Ben is travelling home to Birmingham on the M1 and M42. Both motorways have road works. He has a fifty-fifty chance of getting delayed on the M42 and a 75% chance of being delayed on the M1.

What are the chances that he will not be delayed on his journey?
1 in 4
3 in 8
1 in 8
1 in 2

Answers

Answer 1
Answer: In the question "Ben is travelling home to Birmingham on the M1 and M42. Both motorways have road works. He has a fifty-fifty chance of getting delayed on the M42 and a 75% chance of being delayed on the M1. What are the chances that he will not be delayed on his journey?" The chance that he will not be delayed in his journey is the chance that he will not be delayed on the M1 and he will not be delayed on the M42. Probability of getting delayed on the M1 = 75% = 0.75 Probability of not being delayed on the M1 = 1 - 0.75 = 0.25 Probability of getting delayed on the M42 = 50% = 0.5 Probability of not being delayed on the M42 = 1 - 0.5 = 0.5 Probability of not being delayed on the M1 and not being delayed on the M42 = 0.25 x 0.5 = 0.125 = 1 in 8

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Santa can see up to 25 children per hour what is the maximum number of children he can see in 6 hours?

Answers

The required Santa cane sees up to 150 children in 6 hours.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Santa can see up to 25 children per hour,
Now,
The number of children that Santa can see in 6 hours is given as,
= 25 × 6
= 150 children

Thus, the required Santa cane sees up to 150 children in 6 hours.

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He can see up to 150 because, 25x6 is 150 children.

a sequence has an initial value of 10 and each term is twice the previous term.which function models this sequence

Answers

Hello,

10,20,40,80,....,
u_(0)=10
u_(n+1)=2*u_(n)

function is y=2x



Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

=

The sixth graders at jenna's school got to visit either the science museum or the history museum. 32 students picked the science museum and 16 picked the history museum. What is the ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum?

Answers

The ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum is 2 : 1.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The sixth graders at Jenna's school got to visit either the science museum or the history museum. 32 students picked the science museum and 16 picked the history museum.

∴  The ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum

History museum : Science museum = 32 : 16.

History museum : Science museum = 2 : 1.

For every 2 students go to the science museum, 1 student goes to the history museum.

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Answer:

The ratio is 16:32 or 1:2. this is because 16 times 2 is 32.

Hope this helped! Please mark me brainliest if I am correct! Thank you and have a great day!

Step-by-step explanation:

how do I solve p-2 over 3 = 5 over 8?


Answers

(p-2)/(3)=(5)/(8)\ /\cdot24\n\n24\cdot(p-2)/(3)=24\cdot(5)/(8)\n\n8(p-2)=3\cdot5\n\n8p-16=15\n\n8p=15+16\n\n8p=31\ /:8\n\np=(31)/(8)\n\np=3(7)/(8)

Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?Which math sentence represents the problem?

Two-thirds divided by 10 = 20/30=1/15
10 divided by two-thirds = 30/2=15
10 divided by three-halves = 20/3] 6 and two-thirds
1/10 divided by two-thirds = 3/20

Answers

Marlene needs 15 paper cups to fill with water

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:

Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15

Marlene needs 15 paper cups to fill with water.

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