Answer:
B. 0.0028
Step-by-step explanation:
This is a binomial distribution. We could use a calculator to find the probability, or, since the sample size is large enough and both np and nq are larger than 10, we can approximate this as a normal distribution.
To do so, we first find the mean and standard deviation.
μ = np = (0.02) (1500) = 30
σ = √(npq) = √(0.02 × 0.98 × 1500) = 5.42
Now we find the z-score:
z = (x − μ) / σ
z = (45 − 30) / 5.42
z = 2.77
Finally, we use a z-score table to find the probability.
P(z > 2.77) = 1 − P(z < 2.77)
P(z > 2.77) = 1 − 0.9972
P(z > 2.77) = 0.0028
D x1 + x2/2, y1 + y2/2
D 4 + 10/2, 8 + -2/2
D = (7, 3)Hope I helped!
Answer: The answer is 10. X = 10.
Step-by-step explanation:
Answer:
i=7.6h, 60.8 inches (B)
Step-by-step explanation:
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2