Answer:
probability that Caroline buy both CD and fruit = 0.52
Step-by-step explanation:
We have given that the probability of Caroline buys a fruit P = 0.4
So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6
Probability Caroline buys a CD P = 0.2
So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8
So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48
So probability that Caroline buy both CD and fruit =1-0.48 = 0.52
Answer: The picture is black lol
Step-by-step explanation:
Yes, this is a right triangle!
The ratio is identifiable as a 3:4:5 triangle, one of the ratios to tell if a triangle is a right triangle
change
given you
making x the subject by transferring the -19 to the right hand side of the equation
dividing through by 5
{
}
also given
change the operation sign to =
dividing through by -4
so the truth set is
{x:x>9/4}.
The < sign changes to > because we divided by a negative number when solving for x
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
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