Students in the 7th and 8th grade at Imawinner Middle School are going on a field trip to the aquarium. If a student actively participates in the engagement activities at the aquarium, they are entered into a raffle to win a free lunch from their favorite restaurant. The table below shows the number of students in each grade and homeroom who engaged in the activities.
Seventh grade
Homeroom A: 8
Homeroom B: 10
Homeroom C: 7
Eighth Grade
Homeroom A: 9
Homeroom B: 10
Homeroom C: 9
What is the probability the winner is a 7th grader in Homeroom C? Make it in fraction form
The total number of students who participated in the engagement activities is 8 + 10 + 7 + 9 + 10 + 9 = 53.
The probability that the winner is a 7th grader in Homeroom C is 7/53.
What is the probability the winner is NOT in Homeroom B? Fraction form
The number of students who are not in Homeroom B is 8 (Homeroom A in 7th grade) + 7 (Homeroom C in 7th grade) + 9 (Homeroom A in 8th grade) + 9 (Homeroom C in 8th grade) = 33.
The probability that the winner is not in Homeroom B is 33/53.
Henry ate 3/8 of a pizza for lunch. For dinner, he ate 2/3 of what was left from lunch. How much of the whole pizza did he eat for dinner?(1 point) Fraction form
If Henry ate 3/8 of the pizza for lunch, then there was 1 - 3/8 = 5/8 of the pizza left.
For dinner, he ate 2/3 of what was left from lunch, which would be 2/3 * 5/8 = 10/24 = 5/12.
Therefore, Henry ate 5/12 of the whole pizza for dinner.
A survey taken by 150 people revealed that 65 like apple juice while 85 dislike it. One person is randomly chosen from this group. What is the chance that a chosen person dislikes apple juice? Write your answer as a ratio (fraction) in simplest form.
There are 85 people who dislike apple juice out of a total of 150 people surveyed.
The probability that a randomly chosen person dislikes apple juice is 85/150, which simplifies to 17/30.
Therefore, the chance that a chosen person dislikes apple juice is 17:30 or 17/30.
Determine the area of the lateral face of the cylinder below. Round your answer to the nearest whole number. Use 3.14 for π.
Height of 3 inches and diameter of 10 inches
(1 point)
Responses
30 square inches
30 square inches
94 square inches
94 square inches
251 square inches
251 square inches
817 square inches
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = height * circumference of the base
First, we need to find the circumference of the base of the cylinder. The diameter is 10 inches, so the radius is half of the diameter, which is 10/2 = 5 inches. Using the formula for the circumference of a circle: circumference = 2 * π * radius = 2 * 3.14 * 5 = 31.4 inches.
Now, we can calculate the lateral surface area: Lateral Surface Area = 3 * 31.4 = 94.2 square inches.
Rounded to the nearest whole number, the area of the lateral face of the cylinder is 94 square inches.
Julian earns $10.42 per hour. If he gets a 3% raise, how much will he earn per hour?(1 point)
Responses
$3.13
$3.13
$10.45
$10.45
$10.73
$10.73
$347.33
$347.33