Answer:
Z-score is 1.75
Step-by-step explanation:

You can find the Z-score from the standard normal table. Just read the table in reverse.
In this case, Z = 1.75
Answer:

Step-by-step explanation:
Since we have given that
A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes.
Since we need to carry out a hypothesis test whether he can refute the claim.
We always take the alternate hypothesis such that it should satisfy the given statement.
And the null hypothesis can be equal to mean or other than that is given in alternate hypothesis.
So, hypothesis :

If it doesn't matter whether the points are integers or not you can just pick a number for either y or x and solve for the other variable. For example, if you pick 3 to be your x, plug it in and then solve for y. Start out with:

Plug in 3 for x:

. Then,

. Subtract 21 from both sides and then divide by -3 on both sides. You end up with y=-7 so one of your points is (3, -7)
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180