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3 years ago

When baking a cake, you have a choice of the following pans:

Mathematics

1 answer:

Lorico [155]3 years ago

8 0

Answer:

It is 6x9

Step-by-step explanation:

Simple match 9x6 54 and 7x2 14 well I would rather have 54 units of cake that 14 Lol

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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

SOLVE FOR BRAINLIEST PLEASE

grandymaker [24]

Answer:

x = 20

Explanation:

all the interior angles in the triangle is 180°

therefore:

4x - 17° + 71° + 46° = 180°

4x + 100° = 180°

4x = 180° - 100°

4x = 80°

x = 20°

3 0

2 years ago

Read 2 more answers

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose al

wariber [46]

Answer: Choise A and Choise B.

Step-by-step explanation:

Given the following expression:

$3x+3(x+y)$

You can simplify it in order to find equivalent expressions.

Appying the Distributive Property, you get:

$3x+(3)(x)+(y)(3)=3x+3x+3y$

So:

1. If you add the like terms, you get this equivalent expression:

$3x+3x+3y=6x+3y$

2. But if you factor out 3, you get the following equivalent expression:

$3x+3x+3y=3(x+x+y)$

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression $3x+3(x+y)$

6 0

3 years ago

Read 2 more answers

How do convert fluid ounces into quarts

34kurt

Quarts to fluid ounces volume units conversion factors are listed below. To find out how many ounces in quarts, multiply by the right factor or instead, use the converter below if converting between US fluid measurements.

6 0

2 years ago

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Write an equation of the line in slope-intercept form through the given points: (0, 2) and (3, 3).

dybincka [34]

The answer is y=1/3x+2

4 0

2 years ago