Answer:
e. R′
Step-by-step explanation:
Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given
R complement = R` = Universal Set minus Red cards will give blue cards.
a. R OR O
It cannot be this option because we need 4 blue card
b. B AND O
It cannot be this choice as well because 4 is not odd.
c. R OR E
4 is even but we need blue
d. R AND O
Red and odd is again not required
e. R′ = It will give our required result.
f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.
Answer:
mean ≈ 25.45
Step-by-step explanation:
mean is calculated as
mean = 
We require the sum for both classes
class A
mean = 
= 40 ( multiply both sides by 9 )
sum = 9 × 40 = 360
class B
mean = 
= 20 ( multiply both sides by 24
sum = 24 × 20 = 480
Total sum for both classes = 360 + 480 = 840 , then mean for both classes is
mean = 
≈ 25.45 ( to 2 dec. places )
Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7.
The probability can be calculated as the ratio between the number of "good" events and the total number of possible events. There are three "good" events (3,5 or 7) and 10 total events, so the probability that the spinner lands on a prime number is: 3/10. So, none of the given options is true.
Answer: 1; -5
Step-by-step explanation:
For this problem, we are asked to find the slope and y-intercept.
We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.
To find the slope, we would use the formula 
. We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.
From our formula, we found that the slope is 1.
For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.
Answer:
14x-11
Step-by-step explanation:
f(x) = 2x − 5
g(x) = 7x − 3
(f(g(x))=
Substitute g(x) into f(x) for every x
f(g(x) = 2 (g(x) -5
=2 (7x-3) -5
Distribute
=14x-6 -5
=14x-11
