Answer:
[0.4235, 0.5365]
Step-by-step explanation:
Data given and notation
n=300 represent the random sample taken
X=300-98-58=144 represent the people that support the candidate A in the sample
estimated proportion of people that support the candidate A in the sample
represent the significance level
Confidence =0.95 or 95%
p= population proportion of people that support the candidate A.
Confidence interval
The confidence interval would be given by this formula
For the 95% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4235;0.5365).

Answer: The correct option is tan(F).
Explanation:
In the given figure the triangle is a right angle triangle because
.
It is also given that
and
.
Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.

The value of cos(F) is
.

The value of sin(F) is
.

The value of sin(D) is
.

The value of tan(F) is 1. Which is not equal to
.

The value of cos(D) is
.
Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
Answer:
Between the two persons presented above, Julie had ridden farther.
Step-by-step explanation:
This is because from the routes she had taken, she would be covering greater distance compared to Kyle. Julie still ad to ride from the complex to school.