Answer:
a) The probability to select at least 9 graduated students is 0.8824
b) It is unusual to get 7 or less graduated students out of 10 randomly selected from the special program.
Step-by-step explanation:
a) Let X be the total amount of graduated students in the selection. X is a random variable with Binomial distribution B(10,0.94). The probability of X to be at least 9 is
Thus, the probability is 0.8824
b) Lets compute the probability of X being at most 7 (because it would be unusual to get few students). Note that
P(X ≤ 7) = 1-P(X > 7) = 1- (P(X=8) + P(X ≥9))
P(X≥9) was computed before, and
Thus,
P(X ≤ 7) = 1-(0.0986+0.8824) = 0.019 < 0.05
The probability to select 7 or less graduated students is 0.019, less than 2% of the cases. We can say that it is unusual.
Answer:
Step-by-step explanation:
Noah's running speed = 6 mph.
Use formula 
where
D is the distance,
v is the speed,
t is the time.
If 
hour, then 
miles.
If 
hour, then 
miles.
If 
hours, then 
miles.
If 
hours, then 
miles.
If 
hours, then 
miles.
If 
hours, then 
miles.
So, the table is
Answer: B. x=10
Step-by-step explanation:
<u>Concept</u>
- If it is an isosceles triangle, then the altitude would also be the median of the base, meaning that it divides the base evenly.
- We are going to use the Pythagorean theorem which is a²+b²=c², where [a] and [b] are legs, and [c] is the hypotenuse.
<u>Given</u>
Hypotenuse (relative) = √74
Altitude (one leg) = 7
The other leg (half of the base) = x/2
<u>Solve</u>
a² + b² = c²
(7)² + (x/2)² = (√74)²
49 + x²/4 = 74
x²/4 = 25
x² = 100
x = 10
Hope this helps!! :)
Please let me know if you have any questions
From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5
