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3 years ago

Adrian made 3 carrot cakes .He cut each cake into fourths.How many 1/4size cake pieces does he have?

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

6 0

Multiply the reciprocal, which would me 4/1 times 3 and your answer would be 12!

Igoryamba3 years ago

3 0

3 divided by 1/4 =
3x4/1=12
Final Answer: Adren now has 12 pieces of carrot cake.

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A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not

Leno4ka [110]

The student is not correct.

Absolute value means distance from zero
|-9| = 9
|4| = 4

Since 9 is greater than 4,
|-9| is greater than |4|

In other words, -9 is further from zero then 4

5 0

3 years ago

(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!<br> a<br> b<br> c<br> d

tigry1 [53]

Answer:

greatest common factor is 2

Step-by-step explanation:

4k, 18k^4, 12

To find greatest common factor , we write each term in factor form

factors form are the product of the factor of given term

4k ---> 2 * 2* k

18k^2 ----> 3 * 3* 2* k*k

12 -----> 2*2*3

all the three terms has common factor 2

So GCf is 2

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

on friday,718 peoole went to school play.on saturday,822 people went.about how many oeople saw the play altogether

IrinaVladis [17]

About 1540 people saw the play

3 0

3 years ago

.Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses d

Vinil7 [7]

Answer:

8 roses

Step-by-step explanation:

1)18.69-5.25=13.44

because you are trying to find the cost of the roses

2)13.44/1.68=8

because you already know how much the roses cost for each rose and all together.

3 0

2 years ago