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3 years ago

What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?

Mathematics

2 answers:

jeka943 years ago

8 0

ANSWER

$a_n=2+ n$

EXPLANATION

The given sequence has terms:

3, 4, 5, 6, 7, ...

The first term is

$a_1=3$

The constant difference is

d=4-3=1

The general term is given by:

$a_n=a_1 + d(n - 1)$

Substitute the first term and the common difference to get,

$a_n=3+ 1(n - 1)$

Expand:

$a_n=3+ n - 1$

$a_n=2+ n$

The first choice is correct.

Kay [80]3 years ago

6 0

Answer:

Step-by-step explanation:

This is an arith. sequence.

The first term is 3 and the common difference is 1

Thus, the general formula for the nth term of this sequence is:

a(n) = 3 + 1(n - 1) This matches Answer A

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A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known

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Answer:

(a) The population parameter is students who ran the mile in less than 10 minutes.

(b) The hypothesis being tested is:

H0: p = 0.70

Ha: p < 0.70

(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:

The data are a simple random sample from the population of interest.

The population is at least 10 times as large as the sample.

n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.

n⋅p = 756 * 0.70 ≥ 10

n⋅(1−p) = 756 * (1 - 0.70) ≥ 10

All the conditions are met.

(e) p = 504/756 = 0.67

The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00

(f) The p-value is 0.0228.

(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.

(h) Therefore, we can conclude that less than 70% of students run one mile in less than 10 minutes.

Step-by-step explanation:

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3 years ago

A shop owner offered a 20%discount off the regular price of a mirror.The amount of the discount is $3.00

Scrat [10]

Answer:

A) $15

Step-by-step explanation:

let x represent the regular price of the mirror

so, 20% of x = 3

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3 years ago

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A table of values of a linear function is shown below.

ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{-6-(-3)}{0-(-1)}$

$$m=\frac{-6+3}{0+1}$

$$m=\frac{-3}{1}$

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

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3 years ago

If two angles are supplement of each other, then one of the angles must be acute

oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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kenny6666 [7]

Answer: 2nd option

Step-by-step explanation:

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2 years ago