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3 years ago

15

Ricardo is constructing the circumscribed circle for △XYZ. He has already used his compass and straightedge to complete the part

of the construction shown in the figure.
Which construction could be his next step?

Construct the angle bisector of ∠X .

Construct the line through points A and Y.

Construct the perpendicular bisector of YZ¯¯¯¯¯ .

Construct the line through points B and Z.

2 answers:

balu736 [363]3 years ago

7 0

<span>Construct the perpendicular bisector of YZ</span>

Fantom [35]3 years ago

5 0

Answer:

The correct answer is:

<em>Construct the perpendicular bisector of YZ.</em>

Step-by-step explanation:

The steps for the construction of circumscribed circle is:

Construct the perpendicular bisector of one side of triangle

Construct the perpendicular bisector of another side

Where they cross is the center of the Circumscribed circle

Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle.

Hence, from the given figure first step is already done now we need to proceed to the second step of the construction.

Hence, the statement that best represents the next step in the construction is:

Construct the perpendicular bisector of YZ

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A recent study focused on the number of times men and women send a WeChat message in a day. The information is summarized next.

Ratling [72]

Answer:

1)Null hypothesis: $\mu_{men}=\mu_{women}$

Alternative hypothesis: $\mu_{men} \neq \mu_{women}$

2) Two critical values are $z_{\alpha/2}=-2.58$ and $z_{1-\alpha/2}=2.58$

3) $z=-2.40$

4) $p_v =2*P(z$

5) Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the mean number of times men and women send a Twitter message in a day.

Step-by-step explanation:

Data given and notation

$\bar X_{men}=23$ represent the mean for the sample men

$\bar X_{women}=28$ represent the mean for the sample women

$\sigma_{men}=5$ represent the population standard deviation for the sample men

$\sigma_{women}=10$ represent the population standard deviation for the sample women

$n_{men}=25$ sample size for the group men

$n_{women}=30$ sample size for the group women

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

1）Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis: $\mu_{men}=\mu_{women}$

Alternative hypothesis: $\mu_{men} \neq \mu_{women}$

Since we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

2）Determine the critical value(s).

Based on the significance level $\alpha=0.01$ and $\alpha/2=0.005$ we can find the critical values with the normal standard distribution, we are looking for values that accumulates 0.005 of the area on each tail on the normal distribution.

For this case the two values are $z_{\alpha/2}=-2.58$ and $z_{1-\alpha/2}=2.58$

3) Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$z=\frac{23-28}{\sqrt{\frac{5^2}{25}+\frac{10^2}{30}}}}=-2.40$

4）What is the p-value for this hypothesis test?

Since is a bilateral test the p value would be:

$p_v =2*P(z$

5）Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the mean number of times men and women send a Twitter message in a day.

4 0

3 years ago

Answer part 1 and part 2 please I need help

7nadin3 [17]

Step-by-step explanation:

<u>Step 1: Answer the first question</u>

Area of a triangle → $A = \frac{b*h}{2}$

$\frac{4*6}{2}$

$\frac{24}{2}$

$12$

Total Area → $12 * 2=24$

Answer: Option D, $24\ square\ units$

<u>Step 2: Answer the second question</u>

We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8. We also know that the width is 6 so we multiply 8 by 6 and we add 24. This matches option B

Answer: Option B, $(8 * 6 + 24)\ square\ units$

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2 years ago

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Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area

Ivenika [448]

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

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3 years ago

7|-4| - 5(-4)^2<br><br> and<br><br> 3/8(-4/9) + 2/3(5/6)

IgorLugansk [536]

Answer:

eh 0.38 or 0.38 repeating

Step-by-step explanation:

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3 years ago

What is the sales tax for an item that costs $1400 and has a sales tax rate of 75% ?

dexar [7]

What this question is asking, without all the wording, is what is 75% of 1400. You can easily find this by multiplying 1400 by 0.75. This will be your sales tax.

$1400*0.75$

$1050$

Sales Tax: $1050

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3 years ago