The total number of leaves that was collected by Lisa is the product of the number of days in a week and the number of leaves she collected per tree. This is shown below,
(7 trees / week) x (7 leaves / 1 tree) = 49 leaves / week
Thus, Lisa collected 49 leaves in a week.
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x 
0 
=0.1215
1 
=0.008
2 
=0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Answer:
Step-by-step explanation:
Given:
The number of men receiving degrees (in thousands)
y = 3.8x + 441
The number of women receiving degrees (in thousands)
y = 14.4x + 311
y = 14.4x + 311
y = 3.8x + 441
Solving the above equations simultaneously,
3.8x + 441 = 14.4x + 311
10.6x = 130
x = 12.24
Inputting the value of x into the initial equation to find y,
y = 3.8(12.26) + 441
= 487.6
Therefore, the point (12.26 , 487.6) will be the solution of our given equations.
Answer:
2)
Step-by-step explanation:
Volume of box = length * width * height
= 40 * 10 * 24
= 9600 cubic inches
Answer:
x=5
Step-by-step explanation:
Move the constant to the right-hand side and change its sign. Then subtract the numbers.
