Select the correct solution for the expression. 2 5 + 3 8

I've searched everywhere and still don't have the answer!

Arisa [49]

Answer:

is a function and begins with y

Step-by-step explanation:

6 0

3 years ago

USA Today reported that about 20% of all people in the United States are illiterate. Suppose you take eight people at random off

Law Incorporation [45]

Answer:

a) Figure and code attached

b) $E(X)=\mu = np = 8*0.2= 1.6$

$Var(X) =\sigma^2= np(1-p) = 8*0.2*(1-0.2) = 1.28$

$Sd(X)=\sigma= \sqrt{1.28}= 1.131$

c) $P(X\geq 7) =0.97$

And we can calculate this with the complement rule.

$P(X \geq 7) = 1-P(X$

So then we have:

$P(X \leq 6) = 0.03$

And we are interested on the valueof n who satisfy this expression.

And for this we can verify this with the following code:

"=BINOM.DIST(6,E54,0.2,TRUE)"

And as we can see on the second figure attached the value who satisfy the condition would be n = 60.

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=8, p=0.2)$

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

We can use the following R code to generate the histogram for this case:

> x <- seq(0,8,by = 1)

> y <- dbinom(x,8,0.2)

> plot(x,y,type = "h",main="Histogram")

And as we can see we got the result on the figure attached. And the distribution seems to be skewed to the right.

Part b

For this case the expected value is given by:

$E(X)=\mu = np = 8*0.2= 1.6$

The variance is given by:

$Var(X) =\sigma^2= np(1-p) = 8*0.2*(1-0.2) = 1.28$

And the standard deviation would be:

$Sd(X)=\sigma= \sqrt{1.28}= 1.131$

Part c

For this case we have the following inequality:

$P(X\geq 7) =0.97$

And we can calculate this with the complement rule.

$P(X \geq 7) = 1-P(X$

So then we have:

$P(X \leq 6) = 0.03$

And we are interested on the valueof n who satisfy this expression.

And for this we can verify this with the following code:

"=BINOM.DIST(6,E54,0.2,TRUE)"

And as we can see on the second figure attached the value who satisfy the condition would be n = 60.

5 0

3 years ago

Please Help for both 6 and 7. I’m confused on both. Please show Explanation. Will Select Brainliest.

krek1111 [17]

answer: 32, 72

question 6

angle PQR and 148 are supplementary angles, so they add up to 180

PQR + 148 = 180

PQR = 180 - 148 = 32

question 7

in triangle RTS, all three angles must add up to 180

angle R = angle PQR = 32

angle S = 180 - 104 = 76 (because of supplementary angles)

angle T = angle RTS (we need to find this)

32 + 76 + angle RTS = 180

angle RTS = 72

8 0

3 years ago

A sum of money was to be shared among three friends,Albert,Micheal,Moses in the ratio 3:5:6.if Micheal receives $45,find the sum

kirza4 [7]

Answer:

The sum of the money shared is $1372

Step-by-step explanation:

The given ratio is

Albert:Michael:Moses=3:5:6

The total ratio is 3+5+6=14

Let the sum of money shared be $x.

Then Albert's share = 3/14 x $x$ = 3 $x$ / 14

Michal's Share = 5x/14

If Michael received $196 more than Albert, then the difference between their share is the $196.

7 0

3 years ago

Write an equation, solve and show all work.

AnnZ [28]

Answer:

56.

Step-by-step explanation:

46+10=56

3 0

3 years ago