Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
Answer:
The probability of a customer buying carrots is 0.10.
Step-by-step explanation:
Here, given:
P (Customer buying apples) = 12%
⇒ P(A) = 12 \100 = 0.12
P(Customer Buying apples AND Carrots) = 5%
⇒ P(A ∩ C ) = 5 /100 = 0.05
P(Customer buying apples OR carrots ) = 17%
⇒ P(A∪ C) = 17/100 = 0.17
Now, we know that:
<h3>
P(X ∪ Y) = P(X) + P(Y) - P(X ∩ Y ) </h3><h3>
</h3>
Now, here substituting the values, we get:
P(A∪ C) = P(A) + P(C) - P(A ∩ C )
⇒ 0. 17 = 0.12 + P(C) - 0.05
or, 0.17 - 0.07 = P(C)
or, P(C) = 0.10
or, P(Customer Buying Carrots) = 0.10
Hence, the probability of a customer buying carrots is 0.10.
Answer:
155
Step-by-step explanation:
5*5=25
((5*13)/2)*4=130
130+25=155
30X15=450. 450:100= 4,50. 30+4,50= 34,50
Choose the 5th box, then the answer is 720in
