So the answer would be 84,000. hope that helped
Answer:
And if we solve for a we got
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15
Total questions = 26 + 4 + 15 = 45
45 * 80% = 36 required correctly answered questions.
36 - 26 = 10
Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.
<em>The right answer for:</em>
<em>cos(-170°) = _____</em>
<em>is:</em>
<em>-cos10°</em>
<h2>
Explanation:</h2>
The cosine function is an even function, which means that for every point on the graph of then the point also lies on the graph of the function. In other words, we can write:
But:
So:
By property:
<h2>Learn more:</h2>
Trigonometric functions: brainly.com/question/2680050
#LearnWithBrainly
Answer:
B. It is a composite number.
Step-by-step explanation:
143 can be divided by 11 and 13 making it a composite number.