A store bought a leather couch at a cost of $500 and marked it up 140%. Bruce bought it and

What is the area of the entire shape if the red trapezoid has an area of 1 square inch?

mr Goodwill [35]

It would be 1 square inch. You can't make a trapezoid cause if you tried to it would turn into a square.

5 0

3 years ago

Select the correct infinitive. ¿A dónde van Uds. los domingos? _____ a la iglesia.

S_A_V [24]

Answer:

la respuesta es voy a la iglesia corona plis

6 0

2 years ago

How do u write d dozen eggs in a numerical or varoable expression?

FromTheMoon [43]

Numeral expression is composed of numeric constants and operation while variable expression consist of both numeric and variables constants.
d dozen of eggs converted to numerical or variable expression:
=> There are 12pieces of eggs in 1 dozen, so that is 12x1=12
=> Therefore, the numerical value is 12 x d or simply 12d

7 0

3 years ago

A sample of eight workers in a clothing manufacturing company gave the following figures for the amount of time(in minutes) need

lilavasa [31]

Answer:

$10.108 < \mu < 13.892$

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

We have the following distribution for the random variable:

$X \sim N(\mu , \sigma=0.45)$

And by the central theorem we know that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12$

The sample deviation calculated $s=2.268$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=8-1=7$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,7)".And we see that $t_{\alpha/2}=2.36$