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yulyashka [42]
3 years ago
12

Alice wants to prove to her parents that listening to music while she does her homework will help her get better grades. She dec

ides to ask 25 of her friends if they listen to music while they do their homework and what their grades are. She finds that her friends who have high grades also listen to music while they do their homework. She tells her parents that she has proven that listening to music while doing homework will cause her grades to improve. What mistake has Alice made?

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

She did not separate her friends into different groups, and she didn't apply a treatment.

Step-by-step explanation:

Alice decides to ask 25 of her friends if they listen to music while they do their homework and what their grades are.

She finds that her friends who have high grades also listen to music while they do their homework.

She tells her parents that she has proven that listening to music while doing homework will cause her grades to improve.

First of all it cannot be proven like this way.

Secondly, she did not use a random sample, and did not separated  her friends into groups and applied treatment.

So, the answer is She did not separate her friends into different groups, and she didn't apply a treatment.

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There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If ther
svetlana [45]

Answer:

180

Step-by-step explanation:

First thing to do is to get all the animals in terms of cows, since that is our main unknown.  All the other animals' numbers are based on cows.  So let's call cows "x".  Then sheep is 3 times the number of cows, so sheep is 3x.  The number of goats is 45 more than the number of cows, so goats is x + 45.  Let's say, for the sake of ease, that the number of animals is "a".

Here's what we have so far:

# of animals: a

# of cows: x

# of sheep: 3x

# of goats: x + 45

We are told that 2/5 of the animals are goats.  In an equation, that is:

2/5 (animals) = goats, where the word "of" means to multiply, and the word "are" is the equals sign.  Filling in from our key above:

\frac{2}{5}a=x+45

That says that 2/5 of the animals are goats when goats is x + 45.

If 2/5 of the animals are goats, then 3/5 of the animals have to be cows and sheep.  In an algebraic equation:

\frac{3}{5}a=x + 3x.  

Let's go back to the first equation and get rid of the fraction by multiplying everything by 5.  When we do that we get

2a = 5(x + 45) so

2a = 5x + 225

Now let's get rid of the fraction in the second equation by multiplying everything by 5.  When we do that we get

3a = 5(x + 3x) or

3a = 5(4x) so

3a = 20x.  Solve that equation for a.

a=\frac{20}{3}x

Now that we have a in terms of x, we can sub that value in for a in the first equation to solve for x, the number of cows:

2(\frac{20}{3}x)=5x+225 and, simplifying:

\frac{40}{3}x=5x+225 and

\frac{40}{3}x-5x=225.  Get rid of the fraction here by multiplying everything by 3:

40x - 15x = 675 and

25x = 675 so

x = 27

That means that there are 27 cows.

Sheep is 3 times that, so there are 81 sheep.

Goats is 45 more than that, so there are 72 goats.

The total number of animals then is 27 + 81 + 72 which is 180.  Let's check that to see if the number of goats, 72, is 2/5 of 180.

\frac{2}{5}(180) = 72

So we got it!  Yay!  That was hard!!

7 0
3 years ago
Irrational numbers are closed under subtraction true/false
Sergeu [11.5K]

Answer:

False!

Step-by-step explanation:

hope this helps, have a good day! :)

3 0
2 years ago
Read 2 more answers
Where does the graph of the line y = x - 2 intersect the x-axis?
Shkiper50 [21]

Answer:

Where does the graph of the line y = x - 2 intersect the x-axis?

O A. (0, 2)

O B. (2,0)

O C. (0, -2)

0 D. (-2, 0)

C. ( 0 , -2 )

Step-by-step explanation:

I hope this helps

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3 0
3 years ago
PLEASE HURRY‼️‼️ 10 points
nikklg [1K]

Answer:

y=x+7

Step-by-step explanation:

all the y values are 7 more than the corresponding values of x

3 0
3 years ago
Please explain how to do this im confused
Anit [1.1K]

Answer:

70° , 70°

Step-by-step explanation:

The 2 angles are corresponding and are congruent, then

23x + 1 = 4 + 22x ( subtract 22x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Then the angles are

23x + 1 = 23(3) + 1 = 69 + 1 = 70°

4 + 22x = 4 + 22(3) = 4 + 66 = 70°

8 0
2 years ago
Read 2 more answers
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