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Wewaii
11 days ago
13

Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2

Mathematics
1 answer:
zzz [12.3K]11 days ago
8 0

An arithmetic sequence is defined by the property that the difference between each pair of adjacent terms is consistently the same. When this requirement is met, that constant is recognized as the common difference.

This particular sequence is arithmetic, as the difference between each term and the preceding one is

  • 9.4 - 6 = 3.4
  • 12.8 - 9.4 = 3.4
  • 16.2 - 12.8 = 3.4

Thus, the common difference is 3.4, considering that the adjacent terms differ by 3.4

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Before the last school year began, it was estimated that the average discretionary personal expenses each school year for a stud
tester [12383]

Answer:

M=2,179.29

The average exceeds the estimate

Her expenses would need to be $1,625.00

Step-by-step explanation:

1.) What is the mean of her friends' personal expenses?

The mean is defined as the average expense value, calculated as follows:

M=\frac{2,800+1,990+2,005+2,400+1,860+2,200+2,000}{7}\\M=2,179.29

2.) Is the average higher or lower than the estimate?

Given the estimate of $2,110, the average is indeed higher than this estimate.

3.)What amount of personal expenses would Ashley need to maintain a combined average of $2,110 with her friends' amounts for that school year?

M= 2,110=\frac{7*2,179.29+x}{8} \\x=2,110*8 - 15,255\\x=1,625

Her needed amount of expenses would be $1,625.00.

4 0
28 days ago
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise
Zina [12379]
Out of 100 surveyed individuals, 35 work out in the morning, 45 in the afternoon, and 20 at night.

Jim is accurate.....
The ratio of morning exercisers to the whole group is 35/100.
The ratio of afternoon exercisers is 45/100.
The ratio for night exercisers is 20/100.
7 0
1 month ago
Read 2 more answers
How do you write 125.06 million dollars in at least four different ways.
Zina [12379]
$125,060,000

one-hundred twenty-five million, and sixty thousand dollars

Also, 125.06 expressed as a fraction is 6253/50, if that representation is acceptable.

You can refer to it as 125.06 million dollars when using the figure from the prompt.
5 0
18 days ago
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Need help on 4.9.2 project: performance task: the subway stop
tester [12383]
You might have better success by searching for answers individually:)
3 0
1 month ago
Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per
lawyer [12517]

Response: (0.8115, 0.8645)

Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

Provided: Sample size: n= 525

Number of respondents indicating they leave one space: 440

Thus, the sample proportion is: \hat{p}=\dfrac{440}{525}\approx0.838

The z-score for a 90% confidence interval is: 1.645

The formula for determining the confidence interval:

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)

Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)

3 0
1 month ago
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