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2 years ago

The sum of two consecutive numbers is n+1. What are the numbers?

Mathematics

1 answer:

Mariulka [41]2 years ago

8 0

Answer: n/2, n/2+1

Step-by-step explanation:

Consecutive numbers are always 1 more than the previous (n, n+1, n+2, n+...), and their sums are (like) n+n+1 or 2n+1 (n is the first number).

So in this situation (x is the first number);

n+1=x+x+1

n=x+x, n=2x

n/2=x

Meaning that the first number is n/2, and the second (n/2)+1 or just n/2+1.

I'm bad at explaining.

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A sample size must be determined for estimating a population mean given that the confidence level is % and the desired margin o

Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$n =290$

$n =129$

The correct option is D

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.23$

The largest value is k = 15

The smallest value is u = 7

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally population standard deviation estimate is mathematically represented as

$\sigma = \frac{Range }{4}$

Here the Range is mathematically represented as

$Range = k - u$

=> $Range = 15 - 7$

=> $Range = 8$

=> $\sigma = \frac{8 }{4}$

=> $\sigma = 2$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 2 }{0.23} ] ^2$

=> $n =290$

Generally to obtain a conservatively small sample size the population standard deviation estimate becomes

=> $\sigma = \frac{Range }{6}$

=> $\sigma = \frac{8 }{6}$

=> $\sigma =1.333$

Generally the conservatively small sample size is mathematically evaluated as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 1.333 }{0.23} ] ^2$

=> $n =129$

6 0

2 years ago

Point A has coordinate A(3, 2). The point is rotated 180° clockwise about the origin. What is the x-coordinate of point A’?

Ivenika [448]

Answer:

Step-by-step explanation:

A 180 degree rotation around the origin would be the same things as a reflection across the x-axis followed by a reflection across the y-axis.

This would result in the new location being (-3, -2) The x coordinate is -3.

7 0

2 years ago

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5(n+3)+4n<br> Simply the expression

dezoksy [38]

5(n + 3) + 4n

5n + 15 + 4n Distributive property

5n + 4n = 9n Combine like terms

9n + 15 Final answer

Answer: 9n + 15

8 0

2 years ago

Read 2 more answers

Simplify 3(tan^2 theta - sec^2 theta)

Nesterboy [21]

Answer:

sin ^2(x)

Step-by-step explanation:

3 0

2 years ago

I will give brainliest answer

dalvyx [7]

Answer:

4 right; 4 up

Step-by-step explanation:

The difference between the two points is ...

P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)

The translation is 4 units to the right and 4 units up.

8 0

2 years ago