Answer:
14110
Step-by-step explanation:
Let x = number of pages;
μ = 12200; σ = 820
Zscore = (x - μ) / σ
Zscore = (x - 12200) / 820
Zcritical for 99% confidence, with a one-tailed test equals 2.33
Hence, Z at 99% = 2.33
Substituting in for Zscore = 2.33
Zscore = (x - 12200) / 820
2.33 = (x - 12200) / 820
2.33 * 820 = x - 12200
1910.6 = x - 12200
1910.6 + 12200 = x
x = 14110.6
x = 14111
The number of pages to advertise for the cartridge is 14,110
Answer:
The tangent plane equation for the hyperboloid
.
Step-by-step explanation:
We have
The ellipsoid's equation is
The equation for the tangent plane at the point 
(Given)
The hyperboloid's equation is
F(x,y,z)=
The tangent plane equation at point
The tangent plane equation for the hyperboloid is
The tangent plane equation
Hence, the required tangent plane equation for the hyperboloid is
Let's start by calculating the cost of the first 10 boxes, which totals $75, and the next 10 boxes cost $55.
Together, these 20 boxes amount to $130 spent. With $18 remaining, you can purchase 4 more boxes since 18 divided by 4.5 equals 4.
Therefore, the maximum number of boxes you can buy with $148 is 24.
To reach the solution of the equation correctly, the process is as follows:
We have:
⇒
⇒
⇒
On equating the powers for the same base, it results in -6 = 8a, which implies an error in the premise of equating terms when their bases were not identical.
Answer:
Her age is 40 years
Step-by-step explanation:
Let Jerry's age be represented as j
Let Marjorie's age be denoted as m
The first part of the question states:
j = 4 + m/2
For the second equation:
m = 3j - 32
Multiply the first equation by 2 to get:
2j = 8 + m
Leading to m = 2j - 8
Set both equations for m equal to each other:
2j - 8 = 3j - 32
By simplifying, we get:
3j - 2j = 32 - 8
Therefore, j = 24
Now substituting back:
m = 2j - 8
m = 2(24) - 8
Thus, m = 48 - 8
Final result: m = 40
