What’s percent is equal to 7/20
2 answers:
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Answer:
32°
Step-by-step explanation:
use this formula :
Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:
Sin(x) = 28/53
Sin(x)= 0.5283018868
So to find x just do Sin^-1
x = Sin^-1 (0.5283018868)
you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚
if you put them into your calculator you will get 32˚ as your answer
Answer:
99% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is [$(-31.82) , $12.02].
Step-by-step explanation:
We are given that a random sample of 16 sales receipts for mail-order sales results in a mean sale amount of $74.50 with a standard deviation of $17.25.
A random sample of 9 sales receipts for internet sales results in a mean sale amount of $84.40 with a standard deviation of $21.25.
The pivotal quantity that will be used for constructing 99% confidence interval for true mean difference is given by;
P.Q. = ~
where, = sample mean for mail-order sales = $74.50
= sample mean for internet sales = $84.40
= sample standard deviation for mail-order purchases = $17.25
= sample standard deviation for internet purchases = $21.25
= sample of sales receipts for mail-order purchases = 16
= sample of sales receipts for internet purchases = 9
Also, =
= 18.74
The true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is represented by ().
Now, 99% confidence interval for () is given by;
=
Here, the critical value of t at 0.5% level of significance and 23 degrees of freedom is given as 2.807.
=
= [$-31.82 , $12.02]
Hence, 99% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is [$(-31.82) , $12.02].
The slope of the function is most positive either side of x=0 and x=2π.
On the interval [0, π/4], the average slope is
On the interval [7π/4, 9π/4], the average slope is
The average rate of change is highest on the intervals [0, π/4] and [7π/4, 9π/4].
On the interval [0, π/4], the average slope is
On the interval [7π/4, 9π/4], the average slope is
The average rate of change is highest on the intervals [0, π/4] and [7π/4, 9π/4].