Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
<u> Result</u>
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
<h2><u>
x = 145</u></h2>
Answer:
The <u>sample proportion</u>, denoted by ^p, is given by the formula ^p=
, where x is the number of individuals with a specified characteristic in a sample of n individuals.
Step-by-step explanation:
Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.
<em>sample mean</em> can be stated as p and <em>sample standard error</em> can be found using the equation
where
- p is the sample proportion
And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.
Answer:
9.08 hours
Step-by-step explanation:
in order to fill 1 pool
fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour
fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour
combined rate = fill rate by pipe + fill rate by pool
= 1/15 + 1/23 = 38/345 pool per hour
since:
38/345 pool -----------> will take 1 hour
1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours
Factor out P:
p(-3n+5)=½
Divide both sides by -3n+5:
p(-3n+5)^-3n+5
½^-3n+5
p=1^-6n+10