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3 years ago

If these two shapes are similar, what is the measure of the missing length w?

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

because 8 and 4 to get the shape smaller you divide it by 2 so you times 1 *2 to get the bigger one

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

salantis [7]

Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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

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

Solution to the problem

We assume for this case a confidence level of 95%. 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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

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)

And if we replace the values obtained we got this:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

6 0

3 years ago

If you need 8 oz of chocolate chips to make 1.6 lb of cookie dough how many ounces of chocolate chips will you need to make 7 lb

iren [92.7K]

Answer:

3.5 Oz of chocolate

Step-by-step explanation:

1.6 lb of cookie dough is made from chocolate of 8 Oz

1 lb will be made by 8/ 1.6 = 0.5 Oz of chocolate

Therefore

7lb of cookie dough will be made from 7 * 0.5= 3.5 Oz of chocolate/

6 0

4 years ago

#10 Write the equation of the given circle. center (-2, -2) radius of 6

Roman55 [17]

(x - h)^2 + (y - k)^2 = r^2

h = -2
k = -2
r = 6

(x - (-2))^2 + (y - (-2))^2 = 6^2

(x + 2)^2 + (y + 2)^2 = 6^2

(x + 2)^2 + (y + 2)^2 = 36. your answer

hope this helped, blessings! :)

6 0

3 years ago

Line BD is tangent to circle O at C, Arch AEC = 299, and ACE = 93. Find Angle DCE.

VladimirAG [237]

In triangle ACE,
we know C=93,E can be calulated by using arch angle AEC...what ever that is....,using this we get A=180-(E+93)

So, by alternate segment theorem, DCE= A.

thats all i can say.

7 0

3 years ago

NEED HELP :( Use the commutative or associative property to simplify the expression. 1/4(4y)

djyliett [7]

Answer:

Step-by-step explanation:

Associative Property a(bc)=(ab)c

1/4(4y)=(1/4(4))y

4 0

3 years ago

If these two shapes are similar, what is the measure of the missing length w?​

If these two shapes are similar, what is the measure of the missing length w?