Answer:
$200
Step-by-step explanation:
Here is the full question
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?
in 10 years, the bulbs would be changed twice
Total cost incurred per bulb in 10 years = (6.95 + $3) x 2 = $19.90
Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990
Cost per year = $1990 / (6.95 + $3) = $200
Answer:
true
Step-by-step explanation:
For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.
The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.
Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.
Answer:

Step-by-step explanation:
Given
Passes through: 
Parallel to: 
Required
First, calculate the slope of the parallel line

Make y the subject

Divide through by 5


An equation in slope intercept has the form:

Where:
m = slope

So:

The required is parallel to
.
This mean, the same slope
The equation is the calculated using:

This gives:




Take LCM


i.e.

Answer: d. 1068
Step-by-step explanation:
Let p be the proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
Given : You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability.
Margin of error : E= 0.03
We know that the z-value for 95% confidence = 
Since the prior proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
We assume p = 0.5
Then by Central Limit Theorem , the required sample size would be :


Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size that guarantees that you would obtain a satisfactory estimate =1068
Step-by-step explanation:
¡Hola a todos!
Usa la fórmula para una esfera:


No soy un hablante nativo de español, así que esto puede ser un poco confuso, ¡pero espero que ayude!
:)