100 POINTS + BRAINLIEST In a certain mathematics examination, the probability of being award a grade A is believed to be 0.3
For a group of 10 candidates, calculate:
i) the probability that at least half achieve grade A
The probability of being awarded a grade B is also 0.3
ii) Find the probability that all ten candidates achieve either grade A or grade B

 (i) 15%     (ii) 0.6%

Step-by-step explanation:

Given: P(A) = 0.3      ⇒ ~P(A) = 0.7

           P(B) = 0.3      ⇒ ~P(B) = 0.7

    P(A ∪ B) = 0.6      ⇒ ~P(A ∪ B) = 0.4

If you don't have a calculator function for the Binomial Formula, the equation is:     where

(i) Probability of at least 5 --> P(X ≥ 5) means P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(5): n = 10, p = 0.3, X = 5       → P(5) = 0.1029

P(6): n = 10, p = 0.3, X = 6       → P(6) = 0.0368

P(7): n = 10, p = 0.3, X = 7        → P(7) = 0.0090

P(8): n = 10, p = 0.3, X = 8        → P(8) = 0.0014

P(9): n = 10, p = 0.3, X = 9        → P(9) = 0.0001

P(10): n = 10, p = 0.3, X = 10     → P(10) = 0.0000  

                                                TOTAL = 0.1502    →   15.02%

(ii) Probability of A or B = 10 --> P(X = 10)

P(10): n = 10, p = 0.6, X = 10       → P(10) = 0.0060    →   0.6%

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|