Answer:
At least 6907 people.
Step-by-step explanation:
Population std deviation = sigma= 10.6
Since population std deviation is known, we can use normal probability table to get sample size from confidence interval.
The sample mean weight loss is within 0.25 lb of the true population mean.
Hence margin of error < 0.25
Margin of error = z critical (std dev/n) where n = sample size
Z critical for 95% = 1.96
Hence 0.25 >1.96(10.6)/sq rt n
Simplify to get
sq rt n > 1.96(10.6)/0.25 = 83.104
Square both the sides to get
n > 83.104 square = 6906.27
i.e. sample size should be atleast 6907.
Hi there!
In order to solve for x, we'll need to use a trigonometry ratio. In this case, we'll use tangent, which is opposite over adjacent.
Here is our equation:
tan(37)/1 = x/2.1
Cross-Multiply:
x = tan(37) * 2.1
Solve:
x = 1.8 (rounded to the nearest tenth)
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
54 cm
Step-by-step explanation:
Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):
A = 1/2 (h) (b1 + b2)
5350 = 1/2 (h) (135 + 65)
5350 = 1/2 (h) (200)
5350 = h (100)
5350/100 = h
h = 53.5
h ≈ 54 cm
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
