In a sample of 200 books, 26 books contained at least one punctuation error. The sampling method had a margin of error of 0.03.
1 answer:
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Answer:
26 years of age.
Step-by-step explanation:
The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:
I = - 425x² + 45500x - 650000 .......... (1)
If the average annual income of the lawyer at the age of x years is $250000, then from the equation (1) we can write
- 425x² + 45500x - 650000 = 250000
⇒ - 425x² + 45500x - 900000 = 0
⇒ - 17x² + 1820x - 36000 = 0
Now, using the quadratic formula,
years (Approximate)
{We have neglected the other root as we need the youngest age}(Answer)
Answer:
2) c) (x-3)² + (y+2)² = 25
5) x^2 +y^2 -8x -16y +54 = 0
6) x^2 +y^2 -10x -12y +36 = 0
Step-by-step explanation:
2) The standard form equation for a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...
(x -3)^2 +(y +2)^2 = r^2
Since we know a point on the circle we know that ...
(7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25
So, the circle's equation is ...
(x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C
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5) As in the previous problem, the standard form equation is ...
(x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26
To put this in general form, we need to subtract 26 and eliminate parentheses.
x^2 -8x +16 +y^2 -16y +64 -26 = 0
x^2 +y^2 -8x -16y +54 = 0
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6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.
(x -5)^2 +(y -6)^2 = 5^2
x^2 -10x +25 +y^2 -12y +36 = 25
x^2 +y^2 -10x -12y +36 = 0
Answer:
The speed of plane against wind S 1 = 1020 kmph And
The speed of plane with wind S 2 = 1260 kmph
Step-by-step explanation:
Given as :
The distance of airplane against the wind = D 1 = 3060 km
The time taken in against the wind = T 1 = 3 hours
The distance of airplane with the wind = D 2 = 7560 km
The time taken in with the wind = T 2 = 6 hours
Now, Speed of plane against the wind =
So, S 1 =
Or, S 1 = = 1020 kmph
Similarly
Speed of plane with the wind =
Or, S 2 =
Or, S 2 = = 1260 kmph
Hence The speed of plane against wind S 1 = 1020 kmph And
The speed of plane with wind S 2 = 1260 kmph Answer