Answer:
trigonometry
Step-by-step explanation:
hope this helps lovely
Tan(12) = 40/d
d = 40/tan(12)
d = 188.19m
Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
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Answer:</h2>
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Step-by-step explanation:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find . Since:
and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:
By Pythagorean theorem, for triangle NQP:
Applying Pythagorean theorem again, but for triangle MQN:
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78