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3 years ago

Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?

Mathematics

2 answers:

serg [7]3 years ago

5 0

Sense there is 3 students they can line up in 6 different orders

marusya05 [52]3 years ago

4 0

9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.

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The four swimmers listed in the table are trying out for the swim team. Two will make the team. How many different combinations

ratelena [41]

Number of possible combinations = (4x3) ÷ 2 = 6

Answer: There are 6 possible combinations.

8 0

3 years ago

HELP giving brainlest and more points

Aleksandr [31]

Answer:

the answer is 7.2 10³

Step-by-step explanation:

7.2 10³

6 0

2 years ago

Read 2 more answers

Can someone please help me with the “Challenge” question??

IRINA_888 [86]

Answer:

12.5

Step-by-step explanation:

A 10x10 grid would have 100 units. If you divide it into 8 equal units you would do:

100 / 8

Which gets you, 12.5

4 0

2 years ago

Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each

arlik [135]

Answer:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

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:

$X \sim Binom(n=10, p=0.65)$

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

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

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

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want to find this probability:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

5 0

3 years ago

Principle: $6500 Rate: 3%

Nikitich [7]

Answer:

Step-by-step explanation:

A)Initial amount deposited into the account is $6500 This means that the principal is P, so

P = 500

It was compounded daily. This means that it was compounded 360 times in a year. So

n = 360

The rate at which the principal was compounded is 3%. So

r = 3/100 = 0.03

It was compounded for 5 years. So

t = 5

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 6500 (1+0.03/360)^360×5

A = 6500 (1+0.00008333333)^360×5

A = 6500 (1.00008333333)^1800

A = $7551.70

B) The interest earned is Total amount earned - principal. It becomes

7551.7 - 6500 = $1051.7

6 0

3 years ago