suzy likes to mix and match her 3 necklaces, 2 bracelets, and 6 hats. the colors are listed in the table. on monday, she randomly picks a bracelet, a necklace, and a hat. what is the probability of suzy choosing a red bracelet and silver hat?
1/2
1/4
1/6
1/12 hurry plz =(
pls someone help me!!!
its D
i think...but..pls don´t get mad at me if it isn´t!
The answer is 1/12!
sorry - no data on how many of each color.
There is red, green, and gold for necklaces.
There is red and black for the bracelet.
There is silver, yellow, green, gold, black, and white.
An ice cream shop offers 5 different flavors of ice cream and 12 different toppings. How many choices are possible for a single serving of ice cream with one topping?
There are 5 choices for the flavor of ice cream and 12 choices for the topping. To find out how many choices are possible for a single serving with one topping, we need to multiply the number of choices for each category:
5 flavors × 12 toppings = 60 possible choices
Therefore, there are 60 possible choices for a single serving of ice cream with one topping.
Suzy likes to mix and match her 3 necklaces, 2 bracelets, and 6 hats. The colors are listed in the table. On Monday, she randomly picks a bracelet, a necklace, and a hat. What is the probability of Suzy choosing a red bracelet and silver hat?
Necklace Bracelet Hat
Red Red Silver
Green Black Yellow
Gold Green
Gold
Black
White
There are 2 bracelets and 6 hats for Suzy to choose from, which gives 2 x 6 = 12 possible combinations of bracelet and hat. Out of these, there is only one combination of a red bracelet and a silver hat, so the probability of Suzy choosing a red bracelet and silver hat is 1 out of 12 possible choices.
Therefore, the probability is 1/12.
Which events are not independent?
Two events are not independent if the occurrence of one event affects the probability of the other event. For example:
1. Drawing two cards from a deck without replacement: The probability of drawing the second card will be affected by the first card drawn because there is one less card in the deck.
2. Getting a job and passing a drug test: The probability of passing a drug test is affected by whether or not you get the job because if you don't get the job, you won't be taking the drug test.
3. Rolling a die and getting a number greater than 4, and then rolling a second die and getting a number greater than 3: These events are not independent because the probability of rolling a number greater than 3 on the second die would be affected if the first die roll resulted in a number greater than 4.
In general, any events where the occurrence or non-occurrence of one event affects the probability of the other event are not independent.
Which events are not independent?
Two events are not independent if the occurrence of one event affects the probability of the other event. For example:
1. Drawing two cards from a deck without replacement: The probability of drawing the second card will be affected by the first card drawn because there is one less card in the deck.
2. Getting a job and passing a drug test: The probability of passing a drug test is affected by whether or not you get the job because if you don't get the job, you won't be taking the drug test.
3. Rolling a die and getting a number greater than 4, and then rolling a second die and getting a number greater than 3: These events are not independent because the probability of rolling a number greater than 3 on the second die would be affected if the first die roll resulted in a number greater than 4.
In general, any events where the occurrence or non-occurrence of one event affects the probability of the other event are not independent.
A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5?
The probability of the coin showing heads is 1/2, since there are two possible outcomes (heads or tails) and the coin is fair. The probability of the number cube showing 5 is 1/6, since there are six possible outcomes (the numbers 1-6) and the cube is fair.
To find the probability of both events happening, we need to multiply the probabilities:
P(coin showing heads and number cube showing 5) = P(coin showing heads) × P(number cube showing 5)
= 1/2 × 1/6
= 1/12
Therefore, the probability of the coin showing heads and the number cube showing 5 is 1/12.
The table shows the snack preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred the potato chips or pretzels?
Food Survey
Food Number of Shoppers
Fruit snacks 9
Potato chips 12
Apple 3
Pretzels 14
Water 12
There are a total of 50 shoppers surveyed. Out of these, 12 preferred potato chips and 14 preferred pretzels. To find the probability that a shopper preferred either potato chips or pretzels, we need to add these two probabilities:
P(potato chips or pretzels) = P(potato chips) + P(pretzels)
= 12/50 + 14/50
= 26/50
= 13/25
Therefore, the probability of one randomly selected shopper preferring potato chips or pretzels is 13/25.
From a barrel of colored marbles, you randomly select 5 blue, 2 yellow, 3 red, 4 green, and 2 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
There are a total of 5 + 2 + 3 + 4 + 2 = 16 marbles, and 2 of them are yellow. Therefore, there are 16 - 2 = 14 marbles that are not yellow.
To find the experimental probability of randomly selecting a marble that is not yellow, we need to divide the number of marbles that are not yellow by the total number of marbles:
Experimental probability = number of marbles that are not yellow / total number of marbles
Experimental probability = 14 / 16
Experimental probability = 0.875
Therefore, the experimental probability of randomly selecting a marble that is not yellow is 0.875 or 87.5%.
Multiple Choice
Name the point with the given coordinates.
(–4, 2)
A coordinate grid with four labeled points is shown.
The point with the coordinates (-4, 2) is the point labeled "D" on the coordinate grid.
Solve the equation.
Start Fraction x over 4 End Fraction + 1 = –6
Start Fraction x over 4 End Fraction + 1 = –6
Subtract 1 from both sides:
Start Fraction x over 4 End Fraction = -6 - 1
Start Fraction x over 4 End Fraction = -7
To solve for x, we can multiply both sides by 4:
x = -7 * 4
x = -28
Therefore, the solution to the equation is x = -28.
Smallside Farms sells Delicious and Empire apples. One August they sold 162 more Empire than Delicious apples. The total number of apples sold was 424. Which equation could be used to solve for n, the number of Delicious apples sold?
Let's use 'n' to represent the number of Delicious apples sold.
From the problem, we know that the number of Empire apples sold was 162 more than the number of Delicious apples sold. Therefore, the number of Empire apples sold can be represented as (n + 162).
We also know that the total number of apples sold was 424. Therefore, we can set up an equation:
n + (n + 162) = 424
Simplifying and solving for n:
2n + 162 = 424
2n = 424 - 162
2n = 262
n = 131
Therefore, the equation that could be used to solve for n, the number of Delicious apples sold, is:
n + (n + 162) = 424
Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour. You must drive 520 miles total. If you have already driven 195 miles, how long will it take you to reach your destination? Use h to represent the number of hours it will take to reach your destination. Use the equation 65h + 195 = 520.
The equation 65h + 195 = 520 represents the distance you will travel (65h) plus the distance you have already traveled (195) equaling the total distance you need to travel (520).
To solve for h, we can start by subtracting 195 from both sides:
65h = 520 - 195
65h = 325
Then, we can divide both sides by 65:
h = 325/65
h = 5
Therefore, it will take you 5 hours to reach your destination.
Write an inequality for the situation.
Sam scored at least 26 points.
Let's let 'x' represent the number of points that Sam scored.
The phrase "at least" means that Sam scored 26 points or more. We can write this as an inequality:
x ≥ 26
Therefore, the inequality for the situation is x ≥ 26.
Write an inequality for the following situation:
No more than 8 books are in your bag.
Let's let 'x' represent the number of books in your bag.
The phrase "no more than" means that the number of books in your bag is less than or equal to 8. We can write this as an inequality:
x ≤ 8
Therefore, the inequality for the situation is x ≤ 8.
Which inequality does the graph represent?
A number line shows integers from negative 5 to 5. A solid dot is located at negative 2 and the line is darkened and bold from that point to the right.
The darkened and bold line to the right of the solid dot indicates that the inequality includes all numbers greater than negative 2, which can be written as:
x ≥ -2
Therefore, the inequality that the graph represents is x ≥ -2.
Which inequality does the graph represent?
A number line shows integers from negative 5 to 5. A small open circle is located at 2 and the number line is darkened and bold from that point to the left.
The darkened and bold line to the left of the open circle indicates that the inequality includes all numbers less than 2, but not including 2. This can be written as:
x < 2
Therefore, the inequality that the graph represents is x < 2.
Solve the inequality.
y + 6 ≥
I'm sorry, there is a missing term in the inequality. Can you please provide the complete inequality?
Question 13 of 17
Solve the inequality.
y + 6 ≥ 9
A. y ≥ 3
B. y ≤ 3
C. y ≤ 15
D. y ≥ 15
To solve the inequality, we need to isolate y on one side of the inequality symbol by subtracting 6 from both sides:
y + 6 - 6 ≥ 9 - 6
y ≥ 3
Therefore, the solution is:
y ≥ 3
So the answer is (A) y ≥ 3.
Write an inequality for the sentence. Then solve the inequality.
Twelve less than a number is at most 7.
"Twelve less than a number" can be written as (x - 12), where x represents the number.
"At most 7" means that the expression on the left should be less than or equal to 7.
Putting it together, we can form the inequality:
x - 12 ≤ 7
To solve for x, we can add 12 to both sides of the inequality:
x - 12 + 12 ≤ 7 + 12
x ≤ 19
Therefore, the solution is:
x ≤ 19
So the inequality is x - 12 ≤ 7 and the solution is x ≤ 19.
The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weighs 86 pounds. To be able to ride in a car together, how much can you weigh? Write and solve the inequality.
Let's let 'x' represent the weight that you can have to ride in a car with your friend.
According to the problem, the maximum weight allowed per car is 263 pounds, and your friend already weighs 86 pounds. Therefore, the sum of your friend's weight and your weight must be less than or equal to the maximum weight allowed per car. We can write this as an inequality:
x + 86 ≤ 263
To solve for x, we can subtract 86 from both sides of the inequality:
x + 86 - 86 ≤ 263 - 86
x ≤ 177
Therefore, the solution is:
x ≤ 177
So to ride in the car with your friend, you can weigh at most 177 pounds. The inequality is x + 86 ≤ 263 and the solution is x ≤ 177.
Short Answer
Your teacher will grade your responses to questions 16–17 to ensure that you receive proper credit for your answers.
Complete the function table. Then write a rule for the function.
A two column table is shown. The first column is titled 'Input' and contains negative 3, negative 2, negative 1, 0, and 1 from top to bottom. The second column is titled 'Output' and contains an empty box, negative 4, an empty box, an empty box, and negative 1 from top to bottom.
Input | Output
--------------
-3 |
-2 | -4
-1 |
0 |
1 | -1
The rule for the function can be written by observing the pattern in the output values.
When the input is -2, the output is -4. When the input is 1, the output is -1.
This suggests that the function subtracts 2 from the input and then multiplies the result by itself:
f(x) = (x - 2)^2
Using this rule, we can check that the output values in the function table are correct:
f(-3) = (-3 - 2)^2 = (-5)^2 = 25
f(-2) = (-2 - 2)^2 = (-4)^2 = 16
f(-1) = (-1 - 2)^2 = (-3)^2 = 9
f(0) = (0 - 2)^2 = (-2)^2 = 4
f(1) = (1 - 2)^2 = (-1)^2 = 1
Therefore, the rule for the function is f(x) = (x - 2)^2.