Answer: x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4−7x=31
−4+−7x=31
−7x−4=31
Step 2: Add 4 to both sides.
−7x−4+4=31+4
−7x=35
Step 3: Divide both sides by -7.
−7x
−7
=
35
−7
x=−5
It can't be for sure a perpendicular bisector cuz you don't know what kind of triangle you are dealing with so that one's out. It's not necessarily an angle bisector either for the same reason. A median means that PS will go through the opposite side right in the center, and again, depending upon what type of triangle you have, this could be true...So it is an altitude, which is like a height of a triangle. It drops down from a vertex and forms a right angle with wherever it goes through. So D.
Answer:
The first, second to last and last stements are true
Step-by-step explanation:
You times 8 by the percentage as
e.g 8 x 1.50 = 12 is the same as marked up by 50%
e.g 8 x 1.70 =13.6 is the same as marked up by 70%
Answer:
For this case assuming that the random variable is X
And replacing n = 24 we got:
And we notate the distribution we got: 
Step-by-step explanation:
Previous concepts
The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."
Solution to the problem
For this case assuming that the random variable is X
And replacing n = 24 we got:
And we notate the distribution we got:
Answer 1 with Explanation
Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.
Answer 2 with Explanation
As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.
