Answer:
A:
Step-by-step explanation:
***I'm pretty sure A should read "NO, because the test value 1.257 is less than the critical value 1.782. Please check the wording of the problem***
H0 : μ ≤ 400
Ha : μ > 400 (claim)
Sample mean: 6,155/13
Sample standard deviation: √44422.4359
Critical test value:
t > 1.782
t = (6,155/13 - 400)/[(√44422.4359)/√13] = 1.257
1.257 < 1.782 ; we fail to reject the null hypothesis
There is not enough evidence at the 5% level of significance to support the claim that the mean battery life is at least 400 hours.
7. 65.875
8. 923.25
Hope this help you
Answer:
5 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = 1200 / ( 6000 × 0.04 ) = 5
t = 5 years
The time required to
accumulate simple interest of $ 1,200.00
from a principal of $ 6,000.00
at an interest rate of 4% per year
is 5 years.
Answer:
4/5
Step-by-step explanation:
In a right triangle, the longest side is always the hypotenuse. Hence
Hypotenuse =5cm
The side opposite to the angle theta is the opposite, hence
Opposite = 4cm
Required
Sin theta
According to SOH CAH TOA
Sin theta = opposite/hypotenuse
Sin theta = 4/5
Hence the sine of the angle opposite the side of length 4cm is 4/5
In order to use substitution, you need to isolate a variable on one of the equations:
-2x+y=0
y=2x
Then you plug that equation into the other equation. Since we isolated y, we plug in 2x for y in the other equation:
3x-(2x)=5
x=5
Then plug the value you found into any equation to solve for the other variable:
3(5)-y=5
15-y=5
-y=-10
y=10
So your answers are x=5, y=10
