Answer:
The best estimate of the probability of getting a green marble from this bag of 50 marbles is 1/3.
Step-by-step explanation:
Andre gets 1 green marble out of 4 trials.
For Andre, the probability of getting 1 green marble is 1/4.
Jada gets 5 green marbles out of 12 trials.
For Jada, the probability of getting 1 green marble is 5/12.
Noah gets 3 green marbles out of 9 trials.
For Noah, the probability of getting 1 green marble is 3/9.
Hence, the best estimate of the probability of getting a green marble from this bag = (1/4 + 5/12 + 3/9)/3 = [(9 + 15 + 12)/36]/3 = 1/3.
Answer:
Option B (35°).
Step-by-step explanation:
To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!
- The area of Kayla's dollhouse upstairs = 15.15 square feet
- The area of Kayla's dollhouse downstairs = 6.45 square feet
- To find the estimated Total area of Kayla's dollhouse, we would apply the Addition Operation
- The estimated total area is calculated using the formula :
Area of the dollhouse upstairs + Area of the dollhouse downstairs
Rounding to the decimals to the nearest tenth
- The area of Kayla's dollhouse upstairs to the nearest tenth = 15.2 square feet
- The area of Kayla's dollhouse downstairs to the nearest tenth = 6.5 square feet
15.2 square feet + 6.5 square feet = 21.7 square feet
The estimated total area of Kayla's dollhouse is 21.7 square feet
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