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3 years ago

For the diagrams, find the following measures. X= DCB= ABC=

Mathematics

1 answer:

Tasya [4]3 years ago

8 0

To set this up you will set the two angles equal to 180° since it is a straight line
This will make the equation x+6x+19=180
Combine like terms. 7x+19=180.
Subtract 19 from both sides. This will make it 7x=161
Divide both sides by 7. That will make it x=23
Next plug in the x to solve for abc. 7(23)+19. This equals 157

X= 23

Hope this helped :)

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Ratio as a fraction 12:36

poizon [28]

Step-by-step explanation:

$12:36=\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}$

7 0

3 years ago

Read 2 more answers

One of the fastest recorded speeds of a cheetah is 26.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilome

ra1l [238]

We know that 1 kilometer = 1,000 meters and that 1 hour = 60 minutes = 3,600 seconds

We have 26.8 meters per second so whats 26.8 meters in kilometers? there is 0.0268 kilometers in 26.8 meters. So now we need to multiply 0.0268 by 3,600 to get 96.48

So your answer would be 96.48 km/h

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3 years ago

The Wonderful Widget Company's earnings have declined to the point where they need to reduce the number of employees from 1500 1

AleksandrR [38]

Answer:6%

Step-by-step explanation:

Decrease = 1500 - 1410= 90

% decrease = (90/1500)*100%

= 6%

7 0

3 years ago

The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A

Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

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".

$\bar X =65$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size

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

$df=n-1=11-1=10$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that $t_{\alpha/2}=1.81$