Since these angles clearly form a circle and a circle is 360 degrees,
120-x+2x+16+3x-72=64+4x=360. Subtracting 64 from both sides, we get
4x=296 and by dividing both sides by 4 we get x=74
1) Call x the sample mean = 3.56
2) Call s the sample standard deviation = 0.2
3) Given that the variable is normally distributed and the sample is large, you determine the interval of confidence from:
x +/- Z(0.5) s/√n
Wehre Z(0.5) is the value of the probabilities over 5% (90% of confidence mean to subtract 10%, which is 5% for each side (tails) of the normal distribuition) and is taken from tables.
Z(0.5) = 0.3085
Then the inteval is
x +/- 0.385 *s /√n = 3.56 +/- 0.385 * 0.2/√45
3.56 +/- 0.011 = ( 3.549, 3.571). This is the answer.
Answer:
as in the question it is given that 50 people liked both songs 40 liked folk songs and 80 liked none of the song so we can add the number of people
50+40+80
170
Step-by-step explanation:
the people involved in the survey were 170
• y is vertically opposite to the one whose measure is 43º.
So,
y = 43º.
• x and y are supplementary angles:
x + y = 180º
x = 180º <span>– y
x = 180º </span><span>– 43º
x = 137</span><span>º.
</span><span>• z and x are vertically opposites.
So,
z = x
z = 137º<span> <</span></span>——<span><span>— this is the answer.</span>
I hope this helps. =)
</span>
Answer:
7
Step-by-step explanation:
You would need 7 weeks because there is still 1 assessment after 6 weeks.
