All categories

3 years ago

Find the cost of a $19,500 car plus a 6% sales tax

Mathematics

1 answer:

Scrat [10]3 years ago

8 0

There are 2 ways to do this...

19,500(1.06) = 20,670

or

19,500 + 0.06(19,500) = 19,500 + 1170 = 20670

You might be interested in

The table shows sets of ordered pairs that form a relation.

s2008m [1.1K]

Answer:

First 3 are functions . Last one is not a function

Step-by-step explanation:

They are all functions except the last one.

The last one is not a function because it has duplicate x- values in the ordered pairs (1, -1) and (1, -6). There are 2 outputs for one input so its a relation but not a function

6 0

3 years ago

Read 2 more answers

What is a tenth of a decimal ?

trapecia [35]

One decimal place to the left decimal point is the place.

8 0

3 years ago

A ruler costs pence.

Katarina [22]

Answer:

2x+3(10+x)

Step-by-step explanation:

I'm not sure but I think this might be the answer

8 0

2 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho

vitfil [10]

Answer:

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is

$\sigma = 12.6 \: hours$

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

$n = 250$

The sample mean is

$\bar{x} = 9 \: hours$

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

$\mu = \bar{x} = 9 \: hours$

The sample standard deviation would be

$s = {\frac{\sigma}{\sqrt{n} }$

Where is the population standard deviation and n is the sample size.

$s = {\frac{12.6}{\sqrt{250} }$

$s = 0.7969 \: hours$

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

$\text {confidence interval} = \mu \pm MoE\\\\$

Where the margin of error is given by

$$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sampling size, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

$MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\$

So the required 95% confidence interval is

$\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569$

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

8 0

3 years ago

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

Serjik [45]

*See attachment for the diagram

Answer:

Tan 60 = √3

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Tan 60 = Opp/Hyp

From the diagram given,

Opp = YZ = ?

Hypotenuse = XY = 42

Find the length of YZ using Pythagorean Theorem:

YZ = √(42² - 21²) = √1,323

YZ = √(441 × 3) = 21√3

✔️Find Tan(60):

Tan 60 = Opp/Hyp = YZ/XY

Tan 60 = (21√3)/21

Tan 60 = √3

5 0

3 years ago

Read 2 more answers