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2 years ago

You have 1 and 1/2 rolls of Dimes each roll of Dimes is equal to $5 what will your total deposit be

Mathematics

1 answer:

Molodets [167]2 years ago

4 0

Answer: 7.5 dollars. Also known as 7.50

Step-by-step explanation: 1 roll is 5 dollars. You have 1 and a half rolls. So five, plus 2.5 (five divided into half). 7.5 dollars.

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The route for one day of a charity bike ride covers 50 miles. Individual participants ride this distance at different average sp

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How many cubic feet are in a carton measuring 6 feet, 8 inches by 3 yards by 4.5 inches?

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3 years ago

5. Janna and Laura broke a six-inch candy bar in half to share with each

kobusy [5.1K]

Answer:

3 inches

Step-by-step explanation:

6 divded by 2 (or in half ) is 3

4 0

2 years ago

Read 2 more answers

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counse

pychu [463]

Answer:

a) $P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

b) $E(X) = np = 4*0.75=3$

c) $Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

d) $P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

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:

$X \sim Binom(n=4, p=1-0.25=0.75)$

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:

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

Part a

$P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

Part b

The expected value is givn by:

$E(X) = np = 4*0.75=3$

Part c

For the standard deviation we have this:

$Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

Part d

For this case the sample size needs to be higher or equal to 9. Since we need a value such that:

$P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

We can verify this using the following code:

"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.

4 0

3 years ago

10 POINTS!! HURRY FAST! FIND THE BASE AND HEIGHT BASED ON THE AREA!! FIRST CORRECT ANSWER GETS 10 POINTS

Marina CMI [18]

Answer:

height = 7.78 mm, while base = 31.11

Step-by-step explanation:

First, create the equation "4x^2=242." After doing this, solve for x. Once you do this, you will find x as 7.78. The x value is your height. To find the base, multiply height by 4.

3 0

2 years ago

What is the prime factorization of 24?

Gelneren [198K]

Answer:

2 x 2 x 2 x 3, so its E

Step-by-step explanation:

3 0

2 years ago