Answer:
h=6
Step-by-step explanation:
since 
is an equation for a line which intersects with the curve 
. The point of intersection, let's say 
, should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,
therefore, the latter equation can be rewritten in a quadratic equation form as the following,
= 0
if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.
where 
and 
, as a result, the following equations can be deduced,
therefore, dividing both sides by 12
Step-by-step explanation:
you should have to give more points for this answer
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean for USA is 
The sample mean for Mexico is 
The sample standard deviation for USA is 
The sample standard deviation for Mexico is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to -10 is
Generally from the value obtained we see that
The p-value is < 
hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
By using cross multiplication x= 3×7÷5=4.2
the answer is 4.2
First we find the slope by using the slope formula
slope = (y2 - y1) / (x2 - x1)
(2,4)(4,10)
slope = (10 - 4) / (4 - 2) = 6/2 = 3
now we use slope intercept form
y = mx + b
slope(m) = 3
use either of ur points (2,4)...x = 2 and y = 4
now we sub and find b, the y intercept
4 = 3(2) + b
4 = 6 + b
4 - 6 = b
-2 = b
so ur equation is : y = 3x - 2
