Answer:
Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %
Step-by-step explanation:
We are given the following in the question:
Mean storage capacity = 60 ampere-hour
95% confidence interval =
Thus, the correct answer based on the confidence interval is
Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %
Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah
Thus, the battery storage is different from 60 Ah because the mean storage capacity does not lie in the 95% confidence interval.
The factoring can be done similarly to a quadratic equation thanks to x^4 being the square value of x^2.
<span>x^4 + 6x^2 - 7
x^4</span><span> - x^2</span> + 7x^2 - 7
(x^4 - x^2) + (<span>7x^2 - 7)
</span>x^2(x^2 - 1) + 7(<span>x^2 - 1)
</span>(x^2 + 7)(x^2 - 1)
<span>(x^2 + 7)(x - 1)(x + 1)
</span>
Factored completely we get: <span>(x^2 + 7)(x - 1)(x + 1)</span>
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Well you'd need to convert 45 miles to km
45m = 539.72km.
So the car goes 539.72km an hour.
Now divide 869 by that to get how long it would take.
You get about 1.61 hours.