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3 years ago

6

jim is reading a 303 page book hes already read 87 pages if he can read 12 pages in an hour how many more hours will it take him

to finish the book

1 answer:

Ne4ueva [31]3 years ago

3 0

You would do 303 subtract 87. you get 216. 216/12 = 18 therefore it takes him 18 hours

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Complete. What is the Original Price?

Pani-rosa [81]

90 80% disocunt so what you do is divide that then let me know what you got

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2 years ago

Read 2 more answers

What is x in this equation −4.5= −0.5(x − 7.1)

Umnica [9.8K]

Answer:

x=16.1

Step-by-step explanation:

$-4.5= -0.5(x -7.1)$

Divide both sides by -0.5

$9=x-7.1$

Add 7.1 to both sides

$16.1=x$

Hope this helps!

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3 years ago

HELP ME ASAP!!!!!!!!!!

gtnhenbr [62]

Answer:

Step-by-step explanation:

Part A: 15

Part B: $125

7 0

2 years ago

Please help!!! 20 points

V125BC [204]

Answer:

A) x = (-8log(6)-2log(17))/(-2log(17)+log(6))

Step-by-step explanation:

Taking the logarithm of the equation, you have ...

(x+8)log(6) = (2x-2)log(17)

Subtracting the right side from the equation gives ...

x(log(6) -2log(17)) +8log(6)+2log(17) = 0

Subtracting the constant and dividing by the coefficient of x gives ...

x = -(8log(6) +2log(17))/(log(6) -2log(17)) . . . . . matches selection A

___

You don't need to work out the whole solution to determine the correct answer choice. Once you take the initial log, you find that the x-coefficient includes a multiplier of 2log(17). This term only appears in the denominator of choice A. (The value of x will be found after dividing by the x-coefficient, so you know this must show up in the denominator of the answer.)

6 0

3 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.

4 0

3 years ago