Answer:
d = 233.23 feet
Step-by-step explanation:
Given that,
Justin walks 200 feet to the east, then turns and walks 120 feet due south.
We need to find the total distance walked by Justin. Let the distance be d.
We can use the Pythagoras theorem to find it such that,

So, he walk 233.23 feet in all.
Answer:
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 500
Given standard deviation of the Population = 50
Let 'X' be the random variable in normal distribution
Given X = 600

<u><em>Step(ii)</em></u>:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = P(z≥2)
= 0.5 - A(2)
= 0.5 -0.4772
= 0.0228
<u><em>Final answer</em></u>:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
For this case, the first thing we should do is use the following equation:
x ^ 2 + x-30
Here, we substitute the value of x = 20
We have then:
(20) ^ 2 + (20) -30 = 390 m ^ 2
Answer:
the area of the land when the length of the dentist's office is 20 meters is:
390 m ^ 2
Answer:
<u>The z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mean of time to finish a test = 60 minutes
Standard deviation of time to finish a test = 10 minutes
Time that a student finishes the test = 23 minutes
2. What is the z-score for the student?
z-score = (Time that a student finishes the test - Mean of time to finish a test)/Standard deviation of time to finish a test
Replacing with the real values:
z-score = (23 -60)/10 = -37/10 = -3.7
<u>z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>