Answer:
Step-by-step explanation:
y - = m( x -
) point - slope form of linear equation ;
y = mx + b slope-intercept form of linear equation, (0, b) are coordinates of y-intercept ;
<em>(b).</em> y - 3 = - 7(x - 8)
<u><em>y = - 7x + 59</em></u>
<em>(c).</em> y - (- 2) = [ x - ( - 7)] ⇔ y + 2 =
( x + 7)
<u><em>y = </em></u><u><em> x + </em></u>
<u><em> </em></u>
<em>(d).</em> <u><em>y = - </em></u><u><em> x + 9</em></u>
Given
A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.
To find:
The area of the park excluding the court at the rate of Rs 110 per square meter.
Solution:
Area of a rectangle is:
Area of whole park is:
Area of volleyball court is:
Now, the area of the park excluding the court is:
Therefore, the area of the park excluding the court is 2820 square meter.
Answer:
The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.