The probability models that represents a probability of winning of 1/6 are given as follows:
A) a fair six-sided number cube.
D) a spinner with 6 equal sections.
E) a bag of 12 black chips and 60 red chips.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
For this problem, we want a probability of 1/6 of winning each trial, hence the events are given as follows:
A) a fair six-sided number cube. -> One out of the six numbers is equivalent to winning.
D) a spinner with 6 equal sections. -> One out of the six regions is equivalent to winning.
E) a bag of 12 black chips and 60 red chips. -> 12/(12 + 60) = 12/72 = 1/6.
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Betsy is working on draining her pool for the winter. Her pool has 1,200 gallons of water and can drain 100 gallons an hour. After 5 hours, how much water will still be in the pool?
After 5 hours, there will be 700 gallons of water still in the pool.
After 5 hours, how much water will still be in the pool?Given that, the pool has 1,200 gallons of water and can drain 100 gallons an hour.
After 5 hours, the total amount of water drained from the pool will be 100 gallons per hour times 5 hours, or 500 gallons.
= 100 gallons × 5
= 500 gallons
To find out how much water will still be in the pool, we need to subtract the amount of water drained from the original amount "y":
This forms an equation.
Amount of water still in the pool = original amount - water drained from the pool.
y = 1,200 gallons - 500 gallons
y = 700 gallons
Therefore, 700 gallons of water is still in the pool.
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Your local hardware store is having a 35% off everything sale. But Wait!!!! For the next 3 days they
are offering a coupon to save an additional 30%. If the store applies the sale price then applies the
coupon, find each of the following. Let a represent the price of any item. Round all decimals to 4
decimal places.
Write an function that will directly calculate the final price on an item.
What percentage is actually being saved by the costumer?
1. The function that will directly calculate the final price on an item is " a * 0.455".
2. The percentage that is actually being saved by the custumer is 54.5%.
Function which will calculate the final price on an item:The final price of an item after the discount and coupon can be calculated using the following function:
Final price = a * (1 - 0.35) * (1 - 0.30)
Final price = a * 0.455
This function first applies the 35% discount, which reduces the original price (a) to 65% of its value. Then, it applies the 30% coupon to the discounted price, which reduces it to 70% of its value.
What percentage is actually being saved by the custumer?Original price = $100
Sale price (35% off) = $100 * (1 - 0.35)
Sale price (35% off) = $65
Final price = $65 * (1 - 0.30)
Final price = $45.50
Savings = $100 - $45.50
Savings = $54.50
Percentage saved:
= (Savings / Original price) * 100%
= ($54.50 / $100) * 100%
= 54.5%
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Graham wants to take snowboarding lessons at a nearby ski resort that charges $40 per week. The resort also charges a one-time equipment-rental fee of $99 for uninterrupted enrollment in classes. The resort requires that learners pay for three weeks of classes at a time
Answer:
$40+99=136 For 1 week
For 3 weeks it would be $120
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In her geology class, Nora learned that quartz is found naturally in a variety of colors. Nora's teacher has a giant box of colorful quartz pieces that he and his students have collected over the years. Nora picks a piece of quartz out of the box, records the color, and places it back in the box. She does this 18 times and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.
Based on the data, what is the probability that the next piece of quartz Nora picks will be yellow?
Write your answer as a fraction or whole number.
The probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].
What is probability?
Probability is a tool that can be used to calculate the likelihood of an event. It can only be used to assess the likelihood that an event will take place. a scale where 0 represents impossibility and 1 represents a particular occurrence.
We are given that Nora picks pieces 18 times from the box and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.
So, for the event,
⇒ Probability of yellow pieces = [tex]\frac{2}{18}[/tex]
⇒ Probability of yellow pieces = [tex]\frac{1}{9}[/tex]
Hence, the probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].
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Question
Simplify:
(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²).
Provide your answer below:
Step-by-step explanation:
To simplify the expression:
(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²), we need to perform the subtraction operation by distributing the negative sign to each term inside the parentheses:
-11r² + 8rs + 4s² - 11r² + 4rs + 3s²
Now we can combine like terms by adding or subtracting coefficients of the same variables:
(-11r² - 11r²) + (8rs + 4rs) + (4s² + 3s²)
Simplifying further, we get:
-22r² + 12rs + 7s²
Therefore, the simplified expression is -22r² + 12rs + 7s².
A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 38ft. What is the volume of the silo?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
13487 ft³
Step-by-step explanation:
Volume of a Cylinder: 2πr²*h
π = 3.14
r = 9 ft
h = 53 ft
Volume = 2(3.14)(9)²*53 = 13486.86 ft³
Rounded to nearest whole number
Volume of the Cylindrical Water tank is 13487 ft³
What is the difference between the points (8, 10) and (8, 4) on coordinate plane
Answer:
6 units
Step-by-step explanation:
(8, 10 ) → (8, 4 )
since the x- coordinates of each point are the same, both 8
then this is a vertical straight line
the difference is then the absolute value of the difference in the y- coordinates, that is
| 10 - 4 | = | 6 | = 6
or
| 4 - 10 | = | - 6 | = | 6 | = 6
Ruby wants to find the height of the tallest building in her city. She stands 190 feet away from the building. There is a tree 31 feet in front of her, which she knows is 20 feet tall. How tall is the building? (Round to the nearest foot.)
To solve this problem, we can use similar triangles. Let's call the height of the building "h". Then, we have two similar triangles: one formed by Ruby, the tree, and the top of the tree; and the other formed by Ruby, the building, and the top of the building.
We know that the height of the tree is 20 feet, and the distance from the tree to Ruby is 31 feet. We also know that the distance from Ruby to the building is 190 feet.
Using these values, we can set up a proportion:
h / (190 + 31) = 20 / 31
Simplifying the proportion, we get:
h / 221 = 20 / 31
Multiplying both sides by 221, we get:
h = (20 / 31) * 221
h ≈ 143.23
Therefore, the height of the building is approximately 143 feet. Rounded to the nearest foot, the height of the building is 143 feet.
The volume of a figure is 975 ft³. If the
dimensions are multiplied by 2/5, what will be
the volume of the new figure?
Volume= answer... ft3
The volume of the new figure is approximately 63.36 ft³.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Equation:If the dimensions of a figure are multiplied by a scale factor of k, then its volume will be multiplied by a factor of k³.
In this case, the dimensions are multiplied by 2/5, which is the same as multiplying by a scale factor of 0.4 (2/5 = 0.4). Therefore, the volume of the new figure will be:
V' = (0.4)³ * V
where V is the original volume.
Substituting V = 975 ft³, we get:
V' = (0.4)³ * 975 ft³
V' ≈ 63.36 ft³
Therefore, the volume of the new figure is approximately 63.36 ft³.
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A kettle is sold at a profit equal to one-fourth of its cost price. Find the profit percentage.
Answer:
25%
Step-by-step explanation:
If the cost price could be 100
Then there's A/Q
One-fourth is always 100/4 = 25%
The radius of a circle is 5 in. Find its area in terms of pi
Answer:
Step-by-step explanation:
[tex]A=\pi r^2=\pi \times 5^2=25\pi[/tex]
Solution: [tex]A=25\pi[/tex] units²
Evaluate the function when x = 3, x = 0, and x = -2.
10. g(x) = 3x
12. h(x) = 1.2x
13. f(x)=1.5x-2
14. h(x)=-4x+1/2
15. f(x)=1/3x + 2/3
Answer: The answer is -10 :)
Step-by-step explanation:
12)f(x)=2x-6
=》f(3)=2(3)-6
=》6-6=0
f(×)=2x-6
f(0)=-6
=》f(-2)=2(-2)-6
=》-4-6
=-10
13)h(3)=6(3)+2
=》18+2
=20
h(0)=0+2
h=2
(-2)=6(-2)+2
=》-12+2
=-10
two sets of the sum of a number and eight are added to five times the same nunmber
Answer:
2 (x + 8) + 5x.
Step-by-step explanation:
This question is to find the algebraic expression given by words. Call the unknown number x. Then the sum of it and eight is x + 8. Two sets of it means 2 (x + 8). Now that added to five times the number is 2 (x + 8) + 5x. Then, the answer is: 2 (x + 8) + 5x.
Juniper Middle School serves students in 7th and 8th grades.
a. 55% of the students at Juniper are in the 8th grade. The remaining 117 students are in 7th grade. How many
students attend Juniper Middle School?
b. In September, there was an average of 4.8 daily unexcused absences. In October, this daily average was 6. By what
percent did the average daily unexcused absences change from September to October?
There are 260 students who attend Juniper Middle School. The average daily unexcused absences increased by 25% from September to October.
How to calculate . How many students attend Juniper Middle Schoola. Let's assume that the total number of students at Juniper Middle School is "x."
Given that 55% of the students are in the 8th grade, we can write:
0.55x = number of 8th grade students
And since the remaining 117 students are in 7th grade, we can write:
x - 0.55x = 117
0.45x = 117
x = 260
Therefore, there are 260 students who attend Juniper Middle School.
b. To find the percent change from September to October, we can use the formula:
percent change = ((new value - old value) / old value) x 100%
Substituting the given values, we get:
percent change = ((6 - 4.8) / 4.8) x 100%
percent change = (1.2 / 4.8) x 100%
percent change = 25%
Therefore, the average daily unexcused absences increased by 25% from September to October.
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a movie streaming service offers 12 children movies this is 15% of the total number of movies offerd
Answer: the movie streaming service offers 80 children's movies
Step-by-step explanation:
what equation can be used to represent the relation shown in the table ?
A new water park, Tony’s Tidal Takeover, just opened. You have not heard anything specific about how much it costs to go to this park, but some of your friends have told you what they spent. The information is organized in the table below.
If I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50
How to calculate the word problemA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, if I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50. This is because it's the cheapest.
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What is the least common denominator of the fractions in the sum 1/8 + 1/9?
This means that the lowest goal (LCD) is 72 and that the total of 1/8 and 1/9 stated with one common denominator = 72 is 17/72.
What or who is a denominator?The denominator of a fraction, which represents many spaced evenly out parts are utilized to split an object, is the smallest amount inside the fraction. The fraction is divided by it. The denominator in this situation is 4, suggesting there are four parts altogether.
The fractions mentioned have 8 and 9 as their denominators. Multiples of 8 include 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80, while multiples of 9 include 9, 18, 27, 36, 45, 54, 63, 72, and 81.
It is evident that 72 will be the first common number of 8 and 9. Hence, for 1/8 and 1/9, its least common factor (LCD) is 72.
We must express every fraction with denominator 72 in order to sum the fraction with a common denominator:
1/8 Equals 9/72 (with multiplying both the numerator and the denominator by 9)
1/9 Equals 8/72 (with multiplying both the denominator and the numerator by 8)
We can now combine the fractions:
1/8 plus 1/9 = 9/72 plus 8/72
= 17/72
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Question Below.
Answers: 250|253|254|255|307|433|434|435|507|.
First to answer this question the quickest is rewarded branliest + 100 points
Answer:
Minimum--> 250
Q1--> 255
Q2--> (Median): 307
Q3--> 433
Maximum-->507
Step-by-step explanation:
To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.
First, we need to sort the data set in ascending order:
{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }
Minimum: 250
Maximum: 507
To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.
Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.
Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.
Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.
Choose the item that has measurable volume.
cereal box
an index card
piece of paper
a napkin
Answer:
For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.
Step-by-step explanation:
hope its right!
Solve for x. Round to the nearest tenth, if necessary
Answer: 1.0
Step-by-step explanation:
sohcahtoa means you use sine.
sin(37) = 0.6/x
xsin(37) = 0.6
x = 0.6/sin(37)
x = 0.996
x = 1.0
Shania is having trouble understanding her algebra assignment. To help her understand, she asks Mark why x2 x y3 is not equal to (xy)5. Which of the following responses would be best for Mark to give?
Answer:
In 2x*3y, you must multiply each term together. 2*3=6 and x*y=xy. So, 2x*3y=6xy.
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many gold and bronze medals were won?
50
70
105
120
Answer:
70 gold and bronze
Step-by-step explanation:
Add gold at 20 percent and bronze at 50 percent to get 70 percent gold and bronze.
a machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate in pounds
per hour does the machine makes nails?
Answer:
a machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate in pounds
per hour does the machine makes nails?
Is (2+8), 3y a constant?
Step-by-step explanation:
3y is not a constant for it has a variable.
However, (2+8) = (10) is a constant
please help me i need it
Answer:
75 degrees
Step-by-step explanation:
Since angle ABD = angle ABC + angle CBD, and we know each of those, we can add them to get the answer.
30+45=75 degrees.
Assume that you are a garment manufacturer. Based on the marker, you need to
order 3,500 yards of fabric in 60 inches with a density of 200 gm/m² to fulfill your
order. The fabric mill is only able to quote you fabric price in weight at S$6 per kg
and he can meet your 200gm/m² density and the 60 inches fabric width
requirements. How much fabric must you order in kg? What is the total cost of the
fabric purchased?
I NEED HELP ASAP
Answer:
The garment manufacturer must order 640.56 kg of fabric and the total cost of fabric purchased would be S$3,843.36.
Explanation:
To find out how much fabric must be ordered in kg, we need to first convert the yards to meters, then calculate the weight of the fabric in kg.
1 yard = 0.9144 meters 3,500 yards = 3,202.8 meters
Density = 200 gm/m² = 0.2 kg/m²
Total weight of fabric = 3,202.8 meters x 0.2 kg/m² = 640.56 kg
Therefore, the garment manufacturer must order 640.56 kg of fabric.
The cost of fabric per kg is S$6.
Therefore, the total cost of fabric purchased is:
Total cost = 640.56 kg x S$6/kg = S$3,843.36
Find the volume of the composite. The solid below is a square prism with a cylinder
cut out of it. Round to the nearest whole centimeter.
Answer:
17,242 cm³
Step-by-step explanation:
Step 1:
Volume of square prism = (area of base) * height
Volume of square prism = (25 * 30) * 25
Volume of square prism = 750 * 25
Volume of square prism = 18,750 cm³
Step 2:
Volume of cylinder = (area of base) * height
Volume of cylinder = (π * (8/2)²) * 30
Volume of cylinder = 16π * 30
Volume of cylinder = 480π
Volume of cylinder ≈ 1,508 cm³
Step 3:
Volume of composite = (Volume of square prism) − (Volume of cylinder)
Volume of composite = 18,750 cm³ − 1,508 cm³
Volume of composite = 17,242 cm³
Chase decided he was going to start selling cups of lemonade this weekend too. He calculated his profit using the given table
number of cups sold (c) 15 20 25 30 35
total profit earned S(c) $5.05 $9.05 $13.05 $17.05 $21.05
$5.05 15
+ $9.05 20
+ $13.05 25
+ $17.05 30
+ $21.05 + 35
$65.25 125
NUMBER OF CUPS SOLD :-125
TOTAL PROFIT:- $65.25
1. bmi calculator: design a program in raptor that prompts user to enter a person's weight in number of pounds and height in number of inches, then calculate that person's body mass index (bmi) using the formula below, and finally display the person's weight, height, and bmi. bmi
The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.
To design a program in Raptor that prompts the user to enter a person's weight in pounds and height in inches, and then calculates and displays their body mass index (BMI), we can follow these steps:
Start by opening Raptor and creating a new program.
Add three input symbols to prompt the user for their weight, height, and a constant value for BMI. Label each input symbol accordingly.
Add three assignment statements to assign the input values to variables. We can use the labels we assigned to the input symbols as variable names to make the code more readable.
Add two calculation statements to calculate the person's BMI using the formula [tex]BMI = (weight in pounds * 703) / (height in inches)^2.[/tex]Assign the result to the BMI variable.
Add three output symbols to display the person's weight, height, and BMI. We can concatenate strings with the variable values to make the output more informative.
Finally, save the program and run it to test it with different input values.
Here's what the program would look like:
Start
// Prompt the user for weight, height, and BMI
Input "Enter weight in pounds:", weight
Input "Enter height in inches:", height
Input "BMI:", bmi_constant
// Calculate BMI
Set weight_in_kg = weight / 2.205 // Convert weight to kilograms
Set height_in_m = height / 39.37 // Convert height to meters
[tex]Set bmi = weight_in_kg / (height_in_m ^ 2)[/tex] // Calculate BMI
// Display results
Output "Weight: " + weight + " lbs"
Output "Height: " + height + " in"
Output "BMI: " + bmi
Stop
When the program is run, it will prompt the user to enter their weight, height, and a constant value for BMI. It will then calculate the person's BMI using the formula, convert the weight to kilograms and the height to meters, and display the results along with the original weight and height values. The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.
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