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VMariaS [17]
3 years ago
15

Explain how the common difference in an arithmetic sequence is like the slope of a linear function. read more >>

Mathematics
1 answer:
faust18 [17]3 years ago
4 0
In arithmetic sequence, let the first tern of the arithmetic sequence be, a, and the common difference, d, then the nth term, Tn, of the arithmetic sequence is given by:

T_n=a+(n-1)d

For a linear function with y-intercept, c, and slope, m, the linear function is given by:

y=mx+c

Comparing the equation of the arithmetic sequence and that of the linear function, we can see that y is compared to Tn, a is compared to c, m is compared to d, and x is compared to n - 1.

Therefore, <span>the common difference in an arithmetic sequence is like the slope of a linear function as both are multiple of a variable.</span>
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Answer:

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Step-by-step explanation:

The standard deviation of the distribution of sample means is called the standard error of the means.

It is denoted by: \sigma_{\bar X}

The standard error is calculated using the formula: \sigma_{\bar X}=\frac{\sigma}{\sqrt{n} }

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Fynjy0 [20]

Answer:

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Step-by-step explanation:

Given

See attachment for graph

Required

Relationship between the plots

From the attached graph, we can observe that there is an upward trend in the graph; in other words, when the number of at bats increases, the number of hits also increases

Hence, the relationship between them is that: an increment in at bats causes an increment in hits.

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if staff salaries were 32,000 / month last year and 47,000 /month this year what is the total yearly labor cost increase
vladimir1956 [14]
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7 0
3 years ago
There are 15 students on a yearbook committee. 40% of the students are females. How many students on the committee are males?
Andrei [34K]

Answer:

9 students on the committee are males

Step-by-step explanation:

As per the statement:

There are 15 students on a yearbook committee.

⇒Total students on a yearbook committee = 15

⇒\text{Male students} +\text{Female students} = 15     ....[1]

It is given that:

40% of the students are females

⇒\text{Female students} = \frac{40}{100} \cdot 15 = 6

Substitute in [1] we have;

\text{Male students} + 6 = 15

Subtract 6 from both sides we have;

\text{Male students}= 9

Therefore, 9 students on the committee are males

8 0
3 years ago
Read 2 more answers
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MrRa [10]

Answer:

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Step-by-step explanation:

-5y-y=-6y

8 0
2 years ago
Read 2 more answers
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