For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
You get imaginary roots for this equation.
x=4-5i
x=4+5i
The answer is 184. 23 * 8 = 184. 184 * 2 = 368. 368 ÷ 2 = 184
Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = 
Therefore, measure of Hypotenuse is 18√3 units.
So
in this problem we can see that there will be 60 people at the party.
Following the conditions for this event that state the following:
$750 for up to 30 people and every extra person pays $20. To show
that the cost will be $1350 in total we simply do this:
For
30 people we have $750 dollars. Now every other person after pays
only $20. That means that another the other 30 people will pay in
total only $600.
If
we add them we get: $750 + $600 = 1350. This shows that the cost will
be $1350.
<span>
I
hope it helps, Regards.</span>
