69.5 percent of 85 is 59.075
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

This means that the correct answer is given by option c.
Answer:
k = 77/10
Step-by-step explanation:
The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.
probability of blue marbles = 2/7
probability of red marbles = 3/k
probability of green marbles = 5/2k
The sum of the individual probability is equals to 1. Therefore,
2/7 + 3/k + 5/2k = 1
collect like terms
(6 + 5)/2k = 1 - 2/7
11/2k =(7 - 2) /7
11/2k = 5/7
cross multiply
10k = 77
divide both sides by 10
k = 77/10
Answer:
2nd car is running faster than the first car by 2.01 units.
Step-by-step explanation:
Let's assume that
- the velocity of first car,

- and the velocity of second car

=> speed of first car,



= 32.01 units
and speed of second car,

= 30 units

= 2.01 units
Hence, 2nd car is running faster than the first car by 2.01 units.