Answer:
0.45134
Step-by-step explanation:
Given that :
p = 0.6
n = 400
Probability that sample. Proportion falls between 0.59 and 0.62
Using Normal approximation :
Mean (m) = n * p = 400 * 0.6 = 240
Standard deviation (s) = sqrt(pq/n)
q = 1 - p = 1 - 0.6 = 0.4
s = sqrt((0.6 * 0.4) / 400) = 0.0244948
P(0.59 < p < 0.62) :
(x - m) / s
P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)
P(Z < −0.408249) < p < P(Z < 0.8164998)
Using the Z probability calculator :
0.79289 - 0.34155 = 0.45134
Answer:
4/610=0.00655737704918
Step-by-step explanation:
Answer:
x = 63°
Step-by-step explanation:
~ They are adjacent angles because they have a common (one) vertex.
~ To find the value of x we must make an equation.
Angles on a straight line add up to 180°.
117 + x = 180
x = 180 - 117
x = <u>63°</u>
What you would do is combine the terms with variables, and combine the terms without.
Answers:
2. -2w-22
3. 15z
4. 7-16s
5. 17w
6. 4-6r
7. 21-8b
8. 8q
9. -18q-9
10. 12q-3
I hope I got all of these right if not that’s embarrassing haha I did all of them in my head I’m pretty sure they’re right
I hope I helped
Answer:
f(x) = 3 cos (2Pi / period value ; x )+ 2
or see answer using 2 as the period see answer in bold below.
Step-by-step explanation:
cosine function amplitude of 3 is A = 3
The period is used to find B
You need to show period value as the denominator and work out from there with 2PI as a function numerator to show as 2pi / period can be a data angle
C is the adding value.
Acos (Bx) + C
A = 3
Bx = 2 pi / period
C = + 2
However f 2 is also the period found
then we just plug in 2 to above formula
f(x) = 3 cos (2Pi / 2 ; x )+ 2
f(x) = 3cos (x pi) + 2
