Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Bao has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Bao randomly removes a chew from the bag, records the result, and returns the chew to the bag. Bao performs the experiment 66 times. The results are shown below: A pineapple chew was selected 20 times. A apple chew was selected 23 times. A peach chew was selected 23 times. Based on these results, express the probability that the next chew Bao removes from the bag will be a flavor other than apple as a fraction in simplest form. Answer:

Bao has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Bao randomly removes a chew from the bag, records the result, and returns the chew to the bag. Bao performs the experiment 6666 times. The results are shown below:\newlineA pineapple chew was selected 2020 times.\newlineA apple chew was selected 2323 times.\newlineA peach chew was selected 2323 times.\newlineBased on these results, express the probability that the next chew Bao removes from the bag will be a flavor other than apple as a fraction in simplest form.\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Evaluate two-variable equations: word problemsright chevron icon

Full solution

Q. Bao has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Bao randomly removes a chew from the bag, records the result, and returns the chew to the bag. Bao performs the experiment 6666 times. The results are shown below:\newlineA pineapple chew was selected 2020 times.\newlineA apple chew was selected 2323 times.\newlineA peach chew was selected 2323 times.\newlineBased on these results, express the probability that the next chew Bao removes from the bag will be a flavor other than apple as a fraction in simplest form.\newlineAnswer:
  1. Calculate Total Chews: Determine the total number of chews selected during the experiment. Bao performed the experiment 6666 times, which means 6666 chews were selected in total. Calculation: 2020 (pineapple) + 2323 (apple) + 2323 (peach) = 6666
  2. Calculate Non-Apple Chews: Calculate the number of times a flavor other than apple was selected.\newlineSince apple chews were selected 2323 times, we subtract this number from the total number of chews to find the number of times a non-apple flavor was selected.\newlineCalculation: 6666 (total) - 2323 (apple) = 4343 (non-apple)
  3. Find Probability as Fraction: Express the probability of selecting a non-apple flavor as a fraction. The probability is the number of successful outcomes (non-apple flavors) over the total number of possible outcomes (total chews). Calculation: Probability = 43 (non-apple)66 (total)\frac{43 \text{ (non-apple)}}{66 \text{ (total)}}
  4. Simplify Fraction: Simplify the fraction to its simplest form.\newlineWe need to find the greatest common divisor (GCD) of 4343 and 6666 and divide both the numerator and the denominator by that number.\newlineThe GCD of 4343 and 6666 is 11, so the fraction is already in its simplest form.\newlineCalculation: 4366\frac{43}{66}

More problems from Evaluate two-variable equations: word problems

Question
This equation shows how the distance traveled by a car is related to the time spent driving. d=50t+10 d = 50t + 10 . The variable t t represents the time in hours, and the variable d d represents the distance in miles. How far does the car travel in 2 2 hours?
Get tutor helpright-arrow

Posted 10 months ago

Question
The equation shows how the cost of buying pencils is related to the number of pencils purchased. \newline c=0.5p+2 c= 0.5p+2 \newlineThe variable p p represents the number of pencils, and the variable c c represents the total cost. How much does it cost to buy 10 10 pencils?
Get tutor helpright-arrow

Posted 9 months ago

Question
This equation shows how the total score in a game is related to the number of points scored per level. s=100l+250 s = 100l + 250 . The variable l l represents the levels completed, and the variable s s represents the total score. What is the total score after completing 3 3 levels?
Get tutor helpright-arrow

Posted 7 months ago

Question
The equation shows how the amount of paint needed is related to the area to be painted. p=2a+5 p = 2a + 5 . The variable a a represents the area in square meters, and the variable p p represents the amount of paint in liters. How much paint is needed for an area of 8 8 square meters?
Get tutor helpright-arrow

Posted 7 months ago

Question
This equation shows how the total bill for a meal is related to the number of people sharing the meal. \newline b=15n+35 b = 15n + 35 \newlineThe variable n n represents the number of people, and the variable b b represents the total bill. What is the total bill for a meal shared by 4 4 people?
Get tutor helpright-arrow

Posted 9 months ago

Question
Poppy the dog weighs p p pounds, and Yumi the cat weighs y y pounds. If Poppy weighs 3636 more pounds than Yumi does, which of the following equations correctly describes the relationship between their weights?\newlineChoose 11 answer:\newline(A) p+y=36 p+y=36 \newline(B) p+36=y p+36=y \newline(C) p−y=36 p-y=36 \newline(D) y−p=36 y-p=36
Get tutor helpright-arrow

Posted 7 months ago

Question
Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c+8m 11 c+8 m , where c c is the number of candy canes Calvin eats for breakfast and m m is the number of candy canes Melvin eats for breakfast. How many toys do they build when Calvin eats 55 candy canes and Melvin eats 33 candy canes for breakfast?
Get tutor helpright-arrow

Posted 7 months ago

Question
2w+4 2 w+4 \newlineCarly is cutting a piece of paper stock based on the width of a photo. The expression above describes the length of the paper stock, in inches, for a photo that is w w inches wide. If the photo is 88.55 inches wide, what is the length of the paper stock in inches?
Get tutor helpright-arrow

Posted 7 months ago

Question
Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c+8m 11 c+8 m where c c is the number of candy canes Calvin eats for breakfast and m m is the number of candy canes Melvin eats for breakfast.\newlineHow many toys do they build when Calvin eats 55 candy canes and Melvin eats 33 candy canes for breakfast?\newlinetoys
Get tutor helpright-arrow

Posted 8 months ago

Question
The approval rating of a certain politician is changing at a rate of r(t) r(t) percent of the population per month (where t t is the time in months).\newlineWhat does ∫03r(t)dt \int_{0}^{3} r(t) d t represent?\newlineChoose 11 answer:\newline(A) The rate of change of the approval rating of the politician when t=3 t=3 months\newline(B) The average rate of change of the approval rating during the first three months\newline(C) The change in the percent of the population who approves of the politician during the first three months\newline(D) The percent of the population who approves of the politician when t=3 t=3 months
Get tutor helpright-arrow

Posted 7 months ago

View all (180)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant