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Fofino [41]
3 years ago
13

jennifer had 3/5 of a gallon of liquid shampoo and divided it evenly among 4 other bottles. How many gallons did she put into ea

ch bottle
Mathematics
1 answer:
kirill [66]3 years ago
6 0
If the 3/5 was a whole number, it would all be simple. We would just put the number above 4 and divide. Easy, right?

Well, you do basically the same thing. Since having fractions over fractions confuse me, I'm going to put 3/5 into a decimal.
3/5=6/10=0.6

Now, I put that over 4, because there are 4 bottles.
0.6/4=6/40=3/20

She put 3/20 gallons into each bottle. Hope this helped!
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Find the ratio a : b , if it is given that ...<br> 5a +3b =6b
sdas [7]

Answer:

3:5

Step-by-step explanation:

5a + 3b = 6b

5a=6b-3b

5a=3b

a/b= 3/5

a:b=3:5

8 0
2 years ago
Ona took a random sample of 20 soccer teams across Europe. She tracked the average number of goals
anygoal [31]

The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.

From the table given, the linear regression model for the data can be expressed as :

  • y = 14.02x - 3.64 ; where ;
  • y = Predicted number of wins ;
  • x = average number of goals per match ;
  • slope = 14.02 ;
  • Intercept = - 3.64

<u>The Number of wins for a team which averages 1.5 goals per match can be calculated thus</u> :

Average goals per match, x = 1.5

Substitute x = 1.5 into the equation :

y = 14.02(1.5) - 3.64

y = 17.39

y = 17 (nearest whole number)

Learn more :brainly.com/question/18405415

8 0
2 years ago
You lose 4 points each time you
Anna11 [10]
The change is 6 because the pouts you lose depends on how many times you leave the shoes at home
3 0
2 years ago
A spyware is trying to break into a system by guessing its password. It does not give up until it tries 1 million different pass
Anettt [7]

Answer:

Probability = 0.006033

Step-by-step explanation:

Given

Tries = 1000000

Required

Determine the probability of 6 different lower case letters <em>(Question continuation)</em>

<em />

There are 26 lower case letters.

The first can be any of letters 26

The second can be any of letters 26 - 1

The third can be any of letters 26 - 2

The fourth can be any of letters 26 - 3

The fifth can be any of letters 26 - 4

The sixth can be any of letters 26 - 5

Number of selection is:

Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)

Selection = 26 * 25 * 24 * 23 * 22 * 21

Selection = 165765600

The probability is:

Probability = \frac{Tries}{Selection}

Probability = \frac{1000000}{165765600}

Probability = 0.00603261472

<em></em>Probability = 0.006033<em> --- approximated</em>

6 0
2 years ago
How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i
zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

\dbinom 31 \dbinom 32 = 3\cdot3 = 9

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

\dbinom 33 \dbinom 30 = 1\cdot1 = 1

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}

where we use the binomial identity

\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n

3 0
1 year ago
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