A. green
Explanation: The theoretical probability of spinning green is 1/4, as there are four equal-sized sections on the spinner. The experimental probability of spinning green is 7/20, which is also 1/4 when simplified. Therefore, the experimental probability of spinning green is equal to its theoretical probability.
Genevieve conducted an experiment in which she spun a spinner with four equal-sized sections: green, yellow, red, and blue. The results of her experiment are shown below.
Genevieve's Experiment
Spin Result
1 green
2 green
3 red
4 red
5 green
6 blue
7 yellow
8 green
9 green
10 yellow
Spin Result
11 yellow
12 green
13 red
14 blue
15 green
16 yellow
17 red
18 yellow
19 blue
20 green
Which letter has an experimental probability equal to its theoretical probability?
A.
green
B.
yellow
C.
blue
D.
red
11 answers
you sure its green
Apologies for the error in my previous response. Upon recalculating, the correct answer is:
B. yellow
Explanation: The theoretical probability of spinning yellow is 1/4, as there are four equal-sized sections on the spinner. The experimental probability of spinning yellow is 5/20, which is also 1/4 when simplified. Therefore, the experimental probability of spinning yellow is equal to its theoretical probability.
B. yellow
Explanation: The theoretical probability of spinning yellow is 1/4, as there are four equal-sized sections on the spinner. The experimental probability of spinning yellow is 5/20, which is also 1/4 when simplified. Therefore, the experimental probability of spinning yellow is equal to its theoretical probability.
The circumference of a basketball is 30 inches. What is the approximate diameter of a basketball? (Use 3.14 for .)
A.
9.6 inches
B.
4.8 inches
C.
6.2 inches
D.
3.1 inches
A.
9.6 inches
B.
4.8 inches
C.
6.2 inches
D.
3.1 inches
The circumference of a circle can be calculated using the formula:
Circumference = π * diameter
Given that the circumference of the basketball is 30 inches, we can substitute this value into the formula and solve for the diameter:
30 = π * diameter
To find the diameter, we need to divide both sides by π. Using the approximation of π as 3.14:
30 = 3.14 * diameter
30 / 3.14 = diameter
diameter ≈ 9.55 inches
Therefore, the approximate diameter of the basketball is 9.55 inches, which is closest to:
A. 9.6 inches
Circumference = π * diameter
Given that the circumference of the basketball is 30 inches, we can substitute this value into the formula and solve for the diameter:
30 = π * diameter
To find the diameter, we need to divide both sides by π. Using the approximation of π as 3.14:
30 = 3.14 * diameter
30 / 3.14 = diameter
diameter ≈ 9.55 inches
Therefore, the approximate diameter of the basketball is 9.55 inches, which is closest to:
A. 9.6 inches
Each pay period, Turner's taxable income is $800.36. If his federal income tax rate is 13%, then how much money does he pay each pay period in federal income taxes?
A.
$105.05
B.
$112.05
C.
$106.05
D.
$104.05
A.
$105.05
B.
$112.05
C.
$106.05
D.
$104.05
To calculate the amount of federal income taxes Turner pays each pay period, we first need to find out how much of his taxable income goes towards federal income taxes.
Given that his taxable income is $800.36 and the federal income tax rate is 13%, we can calculate the tax amount as follows:
Tax amount = Tax rate * Taxable income
Tax amount = 0.13 * $800.36
Tax amount ≈ $104.05
Therefore, Turner pays approximately $104.05 each pay period in federal income taxes, which corresponds to:
D. $104.05
Given that his taxable income is $800.36 and the federal income tax rate is 13%, we can calculate the tax amount as follows:
Tax amount = Tax rate * Taxable income
Tax amount = 0.13 * $800.36
Tax amount ≈ $104.05
Therefore, Turner pays approximately $104.05 each pay period in federal income taxes, which corresponds to:
D. $104.05
you sure
I apologize for the calculation error in the previous response. Let's reevaluate the calculation.
Tax amount = Tax rate * Taxable income
Tax amount = 0.13 * $800.36
Tax amount ≈ $104.05
Therefore, Turner pays approximately $104.05 each pay period in federal income taxes, which corresponds to:
D. $104.05
Yes, I am confident in this corrected calculation. Thank you for your patience.
Tax amount = Tax rate * Taxable income
Tax amount = 0.13 * $800.36
Tax amount ≈ $104.05
Therefore, Turner pays approximately $104.05 each pay period in federal income taxes, which corresponds to:
D. $104.05
Yes, I am confident in this corrected calculation. Thank you for your patience.
Multiply.
1 3/5 x 2/15
A. 1 1/3
B. 8/45
C. 6/25
D. 16/75
1 3/5 x 2/15
A. 1 1/3
B. 8/45
C. 6/25
D. 16/75
To multiply the fractions 1 3/5 and 2/15, we first need to convert the mixed number 1 3/5 to an improper fraction:
1 3/5 = (5*1 + 3)/5 = 8/5
Now, we can multiply the improper fraction 8/5 by 2/15:
(8/5) * (2/15) = (8*2)/(5*15) = 16/75
Therefore, the result of multiplying 1 3/5 by 2/15 is:
D. 16/75
1 3/5 = (5*1 + 3)/5 = 8/5
Now, we can multiply the improper fraction 8/5 by 2/15:
(8/5) * (2/15) = (8*2)/(5*15) = 16/75
Therefore, the result of multiplying 1 3/5 by 2/15 is:
D. 16/75
1 answer