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anastassius [24]
3 years ago
6

Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes befo

re it can
tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the

total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window

panes is an expression with a whole number exponent.
Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

w=4*4=4^2

The total number of window panes in 'n' windows is:

P=n*4^2

With n = 12 windows, the expression that describes the total number of window panes is:

P=12*4^2\\P=192\ panes

There are 192 window panes in total.

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Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".  

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".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

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3 years ago
Which statement proves that parallelogram KLMN is a rhombus?
IrinaVladis [17]

Answer:

It is the last option.

Step-by-step explanation:

The diagonals of a rhombus (KM and NL ) are perpendicular. That is shown by the diagonals having slopes of 1 and -1.

Recall that when  2 lines are perpendicular then m1 * m2 = -1 , where m1 and m2 are the slopes of the lines.

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Step-by-step explanation:

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Answer:

1. Angle Relationship: Alternate Exterior Angles

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Step-by-step explanation:

Alternate Exterior Angles are angles that are outside of the parallel lines and  are opposite of each other.

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