The general formula for the margin of error would be:
z * √[p (1-p) ÷ n]
where:
z = values for selected confidence level
p = sample proportion
n = sample size
Since the confidence level is not given, we can only solve for the
<span>√[p (1-p) ÷ n] part.
</span>
p = 44/70
n = 70
√[44/70 (1 - (44/70) ÷ 70]
√[0.6286 (0.3714)] ÷ 70
√0.2335 ÷ 70
√0.0033357 = 0.05775 or 0.058 Choice B.
First, sum up the total expenses for the original plan
Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740
It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro. Possible answers are (b) or (c)
for (b) Replace Duque de Caxias with Fortaleza, we will have
Fortaleza + Campinas + Rio de Janeiro + Guarulhos =
⇒ 201+185+193+120 = R$699 ⇒ This is exactly the budget intended for the trip
for (C) Replace Rio de Janeiro with Porto Alegre
Duque de Caxias + Campinas + Porto Alegre + Guarulhos =
⇒ 242 + 185 + 153 +120 = R$ 700 ⇒ This is over R$1
The answer is (b)
2 trikes (6 wheels) and 47 bikes (94 wheels)
or
4 trikes (12 wheels) and 44 bikes (88 wheels)
or
6 trikes (18 wheels) and 41 bikes (82 wheels)
or
8 trikes (24 wheels) and 38 bikes (76 wheels)
or
10 trikes (30 wheels) and 35 bikes (70 wheels)
As long as you start our with an even number of trikes, you'll find a way to use up all the tires with no remainders.
The answer is acute, right, and ontuse
The sale is 33% off notebooks. This can be found by first subtracting .8 from 1.2
1.2-.8=.4 Now divide .4 by 1.2 to get your answer.
=.33
.33=33%
You can also solve this mentally because if you know your basic multiplication tables, 3*4=12 and so
of 12 would equal 8.
Does you understand it now?
