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3 years ago

When x > 0 and a is a postive integer, the expression (5x)^a/3 is equivalent to?

Mathematics

2 answers:

Stells [14]3 years ago

7 0

Answer:

5^ax^a/3

Step-by-step explanation:

Mama L [17]3 years ago

6 0

Answer:

Step-by-step explanation:

i don't know man i just need the points!

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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.

5 0

3 years ago

Write the number 3.8 x 10-4 in standard form.

VashaNatasha [74]

Answer:

0.00038.

Step-by-step explanation:

The exponent is negative 4 so the 3 goes into the 4th place after the decimal point.

3 0

3 years ago

Iwan earns $8 each time he walks his neighbor's dog. He already walked the dog 5 times. How many more times does he need to walk

seropon [69]

Answer:

about 3 times

Step-by-step explanation:

8 X 5 = 40 dollars

88 divided by 40 is 2.2

7 0

3 years ago

Read 2 more answers

A triangular prism has a base edges 2cm, 4cm, and 5cm long. It’s lateral area is 231cm . What is the height of the prism

xenn [34]

Answer:

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0

3 years ago

Help me on this pleaseee

kvv77 [185]

The answer would be B

7 0

3 years ago