Answer:
The proportion is 
= 0.41 or 41%
Step-by-step explanation:
Hello!
The expected proportion is calculated as "the number the event of interest has occurred"(i.e. success) divided the total of trials.
In this case, your success is the number of times your friend guessed a card correctly in 100 trials.
The proportion is = 0.41 or 41%
I hope it helps!
Answer:
The dimensions are 9m by 18 m
Step-by-step explanation:
The perimeter will be
x+y+x for the three sides ( the wall is the fourth side)
2x+y = 36
Solving for y
y = 36-2x
The area is x*y and we want it maxed
A =x( 36-2x)
36x-2x^2
Taking the derivative
dA /dx = 36 - 2 * 2x
Setting this equal to zero to find the max
0 = 36 - 4x
4x = 36
Divide by 4
x = 36/4
x = 9
Now find y
y = 36-2x
y = 36 - 2*9
y = 36 - 18
= 18
The dimensions are 9m by 18 m
Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
Where
slope
So, considering the following equations
The following equations have the same slope
and
Because: implies that:
for and
Let x represent the gallons of water that is 10% salt.
Let y represent the gallons of water that is 25% salt.
Now, write the system of equations:
x + y = 10
.10x +.25y = 0.20 • 10
1) To make the system easier to solve, multiply all the terms in .10x +.25y = 0.20(10) by 100 to make them integers.
10x + 25y = 20 • 10
10x + 25y = 200
2) Solve for x.
x + y = 10
x = 10 - y
3) Substitute x with 10 - y in the other equation.
10(10 - y) + 25y = 200
100 - 10y + 25y = 200
Combine like terms.
100 + 15y = 200
Subtract 100 from both sides.
15y = 100
y = 20/3 or 6 2/3
4) Now that we have the numerical value of y, solve for the value of x by substituting once more.
a) x + y = 10
x + 20/3 = 10 or x + 6 2/3 = 10 (either equation is fine)
x = 10/3 or x = 3 1/3
The manager should combine 3 1/3 (3.33) gallons of 10% salt water and 6 2/3 (6.67) gallons of 25% salt water.
5) Always check the answers to make sure.
a) x + y = 10
3 1/3 + 6 2/3 = 10
9 3/3 = 10
10 = 10
b) .10x +.25y = 0.20 • 10
.10(3 1/3) +.25(6 2/3) = 0.20 • 10
1/3 + 5/3 = 2
6/3 = 2
2 = 2
Answer:
22,-89
Step-by-step explanation:
let the numbers be x and y .
x+y=-45
x-y=-89
add
2x=--134
x=-67
-67+y=-45
y=-45+67=22
