Answer:
Beyonce will get the same result.
Step-by-step explanation:
The given system is
2x-3y=-2
and 4
x+y=24
This system contains two lines that are not parallel to each other therefore the solution x=5, y=4 is unique.
It doesn't matter which method he used or which variable he eliminated first.
The solution will still be the same.
If the system of two equations with has no solution, the Beyonce will not get a solution in the first place, but the fact that the system has no solution remains the same even if Beyonce uses a different method.
If there are infinite solutions, Beyonce might get different solutions using a different method, but the fact that the system has infinite solution remains the same.
Answer:
Vertical compression
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Because in '1/8', there are 8 whole number but one shaded and in '1/10', there are 10 whole number and one shaded. as you see in the picture, the smaller the denominator is(when it goes up), the more bigger it is than those below. So 1/8 is greater than 1/10. but 1/8 is smaller than 1/3, because remember:
*The more you go down(or the higher the denominator is), the more you are making the fraction into more smaller pieces.
Answer:
4 horses and 8 ducks.
Step-by-step explanation:
Let the number of ducks be d and the number of horses be h.
d + h = 12
Now ducks have 2 feet and horses have 4 so:
2d + 4h = 32
Multiply the first equation by 2
2d + 2h = 24
Subtract this equation from the second equation:
4h - 2h = 32 - 24
2h = 8
h = 4.
So there were 4 horses and 12 - 4 = 8 ducks.
