<span>Sinners can do a number of things in regards to obtaining something. The seven deadly sins are the go-to sins and the most widely viewed on the planet. Things such as gluttony, envy, and lust can possibly get you what it is that you want. Going above and beyond what normal sinners would do is what will give you the edge.</span>
Answer:
.43 · 80 = 34.4
Step-by-step explanation:
percentages into decimals = move decimal place to left two places
'of' means multiply in math
equations have equal (=) signs
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = ![\frac{22}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B7%7D)
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 ×
× (3.5)²
48 = Ф/360 ×
×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Answer:
![26.12\:](https://tex.z-dn.net/?f=26.12%5C%3A%3C%5C%3A%5Cmu%5C%3A%3C%5C%3A31.48)
Step-by-step explanation:
Since the population standard deviation
is unknown, and the sample standard deviation
, must replace it, the
distribution must be used for the confidence interval.
The sample size is n=8.
The degree of freedom is
,
.
With 95% confidence level, the
(significance level) is 5%.
Hence with 7 degrees of freedom,
. (Read from the t-distribution table see attachment)
The 95% confidence interval can be found by using the formula:
.
The sample mean is
hours.
The sample sample standard deviation is
hours.
We now substitute all these values into the formula to obtain:
.
![26.12\:](https://tex.z-dn.net/?f=26.12%5C%3A%3C%5C%3A%5Cmu%5C%3A%3C%5C%3A31.48)
We are 95% confident that the population mean is between 26.12 and 31.48 hours.