Answer:
Step-by-step explanation:
The sum of interior angles of a 5-sided polygon is 540 degrees.
We sum all the angles to get:
<M+<L+<N+<O+<P=540
90+90+(17x+4)+(18x+6)+(10x-10)=540
45x+180=540
45x=540-180
45x=360
x=8
N=18*8+6
Which of the following could be the name of a point
2 answers:
Answer:
<h2>A. a</h2>Step-by-step explanation:
The options for this question are:
A. a
B. m
C.
D. AB.
So, among the options the first one can be the name of a point. Basically, because <em>m </em>means slope, is used to name vector, because it has the arrow on top. And AB is used to name segments, where A is the beginning and B if the ending.
Therefore, the right answer is A.
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Answer:
If we compare the p value and the significance level assumed we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis.
Step-by-step explanation:
Data given and notation
Data: 7.65, 7.60, 7.65, 7.7, 7.55, 7.55, 7.4, 7.4, 7.5, 7.5
We can begin calculating the sample mean given by:
And the sample deviation given by:
And we got:
represent the sample mean
represent the sample standard deviation
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 equal to 7.5 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-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:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a two sided test the p value would be:
Conclusion
If we compare the p value and the significance level assumed we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis.
Answer:
J'(-2,5)
K'(-7,5)
M'(-3.5,2)
L'(5.5,2)
Step-by-step explanation:
Please refer to the image attached to this answer.
Trapezoid JKLM is reflected over the x-axis, what do we notice about the ordered pairs of the original figure and the ordered pairs of its reflection over the x-axis is described below.
Point J , K L and M , when reflected over x axis , there distance from the y axis remains the same in second quadrant. the x coordinate becomes negative however the y coordinates remains the same.
The coordinates will be as shown in the image attached.
