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alexandr402 [8]
3 years ago
7

Josh volunteered at the zoo for 14 hours in one month. This was 3 1/2 times as many hours as Gina volunteered. How many hours di

d Gina volunteer?
Mathematics
2 answers:
maria [59]3 years ago
6 0


I think 4

14 divided by 3.5 = 4


jonny [76]3 years ago
5 0
This one you can't really make a formula for or anything, but it's fairly simple to figure out, with a bit of guess and check.
14 is really close to 15, but that's bigger, so let's try a smaller number that would work.
It has to be divisible by 2, because you've got a whole number that is 3 1/2 times the other number. (1/2 of a whole number means it's divisible by 2).
10 is divisible by 2,
10 ÷ 2 = 5
But, 10 x 3 = 30 which is much bigger than 14.
So, we've got to start with a smaller number.
Let's try something really small, like 4. We could try 2, but 2 x 3 = 6, which, even with 1/2 of 2, isn't nearly close to 14.
Now, 4 x 3 = 12
That's quite close to 14.
And 1/2 of 4 is 2.
All we do now is add 12 to 2 and see if it works.
12 + 2 = 14
14 = 14
This one works.
That means that Gina volunteered for 4 hours, because 3 1/2 x 4 = 14.
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Ratling [72]

Answer:

Choice number one:

\displaystyle \frac{5}{10}\cdot \frac{4}{9}.

Step-by-step explanation:

  • Let A be the event that the number on the first card is even.
  • Let B be the event that the number on the second card is even.

The question is asking for the possibility that event A and B happen at the same time. However, whether A occurs or not will influence the probability of B. In other words, A and B are not independent. The probability that both A and B occur needs to be found as the product of

  • the probability that event A occurs, and
  • the probability that event B occurs given that event A occurs.

5 out of the ten numbers are even. The probability that event A occurs is:

\displaystyle P(A) = \frac{5}{10}.

In case A occurs, there will only be four cards with even numbers out of the nine cards that are still in the bag. The conditional probability of getting a second card with an even number on it, given that the first card is even, will be:

\displaystyle P(B|A) = \frac{4}{9}.

The probability that both A and B occurs will be:

\displaystyle P(A \cap B) = P(B\cap A) =  P(A) \cdot P(B|A) = \frac{5}{10}\cdot \frac{4}{9}.

6 0
3 years ago
What are the solutions to x2 - 2x -8=0?
pav-90 [236]
The answer is 2
Add like terms
Add 8 to -8 and the zero
To get 4x=8
Then divide 4 and 8 by 4
To get x=2
4 0
3 years ago
A community wants to raise at least $4000 for a new skateboarding park. They have been given a $150 donation and are selling can
Zielflug [23.3K]

Answer:

150+55x=4000

Step-by-step explanation:

150+55x=4000

<u>-150         -150</u>

       55x/55=3850/55

                 x=70 bags

4 0
2 years ago
An academic department with five faculty members narrowed its choice for department head to either candidate a or candidate
Fantom [35]
The probability that the first two votes drawn are both for candidate a is given by:
3C2/5C2 = 3/10
Having drawn two votes for candidate a on the first two draws, there are 2 votes for candidate b and one vote for candidate a remaining. The probability that a vote for candidate b will be drawn on the third draw is:
2/3.
After the first three draws, there reains one vote for candidate a and one vote for candidate b. The probability that a vote for candidate a will be drawn on the fourth draw is:
1/2.
The probability of the ordering aabab is therefore given by:
\frac{3}{10}\times\frac{2}{3}\times\frac{1}{2}=\frac{6}{60}
The answer is: 0.1.
7 0
3 years ago
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
balandron [24]
If it is bisector then it co ordinate points is in mid way(3,-2)

and it is perpendicular so its slope m2=-1/m1
where m1 is slope of another line passes through (4,1) nd (2,-5)

m1=-5-1/2-4=3
m2==-1/3

so equation of line is
y-3= -1/3(x+2)
4 0
3 years ago
Read 2 more answers
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