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MissTica
3 years ago
9

A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if a

ll are boys.
a) Create a probability model for the number of children that they will have

b) Find the expected number of children

c) Find the expected number of boys that they will have
Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

1.75,0.625

Step-by-step explanation:

Given that a couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.

a) The couples can have

X     I girl         I boy, II  girl             I,II boys, III girl         I,II,III boys

Pr.    0.5               0.25                           0.125                  0.125

b) Expected no of children

=1(0.5)+2(0.25)+3(0.125)+3(0.125)\\=1+0.75\\=1.750

c)Expected number of boys

= 0*0.5+1*0.25+2*0.125+3*0.125\\=0.625

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In a coordinate plane, triangle ABC has vertices A (1, 1), B (1, 5), and C (5,1). Triangle ABC is translated 3 units right and 2
myrzilka [38]

Answer:

\frac{4}{15}

7 0
2 years ago
2/7m-1/7=3/14 help this is so confusing
Free_Kalibri [48]

Solution for \frac{2}{7}m - \frac{1}{7} = \frac{3}{14} \ is \ m = \frac{5}{4} \ or \ m = 1\frac{1}{4} \ or \ m = 1.25

<h3>Further explanation</h3>

A case about one variable linear quations. We have to solve the equation to get the variable m. Let's isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to a value on the opposite side.

We add \frac{1}{7} to both sides:

\frac{2}{7}m - \frac{1}{7} + \frac{1}{7} = \frac{3}{14} + \frac{1}{7}

\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}

On the right side for the addition operation, we equate the common denominator by multiplying \ \frac{1}{7} \ by \ \frac{2}{2}

\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}

Then we combine terms to get:

\frac{2}{7}m = \frac{5}{14}

We divide by the coefficient of m, or in other words, multiply both sides by \frac{7}{2}:

\frac{2}{7}m \times \frac{7}{2} = \frac{5}{14} \times \frac{7}{2}

Finally, the solution is obtained as follows

m = \frac{35}{28}

We simplify fractions, both the numerator and denominator are divided equally by 7.

\boxed{ \ m = \frac{5}{4} \ }

In the form of mixed fractions, we get:

\boxed{ \ m = 1 \frac{1}{4} \ }

In decimal form, we get

m = 1 \frac{25}{100} \rightarrow \boxed{ \ m = 1.25 \ }

Check the solution into the equation:

\big( \frac{2}{7} \times \frac{5}{4} \big) - \frac{1}{7} = \frac{3}{14}

\frac{10}{28} - \frac{1}{7} = \frac{3}{14}

\frac{5}{14} - \frac{2}{14} = \frac{3}{14}

\frac{3}{14} = \frac{3}{14}

Both sides show the same value, so the solution is correct.

Quick steps in summary:

\frac{2}{7}m - \frac{1}{7} = \frac{3}{14}

\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}

\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}

\frac{2}{7}m = \frac{5}{14}

m = \frac{5}{14} \times \frac{7}{2}

m = \frac{35}{28}

\rightarrow \boxed{ \ m = \frac{5}{4} \ }

\rightarrow \boxed{ \ m = 1 \frac{1}{4} \ }

\rightarrow \boxed{ \ m = 1.25 \ }

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

  • adding,
  • subtracting,
  • multiplying, and/or
  • dividing both sides of the equation with the same number.

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation. In the form of fractions, the steps that must be considered are

  • equate the denominator,
  • simplify fractions, and
  • turn fractions into mixed fractions or decimal forms.

Let's practice a lot until you get used to and know which operations should be done first.

<h3>Learn more</h3>
  1. A word problem that forms a single variable linear equation brainly.com/question/1566971
  2. Learn more about single variable linear equation that has no solution, has one solution, and has infinitely many solutions brainly.com/question/2595790  
  3. Questioning the stages of solving a word problem about one variable linear equations brainly.com/question/2038876
<h3>Answer details  </h3>

Grade       : Middle School

Subject     : Mathematics

Chapter    : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14,  5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal, brainly

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3 years ago
Please help thanks!!
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Answer for this question
kirza4 [7]
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4 0
3 years ago
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anyanavicka [17]

Answer: D, 180 - 130

7 0
3 years ago
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