Option B: 1
Option C: 6
Solution:
Let us first define the vertical angle theorem:
Vertical angle theorem:
<em>If two lines are intersecting each other, then the vertically opposite angles are congruent.</em>
To find angle 7 is equal to which angle:
Angle 1 and angle 7 are vertically opposite angles.
Therefore by vertical angle theorem, angle 7 = angle 1
Option B is the correct answer.
To find angle 4 is equal to which angle:
Angle 4 and angle 6 are vertically opposite angles.
Therefore by vertical angle theorem, angle 4 = angle 6
Option C is the correct answer.
Answer:
Thus, option “c” 10% is correct.
Step-by-step explanation:
The percentage of students that like dubstep = 30%
The percentage of students that like trance music = 25%
The percentage of student that wants only house music = 20%
The percentage of students that like bot dubstep and trance = 15%
Now we have to find the percentage of students that like trance music but nor dubstep.
The percentage of students that like the trance music but nor dubstep = 100% - 30% – 25 % - 20% - 15%
The percentage of students that like trance music but nor dubstep = 10%
Thus, option “c” 10% is correct.
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is lower than 800, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
QPN and TSU !!!! they are both angles on the exterior with a larger value!!
Step-by-step Answer:
What is the solution to the system of equations?
y = –3x – 2 ..............(1)
5x + 2y = 15..............(2)
Substitute (1) in (2) to give
5x + 2(-3x-2) = 15
5x-6x-4 = 15
-x-4=15
solve for x:
-4-15 = x
x=-19
Now substitute x=-19 into equation (1)
y = -3x-2 = 57-2 = 55
Therefore the solution is (-19, 55)
