MATHEMATICS HIGH SCHOOL

Explain how a number and its reciprocal are related

Answers

Answer 1
Answer: A number's reciprocal when multiplied by the original form of the number is, and always will be, 1.

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The Greens Manufacturing Company makes 60% of a particular type of camera lens, the Parsons Company makes 15% of them, and the Ratten Company makes the remaining 25%. Of all the camera lenses, 5% are made by Greens and are defective, 10% are made by Parsons and are defective, and 6% are made by Ratten and are defective.. . . Lens Defective Not Defective Total .
Greens 5% 55% 60% .
Parsons 10% 5% 15% .
Ratten 6% 19% 25% .

If a camera lens is randomly selected from the general population of all lenses, what is the probability that it was NOT made by the Ratten Company, given that it is defective?



0.22



0.36



0.49

Answers

Answer:

The probability is:

                              0.71

Step-by-step explanation:

Let A denote the event it is defective

and B denote the event that it is not made by Ratten company.

             Lens Defective     Not Defective     Total .  

Greens          5%                          55%             60% .  

Parsons        10%                         5%               15% .  

Ratten            6%                          19%              25% .

Total               21%                        79%             100%

P(A)=0.21

( Since 21/100=0.21 )

P(A∩B)= 15%

( Since,  5%+10%=15%

and 15%/100%=0.15)

Hence, we are asked to find P(B|A)

We know that:

P(B|A)=(P(A\bigcap B))/(P(A))\n\n\nP(B|A)=(0.15)/(0.21)\n\n\nP(B|A)=(15)/(21)\n\n\nP(B|A)=0.71

                   The answer is:

                           0.71

Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced, how many feet apart are they?(1 mile = 5,280 feet)
answer the question

Answers

Answer:

The answer is: The posts are 160 feet apart.

Step-by-step explanation:

Ramona is counting the posts between mile markers on the highway.

1 mile = 5,280 feet

Its given that in 1 mile or 5280 feet there are 33 posts.

If posts are evenly spaced, then they are (5280)/(33)= 160 feet apart.
They are160 ft apart

What solution of the inequality -1<4+5x<9

Answers

-1\ \textless \ 4+5x\ \textless \ 9 \n \n -1 - 4 \ \textless \ 5x \ \textless \ 9 - 4 \ / \ subtract \ 4 \ from \ equation \n \n -5 \ \textless \ 5x \ \textless \ 5 \ / \ simplify \n \n - (5)/(5) \ \textless \ x \ \textless \ 1 \ / \ divide \ equation \ by \ 5 \n \n -1 \ \textless \ x \ \textless \ 1 \ / \ simplify \n \n

Answer: -1 < x < 1

45 – 15 – 15 =
A. 15.
B. 0.
C. 1.
D. 30

Answers

The result of the expression 45 - 15 - 15 is 15.

(Option A).

What is the solution of the expression?

The solution of the linear expression is calculated as follows;

The given expression;

45 – 15 – 15 = ?

To solve the expression 45 - 15 - 15, we follow the order of operations, which dictates that we perform the subtraction operations from left to right.

First, we subtract 15 from 45:

45 - 15 = 30

Then, we subtract another 15 from the result of the previous operation:

30 - 15 = 15

Therefore, the result of the expression 45 - 15 - 15 is 15.

Therefore, the correct option is A. 15.

Learn  more about expressions here: brainly.com/question/723406

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45 - 15 - 15 = 45 - 30

45 - 30 = (15)

How many digits will be in the quotient of 588divided by 6 use place value to explain

Answers

The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.

The numbers are given below.

588 and 6

Then the division between the numbers 588 and 6 will be given by putting a division sign between them. Then we have

⇒ 588 ÷ 6

⇒ 588/6

⇒ 98

The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.

More about the Algebra link is given below.

brainly.com/question/953809

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There will be only 2 digits because 588 divided by 6 is 98. Since the 9 is in the tens place and the 8 is in the ones place.

Carlos invested part of $3,000 in a 10% certificate account and the rest in a 6% passbook account. The total annual interest from both accounts is $270. How much did he invest at 6%?

Answers

(3000-n)*(10/100)+n*(6/100) = 270
300 - 0.1n + 0.06n = 270
300 - (0.1n - 0.6n) = 270
300 - 0.04n = 270
-0.04n = -30
n = -30/-0.04 = 750
Investment at 6% = 750
Investment at 10% = 3000 - 750 = 2250
And to check just plug it back in so,
(0.06*750)+(0.1*2250) = 270
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