A fair coin is flipped 100 times and the results are recorded in the table below.
Which statement is correct?
A) The theoretical probability of the coin landing on heads is 7/20.
B) The experimental probability of the coin landing on tails is 1/2.
C) The theoretical probability of the coin landing on tails is 1/2.
D) The experimental probability of the coin landing on heads is 13/20.

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint.

To paint one 10 ft by 10 ft room, Carlos uses 3/4 gallons of paint. To find how many rooms Carlos can paint with the available 4 1/2 gallons of paint, we divide the total paint available by the paint used per room.
Number of rooms = Total paint available / Paint used per room
Number of rooms = 4 1/2 / 3/4
Number of rooms = 9/2 / 3/4
To divide fractions, multiply by the reciprocal of the divisor
Number of rooms = 9/2 * 4/3
Number of rooms = 36/6
Number of rooms = 6

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint. Therefore, the correct answer is C. 6 rooms.

The total interest paid on a $20,000 loan at 5% simple interest over 4 years is $4,000.

To solve part (a) of the question, we calculate the amount of interest paid on a $20,000 loan over 4 years with a 5% simple interest rate:

Calculate the annual interest: $20,000 * 5% = $1,000.

Multiply the annual interest by the number of years: $1,000 * 4 years = $4,000.

The total interest paid after 4 years is $4,000.

For part (b), to find the interest saved by paying off the loan after 3 years instead of 4 years, we do the following:

Calculate the interest for 3 years: $1,000  imes 3 years = $3,000.

Deduct the 3-year interest from the 4-year interest: $4,000 - $3,000 = $1,000.

The interest saved by paying the loan off after 3 years is $1,000.

To round 0.482 to one significant figure, consider the first non-zero digit '4' and round up to '5' because the next digit is '8', giving you 0.5.

To round off the number 0.482 to one significant figure, you look at the first non-zero digit, which is '4' in this case. Since the digit to the right of '4' is '8', which is greater than 5, you round up the '4' to '5'. Therefore, 0.482 rounded to one significant figure is 0.5.

Using examples from provided references:

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

To find the factors of a number, we identify all the whole numbers that can be divided evenly into the original number.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Thus the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The expression and the evaluation are that represents the total amount of time should be

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

and 215 minutes.  

Given that,

Based on the above information, the calculation is as follows:

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

= 215 minutes

Therefore we can conclude that the expression that represents the total amount of time should be 215 minutes.  

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To determine how long the pizzeria's cheese supply will last, we divide 250 pounds by the daily usage of 20 5/6 pounds, which equals approximately 12 days.

To calculate how long the pizzeria's 250 pounds of mozzarella cheese will last, given that they use 20 5/6 pounds of cheese every day, we have to divide the total amount of cheese by the daily usage. The fraction 5/6 needs to be converted to a decimal for ease of calculation. So 5/6 is approximately 0.833. Therefore, the daily usage is 20 + 0.833, which is 20.833 pounds.

Next, we divide the total amount of cheese by the daily usage to find how many days the cheese will last:

250 ÷ 20.833 ≈ 12 days

Therefore, the mozzarella cheese will last for approximately 12 days.

The total cost is $50.74

A percentage is a number that tells us how much out of 100.

43*118% = 43*1.18 = 50.74

Hence, The total cost is $50.74

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To solve this problem, we can set up an equation using the given information and solve for x. The original amount of almonds in Bag B was 40 ounces.

To solve this problem, we can set up an equation using the given information. Let's assume that the original amount of almonds in Bag A is 8x ounces and the original amount of almonds in Bag B is 5x ounces.

After 12 ounces of almonds are transferred from Bag A to Bag B, the amount of almonds in both bags becomes the same. This means that the amount of almonds in Bag A is now 8x - 12 ounces and the amount of almonds in Bag B is now 5x + 12 ounces.

Setting up an equation based on the ratios, we have:

8x - 12 = 5x + 12

Solving for x, we find that x = 8.

Therefore, the original amount of almonds in Bag B was 5x = 5(8) = 40 ounces.

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The answer is $3.15.

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples, calculated by subtracting 3.7 pounds (Golden Delicious) from 4.54 pounds (Fuji).

Mateo bought 4.54 pounds of Fuji apples and 3.7 pounds of Golden Delicious apples. To find out how many more pounds of Fuji apples he bought than Golden Delicious apples, you can simply subtract the weight of the Golden Delicious apples from the weight of the Fuji apples:

4.54 pounds (Fuji apples) - 3.7 pounds (Golden Delicious apples) = 0.84 pounds.

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples. This means that he purchased nearly 0.84 pounds extra of Fuji apples compared to the Golden Delicious variety.

It's important to remember that this calculation involves a straightforward subtraction of weights and doesn't require any complex mathematical operations. So, Mateo purchased approximately 0.84 pounds more of Fuji apples than Golden Delicious apples.

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Answer:

The circumference of the lamp shade is 57 inches.                      

Step-by-step explanation:

Given : A lamp shade has a radius of 9 inches.

To find : The circumference of the top of the shade

Solution : A lamp shade is in a sphere form,

So, formula to find the circumference of sphere is

[tex]C=2\pi r[/tex]

Now, the radius of lamp is 9 inches and [tex]\pi=3.14[/tex]

Substitute the value in the formula we get,

[tex]C=2\pi r[/tex]

[tex]C=2\times 3.14 \times 9[/tex]

[tex]C=56.52[/tex]

Round to nearest whole number circumference is 57 .

Therefore,The circumference of the lamp shade is 57 inches.

To find an equivalent fraction to 2/5 with a denominator of 15, multiply both the numerator (2) and the denominator (5) by 3, resulting in the fraction 6/15.

To find a fraction equivalent to 2/5 that has a denominator of 15, we need to scale up the original fraction so that the denominator becomes 15. This is done by finding a number that you can multiply the denominator by to get 15. Since 5 × 3 = 15, we multiply both the numerator and denominator of 2/5 by 3 to maintain the same value.

Here's the calculation:

Therefore, the fraction that is equivalent to 2/5 with a denominator of 15 is 6/15.