Answer:
Equation in square form:
Extreme value:
Step-by-step explanation:
We are given
we can complete square
we can use formula
now, we can add and subtract 5^2
So, we get equation as
Extreme values:
we know that this parabola
and vertex of parabola always at extreme values
so, we can compare it with
where
vertex=(h,k)
now, we can compare and find h and k
we get
h=-5
k=-4
so, extreme value of this equation is
Answer:
Probability that their mean height is less than 68 inches is 0.0764.
Step-by-step explanation:
We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.
Also, 16 men are randomly selected.
<em>Let </em><em> = sample mean height</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean height = 69 inches
= population standard deviation = 2.8 inches
n = sample of men = 16
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( < 68 inches)
P( < 68 inches) = P(
<
) = P(Z < -1.43) = 1 - P(Z
1.43)
= 1 - 0.9236 = 0.0764
<em>Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>
Therefore, probability that their mean height is less than 68 inches is 0.0764.
Answer:
D is the answer
64,000 exponential function
Step-by-step explanation:
64,000 exponential function
The number of bacteria in a colony doubles every 210 minutes.
The population of bacteria = 8000
Determine how many times the population will double.
= 3
Multiply the population by 2 a total of 3 times.
8000 × 2³ = 64,000