Answer:
1 : 30
Step-by-step explanation:
4 seconds : 2 min
however we know that 1 min has 60 seconds. Hence 2 min will have 2 x 60 = 120 seconds
Therefore we can substitute 2 min with 120 seconds
4 seconds : 2 min
4 seconds : 120 seconds (simplify by dividing both sides by 4)
4/4 : 120/4
1 : 30
Answer: 119
Step-by-step explanation:
Let the acre of wheat to be cultivated be x.
Since the farm must grow three times as many acres of corn as wheat, therefore, corn = 3x
The information given can be used to form a equation as:
42(3x) + 30x = 18564
126x + 30x = 18564
156x = 18564
x = 18564/156
x = 119 acres of wheat
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)

The division fact means that 5 can go into 30 6 times.
hope this helped!!!!