Step-by-step explanation:
The theoretical probability of pulling a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles:
P(red) = 10/40 = 1/4 = 0.25 = 25%
The experimental probability of pulling a red marble is the frequency of red marbles pulled divided by the total number of trials:
Experimental probability of pulling a red marble = 8/40 = 0.2 = 20%
Therefore, the theoretical probability of pulling a red marble is 25%, and the experimental probability is 20%.
So the answer is: The theoretical probability, P(red), is 25%, and the experimental probability is 20%.
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After 1 year, $50,000 deposited in a savings account with simple interest had earned $2,500 in interest. What was the interest rate?
pls explain how as well if you don't mind
Answer:
5%
Step-by-step explanation:
The formula for calculating simple interest is:
Interest = Principal × Rate × Time
Where:
Interest is the amount of money earned as interest
Principal is the initial amount of money deposited
Rate is the interest rate (expressed as a decimal)
Time is the duration for which the money is invested or the time period over which interest is calculated
In this scenario, the principal amount is $50,000, and the interest earned is $2,500. The time period is given as 1 year.
We can rearrange the formula to solve for the rate:
Rate = Interest / (Principal × Time)
Plugging in the given values:
Rate = $2,500 / ($50,000 × 1)
The calculation simplifies to:
Rate = $2,500 / $50,000
Dividing $2,500 by $50,000 gives us the decimal value of the interest rate:
Rate = 0.05
To express the interest rate as a percentage, we multiply the decimal value by 100:
Rate = 0.05 × 100
Rate = 5%
Therefore, the interest rate for the savings account is 5%.
Answer:
Interest Rate = 5%
Step-by-step explanation:
Principal = $50, 000
Rate = ?
Time = 1 yr
S.I = PRT/100
2,500/1 = 50,000 × R × 1/100
50,000R = 2,500 × 100
50,000R = 250,000
50,000R/50,000 = 250,000/50,000
R = 5 %
James buys 4 pens for $3. Which three points lie on the line that best represents the total cost, y, of x pens?
Which order pair is NOT on the line that best represents this relationship?
Responses (8,6) (4,3) (0,0) (6,8)
James buys 4 pens for $3, so each pen costs $3/4. The total cost of x pens is $3x/4.
The points (0,0), (4,3), and (8,6) all lie on the line y = $3x/4. The point (6,8) does not lie on this line.
Therefore, the answer is (6,8).
Please answer the questions below. I will give brainliest to anyone who answers is correctly and please explain how you got that answer! (Also no silly answers to farm points or copy pasting other answer please!)
Answer:
The answer is no solution
Step-by-step explanation:
-25x+175>225 AND 5x-83 >= -73
In order to solve for the first inequality you would need to combine like terms:
-25x > 225-175
= -25x > 50
Next you would divide by -25 however, wheneve dividing by a negative number you would switch the sign:
x < -2
Now for the next inequality you would combine like terms:
5x >= -73+83
= 5x >= 10
Now divide by 5 on each side:
x >= 2
In this scenario the inequality says AND
However, x can't be greater then two and less then -2 since 2 is greater then negative two. Therefore, the answer is NO SOLUTION
Step-by-step explanation:
White cube .... this is just a visualization/counting exercise
all of the corners have 3 sides painted = 8
all of the edge-middle cubes have two sides painted = 12
all of the middle sides have 1 side painted = 6
the one cube in the dead middle has no paint = 1
8 + 12 + 6 + 1 = 27 cubes
#2 Find the entire volume of the tank to be large cylinder - small cylinder
cylinder volume formula = pi r^2 h
pi (50^2) (75) - pi ( 20^2)(75) = 494800 cm^3 = 494.8 L
If you pour 200 liters into the it will fill to
200 / 494.8 * 75 cm = 30.3 cm high
PLEASE HELP I AM GIVING 100 POINTS PLEASE
Answer:
The second choice ([tex]x + y[/tex])
Step-by-step explanation:
If x = [tex]-\frac{5}{6}[/tex] and y = [tex]\frac{4}{3}[/tex], then we can insert those in for [tex]x[/tex] × [tex]y[/tex].
[tex]-\frac{5}{6}[/tex] × [tex]\frac{4}{3}[/tex] = ?To determine if this will have a positive outcome, we don't even need to solve! We know that a negative multiplied by a positive will result in a negative product.
Therefore, this is not the correct answer.
Looking at the second choice, [tex]x + y[/tex] we can insert our numbers in for [tex]x[/tex] and [tex]y[/tex]:
[tex]-\frac{5}{6} + \frac{4}{3} = \frac{1}{2}[/tex]The outcome of the two is a positive, marking it the correct answer.
Even though we already know the answer, we can still check the other choices to be sure.
[tex]\frac{x}{y} = \frac{-\frac{5}{6} }{\frac{4}{3} } = -\frac{5}{8}[/tex]The outcome of this is a negative, meaning it is incorrect.
For the last choice, we can once again insert the fractions in for [tex]x[/tex] and [tex]y[/tex]:
[tex]-\frac{5}{6} - \frac{4}{3} =-\frac{13}{6}[/tex]
This product is once again a negative, meaning it is incorrect.
Therefore, the second choice is the correct answer.
QUICK I NEED HELP!!!!
Answer: 13%
Step-by-step explanation:
Find the mean average of all the fractions, such as 9/60, and 5/30. You add all of them up and divide it by 5. You should get something like 12.44%, which is closest to 13%.
A bakery is making cupcakes using a cylindrical mold. The cupcake mold has a diameter of 4.5 centimeters and is 3 centimeters tall. Which of the following shows a correct method to calculate the amount of cupcake batter needed to fill the mold all the way to the top? Use 3.14 for π.
V = (3.14)(4.5)2(3)
V = (3.14)(2.25)2(3)
V = (3.14)(3)2(4.5)
V = (3.14)(3)2(2.25)
whats 2 shapes have a ratio of 8 to 6
Answer: star and circle
QUICKLY I NEED HELP!!!!!! NO WRONG ANSWERS!!
Answer:
Step-by-step explanation:
Find the area i need help
Answer:I'm thinking it's 26.
Step-by-step explanation:
7.2 + 6= 13.2
10+2.8= 12.6
12.6+13.2= 26.
im sorry im too lazy to do this so please help :,)
Directions: Use the skills you have learned in the previous lessons to create and solve equations on your own.
Introduction
In everyday real-life situations where there is an unknown quantity, using equations can help solve problems. For example, calculating income over time, mileage rates, and predicting costs of multiple items. Finding the value of an unknown is a valuable skill.
Review
Directions: Create and solve 10 equations of your own
Step-by-step explanation:
The cost of a shirt is $20. If I buy x number of shirts, what will be the total cost?
Equation: Total cost = 20x
The sum of two consecutive odd numbers is 56. What are the numbers?
Equation: x + (x+2) = 56
Solution: x = 27, 29
The perimeter of a square is 32 cm. What is the length of each side of the square?
Equation: 4x = 32
Solution: x = 8
The product of two numbers is 48, and their sum is 16. What are the two numbers?
Equation: xy = 48, x+y = 16
Solution: x = 8, y = 6
The cost of a dozen eggs is $1.50. What is the cost of one egg?
Equation: 12x = 1.5
Solution: x = 0.125
The ratio of the length to the width of a rectangle is 3:4. If the perimeter of the rectangle is 70 cm, what are the dimensions of the rectangle?
Equation: 2(3x) + 2(4x) = 70
Solution: length = 15 cm, width = 12 cm
The sum of two numbers is 45. If one number is twice the other, what are the two numbers?
Equation: x + 2x = 45
Solution: x = 15, y = 30
The length of a rectangle is three times its width. If the area of the rectangle is 180 sq units, what are the dimensions of the rectangle?
Equation: 3x*x = 180
Solution: length = 15 units, width = 5 units
The speed of a boat in still water is 10 km/h. If the speed of the current is 3 km/h, how long will it take the boat to travel 36 km downstream?
Equation: (10+3)x = 36
Solution: x = 3 hours
The ratio of the number of boys to the number of girls in a class is 3:5. If there are 48 students in the class, how many boys and girls are there?
Equation: 3x + 5x = 48
Solution: boys = 12, girls = 20
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100 Points: Please answer all questions correctly.
Mathematics middle school algebra
Answer:
Hope this helps :)
Thanks for answering my questions :D
Step-by-step explanation:
ASAP, help solve this with an explanation
Answer:
x+3 is the answer to this problem.
Step-by-step explanation:
If x > 5, then x + 3 is positive, so we can simplify the absolute value expression |x + 3| by removing the absolute value brackets and keeping the expression inside them:
|x + 3| = x + 3
Therefore, if x > 5, the simplified form of |x + 3| is just x + 3.
Answer:
6
Step-by-step explanation:
the answer has to be 6
SOMEONE HELP PLEASE NO WRONG ANSWERS!! <3
please help... I'm stuck
Here I'll help!
multiply all of those numbers u see thank me later! ( u can use a calculator for multiplying all the sides!
7th grade math I'll give brainliest
Answer:
Step-by-step explanation:
Rise over run is the slope, m
m=2/5
a) the slope is 2/5 = .4 which is below the boundary guideline. So no this is not with in carpenter's guidelines
b) the image below show a line with slope 2/5 but with intercept 3
c) the stairs can be draw on the line with rise 2 run 5 from the line. see image
d)equation is in image
2.
a) count the squares
horizontal distance =3
vertical distance =3
b) slope is vertical distance over horizontal distance so m= 3/3 =1
you will get 50 points please help me
Set A) Calculate the positive and negative values to solve the problems.
1) Jill owes $4 to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?
2) Joey owes $4 to 4 different friends. How much money does he owe altogether?
3) What is the product of -7 and -6?
4) The total bill at a restaurant was $49 to be split evenly among 7 friends. How much money did each friend owe?
5) How much is -81 divided by 9?
6) How much is -100 divided by -10?
7) A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
8) What is the product of -12 and -13?
9) How much is -16 times 4?
10) What is the quotient when -45 is divided by -9?
Set B) Write an equation for each word problem. Then solve the equation
1) What number is 12 less than 35?
Equation: n = 35- 12
Solution: n = 23
2) What number added to 23 equals 41?
Equation:
Solution:
3) What number less 29 is 61?
Equation:
Solution :
4) What number added to 36 equals 53?
Equation:
Solution:
5) What number added to 19 equals 43?
Equation :
Solution:
6) What number divided by 4 equals 12?
Equation:
Solution:
7) What number times 12 equals 96?
Equation:
Solution:
8) What number divided by 8 equals 11?
Equation:
Solution :
9) What number times 19 equals 190?
Equation:
Solution:
10) What number divided into 42 equals 6?
Equation:
Solution:
Step-by-step explanation:
Set A:
Jill owes $12 altogether. ($4 + $4 + $4 = $12)
Positive values: 4, 4, 4
Negative values: None
Joey owes $16 altogether. ($4 + $4 + $4 + $4 = $16)
Positive values: 4, 4, 4, 4
Negative values: None
The product of -7 and -6 is 42.
Positive values: None
Negative values: -7, -6
Each friend owes $7. ($49 ÷ 7 = $7)
Positive values: 49, 7
Negative values: None
-81 divided by 9 is -9.
Positive values: 81, 9
Negative values: -81, -9
-100 divided by -10 is 10.
Positive values: 100, 10
Negative values: -100, -10
The total amount owed by all 18 customers is $270. ($15 × 18 = $270)
Positive values: 18, 15
Negative values: None
The product of -12 and -13 is 156.
Positive values: 12, 13
Negative values: -12, -13
-16 times 4 is -64.
Positive values: 16, 4, 64
Negative values: -16, -4, -64
The quotient when -45 is divided by -9 is 5.
Positive values: 45, 9, 5
Negative values: -45, -9, -5
Set B:
n + 23 = 41
Equation: n = 41 - 23
Solution: n = 18
n - 29 = 61
Equation: n = 61 + 29
Solution: n = 90
x + 36 = 53
Equation: x = 53 - 36
Solution: x = 17
x + 19 = 43
Equation: x = 43 - 19
Solution: x = 24
x/4 = 12
Equation: x = 4 × 12
Solution: x = 48
12x = 96
Equation: x = 96/12
Solution: x = 8
x/8 = 11
Equation: x = 8 × 11
Solution: x = 88
19x = 190
Equation: x = 190/19
Solution: x = 10
x/42 = 6
Equation: x = 42 × 6
Solution: x = 252
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A recipe for fruit salad includes 1/4 cup of grapes for 4 servings. How many cups of grapes are needed for 32 servings of this fruit salad?
Sketch the net of the following figure on a sheet of paper. Write a short description about the net. Upload the net and description.
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 11/2 in. The prism is filled with cubes that have edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, cubes are needed.
Answer:To fill the rectangular prism, 432 cubes are needed.
Step-by-step explanation:
Given, the length of the prism is 9 inches.
The width of the prism is 4 inches.
The height of the prism is inches.
Therefore, the volume of the rectangular prism is
= length × width × height
= 9 × 4 × 1.5 (inches)³
= 54 (inches)³
Again, the edge length of the cube is inches.
Therefore, the volume of the cube is
= (edge length)³
= (0.5)³ (inches)³
= 0.125 (inches)³
Now, the number of cubes that can be fitted inside the rectangular prism is = (volume of the rectangular prism) / (volume of the cube)
=
= 432
Answer:
The cubes required to fill the prism are 1584.
Step-by-step explanation:
The prism has length, width, and height are 9 in, 4 in, and 11/2 in respectively.The prism is filled with cubes that have 1/2 in length edges.The volume of the prism is length x width x height.The volume of the cube is edge length x edge length x edge length.so,
The volume of the prism is:
volume = length x width x height
volume = 9 in x 4in x 11/2 in => 198 in³
The volume of the cube is:
volume = edge length x edge length x edge length
volume = (1/2 in.) x ( 1/2 in.) x (1/2 in.) => 1/8 in³
Number of cubes needed = volume of the prism/volume of a single cube
Number cubes needed = 198 in³ / (1/8 in³)
Number of cubes needed = 1584
Therefore to fill the rectangular prism, 1584 cubes are needed.
To know more about cubes,
brainly.com/question/9757139
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The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
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If you spin the spinner 24 times, what is the best prediction possible for the number of times it will land on yellow?
LOOK AT THE IMAGE
Answer:
0
Explanation:
If the spinner has 4 green sections in a circle and you spin it 24 times, the best prediction for the number of times it will land on yellow is 0. Since there are no yellow sections mentioned, it is unlikely for the spinner to land on yellow.
Answer: 0
Step-by-step explanation:
There's no yellow, so it's not possible to spin yellow.
(0/4)*24=0
PLEASE HELPPPP
a. 2/3
b. 2/4
c. 1/2
d. 1/4
Answer:
I believe the answer is 1/2
Step-by-step explanation:
Because if you flip the coin twice then the probability of it landing on heads twice is a one out of two so that's why the numerator would be 1 and denominator would be 2
Complete the following sentence. Help asap!!
The mode of the data shown on the stem-and-leaf plot is
Answer: The mode of the data shown on the stem-and-leaf plot is 5.1
Step-by-step explanation:
18 POINTS
Tony has $20. He wants to buy at least 4 snacks
Hot dogs(x) are $3 each
Peanuts(y) are $2 each
Complete the inequalities that represent this situation.
Answer:
3x+1y+11
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Select each correct answer.
Responses
1. supplementary angles
2. vertical angles
3. complementary angles
4. adjacent angles
∠A and ∠B are vertical angles. If m ∠A=(x+29) ∘ and m ∠B=(6x−11) ∘ , then find the value of x.
Answer:
Step-by-step explanation:
Vertical angle means same angle .
x + 29 = 6x - 11
5x = 40
x = 8
96 - x = 64
ninety minus ? equals sixty four
Hello!
96 - x = 64
96 - x + x = 64 + x
96 = 64 + x
96 - 64 = 64 + x - 64
x = 32
ninety six minus ? equals sixty four
? = 96 - 64 = 32
Answer: x = 32
Step-by-step explanation: By using inverse operations, you may separate the variable x from the other variables in equation 96 - x = 64. Let's tackle it piece by piece:
Let's begin with the formula 96 - x = 64.
We must get rid of the 96 on the left side of the equation in order to focus on the variable x. 96 can be taken out of both sides of the equation to accomplish this: (96 - x) - 96 = 64 - 96.
To put it simply, -x = -32.
We want to remove the minus sign from the front of x so that we can solve for x. By multiplying both sides of the equation by -1, we can do this:
(-1)(-x) = (-1)(-32).
So, if we simplify, we get x = 32.
As a result, x = 32 is the answer to the equation 96 - x = 64.
help pls :)
a rhombus with a base of 20 centimeters and a height of 18.9 centimeters
What is the area of the rhombus?
378 cm2
189 cm2
126 cm2
77.8 cm2
Step-by-step explanation:
The area of a rhombus is given by the formula A = (1/2)bh, where b is the length of the base and h is the height.
In this case, the base is 20 centimeters and the height is 18.9 centimeters. So, the area of the rhombus is:
A = (1/2)(20)(18.9) = 189 square centimeters
Therefore, the answer is option B: 189 cm2.
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What addition statement does this show?
The addition statement that this number line shows is B) 5 + (-6) = -1.
What is a number line?A number line describes the use of a pictorial representation of numbers on a straight line.
The uses of a number line include:
To compare numbersTo teach number sequenceTo illustrate simple numerical operationsTo perform arithmetic operations on numbers.According to this number line, 5 + (-6) = -1.
Thus, we can conclude that the true statement of the addition operation on this number line is Option B.
Learn more about number lines at https://brainly.com/question/24644930.
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Please help I’m confused
A. 125
B. 15
C. 3
D. 5
hello
the answer to the question is A) 125
(if you need explanation, let me know in the comments)
explanation:
when you'd want to make a three letter password such as:
___ × ___ × ___
you can put 5 different letters in each blank space:
_5_ × _5_ × _5_
hence the answer is:
5 × 5 × 5 = 125