Answer: Probability that at least two of the triplets will win a medal is19/24
Step-by-step explanation:
Total number of cmpetitors=9
Total number of selecting 3 winners out of 9 competitors=9C3=84
Number of ways of selecting 2 out of 3 triplets=3C2
Number of selecting 1 out of 6 others =6C1
Number of selecting 2 out of 3 triplet and o1 out of 6 others= 3C2 ×6C1=18
Number of selecting 3 out of 3 triplets=3C3=1
Total ways of selecting less than 2 or 2 triplets= 18+1=19
Probability that at least 2 of the triplets will win is 19/84
- The amount in commission he or she earns If the amount sold is $6,000 is; $540
- And this can be written in ordered pair form as; ($6000, $540)
According to the word problem question;
If the salesperson earns 9 percent commission on sales;
In essence, 9/100 of the sales proceedings belongs to the salesperson.
Mathematically; the equation for the amount he or she earns in commission is;
- where; c = commission and s = amount sold.
Consequently, if the amount sold is $6,000;
The amount he or she earns in commission is;
c = $540.
The answer in ordered pair form is therefore;
(s,c) = ($6000, $540)
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Answer:
The bird dove 44 feet.
Step-by-step explanation:
If the bird starts 37 feet above the ocean and dives from its position to 7 feet below the ocean, the you just add the two numbers and get its total dive.
To draw it draw a graph that goes past to +37 and past -7, then draw a bar representing the birds dive from +37 to -7. The X axis would be time, and the Y axis is the bird's height relative to the surface of the water.
xBar ± z * sx / sqrt(n)
where xBar is the sample
mean
z is the zscore for having
α% of the data in the tails, i.e., P( |Z| > z) = α
sx is the sample standard
deviation
n is the sample size
For sample size
calcualtions we need the following. The width of the interval, from one end
point to the center is:
z * sx / sqrt(n) =
w and solving for n gives:
<span> n = (z * sx / w) ^ 2 </span>
remember that n needs to
be an integer. Always take the ceiling, i.e., round up. If you round down then
the width of the interval will not be correct, it will be too wide. By rounding
up, the interval will be more narrow than asked for, but this is a good thing.
It means there is more precision in the estimate.
<span> here we have </span>
z = 2.05
w = 0.04 * 152 = 6.08
n = (z * sx / w) ^ 2 n =
(2.05 * 26 / 6.08)^2
n = 76.8506
Round of the answer since
n must be an integer.
<span>n = 77 </span>
The quotient is 10.6 the answer is B.
