Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
The probability that none of the four have been vaccinated is
(1-0.63)^4 = 0.01874161
The probability that at least one has been vaccinated is the complement of this,
≈0.9813
Answer:
We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.
The correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
So then the best option for this case would be:
H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes
Step-by-step explanation:
We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.
The correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
So then the best option for this case would be:
H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes
And in order to test the hypothesis we can use a one sample t test or z test depending if we know the population deviation or not
Given that:
The company uses its cargo vans to deliver packages to locations at a 75-mile radius from the warehouse.
If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.
To find: The inequality to represent the instances when a vehicle other than a cargo van is used.
Solution:
Let x is the distance of a location from the warehouse.
Cargo van will be used if delivery location is within 8 miles of the delivery boundary.
Minimum distance for delivery = 75-8 = 67 miles.
Maximum distance for delivery = 75+8 = 83 miles.
So, the company uses cargo vans for any distance in the range 67 miles to 83 miles. So,

Therefore, the required inequality is
.
All you have to do is put it in fraction form, this is the answer: 5/t=3/p