Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:

Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the
value:

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

Now we can replace in the formula with the obtained values to compute the confidence interval:

Answer:
first prizes = $34
second prizes = $8
Step-by-step explanation:
8 × 3 = 24 100 - 24 = 76
76 ÷ 2 = 38
that was the best I could explain it sorry
Answer:
1) No
2) No
3)Yes
4)No
Step-by-step explanation:
Distributive property: a(b + c) =a*b + a*c
1) 4(5c + 3) = (4*5c) + 4*3
= 20c + 12
NO
2) 2(8f - 5) = (2*8f) - (2*5)
= 16f - 10
NO
3) 3(4g + 7) = (3*4g) + (3*7)
= 12g + 21
YES
4) 6(4j - 6) =(6 * 4j) - (6*6)
= 24j - 36
NO
The answer is a = 
Step-by-step explanation:
<em>1. Convert the mixed fraction to an improper fraction</em>
To find the numerator, multiply the denominator by the whole number and add the numerator to it.
The denominator remains the same.
So, 2
will be 
<em>2. Now the equation is,</em>
a -
a =
+
a
<em>3. Take LCM on both sides. </em>
For the left side, multiply the first fraction by
and multiply the second fraction by 
a -
a = 
<em>4. Solve by making a the subject</em>
= 
= 
=10+8a
= 10 + 8a
a = 2(10 + 8a)
a = 20 + 16a
a-16a = 20
-15a = 20
a = 
a = 
Therefore, the answer is a = 
Keyword: Equations
Learn more about equations at
#LearnwithBrainly
Answer:
1728
Step-by-step explanation:
12*12*12