Answer:
B = 61.0
Step-by-step explanation:
Since this is a right angle, we can use trig functions
sin theta = opp side/ hypotenuse
sin B = 7/8
Take the inverse of each side
sin ^-1 ( sin B) = sin ^ -1 (7/8)
B =61.04497563
To the nearest tenth
B = 61.0
The way to line the animals is to put them in order going down.
0.433
56.3%
19/40
65.8%. Then you try to figure out what you need to convert so that you can get your answer. 56.3% changes to 0.563 because you move the decimal two places to the left. 65.8% changes to 0.658 and 19/40 is 0.475.
0.433
0.563
0.475
0.658. Now you compare each row to figure them out. When you do that your answer will be 0.433, 0.475, 0.563, and 0.658. I sleep about 9/24 of the day which is 0.375 and I will fit right befor 0.433.
Answer:

And using the z score given by:

Where:


If we find the z score for
we got:

So we want to find this probability:

And using the complement rule and the normal standard distribution and excel we got:

Step-by-step explanation:
For this case we have the proportion of interest given
. And we have a sample size selected n = 474
The distribution of
is given by:

We want to find this probability:

And using the z score given by:

Where:


If we find the z score for
we got:

So we want to find this probability:

And using the complement rule and the normal standard distribution and excel we got:
