Solution:
<u>In this case, we are given:</u>
- Equation: y = -2x
- Slope = -2
- y-intercept = 0
Looking at Option A, we can tell that its <u>slope is -2 and y-intercept is 0.</u>
Since this is matching with the info we are given, Option A is correct.
The perimeter of the given circle is 25.1 square cm.
Step-by-step explanation:
- From the given diagram, the radius of the given circle is 4 cm.
- The perimeter of any given circle is calculated by multiplying 2π with the radius. The radius of this circle is 4 cm and it says π = 3.142
- The Perimeter for the given circle = 2π × r = 2 × 3.142 × 4 cm = 6.284 × 4 cm = 25.136 cm. Rounding this off to one decimal 25.136 square cm, the perimeter equals 25.1 square cm.
Answer:
Let's imagine the image of the zoo.
The diameter is basically the length of the circle.
The penguin swam the radius.
To find the radius, we need to divide the diameter by 2.
The diameter is 20 meters.
20 
2 = 10 meters.
2 x pi x 10 = 62.83185307
62.83185307/2 = 31.41592654
Answer = 31.41592654
Answer:
0.3678
Step-by-step explanation:
Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with parameter 1/20. Smith has a used car that he claims has been driven only 10,000 miles. If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?
Given that the total number of thousands of miles(X) that an auto can be driven
before it would need to be junked is an exponential random variable with parameter 1/20.
=> X ≅ Exponential(λ= 1/20)
=> f(x) = 1/20 * e^(-x/20) , 0 < x < ∞
=> F(X) = P{X < x} = 1 - e^(-x/20)
The probability that she would get at least 20,000 additional miles out of it.
P{X > 20} = 1-P{X < 20}
P{X > 20} = 1-(1 - e^(-20/20))
= e^(-1)
= 0.3678
Step-by-step explanation:
f(x)=4x+7
y = 4x+7
4x = y-7
x = (y-7) /4
the correct answers are:
=> f`¹(x) = (x-7) /4 (a)
=> x - 7 = 4y (e)
=> (x-7) /4 = y (f)
=> x = 4y +7 (g)
