Find the value of x in the figure below. Then give the measure of each interior angle and the measure of the

What is the equation in point slope form of a line that passes through the points (5,-3)

Illusion [34]

I think it's option 2 / b

4 0

4 years ago

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

7 0

3 years ago

Which shows two triangles that are congruent by aas?

Serga [27]

Answer:

(A) shows two triangles that are congruent by AAS. AAS (Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are equal to the two angles and the non-included side of the another triangle, then the two triangles are said to be congruent.

https://www.google.com/search?q=Which+shows+two+triangles+that+are+congruent+by+aas?&tbm=isch&source=iu&ictx=1&fir=XtxdAOttHLP1AM%253A%252Cbcu8iEfynp4JLM%252C_&vet=1&usg=AI4_-kQGedO-5bkr972XF-k3CYUquioH8Q&sa=X&ved=2ahUKEwjUlZKC08njAhUxh-AKHXeFBusQ9QEwAHoECAUQAw#imgrc=XtxdAOttHLP1AM:

7 0

4 years ago

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You are given 10,000 to invest in either 5% tax free bonds or 10% taxable bonds. Your total investment income for a year was $67

Dmitrij [34]

At 5%... $3500
at 10%... $6500

4 0

4 years ago

Read 2 more answers

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: