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Usimov [2.4K]
2 years ago
5

Cora is building block towers of two different heights. In each tower, the ratio of blue blocks to purple blocks remains the sam

e as shown in the diagram.The table shows the number of blue blocks and the number of purple blocks that Cora will use on each of her towers.Based on the ratio, complete the missing values in the table.
Mathematics
1 answer:
MatroZZZ [7]2 years ago
8 0

Answer:

54

Step-by-step explanation:

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52. In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants to know the proportion o
kvasek [131]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

Step-by-step explanation:

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. We know that we require a 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 margin of error for the proportion interval is given by this:  

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

We want a margin of error of ME =\pm 0.1 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)  

Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

4 0
3 years ago
Given: ΔABC is isosceles; AB ≅ AC
borishaifa [10]

AB = AC, they are equivalent. Since an isosceles triangle has the congruent angle property, mB = mC cannot be shown until AB=AC.

<h3>What is Isosceles triangles?</h3>

Generally, Isosceles triangles are those that have two sides that are equal in length and two angles that are also equal in size.

Hence The sides and angles theorem for triangles., and the side AB is equal to the other side AC,

In conclusion, Assuming that the base angles, mB, and mC, are of equal measure, the triangle sides and angles theorem states that segment AC is larger than AB. The bigger angle of a triangle is always opposite to the longer side, according to the theorem.

AB is congruent to AC cannot be proven unless AB=AC then,

m<B = m<C because the isosceles triangle has the congruent angle property

Read more about Isosceles triangles

brainly.com/question/2456591

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8 0
2 years ago
Please help me with these and please have explanations
NeTakaya

Answer:

1-B

2-C

3-D

Step-by-step explanation:

In the attached file

6 0
3 years ago
Write an equation for two angles A and B that are supplementary.
Alinara [238K]

Answer:

A. a + b = 180 is the correct option.

3 0
3 years ago
Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?
Anna71 [15]

Answer:

A

Step-by-step explanation:

(X) =x3 to the function q(x-6)3-4

5 0
3 years ago
Read 2 more answers
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