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3 years ago

In trapezoid TRAP, m∡T = 75∘.

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

answer is 115

Step-by-step explanation:

I took the quiz

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What is the length of an arc with a central angle of 23π radians and a radius of 24 cm?

dalvyx [7]

We can solve for the arc length using the formula shown below:
Arc Lenght = 2pi*r(central angle/360)

We need to convert the central angle such as:
Central angle = 23pi rad * (180°/pi rad) = 23*180
Radius = 24cm

Solving for arc length:
Arc length = 2*3.14 *24*(23*180/360)
Arc length = 1733.28 cm

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3 years ago

Due today! 20 points!

tia_tia [17]

Answer:

Consider the finite arithmetic sequence,

Use the explicit formula for an arithmetic sequence,

...... (83.84.94.92.91.100

First term of the sequence is

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3 years ago

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Window is 8 2/3 feet wide and 5 3/4 what is the area of the window

Sloan [31]

Answer is you need to multiply 8 2/3 x 5 3/4 = 49 5/6

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3 years ago

Reviewing Imaginary Numbers. Simplify I^12

melamori03 [73]

Answer:

Step-by-step explanation:

$i^{12}= i^{2} *i^{2} *i^{2} *i^{2} *i^{2} *i^{2}$

Remember that $i^{2}=-1$

Plug it in:

$i^{12}= (-1)^{2} *(-1)^{2} *(-1)^{2} *(-1)^{2} *(-1)^{2} *(-1)^{2}$

$=1*1*1*1*1*1$

$=1$

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3 years ago

As part of their business promotional package, the Milwaukee Chamber of Commerce would like an estimate of the mean cost per mon

Morgarella [4.7K]

Answer:

a) $884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

b) For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

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".

$\bar X=884$ represent the sample mean

$\mu$ population mean (variable of interest)

s=50 represent the sample standard deviation

n=40 represent the sample size

Solution to the problem

Part a

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:

$df=n-1=40-1=39$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,39)".And we see that $t_{\alpha/2}=2.426$

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

$884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

Part b

For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

3 0

3 years ago