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shusha [124]
3 years ago
11

PLZ HELP ME ASAP! 12 POINTS 

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0
X = # 5 inch stones, y = # 10 inch stones

5x + 10y = 145
y = x + 1

5x + 10(x + 1) = 145
5x + 10x + 10 = 145
15x = 135
x = 135/15
x = 9 <=== 9 five inch stones

y = x + 1
y = 9 + 1
y = 10 <=== 10 ten inch stones


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For X a binomial random variable with n=5 and p=1/4, answer the following
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Recall that for X\sim\mathrm{Bin}(n,p), i.e. a random variable X following a binomial distribution over n trials and with probability parameter p,

\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}

So you have

\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26

\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)
=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}
=\dfrac{375}{1024}\approx0.37

The expected value of X\sim\mathrm{Bin}(n,p) is simply np, while the standard deviation is \sqrt{np(1-p)}. In this case, they are \dfrac54=1.25 and \sqrt{\dfrac{15}{16}}\approx0.97, respectively.
7 0
3 years ago
Anyone know how to do this?
sergiy2304 [10]

Answer:

11

Step-by-step explanation:

We need 60 dollars, we have 16

60-16 = 44

We need to earn 44 more dollars

At 4 dollars a pound

The money earned = lbs * dollars per pound

44 = lbs *4

Divide each side by 4

44/4 = lbs

11 = lbs

We must sell 11 more lbs

4 0
3 years ago
A plant is 20 inches tall. If the plant grows 2h inches each week for the next 4 weeks, and h inches for each of the 2 weeks aft
FromTheMoon [43]
A) 20+10h

You know that you have 20 inches to start with, then it will grow 2h four times, or 8h total. Then it will grow h 2 times, or 2h. You add the 20, 8h, and 2h, to get 20+10h.

Hope this helps!
3 0
3 years ago
Read 2 more answers
The library is designing a book display with fiction books 28 biographies and 40 non fiction books. Each shelf will have only on
Rufina [12.5K]
If the question is how many shelves are needed, then the answer is 18 shelves.
3 0
3 years ago
PLS HELP THIS IS LAST OF MY POINTS AND RUNNING OUT OF TIME. ANSWER ONLY IF U KNOW MATH.
ipn [44]

Answer:

using y=mx +c

c=0

m=y2-y2/x2-x1

m=16-0/2-0

m=8

y=8x+0

y=8x

hope that helped

if yes give me brainliest and if no draw my attention by hitting the comment section

7 0
3 years ago
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