Answer:
The area of the triangle is of 6 units squared.
Step-by-step explanation:
Representation of the triangle:
This triangle, in the cartesian plane, has the vertices at these following points.
(7,7)
| -> 4 units down
(7,3) --- (10,3) -> 3 units to the right.
This can be represented as a right triangle with sides 4 and 3.
Area of a right triangle:
The area of a right triangle is the multiplication of the lengths of its sides divided by 2. So
4*3/2 = 12/2 = 6.
The area of the triangle is of 6 units squared.
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
Answer:
a) 150 pounds
b) 6.75
c) 156.25
d) 0.177
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 150 pounds
Standard Deviation, σ = 27 pounds
We are given that the distribution of weight of persons on campus is a bell shaped distribution that is a normal distribution.
a) expected value of the sample mean of their weights
b) standard deviation of the sampling distribution
c) average weight for these 16 people will result in the total weight exceeding the weight limit of 2500 points
d) P(sample of 16 persons on the elevator will exceed the weight limit)
Formula:
P(x > 156.25)
Calculation the value from standard normal z table, we have,
0.177 is the probability that a random sample of 16 persons on the elevator will exceed the weight limit.
Answer:
88 because I just solved it on a white board
Here is you're answer:
In order to solve this equation you need to convert 1/3 into a decimal and then compare to see which decimal is greater.
- Convert into a decimal:
- Now compare:
Therefore you're answer is "1/3 is greater."
Hope this helps!