Answer:
1 - 1/3 - 1/4 - 1/5
Step-by-step explanation:
Let's take it one step at a time.
Day 1 he completes 1/3 of the garage, so you subtract 1/3 from 1 which means he left 2/3
Day 2 he completed 1/4 more, so you again subtract, this time though 2/3 - 1/4, or in other words 1 - 1/3 - 1/4
So you do this one more time. 1 - 1/3 - 1/4 - 1/5
Can you handle this or do you need help with fraction subtraction.
Answer: p= 0.644
Step-by-step explanation:
We know that, the confidence interval for population proportion is given by :-
sample proportion(p) ± Margin of error(E)
Given confidence interval : (0.61,0.678)
i.e. p- E = 0.61 ... (i)
p+E = 0.678 ...(ii)
Adding (i) and (ii), we get
2p = 1.288
p= 0.644
From (ii),
E= 0.678-0.644
E= 34
Hence, the value of p = 0.644
Answer:
a. 20 points
Step-by-step explanation:
Range = Largest given value - Smallest given value.
<u>Identifying the range of test 1</u>
Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.
So range of test 1 = 90 - 50 = 40
<u>Identifying the range of test 2</u>
Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100
So range = 100 - 40 = 60
<u>Identifying the differences between the ranges</u>
Test 1 range : 40
Test 2 range : 60
Difference between the two : 60 - 40 = 20 points
<h2>
a. What is your equation?</h2>
This is a problem of projectile motion. A projectile is an object you throw with an initial velocity and whose trajectory is determined by the effect of gravitational acceleration. The general equation in this case is described as:
Where:
So:
Finally, the equation is:
<h2>b. How long will it take the rocket to reach its maximum height?</h2>
The rocket will reach the maximum height at the vertex of the parabola described by the equation 
. Therefore, our goal is to find 
at this point. In math, a parabola is described by the quadratic function:
So the x-coordinate of the vertex can be calculated as:
From our equation:
So:
So the rocket will take its maximum value after 1.99 seconds.
<h2>
c. What is the maximum height the rocket will reach?</h2>
From the previous solution, we know that after 1.99 seconds, the rocket will reach its maximum, so it is obvious that the maximum height is given by 
. Thus, we can find this as follows:
So the maximum height the rocket will reach is 66.68ft
<h2>
d. How long is the rocket in the air?</h2>
The rocket is in the air until it hits the ground. This can be found setting 
, so:
We can't have negative value of time, so the only correct option is 
and rounding to the nearest hundredth we have definitively:
