The result is always divisible by 3.
Answer:
Option C is correct
P(A or B) = 0.65
Step-by-step explanation:
<u>Given:
</u>
P(A) =0.5
P(B)=0.30
P(A and B) =0.15
( The probability of the happening of both independent events will be there product) P( A and B ) =P(A).P(B)
<u>Solution:</u>
To find the probability of the Happening of event A either event B we will use the following formula
P(A or B) = P(A) + P(B)-P(A and B)
= 0.5 + 0.3 - 0.15
=0.65
Answer:
1/6 or 25
Step-by-step explanation:
1/3=10/30
3/10=9/30
1/5=6/30
together is 25/30, which leaves the rest, 5/30 or 1/6 or 25 cookies.
The equation of the line is
4b + a = 0
The slope of the line is
m = -1/4
With a rise of 1 and run of -4 which corresponds to a hypotenuse of
√(4² + (-1)²) = √17
Therefore, the sine of the angle is
sin θ = 1/√17<span />
Using the probability table, it is found that:
- a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
- b) The expected amount the couple actually has to pay is $36.85.
Item a:
To find the probabilities involving the total cost, we have to <u>add the variables X and Y</u> from the table, then:





The probability involving <u>values of 45 or more</u> is:

0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
For a <em>discrete distribution</em>, the expected value is the <u>sum of each outcome multiplied by it's respective probability</u>, hence, involving the 10% discount for prices above $45:
![E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85](https://tex.z-dn.net/?f=E%28X%29%20%3D%200.2%2830%29%20%2B%200.3%2835%29%20%2B%200.25%2840%29%20%2B%200.9%5B0.2%2845%29%20%2B%200.05%2850%29%5D%20%3D%2036.85)
The expected amount the couple actually has to pay is $36.85
A similar problem is given at brainly.com/question/25782059