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Grace [21]
1 year ago
12

7 3/4 as a improper fraction

Mathematics
2 answers:
qwelly [4]1 year ago
7 0
7 x 4 = 28 + 3 = 31

= 31/4
tekilochka [14]1 year ago
6 0

Answer:

31/4

Step-by-step explanation:

The Mixed Number 7 3/4 can be changed into the improper fraction 31/4.

step 1: The denominator of the improper fraction will be 4, since the denominator of the original fraction is 4.

to find the improper fraction, multiply the denominator of the original fraction (4) by the whole number (7). 4x7=28 then add the numerator of the original fraction: 28+3=31. This tells you the numerator of the improper fraction will be 31.

The improper fraction is 31/4.

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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
4 years ago
To
Lelechka [254]

Answer:

180-25=155 degrees

Step-by-step explanation:

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3 years ago
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Explanation
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How can the difference of squares, 4x^2 - 25, be written in factored form?
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3. Binomial Formula: ( a + b ) ( a - b ) = a^2 - ab + ba - b^2 = a^2 - b^2
4x^2 - 25 = (2x - 5)(2x + 5)
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TEA [102]
The equation of parabola is x^2=\dfrac{3}{4}y. 
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