2,250-175-129-283=1,663 so the highest house payment would be $1,663
Answer:
300 mph
Step-by-step explanation:
Let s represent the initial speed of the plane in miles per hour. Then s-40 is the reduced speed after encountering the head wind. The time spent flying against the head wind was 5 - 2 = 3 hours.
... distance = speed×time
... 1380 = s×2 + (s -40)×3
... 1380 = 5s -120 . . . . . . . . . eliminate parenthses
... 1500 = 5s . . . . . . . . . . . . . add 120
... 300 = s . . . . . . . . . . . . . . . divide by 5
Answer:
The area under the curve that represents the percent of women whose heights are at least 64 inches is 0.5.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area under the curve representing values that are lower than x. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the same as the area under the curve representing values that are higher than x.
In this problem, we have that:
Find the area under the curve that represents the percent of women whose heights are at least 64 inches.
This is 1 subtracted by the pvalue of Z when X = 64.
has a pvalue of 0.5.
1 - 0.5 = 0.5
The area under the curve that represents the percent of women whose heights are at least 64 inches is 0.5.
1)
a. y=mx+b
m=slope
b=y-intercept
y=20x+40
The slope is 20.
The y-intercept is 40.
b. y =cost
x= # of shirts
y=20x+40
15 sweatshirts would make the equation y=20(15)+40
y=300+40
y=340
15 shirts would cost $340.
c. y=20x+40
$1000 would make the equation 1000=20x+40
1960=20x
98=x
Paying $1000 would get the swim team 98 shirts.
2)
(1,5) (4,11)
(x,y) (x1, y1)
y+y1=m(x+x1)
Pick a point and substitute it into the equation.
y+5=m(x+1)
To find the slope of a line, use the following equatIon:
y-y1/x-x1
11-5/4-1
6/3=2
The slope of the line is 2. Plug it into the equation for m.
y+5=2(x+1)
Solve the equation.
y+5=2x+2
y+3=2x
Put the equation in slope-intercept form.
y=2x-3
3)
y=x-25
y=6x-5
Plug one equation into the other.
x+25=6x-5
Solve.
x+30=6x
30=5x
6=x
Now plug 6 into one of the equations.
y=6x-5
y=6(6)-5
y=36-5
y=31
The answer should be in the form of a point.
(6,31)
5) I'm sorry, don't know how to solve this. You can Google how to graph two inequalities, though.
6)
Antonio's age can be represented by x.
Sarah's age can be represented by y.
2x+y=35
5x=y
Plug 5x into the first equation.
2x+5x=35
Solve.
7x=35
x=5
Antonio is 5 years old.
To find Sarah's age, plug Antonio's age into the equation for Sarah's age.
5x=y
5(5)=y
25=y
Sarah is 25 years old.
The value of given expression when m = 3 is 27
<h3><u>Solution:</u></h3>
Given expression is
We have to evaluate the given expression for m = 3
To find for m is equal to 3, substitute m = 3 in given expression
From given expression,
Plug in m = 3 in above expression
------ eqn 1
We know that,
can be expanded as,
Applying this in eqn 1, we get
Simplify the above expression
Therefore, for m = 3 we get,
Thus value of given expression when m = 3 is found