Josef ate 1/4 a pizza in 1/2 an hour. How much pizza would Josef eat in one hour?

Answers

Answer 1

Answer:

1/2 of the pizza is eaten in an hour. To get from 1/2 an hour to 1 hour, you multpily by 2. Multiply 1/4 by 2 to get 1/2.

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Find the sum of the multiples of 3 from 3 to 99 inclusive

Answers

Multiples of 3 from 3 to 99 inclusive is a Aritmetic Progression where:

a1 = 3
an = 99
r = 3

Using the formula of general terms:

$a_n=a_1+(n-1).r\n \n 99=3+3(n-1)\n \n 99-3=3n-3\n \n 3n=99\n \n n=33$

Calculating sum:

$S_(33)=(33(a_1+a_(33)))/(2)\n \n S_(33)=(33(3+99))/(2)=(33*102)/(2)=1683$

The probability that Shelly will go to a movie (event A) on Friday is 0.78, and the probability that Danielle will go to a movie (event B) the same day is 0.63. The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87. Which statement is true?
a. Events A and B are independent because P(A|B) ≠ P(A).
b. Events A and B are independent because P(A|B) = P(B).
c. Events A and B are dependent because P(A|B) = P(A) x P(B).
d. Events A and B are dependent because P(A|B) ≠ P(A).
e. Events A and B are dependent because P(A|B) = P(A).

Answers

The right answer for the question that is being asked and shown above is that: "c. Events A and B are dependent because P(A|B) = P(A) x P(B)."The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87.

Answer:

Events A and B are independent because P(A and B) = P(A) × P(B).

Step-by-step explanation:

plato/edmentum

Which of the following is not equivalent to the formula d = rt?

Answers

The second choice ... r = dt ... is not equivalent to the formula ' d = rt ' .

Each of the other choices IS equivalent to it.

Draw quick pictures and write to explain how to break apart addends to find the sum of 324 + 231

Answers

Answer: The explanation of the given addition is mentioned below.

Step-by-step explanation:

Since Here we have numbers 324 and 231.

So if we want to add these two numbers then at first we should add 4 and 1, That is 4+1= 5, which is the once place digit of our answer.

Now we should add 2 and 3 , that is , 2+3 =5 which is the tense place digit of our answer.

Finally we should add 3 and 2 the result is 3+2= 5 , which is the hundreds place digit of our answer.

Thus the complete result is 555.

Consider the graphs of f(x) and g(x). If g(x) = f(x)+k, find the value of k.

edit: added image

Answers

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

A game consists of randomly choosing a bag out of a choice of 100 and then again randomly,picking a ball from it. Each bag has the same total number of balls