Answer:
Step-by-step explanation:
information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value for the test
Hypothesis to test
We want to test if the true mean is less than 12, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We can replace in formula (1) the info given like this:
Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= - = - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
k is the option that makes sense
Given:
The radius of the cone = 14 ft
The slant height of the cone = 27 ft
To find the lateral surface area and the total surface area of the given cone.
Formula
The lateral surface area of the cone is
and
The total surface area of the cone is
where,
r be the radius and
l be the slant height of the cone.
Now
Taking r = 14 and l = 27 we get
sq ft
or, sq ft
Again,
sq ft
or, sq ft
Hence,
The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.
0.25 or 1/4 as a fraction