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3 years ago

15

When asked to dilate a shape By a scale factor of 1/3 will the shape become larger or smaller?

1 answer:

MA_775_DIABLO [31]3 years ago

3 0

Answer:

Larger

Step-by-step explanation:

Dilate: make or become wider, larger, or more open.

Dilate means to grow in size.

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Given the data 12,39,21,18,24,17,12,25

andreyandreev [35.5K]

Answer:

12,39,21,18,24,17,12,25

Step-by-step explanation:

3 0

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.

4 0

3 years ago

Ralph is leasing a car worth $24,000 for three years. His leasing company says that the car Ralph is leasing will only be worth

atroni [7]

The answer is C.) 33% i believe. Excuse me if i'm wrong!!!!!

3 0

3 years ago

Read 2 more answers

dayo read 4/5th of a story book which has 500 pages. how many pages of the book is not yet read by dayo?

Nutka1998 [239]

1- 4/5=1/5; 1/5 •500=500/5=100

5 0

3 years ago

Describe how to evaluate the expression 3^2 + (21 - 9) X 6÷2. Can someone help me out, please? I'm having trouble, and my teache

mylen [45]

Answer:

$3^2+\left(21-9\right)\times \:6\div \:2=45$

Step-by-step explanation:

Given the expression

$3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2$

Follow the PEMDAS order of operations

$3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2$

calculate within parentheses $\:(21-9)=12$

$=3^2+12\times \:6\div \:2$

calculate exponents $3^2=9$

$=9+12\times \:6\div \:2$

Multiply and divide (left to right)

$=9+36$

Add and subtract (left to right) $12\times \:\:6\div \:\:2=36$

$=45$

Thus,

$3^2+\left(21-9\right)\times \:6\div \:2=45$

8 0

3 years ago