Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with
Let x be the random variable that represents the output of machine .
z-score : 
For x= 21 ounces
For x= 28 ounces
Using the standard normal distribution table , we have
The p-value : 
Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
Answer:
3 feet.
Step-by-step explanation:
- Base of the triangular pennant = 1.5 feet long.
- Area of the triangular pennant = 2.25 Square feet.
Now, we know that:
Area of a Triangle
Substituting the given values, we have:
Therefore, the height of the pennant is 3 feet.
Answer:
T = ±22
Step-by-step explanation:
Let's solve your equation step-by-step.
0=−16t2+7744
Step 1: Add 16t^2 to both sides.
0+16t2=−16t2+7744+16t2
16t2=7744
Step 2: Divide both sides by 16.
16t2
16
=
7744
16
t2=484
Step 3: Take square root.
t=±√484
t=22 or t=−22
Answer:
The answer is below
Step-by-step explanation:
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.
Answer:
Part A:
Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet at a rate of 7.5 ft/s
Part B:
Between 2 and 4 seconds, the height stays constant at 75 feet.
Part C:
Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s
Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s
Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s
Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.
Part D:
From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.
