Answer:
Between 19 and 55, inclusive
Step-by-step explanation:
70 < Average < 79 (inclusive)
4×70 < sum < 4×79 (inclusive)
280 < sum < 316
280 < 92 + 84 + 85 + X < 316
280 < 261 + X < 316
19 < x < 55
Fourth score can be between 19 and 55, inclusive
Answer:
There are 10 integers between the given values
Step-by-step explanation:
We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

then this point is located in between the integers 6 and 7 on the x-axis.

therefore, it is located between the integers 16 and 17 on the number line.
Then between
, and
, we have the following integers:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
That is 10 integers
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Based on the information given, the correct options will be:
a.) Mary would use the sample standard deviation to calculate a t-statistic.
c.) The value for the degrees of freedom for Mary's sample population is six.
One-sample t-test simply means a statistical hypothesis test that's used for the determination of whether an unknown population mean will be different from the specific value.
In this case, the value of the degree of freedom for the sample will be:
= (n - 1) = 7 - 1 = 6.
Also, it should be noted that Mary would use the sample standard deviation to calculate a t-statistic.
Learn more about statistics on:
brainly.com/question/15525560
The external angle of a polygon can be found with the following formula:

n is the amount of sides to the polygon.
There are 9 sides to this polygon. Plug this value into the equation:

The exterior angle of a polygon is 140.
There is an equilateral triangle that affects segment JKL. The exterior angle and the angle of two of the sides of the equilateral triangle are added in this case.
An equilateral triangle always has angles of 60-60-60. Therefore, you can find the angle of JKL with the following equation:

The maximum angle of a line is 180. The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles.
The angle of line JKL is
160 degrees.