F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j
<span>F2 = 0 i + 5 j </span>
<span>R = F1 + F2 </span>
<span>Add the 'i's together (x direction) and the 'j's together (y direction) </span>
<span>R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j </span>
<span>Magnitude: </span>
<span>||R|| = </span>√<span>(5.2^2 + 8 ^2) = </span>√<span>91 = 9.54 </span>
<span>Direction: </span>
Θ<span> = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0</span>⁰
M is equal to 6 because 6 times 2 would equal 12
Answer:
40 units per sec
Step-by-step explanation:
The average rate of change in this case is the change in y over the first three seconds (which is 220 - 100, or 120) divided by the elapsed time (which is 3 seconds).
120
Thus, we have ------------ = 40 units per sec
3
Answer:
We want to reduce type II error we carry out the test using a larger significance level (such as 0.10) and not a small significance level α (such as 0.01).
Step-by-step explanation:
Type I error
- Rejecting the null hypothesis when it is in fact true is called a Type I error.
- It is denoted by alpha, α that is the significance level.
- Lower values of alpha make it harder to reject the null hypothesis, so choosing lower values for alpha can reduce the probability of a Type I error.
It is given that the consequences of a Type I error are not very serious, but there are serious consequences associated with making a Type II error.
Type II error
- This is the error when we fail to reject a false null hypothesis or accept a null hypothesis when it is true.
- Higher values of alpha makes it easier to reject the null hypothesis.
- So choosing higher values for alpha can reduce the probability of a type II error.
- The consequence here is that if the null hypothesis is true, increasing the value of alpha makes it more likely that we make a Type I error.
Since, we want to reduce type II error we carry out the test using a larger significance level (such as 0.10) and not a small significance level α (such as 0.01).
This will increase type I error but that is okay since we do not have serious consequences for it.
