Answer:
A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a battery is normally distributed, with a mean of 50 months and a standard deviation of 9 months. If the company does not want to make refunds for more than 10% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries?
The company should guarantee the batteries for 38 months.
Step-by-step explanation:
Using standard normal table,
P(Z < z) = 10%
=(Z < z) = 0.10
= P(Z <- 1.28 ) = 0.10
z = -1.28
Using z-score formula
x = zσ + μ
x = -1.28 *9+50
x = 38
Therefore, the company should guarantee the batteries for 38 months.
Answer:
1 gallon
Step-by-step explanation:
1 gallon because they are sharing the equally
Answer: option B
Step-by-step explanation:
The circumference of a circle can be calculated with this formula:

Where "C" is the circumference of the circle and "r" is the radius of the circle.
The area of a circle can be calculated with:

Where "r" is the radius.
Knowing the area, you can solve for the radius:

Substituting into
, you get that the circumference of this circle is:

Answer:
If a desert became flooded, some species would immeadiately go extinct, distrupting the ecosystem, biodiversity, and the food web. This flood might cause new species to enter the ecosystem as well, through means such as rafting. Other species would be forced to adapt to the new environment, leading to adaptation and possibly speciation. For a time the ecosystem would not be very stable, but after a relatively short time, 10 or 20 years, the ecosystem could stabilize itself. So my conclusion is that ecosystems are relatively fluid, they can adapt to almost anything if they have enough time and the change in environment isn’t too drastic.
Step-by-step explanation:
<span>1. Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside.
2. Divide the first digit.
3. Divide the first two digits.
<span>4. Enter the first digit of the quotient.</span></span>