The probability that the randomly selected student is female or Physics major is 0.625.
Given Information
Total number of students = 40
Number of Physics major out of the total students, P = 15
Number of females in the class, F = 16
Number of females that are Physics major, (P∩F) = 6
We have to find the probability P(P∪F).
Calculating the Probability
Probability of Physics major students, P(P) = 15/40
= 0.375
Probability of female students, P(F) = 16/40
= 0.4
Probability of female students who are Physics major, P(P∩F) = 6/40
= 0.15
Since, we know that,
P(P∪F) = P(P) + P(F) - P(P∩F)
∴ P(P∪F) = 0.375 + 0.4 - 0.15
P(P∪F) = 0.625
Thus, the probability that the randomly selected student will be a Physics major or a female is 0.625
Learn more about probability here:
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Answer:
1. sin(x) = a/c; cos(x) = b/c; tan(x) = a/b
2, 3 see below
Step-by-step explanation:
1. The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and sides of a right triangle:
Sin = Opposite/Hypotenuse ⇒ sin(x) = a/c
Cos = Adjacent/Hypotenuse ⇒ cos(x) = b/c
Tan = Opposite/Adjacent ⇒ tan(x) = a/b
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2. The attachment shows the two special right triangles. The 30-60-90 right triangle has sides in the ratio 1 : √3 : 2. The 45-45-90 isosceles right triangle has sides in the ratio 1 : 1 : √2.
These ratios can be used to write proportions that help you find the length of a missing side.
<em>Example</em>:
Suppose the triangle in problem 1 has x = 30°, and a = 10. Then we could find the length of missing side 'c' using a proportion involving the short side and the long side (hypotenuse).
2/1 = c/10 ⇒ c = 20
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3. In a right triangle, the acute angles are complementary. The side adjacent to one acute angle is the side opposite the other. So the sine of one of the angles is the cosine of the other, and vice versa. This means the sine of an angle is the cosine of its complement, and vice versa.
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<em>Comment on question 3</em>
The wording of this question is a little strange. Sine and cosine are not complementary. Rather, the angles for which those functions have the same value are complementary.
Answer:
20
Step-by-step explanation:
First, let's find how much she spent on the expensive calculators
40 times $16400= $656,000
Now, lets find how much money she had for the cheap calculators.
$774,000- $656,000=$118000
Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.
$118000/$5900=20
If you like my answer, please mark me as a brainliest! (I am new to this community.)
Answer:
which questions
Step-by-step explanation:
a or b or c