D. 1/6
Since the spinner is divided into 6 segments and only one segment is shaded, there are 5 unshaded sections out of a total of 6 possible outcomes. Therefore, the probability of landing on an unshaded section is 5/6, which simplifies to 1/6.
Use the image to answer the question.
A wheel is divided into 6 segments from the center toward circumference and labeled from the left as S, T, H, O, N, and E. The arrow of a needle points to O on the right and the circular end points to S on the left.
A spinner labeled with the letters of the word HONEST is to be spun once. Describe the probability of landing on an unshaded section in the sample space.
(1 point)
A. 1/2
B. 3
C. 1/3
D. 1/6
7 answers
A basket of fruits contains 10 bananas, 5 mangoes, and 5 apples. A fruit is selected at random. Calculate the probability of selecting an apple or a banana. Express the answer in percent form.
(1 point)
A. 75%
B. 12.5%
C. 62.5%
D. 0
(1 point)
A. 75%
B. 12.5%
C. 62.5%
D. 0
To calculate the probability of selecting an apple or a banana, we first determine the total number of apples and bananas, which is 10 bananas + 5 apples = 15.
The total number of fruits in the basket is 10 bananas + 5 mangoes + 5 apples = 20.
The probability of selecting an apple or a banana is 15 (number of apples and bananas) divided by 20 (total fruits), which simplifies to 3/4 or 75%.
Therefore, the answer is:
A. 75%
The total number of fruits in the basket is 10 bananas + 5 mangoes + 5 apples = 20.
The probability of selecting an apple or a banana is 15 (number of apples and bananas) divided by 20 (total fruits), which simplifies to 3/4 or 75%.
Therefore, the answer is:
A. 75%
Use the table to answer the question.
Studying Online
Girls Boys Row total
Want the option to keep studying online 10 3 13
Don’t want the option to keep studying online 5 7 12
Column total 15 10 25
Which mathematical sentence can be used to calculate the probability of selecting a student who wants the option to keep studying online or is a boy?
(1 point)
A. 3/25
B. 13/25+10/25−3/25
C. 13/25+10/25
D. 13/25×10/25
Studying Online
Girls Boys Row total
Want the option to keep studying online 10 3 13
Don’t want the option to keep studying online 5 7 12
Column total 15 10 25
Which mathematical sentence can be used to calculate the probability of selecting a student who wants the option to keep studying online or is a boy?
(1 point)
A. 3/25
B. 13/25+10/25−3/25
C. 13/25+10/25
D. 13/25×10/25
B. 13/25 + 10/25 - 3/25
This mathematical sentence represents the probability of selecting a student who wants the option to keep studying online (13/25) and the probability of selecting a boy (10/25), then subtracting the probability of selecting both (3/25) to avoid double counting.
This mathematical sentence represents the probability of selecting a student who wants the option to keep studying online (13/25) and the probability of selecting a boy (10/25), then subtracting the probability of selecting both (3/25) to avoid double counting.
Use the table to answer the question
Items Number of Orders
Breakfast Sandwich and Orange Juice 13
Muffins and Orange Juice 27
Breakfast Sandwich and Milk 23
Muffins and Milk 16
Mitch owns a coffee shop and keeps track of how many orders he fills and in what combination of items they are during the first hour his shop is open. Combinations include either a breakfast sandwich or muffin and either orange juice or milk.
Mitch needs to predict how many orders of a breakfast sandwich and a cup of orange juice he would expect to sell if he had 1,765 customers.
(1 point)
A. 291 orders
B. 358 orders
C. 79 orders
D. 604 orders
Items Number of Orders
Breakfast Sandwich and Orange Juice 13
Muffins and Orange Juice 27
Breakfast Sandwich and Milk 23
Muffins and Milk 16
Mitch owns a coffee shop and keeps track of how many orders he fills and in what combination of items they are during the first hour his shop is open. Combinations include either a breakfast sandwich or muffin and either orange juice or milk.
Mitch needs to predict how many orders of a breakfast sandwich and a cup of orange juice he would expect to sell if he had 1,765 customers.
(1 point)
A. 291 orders
B. 358 orders
C. 79 orders
D. 604 orders
To predict how many orders of a breakfast sandwich and a cup of orange juice Mitch would expect to sell, we need to use the proportion of orders for that combination in relation to the total number of orders.
The total number of orders for breakfast sandwich and orange juice is 13.
The total number of orders is 13 + 27 + 23 + 16 = 79.
To find out how many orders of a breakfast sandwich and orange juice Mitch would expect to sell out of 1,765 customers, you can set up a proportion:
13/79 = x/1765
Cross multiplying:
79x = 13 * 1765
79x = 22945
x = 22945 / 79
x ≈ 291 orders
Therefore, Mitch would expect to sell approximately 291 orders of a breakfast sandwich and orange juice out of 1,765 customers.
So, the answer is:
A. 291 orders
The total number of orders for breakfast sandwich and orange juice is 13.
The total number of orders is 13 + 27 + 23 + 16 = 79.
To find out how many orders of a breakfast sandwich and orange juice Mitch would expect to sell out of 1,765 customers, you can set up a proportion:
13/79 = x/1765
Cross multiplying:
79x = 13 * 1765
79x = 22945
x = 22945 / 79
x ≈ 291 orders
Therefore, Mitch would expect to sell approximately 291 orders of a breakfast sandwich and orange juice out of 1,765 customers.
So, the answer is:
A. 291 orders
2 answers