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PilotLPTM [1.2K]
3 years ago
11

given triangle ABC with MB equals 62 degrees and side AC extended to d as shown below which value of x makes a b congruent to CB

Mathematics
1 answer:
disa [49]3 years ago
7 0
4) 121 degrees 
because if x is 121 degrees then angle BCA will equal 59 degrees (the two angles must equal 180) so using the sum of a triangle's angles, then angle BAC will have to equal 59, making the triangle an isoceles, which will make AB to be congruent to BC.
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ioda

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Step-by-step explanation:

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3 years ago
Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the popu
aleksley [76]

Answer:

b. Student-t with 48 degrees of freedom

Step-by-step explanation:

For this case we need to use a Two Sample t Test: equal variances.

Assumptions

When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two  populations are normal, and that the variances of the two distributions are the same".

Let \bar x and \bar y be the sample means of two sets of data of size n_x and n_y respectively. We assume that the distribution's of x and y are:

x \sim N(\mu_x ,\sigma_x =\sigma)

y \sim N(\mu_y ,\sigma_y=\sigma)

Both are normally distributed but without the variance equal for both populations.

The system of hypothesis can be:

Null hypothesis: \mu_x =\mu_y

Alternative hypothesis: \mu_x \neq \mu_y

We can define the following random variable:

t=\frac{(\bar x -\bar y)-(\mu_x -\mu_y)}{s\sqrt{\frac{1}{n_x}+\frac{1}{n_y}}}

The random variable t is distributed t \sim t_{n_x +n_y -2}, with the degrees of freedom df=n_x +n_y -2= 20+30-2=48

And the pooled variance can be founded with the following formula:

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b. Student-t with 48 degrees of freedom

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3 years ago
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mario62 [17]

Answer:

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Step-by-step explanation:

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Afina-wow [57]
The answer is:
D. <span>y-4<3x-1</span>
6 0
4 years ago
PLEASE HELP ive been stuck on this for a long time
Tomtit [17]

Answer:

Below

Step-by-step explanation:

You can use Pythagorean theorem to find the hypotenuse of a right triangle.

a2 + b2 = c2

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Now that you have this, you need to find the square root

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Rounding this to the tenth it would be: 5.57

Final answer: C = 5.57

hope this helps! :)

5 0
3 years ago
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