Answer:
The idea is test if the true mean operating time without recharging is more than 400 minutes (alternative hypothesis) and the complement would represent the null hypothesis, the system of hypothesis are then:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Information given
represent the sample mean time of continuous usage without recharging
represent the population standard deviation
sample size
represent the value to check
represent the significance level
t would represent the statistic for the test
represent the p value for the test
Hypothesis to verify
The idea is test if the true mean operating time without recharging is more than 400 minutes (alternative hypothesis) and the complement would represent the null hypothesis, the system of hypothesis are then:
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation we need to use the t test with the following statistic:
(1)
Replacing the info we got:
Answer:
The width is 10 and the length is 14.
Step-by-step explanation:
To draw this conclusion, first use the equation<em> A = lw = 140
.</em>
Remember the length is six less than twice the width, in other words, the length equals 2 time the width minus 6:<em> l = 2w - 6
</em>
Now you want to substitute numbers in:
140 = (2w - 6)(w)
140 = 2w^2 - 6w
2w^2 - 6w -140 = 0
w^2 - 3w - 70 = 0
Factorable by inspection!
(w - 10)(w + 7) = 0
w = 10
<em>w = -7 (nonsense - ignore)
</em>
I = 14
Your in luck! I was just learning these percent things today 'xD but Not in luck at the same time. I will answer the 2 questions that's the most I can do.
1. $17.50 with a 7% sales tax
Answer: 17.50 times .07 equals 1.23
17.50 plus 1.23 equals 18.73
The answer is $18.73
2. 21.95 with a 4.25% sales tax
Answer: 21.95+4.25=26.20
Hope this helps!! :D this took me a while to figure out and used a bit of my time. So I hope the time was worth it! :)
Answer:
x-intercept is -1; y-intercept is 0.5.
Step-by-step explanation:
The x-intercept is relatively easy to read off. It's the x-value where the graph crosses the x-axis, and here is (-1,0).
The y-intercept is best estimated as (0,+0.5).
The correct answer is the 3rd one on the list.
In order to find how many pieces of 1/3 feet rope you can
make out of 7 feet rope, you have to divide 7 feet by 1/3 feet.
7/ (1/3) = 21 pieces
Therefore, you can make 21 1/3 – feet ropes.