Answer:
30.48 miles
Step-by-step explanation:
This can be represented as a right angle triangle with sides 20 miles and 23 miles. The hypotenuse is the distance from the starting point. Pythagoras theorem states that for a right-angled triangle, the square of side of the hypotenuse is equal to the sum of squares of the other two sides. It is given by the equation:
c² = a² + b², where c is the hypotenuse and a,b are the sides
Let a = 20 miles and b = 23 miles
c² = a² + b²
c² = 20² + 23²
c² = 400 + 529
c² = 929
c = √929 = 30.48
c = 30.48 miles
1. AB/EF = P(ABCD)/P(EFGH)
4/5=16/P(EFGH)
P(EFGH)=5*16/4=5*4=20
2. V(old)=lwh =
V(new)=2*l*2*w*2*h =2³(lwh)=2³*V(old)= 8*3600=28800
3. A(old)=ab
A(new)=5a*5b=25ab=25A(old)
new area will be 25 times larger
Answer:
a
$10,151
$11448.12
b

Step-by-step explanation:
From the question we are told that
The sample size is n = 19
The sample mean is
$10,800
The standard deviation is
$1095
The population mean is
$225
Given that the confidence level is 99% the level of significance is mathematically represented as
%
=> 
Now the critical values of
is obtained from the normal distribution table as

The reason we are obtaining values for
is because
is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while
is the area under the normal distribution curve for just one tail and we need the value for one tail in order to calculate the confidence interval
Now the margin of error is obtained as

substituting values


The 99% confidence interval for the population mean yearly premium is mathematically represented as

substituting values


$10,151
$11448.12
The largest sample needed is mathematically evaluated as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{\mu} ]](https://tex.z-dn.net/?f=n%20%3D%20%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%20%20%20%7D%20%2A%20%20%5Csigma%20%7D%7B%5Cmu%7D%20%5D)
substituting values
![n = [ \frac{ 2.58 * 1095}{225} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%20%5B%20%20%20%20%5Cfrac%7B%202.58%20%20%2A%20%201095%7D%7B225%7D%20%5D%5E2)

Answer:
z=35.1
Step-by-step explanation: