Write a recursive formula and an explicit formula for the following arithmetic sequence. 5, 14, 23, 32, 41,

Which of the following values would be an outlier in the following set? 1, 14, 17, 18, 19, 23

tatuchka [14]

1 would be the outlier

5 0

2 years ago

A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying

sineoko [7]

Answer with explanation:

Let p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.

i.e. $p=0.38$

Then , the set of hypothesis will be :-

$H_0: p=0.38\\\\H_a:p\neq0.38$

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : $n=1558$

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : $\hat{p}=\dfrac{522}{1558}\approx0.34$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25$

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value = $=0.0011541$

6 0

2 years ago

A scientist measures a substance to be 0.8 grams. Calculate the percent of error in the measurement. Show all work for full cred

Volgvan

You'll need to give a bit more information for the question to be answered. You can only calculate the percentage of error if you know what the mass of the substance *should be* and what you've *measured* it to be.

In other words, if a substance has a mass of 0.55 grams and you measure it to be 0.80 grams, then the percent of error would be:

percent of error = { | measured value - actual value | / actual value } x 100%

So, in this case:

percent of error = { | 0.80 - 0.55 | / 0.55 } x 100%
percent of error = { | 0.25 | / 0.55 } x 100%
percent of error = 0.4545 x 100%
percent of error = 45.45%

So, in order to calculate the percent of error, you'll need to know what these two measurements are. Once you know these, plug them into the formula above and you should be all set!

6 0

2 years ago

Write an equation that shows the relationship 64% of why is 40

DerKrebs [107]

Answer:

I am not share what the question is, can you please rephrase the question.

Step-by-step explanation:

3 0

3 years ago

Determine the values of the parameter s for which the system has a unique solution, and describe the solution. sx 1 minus 2 sx

JulijaS [17]

Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.

Answer:

For the system of equations to be unique, s can take all values except 2 and -2

Step-by-step explanation:

$2sx_{1} + 4x_{2} = -3\\2x_{1} + sx_{2} = 4$

$\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]$

For the system to have a unique solution, $\begin{vmatrix} 2s & 4 \\ 2 & s \end{vmatrix} \neq 0$

$2s^{2} -8 \neq 0\\2s^{2}\neq 8\\s^{2}\neq 4\\s \neq 2 or -2$

6 0

3 years ago

Write a recursive formula and an explicit formula for the following arithmetic sequence. 5​, 14​, 23​, 32​, 41​,

Write a recursive formula and an explicit formula for the following arithmetic sequence. 5, 14, 23, 32, 41,