The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the _ of the _ of the corresponding numbers.A.

product, absolute values

B.

absolute value, difference

C.

difference, values

D.

sum, squares

Answers

Answer 1

Answer: The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers. So the answer is B.

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The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on-time and late flights leaving New York and arriving in Miami between November 1 and December 31, 2018, by airlines: Airlines On-Time Late Total United 254 72 326 Delta 292 65 357 American 235 58 683 Total 781 195 a. What is the probability that a randomly selected flight was Delta and was late? b. What is the probability that a randomly selected flight was United or was on-time? c. Given the flight was late, what is the probability that it was from American? d. Given the flight was from Delta, what is the probability that it was late? e. Construct a probability tree for these probabilities.

Answers

a) The probability is $\frac{65}{357}$.

b) The probability is $\frac{781}{1000}$.

c) The probability is $\frac{58}{195}$.

d) The probability is $\frac{65}{357}$.

e) We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

The probability that a randomly selected flight was Delta and was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

The probability that a randomly selected flight was United or was on-time is $\frac{781}{1000}$.Therefore, the probability is $\frac{781}{1000}$.

Given the flight was late, the probability that it was from American is $\frac{58}{195}$.Therefore, the probability is $\frac{58}{195}$.

Given the flight was from Delta, the probability that it was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

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You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates. One city has a tax rate of 7% and the other has a tax rate of 8.5%.What percent can you save by going with the lower tax rate?

Answers

We are given two stores to select and this stores are located in the same distance but of different cities of different tax rates. One city has a tax rate of 7% and the other city has a 8.5%. in order to save, you need to choose a lower tax rate which is 7%. This saves you 1.5% as compared 8.5% of other city

Answer:

The percentage saved is 1.5% .

Step-by-step explanation:

As given

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates.

One city has a tax rate of 7% and the other has a tax rate of 8.5%.

7% is written in the decimal form .

$= (7)/(100)$

= 0.07

Tax price at 7% tax rate = 0.07 × Cost of the computer

= 0.07 × 12000

= $ 840

8.5% is written in the decimal form .

$= (8.5)/(100)$

= 0.085

Tax price with 8.5% tax rate = 0.085 × Cost of the computer

= 0.085 × 12000

= 1020

Change in the tax rate = Tax price with 8.5% tax rate - Tax price at 7% tax rate.

= 1020 - 840

= $180

$Pecentage\ saved = (Change\ in\ the\ tax\ rate* 100)/(Cost\ of\ the\ computers)$

$Pecentage\ saved = (180* 100)/(12000)$

$Pecentage\ saved = (18000)/(12000)$

Percentage saved = 1.5%

Therefore the percentage saved is 1.5% .

What is (9+9)+45?????????

Answers

Answer:

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

PEMDAS, so parentheses come first,

9+9=18

And the next in your problem would be Addition.

So,

18+45=63

PLEASE HELP!A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Which expression can be used to determine the greatest possible volume of the cardboard box?

A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)

Answers

Answer:

Option B

Step-by-step explanation:

Given is a rectangle with width 7 and length 11.

From each corner of the rectangle a square of length x is cut and foled to make a box

Now for the open box we made, height = x

width = rectangle width - 2 times d

= 11-2x

Length = rectangle length-2x

Hence volume of box

=lwh

= (7-2x)(11-2x)x

Answer: B) $(7-2x)(11-2x)x$

Step-by-step explanation:

Given: The length of the cardboard = 11 in.

The width of the cardboard =7 in.

If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-

Width (w)= $7-2x$