Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so
we have
Find the height of the right triangle applying the Pythagorean Theorem
The radius of the semicircle is half the height of triangle
substitute in the formula
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Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees
Answer:
Step-by-step explanation:
Total = 50
Males = 20
Females = 30
a) P(exactly 1 female) = P(1 female , 2 male)
(30C1 * 20C2) / (50C3) = 30*190/19,600 = 0.2908
b) P(at least 2 males) = 1 - (P(0 males) + P(1 males))
= 1 - 30C3 * 20C0/50C3 - 30C2 * 20C1/50C3
= 1 - 4060*1/19,600 - 435*20/19,600 = 6840/19600 = 0.3489
