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Sergeeva-Olga [200]
3 years ago
10

in a school the ratio of boys to girls 6/5. what is the probability of choosing a girl from a class of 22?

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

the ratio 6/5 means for every 6 boys there are 5 girls.

Add the ratio: 6+5 = 11

Divide class total by 11: 22/11 = 2

Multiply each ratio number by 2 to find the number of boys and the number of girls:

6 x 2 = 12 boys

5 x 2 = 10 girls.


10 out of the 22 kids are girls.


The probability of picking a girl would be 10/22, which reduces to 5/11

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Give an example of a set of five ordered pairs. Determine the domain and range of the set.
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DOMAIN:

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A number that'll be used in a function rule to determine the value of the output

RANGE:

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DEFINE OUTPUT:

Result of applying a function rule to the value of ani input

ORDERED PAIRS:

(-1, 7): -1 is the domain & 7 is the range

(3, 5): 3 is the domain & 5 is the range

(4, 9): 4 is the domain & 9 is the range

(-6, -10): -6 is the domain & -10 is the range

(-2, 8): -2 is the domain & 8 is the range


Hope this helps you!!! :)



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|2x+1|&gt;5 what is the answer​<br>solve for real numbers x.
umka2103 [35]

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a always have solutions of the form

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x < - 3 OR x > 2

4 0
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Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution,
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Answer:

x1=-4/5, x2=18/5 and x3=7/5

Step-by-step explanation:

\left[\begin{array}{ccc|c}1&0&-3&-5\\3&1&2&4\\2&2&1&7\end{array}\right]

you can do linear combination between the rows:

2nd row=R2-3R1 and 3th row=R3-2R1

\left[\begin{array}{ccc|c}1&0&-3&-5\\0&1&11&19\\0&2&7&17\end{array}\right]

3th row=(3R2-R3)/15

\left[\begin{array}{ccc|c}1&0&-3&-5\\0&1&11&19\\0&0&1&\frac{7}{5} \end{array}\right]

1st row=R1+3R3 and R2-11R3

\left[\begin{array}{ccc|c}1&0&0&-4/5 \\0&1&0&18/5 \\0&0&1&7/5\end{array}\right]

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6 0
3 years ago
The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.​
sergij07 [2.7K]

<u>Explanation</u><u>:</u>

Consider ABCD is a rhombus

We know that

All sides are equal in rhombus i.e,

⇛AB=BC=CD=DA

and AC and BD are digonals

Given that

Diagonal and the side of the rhombus are equal.

⇛AB = BC = CD = DA = AC

Diagonal AC divides the rhombus into two triangles .

They are ∆ BAC and ∆ DAC

In triangle BAC

BA=BC=AC,(Given)

⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)

Similarly in ∆DAC ,

DA=DC=AC

⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)

From eqn(i) and eqn(ii)

∠A=∠BAC+∠DAC=60°+60°=120°

and

∠B= ∠ABC = 60°.

and

∠C=∠ACB+∠ACD=60°+60°=120°

and

∠D =∠ADC=60°

∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°

<u>Answer:</u><u>-</u>The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.

Note: [Figure refers in the attached file.

7 0
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