In ALMN, the measure of ZN=90°, MN = 5 feet, and LM = 7-3 feet. Find the measure

A foreman for an injection-molding firm admits that on 9% of his shifts, he forgets to shut off the injection machine on his lin

JulijaS [17]

Idk I but can u help me Bc I’m in 7th and the person that helped me doesn’t know what they are talking about

3 0

3 years ago

A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track

xz_007 [3.2K]

Answer:

The approximate speed of the robot during the 5 seconds is:

6 ft/s

Step-by-step explanation:

To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:

$hypotenuse^{2}$ = $opposite leg^{2}$ + $adjacent leg^{2}$
$hypotenuse^{2}$ = $12^{2} +28^{2}$
$hypotenuse=\sqrt{ 12^{2}+28^{2} }$
$hypotenuse=30.46 ft$

With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:

$Speed =\frac{distance}{time}$
$Speed = \frac{30.46 ft}{5 s}$
Speed = 6.09 ft/s

As you need the speed in the nearest whole number, then:

Speed = 6 ft/s

5 0

3 years ago

In a random sample of 25 people, the mean commute time to work was 33.9 minutes and the standard deviation was 7.2 minutes. Ass

Phoenix [80]

Answer:

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

Step-by-step explanation:

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".

$\bar X=33.9$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=7.2 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

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

$df=n-1=25-1=24$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,24)".And we see that $t_{\alpha/2}=1.32$

Now we have everything in order to replace into formula (1):

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

7 0

4 years ago

3x +5y +4z 5x +2y +3z 6x+ 3y +4z

STatiana [176]

Answer:

35

Step-by-step explanation:

4 0

4 years ago

Math Help!!! How many x-intercepts does the graph of the function have?

dalvyx [7]

It can have however many x intercepts it wants,

BUT, to be a function it must pass the vertical line test. 
this means you have to look at the graph and see if a vertical line drawn anywhere hits the graph more than once. 
if it hits it more than once, it is NOT a function.

An example is a polynomial function to the infinite degree. That is
f(x) = lim (n --> infinity) [ x^n]
but only 1 y intercept (vertical line test remember)

6 0

3 years ago

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