Assuming that this is a right triangle, then (50 in)^2 = b^2 + (14 in)^2, according to the Pythagorean Theorem.
Then 196 in^2 + b^2 = 2500 in^2. Solving for b^2:
b^2 = (2500-196) in^2, and so b = +48 inches (answer)
Answer:
;;6
Step-by-step explanation:
56 5
Answer:
0.1587
Step-by-step explanation:
Let X be the commuting time for the student. We know that 
. Then, the normal probability density function for the random variable X is given by
![f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%285%29%5E%7B2%7D%7D%7D%5Cexp%5B-%5Cfrac%7B%28x-%5Cmu%29%5E%7B2%7D%7D%7B2%285%29%5E%7B2%7D%7D%5D)
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)
Answer:
B
Step-by-step explanation:
Given the line of best fit
y = - 9.21x + 168.7
Substitute the weight of the pumpkin , that is x = 5, into the equation.
y = - 9.21(5) + 168.7
= - 46.05 + 168.7
= 122.65 ≈ 123 feet ( to the nearest foot )
