Ateacher asks each student to randomly choose a number from 1 to 90 and write it down. keiko and mitsugu write down the number. what is the probability that both of their choices will be greater than 75? express your answer as a decimal. if necessary round your answer to the nearest thousandth. a. 0.028 b. 0.167 c. 0.972 d. 0.026

A. 0.028

Step-by-step explanation:

Given,

The total numbers = 90 ( from 1 to 90 ),

Also, numbers greater than 75 = 90 - 75 = 15,

Keiko and Mitsugu write down numbers randomly from these numbers,

Hence, the probability that both of their choices will be greater than 75

= The probability of a number greater than 75 × the probability of a number greater than 75

=

=

= 0.027777

≈ 0.028

Option 'A' is correct.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

a

step-by-step explanation: