Answer:
D)90
Step-by-step explanation:
First you work out 3^4 which is 81.
Then add 9 to it and it becomes 90.
Answer:
80 square meters
Step-by-step explanation:
A rectangle that is partitioned into two rectangles; rectangle A and rectangle B
Rectangle A:
Top = 5 meters
Side = 8 meters
Area of rectangle A = length × width
= 5 meters × 8 meters
= 40 meters ²
Rectangle B:
Top = 5 meters
Side = 8 meters
Area of rectangle B = length × width
= 5 meters × 8 meters
= 40 meters ²
Total area of the partitioned rectangle = area of rectangle A + area of rectangle B
= 40 meters ² + 40 meters ²
= 80 meters ²
<h3>
Answer: Choice C</h3>
P = 11/40 + 1/4 - 1/20
=========================================================
Explanation:
The formula we use is
P(A or B) = P(A) + P(B) - P(A and B)
In this case,
- P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
- P(B) = 20/80 = 1/4 = probability of picking someone taking French
- P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes
So,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 11/40 + 1/4 - 1/20
which is why choice C is the answer
----------------
Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.
Answer:
55 = 5 × 11
Step-by-step explanation:
The only prime factors of 55 are 5 and 11, thus
55 = 5 × 11
Lan is 146 centimeters tall now.
<u><em>Explanation</em></u>
Let, Lan's current height is
centimeters
As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height =
centimeters and Jim's current height =
centimeters.
Every month, their heights increase by 2 centimeters.
So, after 5 months.....
Lan's height =
centimeters,
Lisa's height =
centimeters and
Jim's height =
centimeters
Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

So, the current height of Lan is 146 centimeters.