Evaluate a + 4 when a =87

Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for thenumber of miles per gallon of gasoline

zimovet [89]

Answer:

C

Step-by-step explanation:

164.7/8.6 = 19.15

about 20 miles per gallon

4 0

2 years ago

What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.

Julli [10]

Answer: option B

Step-by-step explanation:

-4, 1, 3

6 0

2 years ago

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells.

Sergio039 [100]

Answer:

This mileage interval is from 30120 miles and higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. This means that $\mu = 25000, \sigma = 4000$ .

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells. What interval wouldyou suggest?

The lower end of this interval is X when Z has a pvalue of 0.90. That is $Z = 1.28$ .

So

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 25000}{4000}$

$X - 25000 = 4000*1.28$

$X = 30120$

This mileage interval is from 30120 miles and higher.

7 0

2 years ago

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form

Alex

The other format for straight-line equations is called the "point-slope" form. For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this formula:

y – y1 = m(x – x1)

Don't let the subscripts scare you. They are just intended to indicate the point they give you. You have the generic "x" and generic "y" that are always in your equation, and then you have the specific x and y from the point they gave you; the specific x and y are what is subscripted in the formula. Here's how you use the point-slope formula:

Find the equation of the straight line that has slope m = 4 and passes through
the point (–1, –6).This is the same line that I found on the previous page, so I already know what the answer is (namely, y = 4x – 2). But let's see how the process works with the point-slope formula.They've given me m = 4, x1 = –1, and y1 = –6. I'll plug these values into the point-slope form, and solve for "y=":y – y1 = m(x – x1)
y – (–6) = (4)(x – (–1))
y + 6 = 4(x + 1)
y + 6 = 4x + 4
y = 4x + 4 – 6y = 4x – 2 Copyright © Elizabeth Stapel 2000-2011 All Rights Reserved

This matches the result I got when I plugged into the slope-intercept form. This shows that it really doesn't matter which method you use (unless the text or teacher specifies). You can get the same answer either way, so use whichever method works more comfortably for you.

You can use the Mathway widget below to practice finding a line equation using the point-slope formula. Try the entered exercise, or type in your own exercise. Then click "Answer" to compare your answer to Mathway's. (Or skip the widget and continue with the lesson.)

7 0

2 years ago

Read 2 more answers

Which of the following equations describes the line shown below? Check all

Brilliant_brown [7]

Answer:

y = 7 x + 15

Step-by-step explanation:

6 0

2 years ago

Evaluate a + 4 when a =87​

Evaluate a + 4 when a =87