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3 years ago

The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes.

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answer:

cadernretes

Step-by-step explanation:

4.345. 7.77)

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Can someone help I need this asap

balu736 [363]

Answer:

Step-by-step explanation:

Total number of students =100

Number who bought pop corn = 62

Number who bought drinks = 47

Number who bought both =38

Hence number who did not purchase anything = 100-(62+47-38)

=29

Prob that students buys a drink = 47/100 = 0.47

PROB THAT THE student buys a drink/he purchsaed pop corn

= Number for both/number of pop corn

=38/62 =0.613

P(buying pop corn) = 0.62 and P(drink) = 0.47

Product of these = 0.62*0.37=0.2356

Thus we find product is not equal to Prob of purchsing both

Hence cannot be independent

4 0

3 years ago

A system has one each of two different types of components in joint operation. Let X and Y denote the random lengths of the live

RSB [31]

Answer:

The value of E(Y/X) is 2.

Step-by-step explanation:

As the complete question is not given, thus the complete question is found online and is attached herewith.

So the joint density function is given as

$f(x,y)=\left \{ {{\dfrac{x}{8}e^{-\dfrac{x+y}{2}} \,\,\,\,0 \leq x,0\leq y \atop {0}} \right.$

So the marginal function for X is given as

$f_x=\int\limits^{\infty}_0 {f(x,y)} \, dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x+y}{2} }dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x}{2}}e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{8}e^{-\frac{x}{2}}\int\limits^{\infty}_0e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{4}e^{-\frac{x}{2}}$

Now

$f(Y/X)=\dfrac{f(X,Y)}{f(X)}\\f(Y/X)=\dfrac{\dfrac{x}{8}e^{-\frac{x+y}{2} }}{\dfrac{x}{4}e^{-\frac{x}{2}}}\\f(Y/X)=\dfrac{1}{2}e^{-\frac{y}{2} }$

Now the value of E(Y/X) is given as

$E(Y/X)=\int\limits^{\infty}_0 {yf_{Y/X}} \, dy \\E(Y/X)=\int\limits^{\infty}_0 {y\dfrac{1}{2}e^{-\frac{y}{2} } }\, dy\\E(Y/X)=\dfrac{1}{2}\dfrac{\sqrt{2}}{(\dfrac{1}{2})^2}=2$

So the value of E(Y/X) is 2.

3 0

3 years ago

The vertex formation of a parabola is x = 8(y- 1)2-76.

Gennadij [26K]

Answer:

$\boxed{x=8y^2-16y-68}$

Step-by-step explanation:

Hello, please consider the following.

$x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0

4 years ago

Read 2 more answers

Please help me<br> Sooo confused!!!

SashulF [63]

Well let's say x = -1000
That's what I would do

8 0

3 years ago

Read 2 more answers

There are two numbers such that , if both of them are individually increased by 5 and then by the same percentage as they were i

QveST [7]

Let the two numbers be x and y.
Let m = the fraction (or percentage) for increasing the numbers.

Increase x by 5, multiply (x+5) by (1+m), and set it qual to 36.
(x + 5)*(1 + m) = 36

Increase y by 5, multiply (y+5) by (1+m), and set it equal to 36.
(y+5)*(1+m) = 36

Therefore
(x+5)*(1+m) = (y+5)*(1+m)
x + 5 = y + 5
x = y
x - y = 0

Answer: 0.
The difference between the two numbers is zero.

5 0

4 years ago