celery. Lucas performs 50 pulls, record
ing the vegetables drawn and placing
the pulled vegetable back into th
e bag before the next draw.
How many cabbage draws would is ex
pected if 1000 pulls are conducted?
10,000 pulls?
Answer:
3667 times
Step-by-step explanation:
Answer:
-p/q
Step-by-step explanation:
m1 = Slope of line 1 (Line m) = q/p
m2 = Slope of line 2
Since the lines are perpendicular,
m1•m2 = -1
Therefore,
m2 = -1/m1
m2 = -1/(q/p)
m2= -p/q
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Answer:
r = 5
Step-by-step explanation:
p = 3r + 2
17 = 3r + 2
17 - 2 = 3r
15 = 3r
r = 15/3 = 5
county X?
A a parallelogram with a base of 25 miles and a height of 25 miles
B a rectangle that is 15 miles long and 45 miles wide
C a right triangle with a leg that is 30 miles long and a hypotenuse that is
50 miles long
D a trapezoid with base lengths of 10 miles and 30 miles and a height of
25 miles
Answer:
Option C. is the correct option.
Step-by-step explanation:
County X has a population density of 250 people per square mile.
Total population of the county is 150000.
Total area which represents the population = = square mile.
So geometric model which has the same area as 600 square miles will be the answer.
A). Area of a parallelogram = Base × height
= 25×25
= 625 square miles
which is not equal to 600 square miles so it's not the correct option.
B). Area of a rectangle = Length×width
= 15×45 = 675 square miles ≠ 600 square miles
Therefore, not the correct option.
C). Area of a right triangle =
Since length of hypotenuse is given so we will find the length of height.
Height = √[(Hypotenuse)²- (Base)²] =
=
=
= 40 miles
So area of the right triangle =
=
= 600 square miles
Which matches the area of County X, so it's a correct option.
D). area of trapezoid =
=
=
= 20×25
= 500 square miles ≠ 600 miles
Therefore, this option is not correct.
The solution to the equation r + 11 + 8r = 29 is r = 2.
Given the equation in the question:
r + 11 + 8r = 29
To solve the equation r + 11 + 8r = 29, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:
r + 11 + 8r = 29
Collect and add like terms:
r + 8r + 11 = 29
9r + 11 = 29
Subtract 11 from both sides of the equation:
9r + 11 - 11 = 29 - 11
9r = 29 - 11
9r = 18
Isolate r by dividing both sides by 9:
r = 18/9
r = 2
Therefore, the value of r is 2.
Learn more about equations here: brainly.com/question/14686792
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