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3 years ago

HELP ASAP

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

The center of dilation <em>Y</em> is the point from which the other points expand or

contract away from or towards.

The true statement about A'Y' is; <u>Line A' Y' passes through the center of dilation</u>..

The given parameters are;

The scale factor of dilation of ΔXYZ = 3

The point of dilation = Point Y

Line YA is vertical (perpendicular) to the base XZ

In a dilation transformation, the extension or compression of the points

are relative to the center of dilation.

Following the dilation, the line AY is extended along AY to A' Y', therefore,

passing through the point <em>Y</em> which is the center of dilation.

<em />

The option that is true is therefore; Line A' Y' passes through the center of

dilation (which is written as <u>line A prime Y prime passes through the center </u>

<u>of dilation</u>)<u>.</u>

Learn more here:

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Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries

Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = $\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\$

Percentage change in price =

$\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\$

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

7 0

3 years ago

At a certain college, there are 7 men for every 5 women. If there are 380 more men than women, what is the total enrollment?

adell [148]

7 men= 5 women
380 men= x women
=> 7x = 5 . 380
7x = 1900
x= 1900/7
x= 271,4
wich means 271 women

HOPE IT HELPS

6 0

3 years ago

Read 2 more answers

Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and

WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.65$ estimated proportion.

$p$ true population

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

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

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 $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

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)

And on this case we have that $ME =\pm 0.06$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

And replacing into equation (b) the values from part a we got:

$n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968$

And rounded up we have that n=170

6 0

4 years ago

The ratio of the angles in a triangle is 5:9:10. what is the measure of the largest angle?

Maksim231197 [3]

The measure of the largest angle is 75 degrees.

<h3>What is a triangle? </h3>

A triangle is a polygon with three sides and vertices. The sum of angles in a triangle is 180 degrees. Types of triangles include: right-angled triangle, isosceles triangle, equilateral triangle and scalene triangle.

<h3>What is the measure of the largest angle? </h3>

The measure of the largest angle = (largest ratio / sum of ratios) x 180

10 / 24 x 180 = 75 degrees

Please find attached an image of a triangle. To learn more about a triangle, please check: brainly.com/question/9329354

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3 years ago

Need help pls and th x s

Sedaia [141]

Answer:

times 5

Step-by-step explanation:

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3 years ago