Answer:
-$0.16
Step-by-step explanation:
The expected value is the sum of the outcomes multiplied by their probabilities.
E(X) = 1/38 (+68) + 37/38 (-2)
E(X) = -0.16
Answer:
- D. 2x² + 10xy + 8x² because (2x+ 2y) by (x + 4y)
Step-by-step explanation:
Let's mark the sides of the big square as x and a small square as y
<em>See attached picture below</em>
<u>Then we will have the sides of the rectangle:</u>
- x + x + y + y = 2x + 2y
- and
- x + y + y + y + y = x + 4y
<u>The area of the figure is:</u>
- A = lw
- A = (2x+ 2y)(x + 4y)
- = 2x² + 8xy + 2xy + 8y²
- = 2x² + 10xy + 8x²
Correct option is D.
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Answer:
B
Step-by-step explanation:
Perpendicular lines have opposite-reciprocal slopes
So if I had a slope of 2, the perpendicular slope would be -1/2.
Or if I had a slope of -7, the reciprocal is -1/7 and the opposite would be 1/7.
Hope this helps!
Answer:
20 years
Step-by-step explanation:
<u>Continuous Compounding Formula</u>

where:
- A = Final amount
- P = Principal amount
- e = Euler's number (constant)
- r = annual interest rate (in decimal form)
- t = time (in years)
Given:
- A = $10,000
- P = $5,000
- r = 3.5% = 0.035
Substitute the given values into the formula and solve for t:









Therefore, it will take 20 years (to the nearest year) for the initial investment to double.