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3 years ago

Arithmetic series HELP PLEASE

Mathematics

2 answers:

KIM [24]3 years ago

5 0

Answer:

5050

Step-by-step explanation:

∑_{n=1 to 50} (4n-1)

a1=4×1-1=3

a2=4×2-1=7

a3=4×3-1=11

......................

a50=4×50-1=199

n=50

Sn=n/2(a1+an)

S50=50/2(3+199)=50/2×202=50×101=5050

otez555 [7]3 years ago

3 0

Put the value of n from 1 to 50 in 4n-1

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Each cube in the prism is one cubic unit. What is the volume of this rectangular prism?

Oksanka [162]

Answer:

I think the answer would be 120 cm3 .

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3 years ago

PLEASE HELP FOR 5 STAR AND BRAINLIST TYSM

victus00 [196]

Answer:

Step-by-step explanation:

1) 792÷ 36=22

2) 1/2 ÷ 3 = 1/6

3) D

4) its 10,00 cause 7.741 x 10 = 77,410

5) the answer in decimal is 60.089

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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

What is 9.375 Rounded to the nearest hundredth

stiks02 [169]

Note the hundredth place value (underlined and bolded):

9.375

Look at the number to the right of the hundredth place value. It is a 5. Because you round up if the number is 5 or greater, you round up in this case (you round down if it is 4 or less).

9.375 rounded to the nearest hundredth is 9.38

3 0

3 years ago

Read 2 more answers

If the given ordered pair equal then find value of x and y (3x+5)=(x+2) and (4y+7)= (y+3)

Yanka [14]

Answer:

3x+5 =x+2

3x-x=2-5

2x= –3

x=-3/2

4y+7=y+3

4y–y =3-7

3y=–4

y= —4/3

7 0

2 years ago