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cricket20 [7]
3 years ago
5

Determine the 5th term in geometric sequence whose first term is 4 and whose common ratio is 3

Mathematics
1 answer:
amid [387]3 years ago
8 0
Formula for geometric sequence is aₓ = arⁿ⁻1
a₅=4(3)⁵⁻¹
a₅=4(3)⁴
a₅=4(81)
a₅=324
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A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
3 years ago
WILL MARK BRAINLIEST IF CORRECT
RideAnS [48]
The answer would be “D” because it’s is 4 less than 7j.
7 0
3 years ago
If a+b+c=0 then find the value of a^2+b^2+c^2/a^2-bc pls help me
VladimirAG [237]

a+b+c=0

[(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc]

[a^2+b^2+c^2+2ab+2ac+2bc=0]

[a^2+b^2+c^2=-(2ab+2ac+2bc)]

[a^2+b^2+c^2=-2(ab+ac+bc)] (i)

also

[a=-b-c]

[a^2=-ab-ac] (ii)

[-c=a+b]

[-bc=ab+b^2] (iii)

adding (ii) and (iii) ,we have

[a^2-bc=b^2-ac] (iv)

devide (i) by (iv)

[(a^2+b^2+c^2)/(a^2-bc)=(-2(ab+bc+ca))/(b^2-ac)]
8 0
3 years ago
Which question should you expect to be answered with variable data?
Valentin [98]

Answer:

The correct answer is the last one.

Step-by-step explanation:

Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.

The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).

The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.

Hope this helps!

6 0
3 years ago
What is the x-coordinate of the solution to the system of equations
solniwko [45]
Use elimination method - I am eliminaing the y-variable.

1(5x + 8y = 16)    →    5x + 8y = 16
4(6x  - 2y = 54)    →  24x - 8y = 216
         Add equations: 29x       = 232
            Divide by 29:    x        = 8

Answer: x = 8

7 0
3 years ago
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