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3 years ago

Find a third angle of a right triangle if one of the angles measures 24°.

1 answer:

3 0

Well from what we know about triangle is that they all add up to 180 degrees!

A right triangle would have a 90 degree angle and from the given measurements we know that the other on is 24 degrees.

So we simply subtract!!

180 - 90 = 90 degrees

90 - 24 = 66 degrees

So the measure of the third angle is 66 degrees. :)

Hope this helps. c:

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The perimeter of a parallelogram is 60 meters. The width (W) of the parallelogram is 2 meters less than its length (L). Find the

PSYCHO15rus [73]

120 because 60 times two is 120 and six times two is twelve

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3 years ago

2. Mikel eats 22 ounces of candy in 11 days.

Sergeu [11.5K]

Answer:

22/11=2 2x8=16

16 ounces = 1 pound

Step-by-step explanation:

a. 2 ounces per day

b. 8 days to eat 1 pound of cady

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2 years ago

What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (2, 8)(2,8)?

Nataliya [291]

Answer:

y = 3 /2 x + 5

Step-by-step explanation:

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3 years ago

Noise levels at 5 airports were measured in decibels yielding the following data: 152,154,139,124,120 Construct the 80% confiden

Yuri [45]

Answer:

$137.8-1.533\frac{15.595}{\sqrt{5}}=127.108$

$137.8+1.533\frac{15.595}{\sqrt{5}}=148.492$

So on this case the 80% confidence interval would be given by (127.108;148.492)

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".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n 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 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 $\bar X=137.8$

The sample deviation calculated $s=15.595$

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

$df=n-1=5-1=4$

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(0.1,4)".And we see that $t_{\alpha/2}=1.533$

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

$137.8-1.533\frac{15.595}{\sqrt{5}}=127.108$

$137.8+1.533\frac{15.595}{\sqrt{5}}=148.492$

So on this case the 80% confidence interval would be given by (127.108;148.492)

5 0

4 years ago

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Please someone find the kindness in their heart to help me!

vredina [299]

PART A

Volume = Area of a triangle base x height (..or length)
Volume = 2,400cm^3
Volume = 1/2(16)(h)(20)
2,400cm^3=1/2(16)(h)(20)
2/400cm^3/160 = 160(h)/160
Part A= 15cm^3=height of the box

PART B

Surface Area = 1/2(15*16)(2)+20(17)(2)+16(20)
Surface Area = 240+680+320
Surface Area = 1,240
Part B = You will need approximately 1,240cm of cardboard.

8 0

3 years ago