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1 year ago

Which expressions are equivalent to the one below? Check all that apply.

Mathematics

2 answers:

Lelu [443]1 year ago

7 0

log(2) + log(1/6)

log(1/3)

mestny [16]1 year ago

4 0

Answer:

Step-by-step explanation:

log2-log 6=log(2/6)=log (1/3)

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Which of these is longest distance 0.1203km or 123m or 1230cm or 12030mm

bogdanovich [222]

<h3>Answer: 123 meters is the longest </h3>

============================

Work Shown:

Convert everything to the same unit. I'm going to convert everything to meters

0.1203 km = 120.3 meters (multiply by 1000)

1230 cm = 12.3 meters (divide by 100)

12030 mm = 12.03 meters (divide by 1000)

------------------

The four distances we have are: 120.3 meters, 123 meters, 12.3 meters, 12.03 meters. We see that 123 meters is the longest.

7 0

2 years ago

A wine store conducted a study. It showed that a customer does not tend to buy more or fewer bottles when more samples are offer

aniked [119]

We can conclude that samples won’t affect how many bottles of wine a customer will buy.

4 0

2 years ago

Read 2 more answers

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ

Temka [501]

The confidence interval would be (0.122, 0.278).

We first find our z-score. We want a 95% confidence interval:

0.95/2 = 0.475

Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.

The formula we will use is:

$p \pm z\sqrt{\frac{p(1-p)}{n}}$

In this problem, p = 20/100 = 0.2, and n=100:

$0.2 \pm 1.96\sqrt{\frac{(0.2)(0.8)}{100}}
\\
\\0.2\pm 0.0784
\\
\\(0.2-0.0784, 0.2+0.0784)
\\
\\(0.1216,0.2784)$

8 0

2 years ago

The population of Champaign, Illinois is given for three years in the table below:

Crazy boy [7]

Answer:

See below

Step-by-step explanation:

a) <u>Using the first two lines to get the equation:</u>

Since t = 0 represents a start point, the y-intercept is 163488

<u>Slope is:</u>

(168392 - 163488)/10 = 490.4

<u>And the equation:</u>

P(t) = 490.4(t - 1970) + 163488

b) Prediction of the population in 2012 using the function:

P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8

As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.

4 0

1 year ago

Suppose that a process is currently operating at a 3.5-sigma quality level, and it is planned to use improvement projects to mov

jenyasd209 [6]

Answer:

$11,373 PPM$

Step-by-step explanation:

The following formula is used to compute the Proportion of error-free units given the sigma level in Excel.

<em> The proportion of error-free units = NORMSDIST(Sigma Level - 1.5) </em>

Suppose that a process is currently operating at a 3.5-sigma quality level.

The proportion of error-free units for this process is

NORMSDIST(3.5 - 1.5) = 0.977250

Therefore, the rejection rate is equal to

$1 - 0.977250 = 0.022750$

or 22750 PPM.

Now, consider a 6-sigma level process.

The proportion of error-free units equals

NORMSDIST(6.0 - 1.5) = 0.9999966

and the rejection rate is

$1 - 0.9999966 = 3.4 PPM$

Hence, reduction is PPM required per year , that is

$\dfrac{22750 - 3.4}{2} = 11,373 PPM$

reduction per year

7 0

2 years ago