What is the slope of the equation Y = 5/4x-7/4
2 answers:
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The dimensions of the rectangular( length and width) are 14m and 15m.
Here we have to find the dimension of the length and width.
Data given:
Fencing = 58m
Area = 210 m²
Let us assume the length be x
By this, we get the width as:
width = 58 - 2x / 2
= 29-x
As the area is 210 m²
The formula to find the area of the rectangular is:
Area = length ×width
210 = x ( 29 -x)
x² - 29 x + 210 = 0
Formula to find the value of x from the quadratic equation:
x = -b ±
For the general equation ax² + bx + c =0
As the equation is:
x² - 29x + 210 = 0
a = -1
b = -29
c = -210
So,
x = 29 ± / 2(-1)
= 29± 1/-2
= 14, 15
29 - x = 15, 14 (for the value of x = 14 and 15 respectively)
Therefore the dimensions are 14m and 15m.
To know more about the rectangular refer to the link given below:
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Answer:
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1165
p = 70% = 0.7
Alpha, α = 0.02
Number of people who agreed , x = 746
First, we design the null and the alternate hypothesis
This is a two-tailed test.
Formula:
Putting the values, we get,
Now,
Since,
Since, the calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to support the claim that the true proportion differs from 70%.
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.