Answer:
x = 4
Step-by-step explanation:
This is special right triangles
For the triangle on the bottom, the shorter leg is x, the longer leg is x * √3, and the hypotenuse is x *2. This means that the shorter leg is 2 since you the longer leg is that side multiplied by √3. The hypotenuse is x *2, which is 2 * 2 which equals 4.
Now we have one side of the bigger triangle. This triangle is a 45-45-90 triangle, and the rule is that the two legs are x, and the hypotenuse is x *2. Since we found a leg and not the hypotenuse of the bigger triangle, and the two legs are congruent, that means x is 4.
Answer:
We need at least 217 compact fluorescent light bulbs
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 M as such
In which is the standard deviation of the population and n is the size of the sample.
How many compact fluorescent light bulbs need to be selected?
We need at least n bulbs, in which n is found when
So
We need at least 217 compact fluorescent light bulbs