Mathematics, 20.10.2019 14:30 malissa0325

Brian’s school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without repeating a number.
the probability that the locker code begins with a prime number is ? %
the probability that the locker code is an odd number is ? %

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The digits that can be used in the code are 5, 6, 7, 8, and 9 .
That's five digits.

Two of them are prime numbers . . . 5 and 7 .

So the probability that the first digit is a prime number is

2 / 5 = 40% .

The code is an odd number if the last digit is an odd number.
Three of the possible digits are odd . . . 5, 7, and 9 .

So the probability that the last digit is odd . . . making the
whole code an odd number . . . is

3 / 5 = 60% .

By the way, the first digit can be any one of the 5 digits.
For each of those, the second one can be any one of the
remaining 4 digits.
For each of those, the third one can be any one of the
remaining 3 digits.

The total number of possible codes is (5 x 4 x 3) = 60 codes.
40% of them (24 codes) start with a prime number.
60% of them (36 codes) are odd numbers.
Only 20% of them (12 codes) both start with a prime AND are odd numbers.

Answer from: Quest

Sis less than or equal to 75 (bottom left)

Answer from: Quest

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

Bwill make the inequalities y < 2x + 1 and y> -x- 2 true. o a. region b o b. region c o c. r

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Brian’s school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (i...