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Andrei [34K]
3 years ago
5

Heba ate \dfrac{1}{12} 12 1 ​ start fraction, 1, divided by, 12, end fraction of a box of cereal. Now the box is \dfrac{3}{4} 4

3 ​ start fraction, 3, divided by, 4, end fraction full. What fraction of a full box was there before Heba ate
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

9514 1404 393

Answer:

  5/6

Step-by-step explanation:

If q is the quantity of cereal in the box before Heba ate some, the problem tells us ...

  q - 1/12 = 3/4

  q = 3/4 + 1/12 = 9/12 + 1/12 = 10/12

  q = 5/6

There was 5/6 of a box before Heba ate.

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Write an example of a trinomial that cannot be factored.
OverLord2011 [107]

Answer:

x^{2} + x + 1

Step-by-step explanation:

a trinomial that cannot be factored has no real roots.

here is one:

x^{2} + x + 1

After graphing this trinomial has no intersections points with the x-axis wich means it has no roots

5 0
3 years ago
June has $1.95 in dimes and nickels. She has a total of 28 coins. how many of each type of coin does she have?
Dovator [93]

Answer:

11 dimes, 17 nickels

Step-by-step explanation:

d + n = 28, put one variable by itself on a side, d = 28 - n

.10d + .05n = 1.95

Sub the first equation into the second

.10(28 - n) + .05n = 1.95

2.8 - .10n + .05n = 1.95

2.8 - .05n = 1.95

-.05n = -0.85

n = 17 nickels

d + 17 = 28

d = 11  11 dimes

7 0
2 years ago
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20 POINTS! HELP PLEASE!
nevsk [136]

Answer:

False

Step-by-step explanation:

i did this question and got it right

5 0
3 years ago
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Can anyone help me with this please
Gennadij [26K]

Answer:

A

Step-by-step explanation:

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In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0
uysha [10]

Answer:

a) A response of 8.9 represents the 92nd ​percentile.

b) A response of 6.6 represents the 62nd ​percentile.

c) A response of 4.4 represents the first ​quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) We have to find the value of x such that the probability is 0.92

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9

A response of 8.9 represents the 92nd ​percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6

A response of 6.6 represents the 62nd ​percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4

A response of 4.4 represents the first ​quartile.

4 0
3 years ago
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