Answer:
0.0244 (2.44%)
Step-by-step explanation:
defining the event T= the chips passes the tests , then
P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82
for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then
P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)
where
P(D∩T)=probability that the chip is defective and passes the test
P(D/T)=probability that the chip is defective given that it passes the test
Answer:
6
Step-by-step explanation:
24/5 / 4/5
24/5 / 5/4
24/4 is 6
5/5 is 1
hope this helps:)
6
Using simple interest, it is found that:
- The total amount paid was of $7,084.8.
- The finance charge was of $584.8.
- The simple interest rate was of 3%.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:

In which:
- r is the interest rate, as a decimal.
In this problem, the amount paid was of 36 monthly payments of
$196.80, hence:
36 x 196.80 = $7084.8.
The total amount paid was of $7,084.8.
The original price is of $6,500, hence the finance charge was of:
7084.8 - 6500 = $584.8.
For interest, we have that:
, hence:




The simple interest rate was of 3%.
More can be learned about simple interest at brainly.com/question/25296782
Answer:
The slope is 2/1 and the y-intercept is -6.
Step-by-step explanation:
With the y=mx+b formula, m is the slope and b is the intercept.
Basically, we need to plug in the given values for the variables

and

into the given expression

. First off, we can plug in all the given values into the expression, giving us

. Now, perform the operations on the inside of the parentheses. Doing this, we get

. Now, we use the distributive property to simplify. This gives us

. Finally, when we add the two numbers, we get

. Hope this helped!