Answer:
converges
Step-by-step explanation:
the individual fraction terms go against 0 with larger and larger n.
and therefore the sum converges.
the numerator of the fractions stays constant (4) but the denominator (bottom) of the fraction increases more and more with investing n (it does not matter that it uses roots, compared to the constant 4 they too grow immensely large with large n).
the limit of a/infinity is defined as 0.
If you use the 20% off coupon your total will be $16.80.
+ Purchase Price = $21
- Discount (21 x 20)/100 = $4.20
<span>= Final Price 21 - 4.20 = $16.80
</span>
If you use the $5 dollars off coupon your total will be $16.00.
$21 - $5 = $16.00
The better coupon to use would be the five dollars off coupon because $5 dollars off will be 80 cents less than using the 20% coupon.
Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:
The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:
The probability that at most 12 ties are too tight is P=1.
Answer:
2.25 Cups.
Step-by-step explanation:
We know that we can change the 1 1/2 to 3/2.
Next, we want the LCM, or Lowest Common Denominator.
Denominator is the bottom part of the fraction.
The Lowest Common Denominator for 2/3 and 3/2 is 6.
So we need to change the denominators to 6.
To do that, we would multiply 2/3 by 2, and multiply 3/2 by 3.
Then we get 4/6, and 9/6.
Divide 9/6 by 4/6 and you will get your answer.
Which is 2.25.
Or.. 2 1/4.