The data represents the number of players who turned out for 9 different youth soccer teams. {32, 28, 22, 28, 16, 12, 20, 22, 20
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.
a) Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.
a) A house is located 5 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?
Answer:
Let the center of the town represent the origin (0,0). Also 1 unit = 1 mile. Since the cell tower is located 3 miles east and 4 miles north of the center of a small town, it is represented by A(3, 4)
The cell tower has a coverage of radius 3 miles. This can be represented by a circle with equation:
(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius. Hence:
(x - 3)² + (y - 4)² = 3²
(x - 3)² + (y - 4)² = 9
The diagram is drawn using geogebra.
b) The house is 5 miles north. It can be represented by y = 5 line.
To find the distance east of the house we have to substitute y = 5 and solve for x, hence:
(x - 3)² + (y - 4)² = 9
(x - 3)² + (5 - 4)² = 9
(x - 3)² + 1 = 9
(x - 3)² = 8
(x - 3) = √8
x - 3 = ±2.83
x = 3 ± 2.83
x = 5.83 or 1.83
Since it is to the east to the cell tower, hence x = 5.83.
Therefore the house is located 5.83 miles to the east of the cell tower
Answer:
a)
b)
Step-by-step explanation:
a) This is an exponential distribution question since it is a poisson type problem
Mean rate is 0.95 per 1000 passengers
Mean rate,
per passenger
Probability that at least 490 passengers will have their baggage handled properly before the next mishandling occurs :
b) Probability that the number will be fewer than 200 passengers
The <u>correct answer</u> is:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have: