You know the distance between two cities is 140 miles. What is distance in kilometers?

Answers

Answer 1

Answer: It is known that 1 mile = 1.609 kilometers. So the distance between these two cities, in kilometers, is equal to 140*1.609, which gives us ~225km.

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Write a simplified polynomial expression in standard form to represent the area of the rectangle below.A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

5x2 + 18x − 2

5x2 + 13x + 2

5x2 − 18x − 8

5x2 + 13x + 8

Answers

Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4

Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8

The polynomial expression that represents the area of the rectangle is: C. 5x² - 18x - 8

What is the Area of a Rectangle?

Area = (length)(width)

Given the dimensions of the rectangle as:

Length = 5x + 2
Width = x - 4

Area of the rectangle = (5x + 2)(x - 4)

5x(x - 4) + 2(x - 4)

5x² - 20x + 2x - 8

Add like terms together

5x² - 18x - 8

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3. If 30 is 50% of a value, what is that value?

Answers

.50 × N = 30
Divide both sides by .50
N = 60.

The government’s claims that students earn an average of $4,500 during their summer break from studies. A random sample of students gave had a sample average of $3,975 and a 95% confidence interval was found to be $3,525 < µ < $4,425. This interval is interpreted to mean that:a. because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500.b. if we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500.c. if we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students.d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Answers

Answer:

d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Step-by-step explanation:

95% confidence interval $3,525 < µ < $4,425 suggests that (choice d) there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

This result also suggests that (choice a) the true average summer earnings is not $4500, because our specific confidence interval does not contain the value $4500. But 95% probability is about the interval $3,525 < µ < $4,425, not the value $4500.

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answers

y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b

earned 75 and deliverd 20 newpapers
75=20m+b

we have

37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton

-37.5=-5m-b
75=20m+b +
37.5=15m+0b

37.5=15m
divide both sides by 15
2.5=m

sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b

y=2.5x+25 is lnear funtion

The linearfunction is y=2.5x+25

What is linear function?

A linear function is a function whose graph is a straightline, that is, a polynomial function of degreezero or one.

As, we know equation of line

y=mx + b

x=number of newspapers

37.5=5m+b...............(1)

also,

75=20m+b....................(2)

Solving (1) and (2) , we get

37.5=15m

m=2.5

and, 75=2.5(20)+b

75=50+b

b= 25

Hence, y=2.5x+25 is linear function.

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The answer to the polynomial

Answers

-Polynomials don't have answers.
This question just wants you to add 2 polynomials.
The pencil work under the first one is incorrect.

Here's what you need to do to find the sum of polynomials:

-- Remove parentheses.
(If there's a plus sign before the whole parentheses, then just erase the parentheses. If there's a minus sign before the whole thing, then change the sign of each term inside, and erase the parentheses.)

-- Add up all the x² terms.
Like this ...

x² + x² = 2x²
or
2x² + 7x² = 9x²

-- Add up all the x³ terms the same way.

-- Add up all the 'x' terms the same way.

-- Add up the plain numbers.

-- Write down all the sums as a new polynomial.

Identify the problem with the following study.An internet poll on a website asks people to indicate whether or not they have a cable TV subscription. 1974 people respond with 847 indicating that they do have a cable TV subscription.

precise numbers

correlation and causality

nonresponse

voluntary response

Answers

I think the problem with the following study is the precise numbers.

Though an exact number of correspondents responded to the internet poll survey, the fact that the poll was conducted through the internet means that there is a possibility that these responses came from all over the world. It is not limited to a specific area.

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For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range. a. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≥ 4. b. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≤ 4. c. The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4. d. The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.