Lisa is in charge of planning a reception for 3600 people. She is trying to decide which snacks to buy. She has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results. Favorite SnackNumber of People

Brownies 32

Cookies 22

chips 56

other 65

Based on the above sample, predict the number of the people at the reception whose favorite snack will be chips. Round your answer to the nearest whole number. Do not round any intermediate calculations.

The expected number of the people at the reception whose favorite snack will be chips is 1152

Step-by-step explanation:

Given

The data in the above table and

Reception = 3600

Required

Predict the number of the people at the reception whose favorite snack will be chips.

The first step is to determine the total number of samples;

The next step is to determine the fraction of people whose favorite is chips

The product of the above fraction and the expected number of people in the reception is the solution to this question;

Hence, the expected number of the people at the reception whose favorite snack will be chips is 1152

Step-by-step explanation:

Quadrilateral OPQR is inscribed inside a circle as shown in the given diagram. It is a shape bounded by four different sides and four different angles.

In a quadrilateral, the sum of all the angles is equal yo 360 degrees.

This means that

angle O + angle P + angle Q + angle R = 360 degrees.

Also, the opposite angles of the quadrilateral are supplementary. This means that the sum of the opposite angles is 180 degrees. Therefore,

Angle O + angle Q = 180

3y + 8 + y = 180

4y = 180-8 = 172 - - - - - - - -1

Angle R + angle P = 180

2x + 2x + 4 = 180

4x + 4 = 180- - - - - - - -2

From equation 1

y = 172/4 = 43

angle R = 3y + 8

= 3×43 +8 =137 degrees