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3 years ago

Evaluate the expression below by finding the quotient. 23 ÷ (-2) -16÷ 4

Mathematics

1 answer:

Readme [11.4K]3 years ago

8 0

Answer:

-11.5

-4

Step-by-step explanation:

23 ÷ (-2) = -11.5

-16 ÷ 4 = -4

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juan has 48 stamps and 36 stickers. he wants to glue the same number of stamps and the same number of stickers onto 6 pages in h

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14 is the answer, here's how: do 48+36 and get 84 and divide that by 6 and get 14.

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4 years ago

According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates

Salsk061 [2.6K]

Answer:

a) $P(X\geq 11) = 0.198$

b) $P(X\leq 2) = 0.000565$

c) Mean = 8.8

Step-by-step explanation:

1) Previous concepts

Binomial Distribution is a "discrete probability distribution which is used to calculate the probabilities for the independent trials and for each trial there is only two outcomes success or failure and probability for each success remains constant throughout each trial".

The Binomial distribution is a type of Bernoulli experiment with following properties:

a)There are two possible outcomes; success or failure.

b) Outcomes are independent on preceding result of a trial.

c) The probability of success remains constant throughout the experiment.

d)The number of successes are fixed.

The probability mass function for the Binomial distribution is given by:

$P(X=a)=(nCa)(p)^x (1-p)^{n-x}$

Where $p$ is the probability of success, n the number of trials and x the number of successes that we want on the n trials.

$X$ represent the number federal inmates that are serving time for drug dealing

$p=0.55$ represent the proportion of federal inmates that are serving time for drug dealing

$n=16$ random sample selected

2) Part a

The random variable X follows this distribution $X \sim Binom(n,p)$

On this case we want the following probability, and since says greater or equal than 11 we can express like this:

$P(X \geq 11)=P(X=11)+P(x=12)+P(x=13)+P(x=14)+P(x=15)+P(x=16)$

$P(X=11)=(16C11)(0.55)^{11} (1-0.55)^{5} =0.112$

$P(X=12)=(16C12)(0.55)^{12} (1-0.55)^{4} =0.0572$

$P(X=13)=(16C13)(0.55)^{13} (1-0.55)^{3} =0.0215$

$P(X=14)=(16C14)(0.55)^{14} (1-0.55)^{2} =0.00563$

$P(X=15)=(16C15)(0.55)^{15} (1-0.55)^{1} =0.000918$

$P(X=16)=(16C16)(0.55)^{16} (1-0.55)^{0} =0.00007011$

$P(X \geq 11)=0.112+0.0572+0.0215+0.00563+0.000918+0.00007011=0.198$

3) Part b

$P(X \leq 2)=P(X=0)+P(x=1)+P(x=2)$

$P(X=0)=(16C0)(0.55)^{0} (1-0.55)^{16} =0.00000283$

$P(X=1)=(16C1)(0.55)^{1} (1-0.55)^{15} =0.0000552$

$P(X=2)=(16C2)(0.55)^{2} (1-0.55)^{14} =0.000507$

$P(X \leq 2)=0.00000283+0.0000552+0.000507=0.000565$

4) Part c

The expected value for the binomial distribution is given by the following formula:

$E(X)=np=16*0.55=8.8$

So then the average number of federal inmates that are serving time for drug dealing on a sample of 16 is approximately 9.

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3 years ago

If 12% of n is 30, what is 24% of <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%7D%7B5%7D%20" id="TexFormula1" title=" \f

vagabundo [1.1K]

If you add 12% + 12%= 24% you can just double 30 making the answer 60

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3 years ago

Simplify. Enter your answer in simplest radical form

Oxana [17]

7 sqrt(16*2) - 6 sqrt( 36*2)

7*4sqrt(2) - 6*6sqrt(2)

28sqrt(2) - 36 sqrt(2)

-8sqrt(2)

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3 years ago

What is an equation of a line with slope 0 and y-intercept 5?

alina1380 [7]

Slope Intercept Formula
Y=mx+b
y=0x+5

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3 years ago

Evaluate the expression below by finding the quotient. 23 ÷ (-2) -16÷ 4​

Evaluate the expression below by finding the quotient. 23 ÷ (-2) -16÷ 4