A survey was done among retired senior executives who had returned to work. It found that after returning to work, 36% were employed by another organization, 31% were self-employed, 26% were either freelancing or consulting, and 7% had formed their own company. To see if these percentages are consistent with residents of a county, a local researcher surveyed 300 retired executives who have returned to work and found that 102 were working for another company, 87 were self-employed, 96 were either freelancing or consulting, and 15 have formed their own companies. At = 0.1, test the claim that the percentages are the same for those people in that county. Is there enough evidence to reject the claim?

answer: 25 is the correct answer

step-by-step explanation:

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°