Answer:
The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.5 inches
Standard Deviation, σ = 3.3
We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.25
Calculation the value from standard normal z table, we have,
Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.
Answer: There are 60 ways that they can travel to the concert.
Step-by-step explanation:
Since we have given that
Number of people want to go to a concert = 12
Number of cars = 3
Number of drivers in the group = 5
So, using the "Fundamental theorem of counting":
We get that

Hence, there are 60 ways that they can travel to the concert.
Answer: It shows the formula for "Amount" using the compound interest formula.
Step-by-step explanation:
Since we have given that
The expression :

So, it can be rewritten as

Here, initial investment = $ 10785
Rate of interest = 2.75%
Number of years = x
So, it shows the formula for "Amount" using the compound interest formula.
Given:
Scatter plot of weight loss plan.
To find:
how many pounds were lost per month with 4 hours of weekly.
Solution:
Take any two points on the trend line.
Let the points are (3, 4) and (5, 7).
Slope of the line:



m = 1.5
Using point-slope formula:



Add 4 on both sides.

Approximate equation of a line is y = 1.5x - 0.5
Substitute x = 4.
y = 1.5(4) - 0.5
y = 6 - 0.5
y = 5.5
Which is nearly equal to 6.
Also see in the scatter plot, y-value for the corresponding value of 4 in x-axis is 6.
Hence 6 pounds lost per month with 4 hours of weekly aerobic activity.
Answer:
y = (1/2)x + 3
Step-by-step explanation:
The points are separated by 1 vertical unit for each 2 horizontal units, so the slope of the line through them is ...
slope = vertical change / horizontal change = 1/2
There is a point on the y-axis at y=3 where x=0, so we know the y-intercept of the line is 3. Then, in slope-intercept form, the equation of the line can be written ...
y = slope · x + y-intercept
y = (1/2)x + 3