Answer:
≈ 6.16
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(5, - 5) and (x₂, y₂ ) = D(7, 3)
d = √ (7 - 5)² + (3 + 5)²
= √ 2² + 8² = √ 4 + 64 = √68 ≈ 6.16 ( to 2 dec. places )
Answer:
3m-3n
Step-by-step explanation:
We want to simplify the expression;
2m - [n - (m - 2n)].
We expand the parenthesis to obtain;
2m - (n - m + 2n)
2m - ( - m + 3n)
Expand further to get;
2m +m -3n
Combine the first two terms;
3m-3n
Answer:
P(more than 2 don't show up)=0.2031
Step-by-step explanation:
Multiplication rule for independent events:
If two events A and B are independent then the multiplication rule state that:
P(A and B)= P(A) x P(B)
Find the probability that more than two do not show up:
The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.
P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)
= 1-( P(none show up) +P(one don't show up)+P(two don't show up)
=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)
=1- (0.1678 +0.3355+0.2936)= 1-0.7969
P(more than 2 don't show up)=0.2031
Let the be the time in hours, and meters of fencing completed.
We know that After three hours, they have 15 meters of fencing complete, our graph will go from the point (0,0) to the point (3,15). We also know that they decide to take a 2-hour break for lunch and then resume building the fence, so our graph will go from the point (3,15) to the the point (5,15). Finally, After four more hours, they have a fence that is a total of 55 meters long, so the final part of our graph will go from the point (5,15) to the point (9,55)
We can conclude that the graph of t vs y is:
