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olchik [2.2K]
3 years ago
6

PLEASE HELP ASAP!!! 75 POINTS AND BRAINLIEST!!!

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0
The average rate of each is 12 because if you calculate the slope of the points it equals 12.

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PLEASE ANSWER NOW!!! I'M TIMED ON EDGE!!!
Afina-wow [57]

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.

4 0
2 years ago
Read 2 more answers
1. Refer to the equation 2x - 4y = 12
Masja [62]

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;
  • \begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right]

  • 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

\dfrac{4\cdot y}{4}  = \dfrac{2 \cdot x - 12}{4}

The rearranged equation is therefore

  • y  = \dfrac{x }{2}  - 3

Plugging in values of <em>x</em>, (0, 1, 2, 3) to find the corresponding y-values gives;

x = 0

  • y  = \dfrac{0 }{2}  - 3 = -3

  • x = 1
  • y  = \dfrac{1 }{2}  - 3 = -2 \dfrac{1 }{2}

  • x = 2
  • y  = \dfrac{2 }{2}  - 3 = -2

x = 3

  • y  = \dfrac{3}{2}  - 3 = -\dfrac{3}{2}  = -1.5

x = 4

  • y  = \dfrac{4}{2}  - 3 = -1

<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]

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

5 0
3 years ago
If 2000 dollars is invested in a bank account at an interest rate of 6 percent per year, find the amount in the bank after 7 yea
AfilCa [17]

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

A= P(1+r)^t

substituting we have

A= 2000(1+0.06)^7\\\\A= 2000(1.06)^7\\\\A=2000*1.50363\\\\A=3007.26

6 0
3 years ago
When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (4 points) There will be no change to the gr
Dima020 [189]

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.

4 0
2 years ago
Calculate AD and hence BD.
Vilka [71]

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

\frac{AD}{AB} = \frac{DE}{BC} ( substitute values )

\frac{AD}{12} = \frac{10}{8} ( 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

7 0
2 years ago
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