This problem is an example of binomial probability. In
this case, we can use the formula:
P (r) = [n! / (n – r)! r!] p^r q^(n-r)
where,
n = total number of babies = 11
r = selected number of babies
p = success of being a girl = 0.5
q = 1 – p = 1 – 0.5 = 0.5
Since we are asked to find for the P (r less than or
equal 9), therefore:
P (r less than or equal 9) = 1 – [P(11) + P(10)]
P(11) = [11! / (11 – 11)! 11!] 0.5^11 * 0.5^(11-11) = 4.8828
* 10^-4
P(10) = [11! / (11 – 10)! 10!] 0.5^10 * 0.5^(11-10) = 5.3711
* 10^-3
Therefore:
P (r less than or equal 9) = 1 – [4.8828 * 10^-4 + 5.3711
* 10^-3]
P (r less than or equal 9) = 0.994
The closest answer is letter C:
C = 509/512 = 0.994
Answer:
c= 25+0.05m
Step-by-step explanation:
Given that,
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.
$25 is fixed here and charge $0.05 for each minute of service.
We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.
c= 25+0.05m
Hence, this is the required equation.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's write down the equations which we will be solving as displayed below:
Equation No. 1 -
4m + n = 6
Equation No. 2 -
3m = 2n - 13 / 2
To begin with, we will make ( n ) the subject in the first equation as displayed below:
Equation No. 1 -
4m + n = 6
n = 6 - 4m
Next, we will substitute the value of ( n ) from the first equation into the second equation and also make ( m ) the subject. Then, we will solve the equation as displayed below:
Equation No. 2 -
3m = 2n - 13 / 2
3m = 2 ( 6 - 4m ) - 13 / 2
3m = 12 - 8m - 13 / 2
3m + 8m = 12 - 13 / 2
11m = 11 / 2
m = ( 11 / 2 ) ÷ 11
m = 1 / 2
Now we will substitute the value of ( m ) from the second equation into the first equation as displayed below:
Equation No. 1 -
n = 6 - 4m
n = 6 - 4 ( 1 / 2 )
n = 6 - 2
n = 4
ANSWER:
Therefore, our answer is:
m = 1 / 2
n = 4
Please mark as brainliest if you found this helpful! :)
Thank you <3
The answer is 8.8
You have to use SohCahToa to figure out the length of AB