MATHEMATICS HIGH SCHOOL

Suppose you buy a new car whose advertised mileage is 23 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 19.4 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.07 mpg. A. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct.
B. Does it appear that your car is getting unusually low gasmileage?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer 2

Answer:

mu = population mean = advertised mean = 23

x = raw score = 19.4

sigma = population standard deviation = 1.07

z = (x - mu)/sigma

z = (19.4 - 23)/1.07

z = -3.36448598130841

z = -3.36

=======================================

The general rule is that if $-2 \le z \le 2$ , then the z score is not unusual. Otherwise, it is unusual.

Since z = -3.36 falls outside the range, the car is getting unusually low gas mileage.

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Solve the following equation. Remember to check for extraneous solutions 7/(b+3) + 5/(b-3) = (10b-2)/(b²-9).
Identify this conic section. x 2 - 4x + y 2 - 4y + 4 = 12

The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and length.

Answers

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An equation is shown below:3(4x − 2) = 1

Which of the following correctly shows the first two steps to solve this equation?
Step 1: 12x − 2 = 1; Step 2: 12x = 3

Step 1: 12x − 6 = 1; Step 2: 12x = 7

Step 1: 7x + 1 = 1; Step 2: 7x = 0

Step 1: 7x − 5 = 1; Step 2: 7x = 6

Answers

Answer:

The correct option is 2.

Step-by-step explanation:

The given equation is

$3(4x-2)=1$

Step 1: use distributive property.

$3(4x)+3(-2)=1$

$12x-6=1$

Step 2: Add 6 on both the sides.

$12x-6+6=1+6$

$12x=7$

Therefore the correct option is 2.

Answer:

Ya'll trippin', the person above is correct, it's the second option;

Step 1: 12x - 6 = 1; Step 2: 12x = 7

Step-by-step explanation:

How do I know?

3(4x - 2) = 1

(do distributive property)

so 3 times 4x and 3 times -2

12x - 6 = 1

(add +6 to 1; you do + 6 because you do the opposite of the og sign)

12x = 7

SO, the answer is clearly the second option.

^^ brainliest?!?

The profit a company earns every month depends of the amount of product sold, p, for $855 each and the amount spent in rent, utilities and other expenses, which always totals to $6,780. The CEO of the company earns 1 this profit. How much the CEO eam if the company sells 250 products in a given month?

Answers

so the ceo gains 855 for every product sold but losses 6780. you can make it into an equation

profit = 855p - 6780

just sub the number of products sold in p

Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.

Answers

No, I do not.

Explanation:
Algebraically, an odd function is one where f(-x) = -f(x). This means that if we substitute -x for every x in the function, it should be the same as switching every sign in the function. This does not always work.

For example, if f(x)=x³+7:
f(-x)=(-x)³+7=-x³+7.

However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.

Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know,

For even function: f(-x) = f(x)

For odd function: f(-x) = -f(x)

If Dimetri says that, a function that is made of terms where the variable is raised only to an odd power will be an odd function.

The Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Thus, Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Learn more about the function here:

brainly.com/question/5245372

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What is the general form of the equation of a circle with center at (a, b) and radius of length m?. A. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 . . B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0. C. x2 + y2 − 2ax − 2by + (a + b − m2) = 0. D. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.

Answers

The generic equation of the circle is given by:
$(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2$
Where,
r: radius of the circle
(xo, yo): center of the circle.
The center of the circle in this case is:
$(xo, yo): (a, b)$
The radius of the circle is:
$r = m$
Substituting values we have:
$(x-a) ^ 2 + (y-b) ^ 2 = m ^ 2$
Rewriting the equation we have:
$x ^ 2 - 2ax + a ^ 2 + y ^ 2 - 2by + b ^ 2 - m ^ 2 = 0x ^ 2 + y ^ 2 - 2ax - 2by + a ^ 2 + b ^ 2 - m ^ 2 = 0$
Answer:
The general form of the equation of a circle with center at (a, b) and radius of length m is:
$x ^ 2 + y ^ 2 - 2ax - 2by + a ^ 2 + b ^ 2 - m ^ 2 = 0$
option A

The general form of the equation of a circle with center at (a, b) and radius of length m is B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2)

the standard equation for a circle is: (x-a)^2 + (y-b)^2 = m^2

x-a)^2 + (y-b)^2 = m^2

means(x-a)(x-a) + (y-b)(y-b) = m^2 then you foil

x^2 - 2ax + a^2 + y^2 - 2by + b^2 = m^2

Angie read 3 books in 4 days, and each book contained 320 pages. If Angie read the same number of pages each day, how many pages did she read per day?

Answers

3*320=960 960/4=240 Angie read 240 pages everyday.

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