Answer:
The probability of selecting a family with exactly one male child is 1/4 or 0.25.
Step-by-step explanation:
Given in the question,
possible outcomes for the children's genders
{FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM}
= 16
To find,
the probability of selecting a family with exactly one male child
<h3>Probability = favourable outcomes / possible outcomes</h3>
favourable outcomes = {FFFM, FFMF, FMFF, MFFF}
= 4
Probability = 4 / 16
= 1 / 4
= 0.25
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Answer:
The unit price for 1 T-shirt is about $2.74.
Step-by-step explanation:
Set up an equation:
Variable x = unit price for 1 T-shirt
169x = 463.45
Divide both sides by 169:
x = 2.742307...
Round to the nearest cent:
x = 2.74
Answer:
10/7 or 1 3/7. I hope this helps,
Step-by-step explanation:
Answer:
#4. m=0;
#3. m = 
Step-by-step explanation:
It seems right.
#4.
Maybe your teacher wants you to write m=0; because when a fraction has a numerator equal to zero then the fraction is zero.
#3.
Maybe your teachers want you to simplify the fraction and write m =
