Answer:
(b)
Since we don't have prior estimation for the population proportion we can use the value 
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=54
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior estimation for the population proportion we can use the value . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=54
Answer:
Option (2)
Step-by-step explanation:
From the table attached.
First column is representing the x-values (input values) and second column is representing the value of the function (output values).
For x = -6,
f(x) = 8
For x = 7,
f(x) = 3
For x = 4,
f(x) = -5
For x = 3,
f(x) = -2
For x = -5,
f(x) = 12
Therefore, f(x) = -2 is one of the output values.
Option (2) will be the correct option.
Answer:
y=3
Step-by-step explanation:
Subtract 30 from both sides
-5y+30=15
-5y=-15
Divide by -5 on both sides
y=3
Hope this helps! :)
Answer:
Therefore,
Jana bikes 18 miles in one hour.
Step-by-step explanation:
Given:
Jana bikes,
15 miles ---------------> in 50 minutes
To Find:
How many miles ------------------> in 1 hour = 60 minutes
Solution:
Let 'x' miles Jana Bikes in 1 hour or 60 minutes
As, 1 hour = 60 minutes
The Ratio of Equation will be
Cross Multiplying we get
Therefore,
Jana bikes 18 miles in one hour.
Answer:
Triangle A and Triangle B
