≈0.333

Step-by-step explanation:

The representation which the arrow point out 0.666...

A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

given:

2/3+1 1/6-1/2

Taking LCM

=2*2/3*2+1 1/6-1*3/2*3

=4/6+7/6-3/6

=8/6

=2/3

=0.666...

So, the number that represent 0.666... is  not shown it should be a representation which the arrow point out 0.666...

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Answer:

Step-by-step explanation:

7x + 6 + 5

six and five both are regular numbers but the 7x is not like term

7x + 11

Step-by-step explanation:

question 8 answer = -4

questions 9 answer = -18

pls mark my answer as brainlist plzzzz vote me also

Answer:

7/4 and 3

Step-by-step explanation:

It's a positive slope (sloping up and to the right).

If its sloping from quadrant 3 to 1, it's positive