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MrRissso [65]
3 years ago
5

Select the correct answers.

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0

Answer:

Option B is the right choice,congruent to \angle K are \angle M,\angle E,\angle C.

Step-by-step explanation:

If we look on to the diagram and the options we can sort out the angles on the basis of our requirement.

There are three sets arising from the angles.

\angle K=\angle P [Corresponding angles]

The corresponding angles are the ones at the same location at each intersection.

\angle K=\angle M [Vertically opposite angles]

And

\angle M=\angle P [Alternate interior angles]

Now

\angle R =\angle C =\angle E [Corresponding angles]

\angle C=\angle A [Vertically opposite angles]

\angle G=\angle E [Vertically opposite angles]

\angle K=\angle M=\angle P=\angle R=\angle C=\angle A=\angle E=\angle =\angle G

So the correct pair from the options given is B which includes \angle M=\angle E=\angle C

klio [65]3 years ago
4 0

Answer:

angles M,E,C are congruent to angle K

Step-by-step explanation:

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OK.

Divide 1,000 by 10.
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7x+x-4 = 180
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Write 8/6 as a fraction with a denominator of 3
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3 years ago
Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow
Pavel [41]

Answer:

z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53

Step-by-step explanation:

Data given and notation

\bar X_{1}=104 represent the mean for the sample 1

\bar X_{2}=106 represent the mean for the sample 2

\sigma_{1} =8.4 represent the population standard deviation for the sample 1

\sigma_{2}=7.6 represent the population standard deviation for the sample 2

n_{1}=80 sample size for the group 1

n_{2}=70 sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

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

H0:\mu_{1}-\mu_{2} =0

H1:\mu_{1} -\mu_{2} \neq 0

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (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.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53

7 0
3 years ago
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