A prediction can be that the farther the distance, the more time goes up. A prediction that requires more information can be that at an x amount of seconds the distance will be 500
Answer:
24cm^2
Step-by-step explanation:
3cm times 8cm = 24cm^2
The median of a random variable X is a number µ that satisfies

Find the median of the exponential random variable with parameter λ.
Answer:
![\boxed {\boxed {\sf b \approx 11.53 \ in}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20b%20%5Capprox%2011.53%20%5C%20in%7D%7D)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
In this theorem, <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
We are given one leg that is 6 inches and the hypotenuse is 13 inches. We don't know the other leg. Substitute the known values into the formula.
![(6 \ in)^2+b^2=(13 \ in)^2](https://tex.z-dn.net/?f=%286%20%5C%20in%29%5E2%2Bb%5E2%3D%2813%20%5C%20in%29%5E2)
Solve the exponents.
- ( 6 in)²= 6 in* 6 in= 36 in²
![36 \ in^2+b^2=(13 \ in)^2](https://tex.z-dn.net/?f=36%20%5C%20in%5E2%2Bb%5E2%3D%2813%20%5C%20in%29%5E2)
- (13 in)²= 13 in*13 in= 169 in²
![36 \ in^2+b^2=169 \ in^2](https://tex.z-dn.net/?f=36%20%5C%20in%5E2%2Bb%5E2%3D169%20%5C%20in%5E2)
Now, solve for b (the unknown side) by isolating the variable. 36 square inches is being added. The inverse of addition is subtraction, so we subtract 36 from both sides.
![36 \ in^2-36 \ in^2+b^2=169 \ in^2- 36 \ in^2](https://tex.z-dn.net/?f=36%20%5C%20in%5E2-36%20%5C%20in%5E2%2Bb%5E2%3D169%20%5C%20in%5E2-%2036%20%5C%20in%5E2)
![b^2=169 \ in^2- 36 \ in^2](https://tex.z-dn.net/?f=b%5E2%3D169%20%5C%20in%5E2-%2036%20%5C%20in%5E2)
![b^2=133 \ in^2](https://tex.z-dn.net/?f=b%5E2%3D133%20%5C%20in%5E2)
b is being squared. The inverse of a square is the square root. Take the square root of both sides.
![\sqrt {b^2}=\sqrt {133 \ in^2}\\](https://tex.z-dn.net/?f=%5Csqrt%20%7Bb%5E2%7D%3D%5Csqrt%20%7B133%20%5C%20in%5E2%7D%5C%5C)
![b=\sqrt {133 \ in^2}\\](https://tex.z-dn.net/?f=b%3D%5Csqrt%20%7B133%20%5C%20in%5E2%7D%5C%5C)
![b= 11.5325625947 \ in](https://tex.z-dn.net/?f=b%3D%2011.5325625947%20%5C%20in)
Let's round to the nearest hundredth. The 2 (11.53<u>2</u>5625947) in the thousandth place tells us to leave the 3.
![b \approx 11.53 \ in](https://tex.z-dn.net/?f=b%20%5Capprox%2011.53%20%5C%20in)
The length of the other leg is approximately 11.53 inches.
Answer:
b
Step-by-step explanation:
The correct answer is (B). The correction will decrease the mean because 8 is less than 18 and will decrease the standard deviation because the value, 8, is closer to the mean than the value 18.