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Evgen [1.6K]
2 years ago
9

1. Un examen de Matemáticas ha sido aprobado por 6/9 de los estudiantes. Al resto de los estudiantes le toca repetir el examen.

Si el grupo está compuesto por 45 estudiantes, ¿cuántos estudiantes deben repetir dicho examen?
ayudenme mañana tengo q hacer el exameeeeeeeeen
Mathematics
1 answer:
Eddi Din [679]2 years ago
5 0

Answer:

15 students

Step-by-step explanation:

The fraction of students who will repeat the exam is:

1-\frac{6}{9}

=\frac{9}{9} -\frac{6}{9} =\frac{3}{9}

simplified is:

\frac{1}{3}

Extract this fraction of 45:

45(\frac{1}{3} )=\frac{45}{3} =15

Hope this helps

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Match the equivalent expressions.
yarga [219]

Answer:

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

Step-by-step explanation:

In order to match the equivalent expressions we have to put each expression in its simplest form

So,

x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

..

3 0
4 years ago
Teddy called the movie theater to find out how much tickets cost for him and his seven friends to go to the new hero movie. He r
topjm [15]

Answer:

7.5

Step-by-step explanation:

If 8 people are going to the movie theater including Teddy, then we have to divide 60 by 8 which equals 7.5.

8 0
3 years ago
I NEED HELP ON THIS ONE TOO SAME THING ILL GIVE BRAINLIEST
Readme [11.4K]

Answer:

449 sq ft

Step-by-step explanation:

3 0
3 years ago
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetr
Greeley [361]

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±t_{n_1+n_2-2;1-\alpha/2}*Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20

[(2.90-2.29)±2.715*0.20\sqrt{\frac{1}{20} +\frac{1}{19} }]

[0.436; 0.784]

I hope this helps!

5 0
3 years ago
Henly earns $8.50 per hour at an amusement park. She receives a 12% raise after becoming manager. How much more per hour does He
Dima020 [189]
100%=8.50
1%=0.085
12%=1.02
112%=9.52
Answer=£9.52
6 0
3 years ago
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