Answer:
zeroes: x = -9 and x = -7
Step-by-step explanation:
f(x)=(x+8)^2−1
A "zero" refers to when the y-value on the graph is zero.
0 = (x+8)^2 - 1
1 = (x+8)^2
+ or - 1 = x+8
so break them apart into two equations
x+8 = 1 OR x+8 = -1
x = -7 OR x = -9
You can plug both back in to check that the equation works!
Answer:
P-value = 0.4846
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4.73
Sample mean, = 4.35
Sample size, n = 51
Alpha, α = 0.05
Sample standard deviation, s = 3.88
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
We can calculate the p-value with the help of standard normal table.
P-value = 0.4846
Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.
We conclude that this college has same drinking habit as the college students in general.
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression
Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:
Take n as 2
Where
<em>The relationship is: The sum of the previous term and 9</em>
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:
Hence, the next three terms are: 36, 45 and 54
This is a simple equation.
The equation is y = 1.6x with y being the miles and x being the kilometers.
Lets plug the kilometers in.
Y=1.6(7.7)
1.6 * 7.7 = 12.32
12.32 miles is equal to 7.7 kilometers
HOWEVER
There are about .6 miles in a kilometer, so if you typed this wrong I don't know.
It is still the same concept.
Y = .6x
Y = .6(7.7)
.6 * 7.7 = 4.8
In this case there are 4.8 miles in 7.7 kilometers
Check the picture below.
so to find the surface area of the triangular prism, we simply add the areas of each of the figures composing it, as you can see is really just 2 triangles an 3 rectangles.
now, to get the volume is simply the area of the triangular face times the length, well, we know the area of one of the triangles is 6, times 10 is just 6*10 = 60.