Answer:
(3)11
Step-by-step explanation:
We are given that
We have to find the sum of positive roots of the equation.
Factor of 336
2,3,4,6,8,7,
Let x=2
x=2 is not the root of equation
x=-2
Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3
Therefore, x=3 is the root of equation.
Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.
Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:
Given that resulting expression is a second order polynomial of the form , there are two real and distinct solutions. Roots of the expression are:
and
.
Now, it is also required to determine which part of the interval is equal to a number greater than zero (positive). That is:
and
.
Therefore, exists two sub-intervals: and
. Besides,
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Answer:
Z-score 1.96
Margin of error d= 0.04323
Step-by-step explanation:
Hello!
The study variable in this case is
X: Number of people that oppose the use of photo-cop for issuing traffic tickets in a sample of 500.
n= 500
The parameter of interest is the proportion of people that opposes it.
The estimated proportion is p'= 300/500= 0.6
To estimate the population proportion per Confidence interval you have to approximate the distribution of the sample proportion p' to normal:
p'≈N(p;p(1-p)1/n)
The mean of this distribution is p and the variance is p*(1-p)*1/n
To construct the Confidence interval, since the value of the population proportion is unknown, an estimated variance is used:
p'(1-p')*1/n ⇒ then the estimated standard error is √(p'(1-p')*1/n)
The formula for the confidence interval is:
p' ± *
Where " *
" represents the margin of error of the interval.
Now for a confidence level of 0.95 the value of Z is
The estimated standard error is already calculated:
The margin of error (d) is then:
d= *
= 1.965 * 0.022
d= 0.04323
I hope it helps!