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2 years ago

8

During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d

rink in total?

1 answer:

Leya [2.2K]2 years ago

6 0

5.5 cups, or 2.75 pints

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Terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in 2/3 the time it took terren

Luden [163]

Answer:

Charlotte-16

Step-by-step explanation:

In order to calculate the time that Charlotte took we just first have to calculate the time that Terrence took to finish the word search, that is done by multiplying the 32 minutes that Frank took by the three quartes that it took terrence:

$Time=(\frac{3}{4}) (32)\\Time=(\frac{96}{4})\\Time=24$

So now we know that It took terrence 24 minutes, and that Charlotte took two thirds of that time so we now just multiply that:

$Time=(\frac{2}{3}) (24)\\Time=(\frac{48}{3})\\Time=16$

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3 years ago

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Evaluate the expression

Neporo4naja [7]

Simplify the expression.

Exact form:

$\frac{476}{25}$

Decimal form:

19.04

Mixed Number Form:

$19\frac{1}{25}$

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2 years ago

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.

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2 years ago

Which pair of angles is a pair of corresponding?

Agata [3.3K]

Answer:

3 and 8 is a pair of corresponding.

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2 years ago

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A 16-ounce package of frozen vegetables costs $2.10. How much would you expect a 12-ounce package to cost?

statuscvo [17]

Hi!

We need to find the cost per ounce.
2.10/16 = 0.13125

It costs 0.13125 per ounce.

Now find the cost of 12 ounces.
12 * 0.13125 = $1.58

The answer is $1.58

Hope this helps! :)
-Peredhel

8 0

2 years ago

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