Answer:
∠s = ∠v
Step-by-step explanation:
Supplementary angles add up to 180°
∠s + ∠v = 180
90 + ∠v = 180
∠v = 180 - 90
∠v = 90°
⇒∠s ≅ ∠v
Answer:
gffghjjdfdgfgjgfdgj
Step-by-step explanation:
Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.
For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- She buys 5 boxes, hence
- 1 in 4 boxes has a prize, hence
The probability is:
Hence:
Then
0.6328 = 63.28% probability that she wins at most 1 prize.
A similar problem is given at brainly.com/question/24863377
Answer:
256 cm^2
Step-by-step explanation:
The area of the rectangle is the product of its length and width.
A = (16 cm)(10 cm) = 160 cm^2
The area of each triangle is half the product of its base and height.
A = (1/2)(16 cm)(6 cm) = 48 cm^2
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Then the area of the rectangle and 2 triangles is ...
160 cm^2 + 2(48 cm^2) = 256 cm^2
The area of the composite figure is 256 cm^2.