Answer:
x ≈ 11.5° or 168.5°
Step-by-step explanation:
csc² x − 5 csc x = 0
Factor:
csc x (csc x − 5) = 0
Set each factor to 0 and solve:
csc x = 0
sin x = undefined
no solution
csc x − 5 = 0
csc x = 5
sin x = 1/5
x = arcsin(1/5)
x ≈ 11.5° or 168.5°
In order to answer the question, you need to know the area of a circle.
Area = pi * r^2
Area = 3.14 * (100/2) ^ 2
Area = 3.14 * 50^2
Area = 7850 mils^2 = 0.00785 in^2
Answer:
The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 is 0.3855
Step-by-step explanation:
The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 can be calculated by finding <em>z-scores</em> and subtracting P(z<z(0.29)) from P(z<z(0.37))
z-score in the binomial distribution of 28% of freshmen entering college in a recent year planned to major in a STEM discipline can be calculated using the equation:
where
- p(s) is proportion of freshmen we are interested (0.37, 0.29)
- p is the proportion found in recent year found by research group (28% or 0.28)
- N is the sample size (150)
Then z(0.37)=
≈ 2.4550 and P(z<2.4550)=0.993
z(0.29)=
≈ 0.2728 and P(z<0.2728)=0.6075
Then P(z(0.29)<z<z(0.37))=0.993-0.6075=0.3855
Answer:
To 
view graph
Step-by-step explanation:
To
we can say that
then we find cut points. For y=0
⇒
as can be seen in the graph for any value of y greater that 0, x will always take values greater than 1, for values of y less than 0, x will take values less than 1
Answer:
5/6, or 83.33%
Step-by-step explanation:
5 possible (not including 2), 6 total, 5/6.