The answer is sequence I (choice A)
The common ratio is r = 1 because we multiply each term by 1 to get the next term. No change happens when we multiply any number by 1. Another way to find the common ratio is to pick any term and divide it by its previous term.
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Choice B is not the answer because (1/5) divided by (1/4) = 0.2/0.25 = 0.8
and because (1/6) divided by (1/5) = 0.833 approximately. We don't get the same value each time. So the common ratio doesn't stay the same.
Choice C is not the answer either since most of the terms are positive but the -4 in slot 3 is not positive. If it was positive, then the common ratio would be 4 and this sequence would be geometric. If the terms alternated between positive and negative, then it would work as well (r would be r = -4)
Choice D has alternating terms of positive and negative, but there's no change in absolute value. There is no growth or decay as this the terms effectively stay the same. So there is no common ratio. This is why we can rule out choice D.
Answer:
the vertical bar "|"
Step-by-step explanation:
Sorry if it's wrong.
Answer:
3%
Step-by-step explanation:
I = Prt
I = 1020
P = 8500
t = 4
1020 = (8500)(4)r
1020 = 34000r
r = 0.03
Answer:
D) Neither X nor Y can be well approximated by a normal random variable.
Step-by-step explanation:
X = number of males (out of the 20) who are colorblind.
Y = number of females (out of the 40) who are colorblind.
Z = total number of colorblind individuals in the sample (males and females together).
The condition to use the normal approximation is that np > 5 and nq > 5
For X:
n = 20, p = 8% = 0.08,
q = 1 - 0.08 = 0.92
np = 20 * 0.08
np = 1.6 ( np < 5)
np = 20 * 0.92
np = 18.4 ( nq > 5)
For Y:
n = 40, p = 1% = 0.01,
q = 1 - 0.01 = 0.99
np = 40 * 0.01
np = 0.4 ( np < 5)
np = 40 * 0.99
np = 39.6 ( nq > 5)
For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.
Answer:
(13/2)^27
Step-by-step explanation:
First note that ( )^0 = 1, so we need not bother with the last term.
Next, note that
(2/13)^(-6) divided by (2/13)^3 is (2/13)^(-9).
Finally, we must cube this last result. We get: (2/13)^(-9*3) = (2/13^(-27)
or
(13/2)^27
Note: we're "evaluating" an algebraic expression here, not "solving it," since there is no equation here.
