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3 years ago

Find the common difference for the given sequence. 1.05, 1.1, 1.15, 1.2, ... 0.005 0.05 0.5

Mathematics

2 answers:

monitta3 years ago

8 0

Answer: 0.05

Step-by-step explanation:

In the given sequence, the first term = 1.05

The second term = 1.1

The difference between first and second term = $1.1-1.05=0.05$

The third term = 1.15

The difference between second and third term = $1.15-1.1=0.05$

The fourth term = 1.2

The difference between third and fourth term = $1.15-1.1=0.05$

Hence, the common difference of the given sequence =0.05

pashok25 [27]3 years ago

6 0

Given a sequence; a₁,a₂,a₃...,an,
The common difference is d= a₂-a₁=a₃-a₂=a₄-a₃....

In this case:
a₁=1.05
a₂=1.1

d=a₂-a₁=(1.1)-(1.05)=0.05

Answer: The common difference is 0.05.

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In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35. The followi

Naddika [18.5K]

Answer:

112

Step-by-step explanation:

Given that in a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35.

Age 18: average score = 100, SD = 15

Age 35: average score = 100, SD = 15, r = 0.80

Let us obtain regression equation of y on x.

Let y be the scores at age 35 and x at age 18

Slope = $r(s_y/s_x) = 0.8(\frac{15}{15} )=0.80$

The line passes through (100,100) being average of x and y

Hence regression line would be

$y-100=0.8(x-100)\\y = 0.8x+20$

a) Here given that x =115

Hence $y=0.80(115)+20\\=112$

the average score at age 35 for all the individuals who scored 115 at age 18, would be 112.

b) Prediction also would be the same 112.

5 0

3 years ago

A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the

kvasek [131]

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

$V = a^2h$

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

$a^2h = 75$

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

$a^2(5h) = 5(a^2h) = 5*75 = 375$

The new volume is 375 cubic inches.

8 0

2 years ago

Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de

DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{21}{5} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

$s^2 = \dfrac{364.8}{4}} = 91.2$

If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

$Mean =\displaystyle\frac{25.2}{6} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8

$s^2 = \dfrac{364.8}{5}} = 72.96$

Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

5 0

3 years ago

The equation yˆ=11.89x−15,345.2 predicts a population of a town in year x.

STatiana [176]

Answer:

The answer to your question is 8649 persons

Step-by-step explanation:

Data

Equation y = 11.89x - 15345.2

Year = x = 2018

Process

1.- Just substitute x in the equation

y = 11.89 (2018) - 15345.2

2.- Multiply 11.89 by 2018

y = 23994.02 - 15345.2

3.- Subtract to find x

y = 8648.82

4.- Conclusion

There was 8649 persons in 2018.

7 0

3 years ago

PLEASE HURRY 100 POINTS!<br><br> Graph x > 2.

MrMuchimi

Answer:

see below

Step-by-step explanation:

We know that x > 2 that means the line at x = 2 is dotted since there is no equals sign

We shade to the right since x is greater

8 0

3 years ago

Read 2 more answers