Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).
<h3>What is the mean and the standard error for the distribution of differences?</h3>
For each sample, the mean and the standard error are given as follows:
.
.
For the distribution of differences, they are given by:
.
<h3>What is the confidence interval?</h3>
The interval is given by:
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.645.
Hence the bounds of the interval are:
More can be learned about the z-distribution at brainly.com/question/25890103
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<h2>Given :-</h2>
- Two adjacent angles of a parallelogram are in the ratio of 5 : 2.
<h2>To Find :-</h2>
- What is the all angles of the parallelogram.
<h3 /><h3 /><h2>Solution :-</h2>
Let, the first angles be 5x
And, the second angles will be 2x
As we know that,
★ Sum of all angles = 180° ★
According to the question by using the formula we get,
- ⇒
- ➠
Hence, the required angles are,
- First angles = 5x = 5(25.7°) = 128.5°
- Second angles = 2(25.7°) = 51.4°
As we know that,
opposite angles in a parallelogram
is equal.
∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.
7.5 min per walk around the block
Explanation:
The equation for this problem can be modeled in y = mx + b form.
m represents the rate of change and b represents the initial value or constant.
y = 10x + 20
x represents the number of hours he spent delivering newspapers
y is his total money after whatever number of hours he worked
The rate is 10, because it determines how much money he earns for each hour.
The y-intercept is 20, representing the starting amount of money in his bank account.
