Answer:
1.165.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
. So
So the correct answer is:
1.165.
The graph of f(x)=4 cos(1/2x)-3 differs from the graph of g(x)=4 cos(x)-3, f(x) is stretched <span>horizontally.</span>
Answer:
7/10
Step-by-step explanation:
To find how many of x are y, you solve <em>y/x</em>.
With our numbers, we have <em>7/6 ÷ 5/3</em>.
We can turn that into <em>7/6 × 3/5</em> = <em>21/30</em> = 7/10.
If y varies directly with x, that means they change at proportion rates. We can define their relationship using a constant k.
y = kx
Plug in what we know to find k.
-3 = 5k
k = -3/5
So:
y = -1 * (-3/5)
y = 3/5
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
