Answer:
Expectation=240
standard deviation=3.098
Step-by-step explanation:
This is a binomial probability function with n=250 and probability of success is 96%
-The expected value is calculated as:
Hence, the expected germination is 240 seeds
b. From a above, we have the value of p=0.96 and n=250.
The standard deviation of germination is therefore calculated using the formula:
Hence, the standard deviation of germination is 3.098
This is the concept of volume of solid materials. Volume is of a rectangular prism is given by:
volume=length*width*height
length=6 units
width=3 units
height=4 units
thus;
volume=6*3*4=72 cubic units
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
His score is 50
How to:
First test grade:0
Second test grade:50
Third test grade: 100
Add all three and divide by 3
