Answer: D) vertical angles theorem, alternate interior angles theorem
Angle 5 = Angle 6 by the alternate interior angles theorem
Angle 5 = angle 4 by the vertical angles theorem
By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.
We won't use the angle addition theorem or the right angles theorem.
Answer:
3rd one? Someone correct me if I’m wrong
Step-by-step explanation:
Answer:
The Answer is 76.
Step-by-step explanation:
Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'', we can see that exemplary employees are top 10% rated employees.
We have the formula for normal distribution:
z=(X-M)÷σ
where z is the <em>minimum z-score </em>for top 10% employee, X is the <em>minimum </em>score for top 10% employee, M is the <em>mean</em> of the score distribution, σ is the <em>standard deviation</em> of the score distribution.
The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90
If we look at z-table, corresponding value for a is 1.28155
We can now put the values in the formula:
1.28155=
So X=(1.28155×20)+50=75.631
Therefore minimum score for exemplary employee is 76.
Answer:
<h2> 2.11¢</h2>
Step-by-step explanation:
We are expected to solve the weighted average price per kilowatt hour.
Step one:
The formula is
W =∑wX/∑w
W=weighted average
w=weights applied to x values
X=data values to be averaged
Step two:
given the total killowatt hour is 1800
the 1st = 500 at 3¢
2nd= 1000 at 2¢
3rd = (1800-1000+500) at 1¢ =(1800-1500) at 1¢ = (300) at 1¢
Step two:
Substituting into the expression we have
W =(500*3)+(1000*2)+(300*1)/500+1000+300
W=1500+2000+300/1800
W=3800/1800
W=2.11¢
The average price per kilowatt hour the utility paid to Mr. Vestas last month is 2.11¢
Step-by-step explanation:
The answer is 70 because each men chops 7 trees so 10 men = 70 trees
