We are given that the
operation of all circuits is independent with each other, therefore we can use
the multiplication rule for independent events, which states that P (intersection
of A and B) = P(A) * P(B). In this case, we want the intersection of circuit 1 to
be working with the intersection of circuit 2 on and on until circuit 40. That
is, we want every circuit to work with each other. The given probability that
circuit 1 works is .99. The probability that circuit 2 works is still .99 since
this is independent events. And we see that the probability for each of the 40
circuit to work is .99. <span>
So P (intersection of 1 through 40) = .99 * .99 *
.99.....*.99 = (.99)^40 = .6689717586</span>
Answer:
<span>There is a 0.67 probability
(or 67%) that the product will work.</span>
Answer:
Correct choices are 1 and 4
Step-by-step explanation:
As per data given we have:
- Median temperature is 75°F and 88°F
- And the range from the median is 5° for both cities
This gives us lowest temperatures of:
- 75° -5° = 70° and 88° - 5°= 83° respectively
And high temperatures are:
- 75° + 5° = 80° and 88° + 5° = 93°
<u>Answer choices based on above details:</u>
- Choice 1 - correct
- Choice 2 - incorrect. Correct answer is 93°
- Choice 3 - incorrect. Correct answer is 93° - 70° = 23°
- Choice 4 - correct
Answer:
Step-by-step explanation:
If a quadratic equation is defined as
.... (1)
then the quadratic formula is
The given quadratic equation is
It can we written as
.... (2)
On comparing (1) and (2) we get
Substitute these values in the quadratic formula.
Taking out common factors.
Two roots are
and
We know that
So
Therefore, root is positive and is negative.
Answer:
S={(heart), (diamond), (club), (spade)}
Step-by-step explanation:
In probability, a set is a well-defined collection of objects, product of an independent successful operation.
A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:
S={(heart), (diamond), (club), (spade)}
Credit to this answer goes to @ibranoguera
Hope this helps :))