Answer:
what?
Step-by-step explanation:
Answer:
0.5160
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
Step-by-step explanation:
a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.
a = (145 + 45)/2 = 190/2 = 95°
b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).
b = 180 - 95 = 85°
Answer:
120 cm squared
Step-by-step explanation:
To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle
we can find the rectangle side by doing
21-6=15
then multiply it
15*8=120