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3 years ago

What are the steps to construct parallel lines using a compass and straightedge.

1 answer:

5 0

The first thing you do is draw a straight line. It can be any length. Then draw a point above the line. Place the stylus of the compass on the point, and swing the compass down to make two marks on the line. Then, draw marks below the line, by placing the stylus on the points of intersection. Draw a line from where these two meet to the original point.Mark two points on the 2nd line by placing the compass stylus on the original dot, and swinging it down and up. Then, swing the compass from both of these new points of intersection , on either side of the line, to form 2 new points.Connect these 3 points, and now you have 2 parallel lines! The original line and the most recently made are parallel with each other. Hope this helps!

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How much does mike charge a new customer to ship a package that weighs 50 pounds ? He chargers $40 per pound.

Vera_Pavlovna [14]

Answer:

$2000

Step-by-step explanation:

For each pound, the charge is $40. There are 50 such charges. The point of multiplication is to simplify the process of repeated addition.

... 50 × $40 = $2000

3 0

4 years ago

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

yaroslaw [1]

Since the diameter of the circle is 6 inches, then the radius will be half that, or 3 inches,

$\bf \textit{arc's length}\\\\
s=\cfrac{r\pi \theta }{180} \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=3\\
\theta =70
\end{cases}\implies s=\cfrac{3\cdot \pi \cdot 70}{180}\implies s=\cfrac{7\pi }{6}$

6 0

4 years ago

Hi I need this question please asap.

Contact [7]

Ike Jehoshaphat isn’t oso los

6 0

4 years ago

Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa

blagie [28]

Answer:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

$p_v =P(z>1.9)=0.0287$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=12.95$ represent the sample mean

$\sigma=3$ represent the population standard deviation for the sample

$n=36$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:

Null hypothesis: $\mu \leq 12$

Alternative hypothesis: $\mu > 12$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>1.9)=0.0287$

Conclusion

4 0

4 years ago

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