Answer:
Coordinate Q is (0.8, 0.7)
Step-by-step explanation:
We are told that the coordinates of point Pare (0.6,0.1).
This means that along the x-axis, x = 0.6 and along the y-axis, y = 0.1.
Now, by inspection of the graph, we can see that when we count boxes from the origin to the point P, we have 6 boxes. Thus, each box corresponds to 0.1. So, for point Q, from the origin to that point, on the x-axis, we have 8 boxes. Since one box = 0.1, then the x - value of Coordinate Q is 0.8.
On the y - axis, we see that we have one box from the origin up for the corresponding y-value of coordinate P.
This means that one box is 0.1.
For coordinate Q, we will count 7 boxes. Thus, y-value of coordinate Q is 0.7.
Thus,coordinate Q is (0.8, 0.7)
Answer: 13300
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Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
Answer:
$20.01
Step-by-step explanation:
x 69
------ × --------
290 100
69 = 33 + 36
multiply 290 ×69 then divide by 100 to find c
Answer:
The difference of two numbers using identity 
is 4.
Step-by-step explanation:
Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.
To find the difference of two numbers using identity
Let the two numbers be a and b, then
Given that the sum of the numbers is 12
that is a + b = 12 .........(1)
Also, given the difference of the squares of the numbers is 48.
that is 
..........(2)
Using given identity
We have 
Substitute the known values, we have,
Divide both side 12 , we have,
Thus, the difference of two numbers using identity is 4.
Answer:
The ladder should be 34 feet long.
Step-by-step explanation:
The height of the spotlight above ground = 30 feet
The base of the ladder will be = 16 feet from the base of house
We can easily assume this to be a right triangle with perpendicular as 30 feet and base as 16 feet and we have to find the hypotenuse.
Lets say the length of the ladder or hypotenuse is = x
We will apply Pythagoras theorem here.
=> 
=> 
=> 
So, x = 34
Hence, the ladder should be 34 feet long.
