Answer: C) He should also take a sample from each of the other history classes in all of the other grades in the middle school.
Step-by-step explanation:
In order for his sample to be representative of all middle school students Leo: C) Should also take a sample from each of the other history classes in all of the other grades in the middle school.
<h2>
What is sample?</h2>
Sample can be defined as the data that is randomly collected by a researcher so as to reach or draw a conclusion.
Since only one grade is being surveyed which is Mr. Barnes’s eighth-grade history classes, he should as well carryout the survey on Ms. Lopez and Mrs. Frank history class.
Inconclusion he should also take a sample from each of the other history classes in all of the other grades in the middle school.
Not only students in the 8th grade are in the middle school, there are other students in other grades who are in the middle school and are enrolled in history classes. Leo's sample is only from one grade of the middle school. In fact, including Ms. Lopez's and Mrs. Frank's classes in the selection of sample is not sufficient. Leo has to take a sample from the remaining grades to avoid making a wrong conclusion as a result of bias in the choice of data.
The coordinate pair can be obtained from the given equation by
rearranging the equation to make <em>y</em> the subject of the equation
- The table of values obtained from the given equation is presented as follows;
- The graph showing the points in the above table is attached
Reason:
The given equation is presented as follows;
2·x - 4·y = 12
(a) The values are found by making either <em>x</em>, or <em>y</em> the subject of the
formula, and inputting values as follows;
2·x - 4·y = 12
= 4·y
4·y = 2·x - 12

The rearranged equation is therefore
Plugging in values of <em>x</em>, (0, 1, 2, 3) to find the corresponding y-values gives;
x = 0
x = 3
x = 4
<u>The table of values</u> is therefore;
![\begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Ccr%7C%7D%20%5Cmathbf%7Bx%7D%26%26%5Cmathbf%7By%7D%5C%5C0%26%26-3%5C%5C1%26%26-2.5%5C%5C2%26%26-2%5C%5C3%26%26-1.5%5C%5C4%26%26-1%5Cend%7Barray%7D%5Cright%5D)
The <u>graph of the points</u> can be <u>plotted</u> using MS Excel as presented here
Learn more here:
brainly.com/question/7221077
Answer:
$3007.26
Step-by-step explanation:
Step one:
given data
Principal= $2000
rate= 6%= 0.06
time= 7years
Required:
The final amount A
Step two:
the expression for the compound interest is

substituting we have

Answer:
the y-intercept is 22 spaces higher.
Step-by-step explanation:
I don't know, what special operations you want to express with 3(5)x.
as it is written this simply means
3×5×x
no exponents or other special things are visible.
but it should not matter.
whatever is the first function is unchanged the first part of the second function.
so, the only difference is the "+ 22" part.
and that simply means that all y values (the functional result values) are increased by 22.
you know that "f(x) =" has the same meaning as "y =".
and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.
Answer:
AD = 15 cm , BD = 3 cm
Step-by-step explanation:
Δ ABC is similar to Δ ADE ( by the AA postulate )
then the ratios of corresponding sides are in proportion, that is
=
( substitute values )
=
( cross- multiply )
8 × AD = 12 × 10 = 120 ( divide both sides by 8 )
AD = 15 cm
AB + BD = AD , that is
12 + BD = 15 ( subtract 12 from both sides )
BD = 3 cm