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GREYUIT [131]
2 years ago
10

Write an explicit formula for an, the nth term of the sequence 33, 30, 27

Mathematics
1 answer:
lawyer [7]2 years ago
8 0

Answer:

<u>aₙ = aₙ₋₁ - 3</u>

Step-by-step explanation:

Given :

First term : <u>33</u>

Common difference = 30 - 33 = <u>-3</u>

<u />

============================================================

Then the formula will be :

<u>aₙ = aₙ₋₁ - 3</u>

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jacob bought 5 pencils for 80 cents. At this same rate, how many pencils can hee but for 40 cents? Explain why this answer does
Step2247 [10]
5 pencils cost $.80. Each pencil costs $0.16
Then divide $0.16 into $0.40
This equals 2.5 pencils, you can't buy half a pencil
3 0
3 years ago
jorge measured his heart rate after jogging he counted 11 beats during 6 second interval what was the unit rate of jorges heart
defon

Answer: 66

Step-by-step explanation:

11 beats in 6 seconds means you mulitiply the beats times the seconds

6 0
3 years ago
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
2.5g + 3.14g + 6g + 12.32g
klio [65]

Answer:

23.96g

Step-by-step explanation:

Make sure to thank me!!!

7 0
3 years ago
How many hours are in 10years
Artist 52 [7]
There is about 87658.1. there are 8765.81 in one year so multiply by ten to get 87658.1.
4 0
3 years ago
Read 2 more answers
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