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Feliz [49]
3 years ago
5

Abby wants to put a pencil in a cylinder-shaped container. The pencil is six inches long and the case is five inches tall with a

diameter of two inches. will the pencil fit diagonally in the case?
Solve it. Show work please
Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0
Yes. I don't understand how to explain it but it is yes. I will give a example to help explain to see if it will help. If a stick is 8 inches the storage container is 7 and has a diameter of 2+ it will fight the two inches adds 1 inch to the case if you are putting something diagonally.
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What is 5.97 rounded to the nearest tenth? Anything can help I’m late on homework
Elina [12.6K]

Answer:

6

Step-by-step explanation:

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3 years ago
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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
Solve 7 + x - 15 = -2 2/3 Please help!!! show your work please!
Margaret [11]
Firstly let’s make the -2 2/3 easier

-2*2/3= -4/3

Then we will move all the numbers to one side and keep the x on the other side. Remember when u move a negative from one side of the equal sign it changes to positive and if u move a positive it changes to a negative.

X= -4/3+15-7
=-4/3+8
=-4/3+24/3 (To add fractions the denominator has to be the same, and 24/3 is the same as 8)

X=20/3

Hopefully this helps
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Which of the following is a true statement about the triangles shown on the graph
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It's D. Slopes are the same, because if you divide opposite and adjacent side of both triangles, you get the same result. Count the squares, for the smaller triangle it's 2/2=1 and for the bigger one it's 4/4=1.
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A number and +7 is less than or equal to nine
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7 is less than nine
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