Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Answer:
(1)
Replacing the info given we got:
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
represent the significance level
t would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is higher than 9.33, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Answer:
a) 
b)
when 
Step-by-step explanation:
since y varies inversely with x.
We need to find the constant, k.
Let's use a point (x,y) on the curve.
We are given an (x,y)=(5,10):
Multiply both sides by 5:

.
So the equation is:

What is y when x=2?


Answer:
2x^3 + 15x^2 + 27x + 5
Step-by-step explanation:
2x(x^2 + 5x + 1) + 5(x^2 + 5x + 1)
2x^3 + 10x^2 + 2x + 5x^2 + 25x + 5.....then
add the values with the same variables...
2x^3 + (10x^2 + 5x^2) + (2x + 25x) + 5
; 2x^3 + 15x^2 + 27x + 5
Answer:
(-4,-19)
Step-by-step explanation:
y = x² + 8x - 3
y = x² + 2(x)(4) + 4² - 4² - 3
y = (x + 4)² - 16 - 3
y = (x + 4)² - 19
Vertex: (-4,-19)