When they work together, they do 1/3 of the job in one hour.
(Bubba) + (Skeeter) = 1/3 job/hour
Subtract 'Bubba'
from each side: Skeeter = (1/3 job/hour) - (Bubba)
Bubba, working alone, does 1/8 of the job in one hour.
Skeeter = (1/3 job/hour) - (1/8 job/hour)
Can you subtract 1/8 from 1/3 ?
Before you can subtract, you'll need a common denominator.
I've got a nice one here . . . 24 .
1/3 = 8/24
1/8 = 3/24
Skeeter = (1/3 job/hour) - (1/8 job/hour)
= (8/24 job/hour) - (3/24 job/hour)
= 5/24 job/hour .
Skeeter mows at the rate of 5/24 field/hour.
The other way to look at that is: 24/5 hour/field = 4.8 hours .
Check:
Bubba: 1/8 field per hour = 0.125
Skeeter: 1/4.8 field per hour = 0.208333...
Together: (0.125 + 0.208333)
= 0.333... field per hour
= 3 hours/field . yay!
Equation: 0.25x + 200
0.25x + 200 = 345
0.25x = 145
140/0.25 = 580 miles
Answer: 580 miles
Answer:
FAIL TO REJECT
NOT ENOUGH
Step-by-step explanation:
Given a Pvalue of 0.32
Decision region :
When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.
Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis
Therefore, for the scenario above, where Pvalue = 0.32
Possible α values are ; 0.1, 0.05, 0.01
For all α - values listed, the Pvalue is greater than α
Pvalue > α ; Hence, FAIL TO REJECT the Null.
Conclusion :
There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.
Answer:
x = 12
Step-by-step explanation:
Equation: 0.52(x) + 0.72(4) = 0.57(x + 4)
0.52(x) + 0.72(4) = 0.57(x + 4)
Multiply
0.52x + 2.88 = 0.57x + 2.28
Subtract 0.52x from both sides
2.88 = 0.05x + 2.28
Subtract 2.28 from both sides
0.6 = 0.05x
Divide all sides by 0.05
x = 12
-Chetan K
3^2 + 4^2 = 5^2
65/5=13
3x13 =39
4 x 13= 42