Answer: $115.50
Step-by-step explanation:
500.5-385 = x
Answer:
A
Step-by-step explanation:
6 friends
Mean - 10
Median - 9.5
Range - 14
3 friends watched 12, 13, and 18 movies.
Let's find the sum, this will help us find the total number of movies the other 3 friends watched.
12 + 13 + 18 = 43
The mean is all their movies added toether, divided by the number of friends.
m = number of movies the other friends watched.
(43 + m) / 6 = 10 Multiply each side by 6
43 + m = 10 * 6
43 + m = 60 Subtract 43 from each side
m = 60 - 43
m = 17
So we know the total movies the other friends watched is 3.
A. 4+6+7 = 17
B. 4+4+7 = 15
C. 5+8+9 = 22
D. 2+3+5 = 10
We know the answer is A.
We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.
4, 6, 7, 12, 13, 18
So 7+12 = 19
19/2 = 9.5
So we know for sure A is correct!
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)
Answer:
Solution : Option C
Step-by-step explanation:
We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations ( x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.
Given : x = - 9,
( Substitute r cos(θ) for x )
r cos(θ) = - 9,
r = - 9 / cos(θ)
( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )
r = - 9 sec(θ)
Therefore the third option is the correct solution.
Answer:
144
Step-by-step explanation:
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