Answer:
The boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 450
Standard Deviation, σ = 50
We are given that the distribution of time for fitness test is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.10
P(X<x) = 0.10
Calculation the value from standard normal z table, we have,
Hence, boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.
Answer: First Option
a) exponential function going through point (0, 2) and ending up on the right
Step-by-step explanation:
Look at the attached image, the red line represents a function of the form:
Note that this function cuts to the axis and at the point (0, 1)
Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.
If we perform the transformation 
then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)
The transform function is 
Finally the answer is the first option
Answer:
It is exponential growth.
Step-by-step explanation:
6/5 is greater than 1.
Answer:
the probability is 8/15 depending on whether the problem counts the drawing one out of the bag as one gone. Leaving the first one drawn, the probability would be 3/5.
Step-by-step explanation:
number of action movies/total number of movies= 9/15=3/5
3/5 is the probability of drawing an action movie from the bag. However, since you just drew one out, the fraction changes to 8/15.
10 crayons in all.
P (red) = 4/10 or 2/5
P (2nd red) = 3/9 =1/3 since there are only 9 crayons left from which to choose and only three of them are red (since we already pulled one).
2/5 x 1/3 = 2/15 = P (2 red) with no replacement.
