MATHEMATICS COLLEGE

There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?

Answers

Answer 1

Answer:

Answer:

3/8

Step-by-step explanation:

add 5+1+3=9

and there is 3 cheese pizza so its 3 over 8.

Answer 2

Answer:

Answer:

3/9

Step-by-step explanation:

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if you are just given the two points it is the same formula. Find the midpoint between the points (4,−5) and (−4,5).

Answers

Answer:

$M = (0,0)$

Step-by-step explanation:

Given

$(4,-5)$ and $(-4,5)$

Required

The midpoint (M)

This is calculated as:

$M = (1)/(2)(x_1 + x_2,y_1+y_2)$

So, we have:

$M = (1)/(2)(4-4,-5+5)$

$M = (1)/(2)(0,0)$

$M = (0,0)$

What is the answer hurry please
36k = -9

Answers

Answer:

k=-0.25

Step-by-step explanation:

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

D. F(x) = 2(x-3)^2 + 3

Step-by-step explanation:

We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)

We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.

The graph of F(x) shown is facing up, so we know that it is multiplied by a positive number. This means we can eliminate A and C because they are both multiplied by -2.

Our two equations left are:

B. F(x) = 2(x+3)^2 + 3

D. F(x) = 2(x-3)^2 + 3

Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.

y = 2(3+3)^2 + 3 =

2(6)^2 + 3 =

2·36 + 3 =

72 + 3 =

That one didn't give us a y value of 3.

y = 2(3-3)^2 + 3 =

2(0)^2 + 3 =

2·0 + 3 =

0 + 3 =

This equation gives us an x-value of 3 and a y-value of 3, which is what we wanted, so our answer is:

D. F(x) = 2(x-3)^2 + 3

Hopefully this helps you to understand parabolas better.

A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let Xrepresent the number of occupants in a randomly chosen car.a. Find the probability mass function of X.

b. Find P(X ≤ 2).

c. Find P(X > 3).

d. Find μX.

e. Find σX

Answers

Answer:

a) X 1 2 3 4 5

P(X) 0.7 0.15 0.10 0.03 0.02

b) $P(X \leq 2) = P(X=1) +P(X=2) = 0.7+0.15=0.85$

c) $P(X >3) = 1-P(X \leq 3) = 1-[P(X=1) +P(X=2)+P(X=3)]=1-[0.7+0.15+0.1]= 0.05$

d) $E(X) = \sum_(i=1)^n X_i P(X_i) = 1*0.7 +2*0.15+ 3*0.1+4*0.03+ 5*0.02= 1.52$

e) $E(X^2) = \sum_(i=1)^n X^2_i P(X_i) = 1*0.7 +4*0.15+ 9*0.1+16*0.03+ 25*0.02=3.18$

$Var(X) = E(X^2) -[E(X)]^2= 3.18- (1.52)^2 = 0.8996$

$\sigma= √(Var(X))= √(0.8996)= 0.933$

Step-by-step explanation:

Part a

From the information given we define the probability distribution like this:

X 1 2 3 4 5

P(X) 0.7 0.15 0.10 0.03 0.02

And we see that the sum of the probabilities is 1 so then we have a probability distribution

Part b

We want to find this probability:

$P(X \leq 2) = P(X=1) +P(X=2) = 0.7+0.15=0.85$

Part c

We want to find this probability $P(X>3)$

And for this case we can use the complement rule and we got:

$P(X >3) = 1-P(X \leq 3) = 1-[P(X=1) +P(X=2)+P(X=3)]=1-[0.7+0.15+0.1]= 0.05$

Part d

We can find the expected value with this formula:

$E(X) = \sum_(i=1)^n X_i P(X_i) = 1*0.7 +2*0.15+ 3*0.1+4*0.03+ 5*0.02= 1.52$

Part e

For this case we need to find first the second moment given by:

$E(X^2) = \sum_(i=1)^n X^2_i P(X_i) = 1*0.7 +4*0.15+ 9*0.1+16*0.03+ 25*0.02=3.18$

And we can find the variance with the following formula:

$Var(X) = E(X^2) -[E(X)]^2= 3.18- (1.52)^2 = 0.8996$

And we can find the deviation taking the square root of the variance:

$\sigma= √(Var(X))= √(0.8996)= 0.933$

11.) Write each ratio as a fraction in simplest form. Then explain its meaning. 1 pointtriangles to rectangles
Pour answer
I

Answers

Answer:

Step-by-step explanation:

ffh

Find the discount on a leather recliner with a regular price of $260 if the recliner is 30% off. What is the sale price of the recliner?The discount on the leather recliner is

Answers

260x 30% = 78
260-78=$182
The sale price of the recliner is $182
The discount on the leather recliner is $78

It is 182, hope this helps!

Other Questions

You have just completed an experiment measuring the length (in mm) of 12 soybean plants after 3 days of sprouting. The measurements are listed below:53 47 51 54 43 39 61 57 55 46 44 43If you doubled every measurement in this dataset (e.g., 106, 94, 102, ...), what would the new IQR equal? (Think about the SD too!)

Which expression can be used to determine the product of -4 and 3 1/4

Find the following for the function f(x) = 3x2 + 4x - 4.(a) f(0)(e) - f(x)(b) f(3)(f) f(x+3)(c) f(-3)(g) f(3x)(d) f(-x)(h) f(x+h)(a) f(0) = (Simplify your answer.)(b) f(3) = (Simplify your answer.)(c) f(-3)=(Simplify your answer.)

B) How many prime numbers are multiplesof 8?