MATHEMATICS HIGH SCHOOL

Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches

Answers

Answer 1
Answer:

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

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Solve question in photo. Mathematics help. last one

Answers

easeier than last
y=2x+6
sub 2x+6 for y
3x-(2x+6)=6
3x-2x-6=6
x-6=6
add 6
x=12
sub
y=2x+6
y=2(12)+6
y=24+6
y=30

x=12
y=30
(x,y)
(12,30)



soltion is (12,30)

A couple just had twin boys, but they can’t decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple randomly chooses names for the 2 boys from the names listed, what is the probability that the first boy born will be named Sam and the second boy born will be named Mark? Assume that the boys will not have the same name.

Answers

Answer:

The probability is 1/30 or 0.0333

Step-by-step explanation:

For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.

To calculate the total number of  ways in which the couple can name their children, we can use the rule of multiplication as:

         6             *              5                   =    30          

First boy Born       2nd Boy Born

Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.

Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.

So, the probability is calculate as the division between 1 and 30 as:

P=(1)/(30) = 0.0333

Final answer:

The probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.

Explanation:

To find the probability that the first boy born will be named Sam and the second boy born will be named Mark, we need to determine the total number of possible outcomes and the number of favorable outcomes.

There are a total of 6 names to choose from and the couple needs to choose 2 names without repetition. So, the total number of possible outcomes is given by the combination formula C(6,2) which evaluates to 15.

Out of these 15 possible outcomes, there is only 1 favorable outcome where the first boy is named Sam and the second boy is named Mark.

Therefore, the probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.

Learn more about Probability here:

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Car rental company A charges $45 a day to rent a certain car. Car rental B charges $30 a day plus $0.20 per mile to rent a similar car. For how many miles is the cost at car rental Company B more than the cost at car rental company A?​

Answers

Answer is given below

Final answer:

The cost at car rental company B is more than the cost at car rental company A when the number of miles driven is greater than $15.

Explanation:

The cost at car rental company B is more than the cost at car rental company A when the number of miles driven is greater than $15.

To find this, you can set up an equation:

  • The cost at car rental company A is given by: $45 x d, where d represents the number of days.
  • The cost at car rental company B is given by: ($30 + $0.20m) x d, where m represents the number of miles driven.

So we need to find when ($30 + $0.20m) x d is greater than $45 x d.

($30 + $0.20m) x d > $45 x d

$30 + $0.20m > $45

$0.20m > $15

m > 75

Therefore, when the number of miles driven exceeds 75, the cost at car rental company B is more expensive.

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What is the answer to 9/8= g+1/2

Answers

9/8=g+1/2
Making g the subject of the formula
g=9/8-1/2
g=9/8-4/8
g=5/8
9/8=g+1/2

g=9/8-1/2

g=9/8-4/8

g=5/8 

Decimal Form: 0.625

You are told that P(A | B) = P(B | A). Which statement below must be true? A and B are equally likely
P(A | B) = 0.5
A and B are independent
A and B are dependent

Answers

The best answer to the question that is being stated above would be that A and B are both dependent. If I was told that P(A | B) = P (B | A), then the true statement is that both variables inside would be dependent upon each other, no matter if you exchange their places with one another.

Answer:

The answer is A and B are dependent

The population of rabbits doubles every 3 months. If there were initially 150 at the bunny farm, how many will there be after 3 years?

Answers

First you need to find how many months there are in 3 years. You multiply 3 by 12 to find out how many months there are(there are 12 months in a year) 3*12 = 36. Next you need to find out how many times the population doubles. You can do this by dividing the total amount of months by 3(36/3=12). You can then multiply the starting population by 2 to the amount of times you double (150*(2^(12))). Giving you an answer of 49152.
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