Y+2x=24
product is max
xy=max
we have
y+2x=24
minus 2x both sides
y=24-2x
sub that for y in xy=max
(24-2x)(x)=max
-2x^2+24x=max
we have a parabola opening down
the coordinates of the vertex is our answer
the x value of the vertex is -b/2a where
ax^2+bx+c=y
-24/2(-2)=-24/-4=6
xvalue=6
we can just sub
y=24-2x
y=24-2(6)
y=24-12
y=12
the numbers are 6 and 12
the product is 72
the numbers are 6 and 12
Answer:
10
Step-by-step explanation:
Let "a number" = x
4(x - 4) = 24
Isolate the x. First, divide 4 from both sides
(4(x -4))/4 = (24)/4
x - 4 = 6
Add 4 to both sides
x - 4 (+4) = 6 (+4)
x = 6 + 4
x = 10
10 is your answer for "a number"
Answer:
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0739
The margin of error is:
M = T*s
In which s is the standard deviation of the sample.
In this question:
s = 3.
Then
M = 2.0739*3 = 6.22
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Factors
25 = 1,5,25
99 =1,3,9,11,33,99
Greatest Common Factor : 1
Kilograms or pounds, because a bowling is heavy.