Answer:
108.88
Step-by-step explanation:
Given that:
Equation of Regression line obtained for couple's IQ:
y=9.88+0.9x
x represents the IQ score of the husband
The best predicted IQ of wife Given that husband's IQ is 110
y = 9.88 + 0.9(110)
y = 9.88 + 99
y = 108.88
Answer:
And we can find this probability using the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel:
Answer:
x = 1
y= -2
Step-by-step explanation:
to solve this system of equation , simultaneously using the substitution method
we say let
7 x + y = 5 ............................................. equation 1
2x - y = 4 ................................................... equation 2
from equation 2
2x - y = 4 ................................................... equation 2
2x - 4 = y
y = 2x -4.......................................................... equation 3
put the value of the y = 2x -4 into equation 1
7 x + y = 5 ............................................. equation 1
7x + 2x - 4 = 5
9x-4 = 5
9x = 5 + 4
9x = 9
divide both sides by the coefficient of x which is 9
9x/9 = 9/9
x = 1
substitute the value of x = 1 into equation 3
y = 2x -4.......................................................... equation 3
y = 2(1) -4
y = 2 - 4
y = -2
to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.
2x - y = 4 ................................................... equation 2
2(1) -(-2) = 4
2 + 2 = 4
4=4................................... proved
Answer:
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Step-by-step explanation:
From data, we know that for greater x values, g(x) is greater than f(x).
It is also known that exponential function has greater values than quadratic function for large enough x values.
Answer:
length = 36 ft; width = 12 ft
Step-by-step explanation:
Let the width be x.
The length is 3x.
The perimeter is the sum of two lengths and two widths, and it equals 96 ft.
3x + 3x + x + x = 96
8x = 96
x = 12
Width = x = 12 ft
Length = 3x = 3(12 ft) = 36 ft
