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Stella [2.4K]
2 years ago
13

A couple plans to have 4 children. Assuming that boys and girls are equally likely, find the probability that the couple will ha

ve at least one boy?
Mathematics
1 answer:
iVinArrow [24]2 years ago
3 0

A - the couple will have at least one boy

A' - the couple will have only girls

P(A)=1-P(A')

|\Omega|=2^4=16\\|A'|=1\\\\P(A')=\dfrac{1}{16}\\\\P(A)=1-\dfrac{1}{16}=\dfrac{15}{16}

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Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0
sladkih [1.3K]

Answer:X=11/10

Step-by-step explanation:

2x2-10x+7=0

<u><em>4</em></u>-10x+<u><em>7</em></u>=0

11-10x=0

-10x= -11

Divide both side by -10

-10x/-10.  -11/-10

Answer= 11/10

7 0
3 years ago
Read 2 more answers
What is the number 5 2/7 written as a improper fraction
WARRIOR [948]

Answer:

the answer is 37/7

Step-by-step explanation:

u multiply the 5 and the seven and add the 2 and u get 37/7 so u keep the denominator the same

5 0
3 years ago
I can’t figure this out
patriot [66]

Answer:

m \leq 4.3

Step-by-step explanation:

We need to get m on one side all by itself. To achieve this, let's subtract both sides by 1.2 to get m \leq 5.5-1.2 \implies m \leq 4.3.

7 0
3 years ago
The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
2 if x = 137,2° and sin(x-y) Determine the numerical value of: cos y.tanx y = 114,99​
Amanda [17]

Answer:

....................

3 0
3 years ago
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