45 degrees because vertical angles are congruent
9514 1404 393
Answer:
26.13 ft²
Step-by-step explanation:
The total area is twice the area of the right triangles plus half the area of a circle of radius 3 ft.
Semicircle area = (1/2)(πr²)
semicircle area = (1/2)(3.14)(3 ft)² = 14.13 ft²
The area of the two right triangles is ...
total triangular area = (3 ft)(4 ft) = 12 ft²
Then the area of the figure is ...
figure area = semicircle area + total triangular area
= 14.13 ft² + 12 ft² = 26.13 ft²
Let f(x) represents the heart beat of the person.
Now, we have been given that person’s theoretical maximum heart rate is given by 220 - x.
Also, we have been given that person strive for a heart rate that is at least 50% of the maximum. At least means greater than equal to.
Thus, we have

Also, we have been given that person strive for a heart rate that is at most 75% of the maximum. At most means less than equal to.
Therefore, the system of inequality is given by

Answer:
x=10
Step-by-step explanation:
x/2 + 10 = 35 - 2x
x/2 + 2x = 35 - 10
5x/2 = 25
5x = 25.2
5x = 50
x = 50/5
x = 10
P = 10% = 0.1
q = 1 - 0.1 = 0.9
P(at least one defective calculator) = P(1) + P(2) + P(3) + P(4) = 1 - P(0)
The brobability of a binomial distribution is given by

where: n = 4

Therefore,
P(at least one defective calculator) = 1 - 0.6561 = 0.3439