If you are given the measure of angle 4, then we know angle 2 is equal since it is a vertical angle. The angle of a line is 180 degrees, so subtract the measure of angle 4 (and/or 2) which will give you the angle measure for both angle 1 and 3, since those are also equal due to vertical angles. Hope that helped! :)

4 0

3 years ago

In one area, monthly incomes of technology-related workers have a standard deviation of $650. It is believed that the standard d

Virty [35]

Answer:

There is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.

Step-by-step explanation:

Here we have our null hypothesis as H₀: σ² = s²

Our alternative hypothesis is then Hₐ: σ² ≠ s²

We therefore have a two tailed test

To test the hypothesis of difference in standard deviation which is the Chi squared test given as follows

$\chi ^{2} = \dfrac{\left (n-1 \right )s^{2}}{\sigma ^{2}}$

Where:

n = Size of sample

s² = Variance of sample = 950²

σ² = Variance of population = 650²

Degrees of freedom = n - 1 = 71 - 1 = 70

α = Significance level = 0.1

Therefore, we use 1 - 0.1 = 0.9

From the Chi-square table, we have the critical value as

1 - α/2 = 51.739,

α/2 = 90.531

Plugging the values in the above Chi squared test equation, we have;

$\chi ^{2} = \dfrac{\left (23-1 \right )950^{2}}{650 ^{2}} = 49.994$

Therefore, since the test value within the critical region, we do not reject the null hypothesis, hence there is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.

6 0

3 years ago

Write the fraction or mixed number as a decimal 4/10

katovenus [111]

Fractions can be read as division. The top number (also called the numerator) is divided by the bottom number (also called the denominator).

$\frac{4}{10}$ 4 / 10 = 0.4

So, the answer is 0.4.

4 0

4 years ago

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