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4 years ago

Someone help me on this one

Mathematics

1 answer:

juin [17]4 years ago

6 0

It's an isosceles triangle, so the angles at the base are congruent:

$m\anlge WXY=m\angle WZY$

The triangle XYW is a rectangular triangle.

We know that the sum of the measures of angles in a triangle is 180°.

Therefore we have the equation:

$m\angle YWZ+90^o+17^o=180^o\\\\m\angle YWZ+107^o=180^o\ \ \ |-107^o\\\\m\angle YWZ=73^o$

Answer: 73

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Which angle In ABC has the largest measure ?

Rus_ich [418]

The angle with the largest measure is opposite the longest side. The longest side is 12. It is opposite angle B. The appropriate choice is ...

B. ∠B

4 0

3 years ago

Read 2 more answers

A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and

mr Goodwill [35]

Answer:

Bias for the estimator = -0.56

Mean Square Error for the estimator = 6.6311

Step-by-step explanation:

Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.

To find - Determine the bias and the mean squared error for this estimator of the mean.

Proof -

Let us denote

X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)

Now,

An estimate of mean, μ is suggested as

$\mu = \frac{3X_{1} + 4X_{2} }{8}$

Now

Bias for the estimator = E(μ bar) - μ

= $E( \frac{3X_{1} + 4X_{2} }{8}) - 4.5$

= $\frac{3E(X_{1}) + 4E(X_{2})}{8} - 4.5$

= $\frac{3(4.5) + 4(4.5)}{8} - 4.5$

= $\frac{13.5 + 18}{8} - 4.5$

= $\frac{31.5}{8} - 4.5$

= 3.9375 - 4.5

= - 0.5625 ≈ -0.56

∴ we get

Bias for the estimator = -0.56

Now,

Mean Square Error for the estimator = E[(μ bar - μ)²]

= Var(μ bar) + [Bias(μ bar, μ)]²

= $Var( \frac{3X_{1} + 4X_{2} }{8}) + 0.3136$

= $\frac{1}{64} Var( {3X_{1} + 4X_{2} }) + 0.3136$

= $\frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})] }) + 0.3136$

= $\frac{1}{64} [{3(57.76) + 4(57.76)}] } + 0.3136$

= $\frac{1}{64} [7(57.76)}] } + 0.3136$

= $\frac{1}{64} [404.32] } + 0.3136$

= $6.3175 + 0.3136$

= 6.6311

∴ we get

Mean Square Error for the estimator = 6.6311

6 0

3 years ago

How could I solve this ? 14 + k = 3k -2

Diano4ka-milaya [45]

Answer:

14 + k = 3k - 2

- k - k

14 = 2k - 2

+2 +2

16 = 2k

8 = k

Step-by-step explanation:

6 0

3 years ago

Graph the solution set of the inequality 1/4 x >= - 2

Troyanec [42]

Answer:

-8 is one point and the arrow goes to 10

Step-by-step explanation:

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3 years ago

Use distributive property to simplify the expression: <br> 5/6 (x + 1/2 + 4)

Murrr4er [49]

5/6x+5/13+20/6
5/6x+30/78+260/78
5/6x+290/78
5/6x+145/39
i hope this helps and i didn't mess up....

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3 years ago