Answer:
Null hypothesis; H0: μ = 3000
Alternative Hypothesis; Ha: μ ≠ 3000
Step-by-step explanation:
We are told that the FDA recommends that Americans get on average 3,000mg of salt in their daily diet.
Now we want to test this claim of whether Americans truly get an average of 3,000mg of salt in their daily diet.
Thus, the hypotheses is as follows;
Null hypothesis; H0: μ = 3000
Alternative Hypothesis; Ha: μ ≠ 3000
Answer:

Step-by-step explanation:
GIVEN: The weight, in pounds, of a newborn baby
months after birth can be modeled by the function
.
TO FIND: What is the y-intercept of the function and what is its interpretation in the context of the problem.
SOLUTION:
in 
if 

Hence y-intercept is 
the y-intercept in this represents the weight of baby just after he is born.
Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
<span>(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2).
(b) x=1, y=5,and m=-5, the tangent line is y-5=-5*(x-1).
x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)</span>