MATHEMATICS
HIGH SCHOOL

Answer:

84%is the answer to this question

COLLEGE

A man claims to have extrasensory perception. As a test, a fair coin is flipped 28 times, and the man is asked to predict the outcome in advance. He gets 25 out of 28 correct. What is the probability that he would have done at least this well if he had no ESP?

Answer:

Using the probability mass function we got:

And adding the probabilities we got:

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

Solution to the problem

For a fair coin flip n=28 times we have the following distribution:

We want to find this probability:

Using the probability mass function we got:

And adding the probabilities we got:

MIDDLE SCHOOL

chuck has a coin collection with 30 pennies,24 quarters,and 36 nickles. he wants to arrange the coins into rows. each row will have the same number of coins,and all the coins in a row will be the same . how many coins can he put in each row?

Find the GCF

30-1,2,3,5,6,10,15,30

24-1,2,3,4,6,8,12,24

36-1,2,3,4,6,9,12,16,36

Then you divide all the numbers by the GCF which is 6

6 pennies

4 quarters

6 nickels

30-1,2,3,5,6,10,15,30

24-1,2,3,4,6,8,12,24

36-1,2,3,4,6,9,12,16,36

Then you divide all the numbers by the GCF which is 6

6 pennies

4 quarters

6 nickels

MIDDLE SCHOOL

Is the square root of 45 rational or irrational

Answer:

Irrational

Step-by-step explanation:

Since there is no integer that can be multiplied by itself to make 57, the square root of 57 is irrational. (T/F): The square root of 45 is a rational number. False. EXPLANATION: Only perfect squares have rational square roots.

The correct answer is irrational

HIGH SCHOOL

(4*10^8)^ simplify expression write in scientific notation 1.6*10^7

16*10^16

8*10^17

1.6*10^16

Question asked:

Solve:

=160000000000000000

Turn to scientificnoation:

1.6 * 10^17

Final answer: A 1.6*10^7

Solve:

=160000000000000000

Turn to scientificnoation:

1.6 * 10^17

Final answer: A 1.6*10^7

Answer:

a

Step-by-step explanation:

HIGH SCHOOL

Olga purchases a rectangular mirror (the shaded region) that fits exactly inside a frame. The outer perimeter of the frame measures 60 cm by 80 cm. The width of each side of the frame is 10 cm. What is the area of the mirror?

Answer:

2,400cm^2

Step-by-step explanation:

This is quite an interesting question.

Now, we know the frame measures 60 by 80. We also know that the thickness of the frame is 10cm in length. Hence from the side of the mirror to the other side of the frame is 10cm.

We have the 10cm on each side of the frame. Making a total of 40cm and 20cm each allowance on the length and breadth of the mirror. The length and breadth of the mirror is thus 40cm by 60cm.

The area of a rectangle is L * B

The area of the mirror is 40 * 60 = 2,400cm^2

The fact that the width of each side of the frame is 10 cm means that each side of the mirror is 20 cm smaller than the corresponding side of the frame. Therefore, the mirror measures 40 cm by 60 cm, with an area of 2400.

HIGH SCHOOL

A rectangular picture measuring 5 in. by 9 in. is surrounded by a frame with uniform width x. Write a quadratic function in standard form to show the combined area of the picture and fram

A=(5+2x)(9+2x)

A=45+10x+18x+4x^2

A=4x^2+28x+45

A=45+10x+18x+4x^2

A=4x^2+28x+45

(x.x)-(5x9)= Combined area of the picture and frame.

MIDDLE SCHOOL

The fastest texter in the world is Ben Cook who typed a 160-letter messge in about 40 seconds. How many letters can Ben text in a second? How many letters in a minute.

Ben can type 4 letters in a second (160 divided by 40 is 4) . He can type 240 letters in a minute (4 times 60 is 240).

4 in a second and 240 in a minute

COLLEGE

Two times a number plus one equals four times the same number minus five. what is the number

30 I believe good night

COLLEGE

Which of the following groups of numbers are all prime numbers? A. 3, 11, 23, 31 B. 2, 3, 5, 9 C. 2, 5, 15, 19 D. 7, 17, 29, 49

A because 9 is not prime in answer B, 15 is not prime in answer C, and 49 is not prime in answer D. So the correct answer is A.

I think it is A. or D