Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is 
Step-by-step explanation:
From the question we are told that
The confidence interval interval is 
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows
Generally the margin of error is mathematically represented as
Where K is the length of the confidence interval which iis mathematically represented as
Hence
So the confidence interval can now be represented as
Answer:
Which graph represents the solution set to this system of equations? –x + 2y = 6 and 4x + y = 3
On a coordinate plane, a line goes through (negative 1, negative 1) and (0, 3) and another line goes through (1, 4) and (2, 2).
On a coordinate plane, a line goes through (negative 4, 0) and (0, 4) and another line goes through (negative 1, 1) and (0, negative 3).
Step-by-step explanation:
Oh that’s on safari i just looked it up lol. go check it out. sorry if it’s not there for u. but i didn’t feel like typing that much
Answer:
The amount after 3 years of investment is $20763 .
Step-by-step explanation:
Given as :
The principal invested = p =$15,000
The rate of interest = r = 3% compounded annually
The time period = t = 11 years
Let The Amount after 3 years = $ A
<u>From Compounded method</u>
Amount = Principal × 
Or, A = p × 
Or, A = $15,000 × 
Or, A = $15,000 × 
Or, A = $15,000 × 1.3842
Or, A = $20763
So, Amount = A = $20763
Hence The amount after 3 years of investment is $20763 . Answer
Hat means y + z = 180.
<span>y is thrice than z means y = 3 * z. </span>
<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>
<span>combine like terms to get 4 * z = 180. </span>
<span>solve for z to get z = 180 / 4 = 45 degrees. </span>
<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>
y = 135
<span>z = 45 </span>
y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>
<span>solution is confirmed to be good.</span>
