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3 years ago

Find mHK please help

Mathematics

1 answer:

Damm [24]3 years ago

4 0

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

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The average annual bonuses, $\bar {x}_2$ received by employees from company B

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The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

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Step-by-step explanation:

1. The required information are

The average annual bonuses, $\bar {x}_1$ received by employees from company A

The average annual bonuses, $\bar {x}_2$ received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: $\bar {x}_1$ - $\bar {x}_2$ ≤ 100

The alternative hypothesis is Hₐ: $\bar {x}_1$ - $\bar {x}_2$ > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

$z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}$

At 0.5 level of significance, the critical $z_\alpha$ = ± 0

The rejection region is z > $z_\alpha$ and z < - $z_\alpha$

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