MATHEMATICS HIGH SCHOOL

Pizza Time has collected data about customer pizza topping preferences. They have calculated that P(pepperoni) = 0.7, P(olives) = 0.6, and P(pepperoni or olives) = 0.8. Determine the P(pepperoni and olives).A.0.5

B.0.6

C. 0.7

Answers

Answer 1

Answer:

Answer:

Option A is correct that is $.5=P(A\capB)$

Step-by-step explanation:

We have given probabilities

P(pepperoni)=0.7

P(olives)=0.6

P(pepperoni or olives)=0.8

We need to find the probability of pepperoni and olives

We have a formula

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Here we have say A is the event of peperroni tha is $P(A)=0.7$

B is the event of olives that is $P(B)=0.6$

pepperoni or olives that is is $P(A\cup B)=0.8$

Pepperoni and olives that is $P(A\cap B)$ we have to find

On substituting the values in the formula we will get

$0.8=0.7+0.6-P(A\cap B)$

$0.8=1.3-P(A\cap B)$

$-.5=-P(A\cap B)$

$.5=P(A\cap B)$

On simplifying the equation we will get

$.5=P(A\cap B)$

Therefore, Option A is correct.

Answer 2

Answer: The answer would be 0.5. This is because the sum off Olives and Pepperoni is 0.13 and the number of those people who choose Pepperoni or Olives is only 0.8. Thus, the remaining number is now on Pepperoni and olives.

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What is 2072 divided by 86
-7 - 7 ( 8x - 7 ) = - 19 + 5x

The figures shown are similar.What is the scale factor?

A.

2/3
B.
1/4

C.
3/4

D.
1/6

Answers

Well first off here we know that one of the figures here is 24 and the other one is 18 so immediatly we can make a fraction out of this by putting the bigger number on the bottom as the denominator and the smaller number on the top as the numerator like so 18/24 we also know that this fraction can easily be simplified like so 3/4 (because 6 goes into each of them evenly) so the scale factor of these 2 figures is 3/4 or C.Enjoy!=)

Is this right? isn't the Directly proportional equation this. x=(1/k)y

Answers

It's y=kx. But 'k' is any constant. So my 'k' can easily be 1/(your k). The key is that when 'x' or 'y' increases by some factor, the other one also increases, by some constant multiple of the same factor. If so, then they're proportional.

If a = -2, b= -5, and c = -6, then a - b + c =

(Hint: NOT -1 or -13)

Answers

Answer:

-3

Step-by-step explanation:

= -2-(-5)+-6

= -2-(-5)-6

= -2--5-6

= -2+5-6

= -3

Amaya ran for president of chess club, and she received 18 by this. There were 30 members in the club. What percentage of the club members voted for Mýa HELP PLEASE

Answers

60%.
18/30 =3/5 =60/100 =60%

Find the area of the circle. Round your answer to two decimal places, if necessary.

Answers

Final answer:

To find the area of a circle, use the formula A = πr^2. Identify the radius and substitute it into the formula to calculate the area. Round the answer to two decimal places if necessary.

Explanation:

To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius of the circle. Start by identifying the radius of the circle, which is the distance from the center to any point on the circumference. Once you have the radius, substitute its value into the formula and calculate the area. Make sure to round your answer to two decimal places if necessary. For example, if the radius of the circle is 5 units, the area would be A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square units.

Learn more about Area of circle here:

brainly.com/question/36846754

#SPJ3

Answer: 200.96 cm

Step-by-step explanation:

Area of a circle: $A=\pi r^2$

Since we don't have the radius, we have to find it.

What you gave me is the diameter which is 16 (cm) I suppose.

Radius is half the diameter. Therefore we can divide the diameter by 2 to find the radius.

16/2=8cm

This is our radius.

Plug this into the area formula.

$A=\pi r^2\nA=(3.14)(8)^2\nA=200.96cm$

You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in the drawing.b. A sofa in the room has a length of 6 feet.Find the length of the sofa in thedrawing.c. You want to enlarge the scale drawing.How would you change the scale todouble the dimensions of the drawing?Explain.

Answers

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = $(length on a drawing)/(actual length)$

scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

$(14)/(4)$ = 3.5 inches

$(18)/(4)$ = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

$(6)/(4)$ = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

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