MATHEMATICS HIGH SCHOOL

Simplify the equation

( -3x )^0 / 2

if possible please explain

Answers

Answer 1
Answer:

Hi


(-3x)^0/2

Simplify

= 1/2


I hope that's help !

Answer 2
Answer: Basically, remember that anything to the power of zero will equal one, so 1/2 is one half

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A professor determined the relationship between the time spent studying (in hours) and performance on an exam. Performance = 70.443 + 4.885 * (time) Ann studied 2.6 hours for the last exam. However there was a concert in town the night before and her score was 16 points lower than expected. What was her score on this exam, rounded to the nearest integer?

Answers

First we need to calculate Ann's predicted score.

Predicted Score = 70.443 + (4.885)(2.6)

Ann's predicted score was 83.114

Since her actual score was 16 points lower than this, we just subtract.

Real Score = 83.114 - 16

Ann's real score was 67.114

When rounded to the nearest interger Ann's score is 67

Find the value of each variable, pls help, ty

Answers

Hope this helps


X = 8
Y = 7

Y = –x + 4
x + 2y = –8
How many solutions does this linear system have?

Answers

y = - x + 4
x + 2 ( -x + 4 )=-8
x- 2 x + 8 = -8
- x = - 8 - 8 
- x = - 16
x = 16
y = - 16 + 4
y = - 12
The system has one solution ( x, y ) = ( 16, - 12 ).

Answer:

Step-by-step explanation:

Y = –x + 4

x + 2y = –8

How many solutions does this linear system have

one solution: (8, 0)

one solution: (0, 8)

no solution

infinite number of solutions

Pleaseeee help me I really need it Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equation.

(x+4)(x−9)=0           completing the square
                                square root property
4x² = 20
 zero product property

Answers

Answer:

i) Zero product property

ii) Square root property

Step-by-step explanation:

(x + 4)(x -9) = 0

Here we are equating each factor equal to zero and find the solutions.

Therefore it is Zero product property.

4x^2 = 20

To find the value of x, we take the square root on both sides.

So it is square root property.

Hope this will helpful.

Thank you.

Answer:

The person above be is correct

Step-by-step explanation:

Find the common difference of the arithmetic sequence 5, 14, 23,...5,14,23,...

Answers

Answer: 9

Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.

Let's work backwards.

First, we take the last term we are given and

subtract the second to last term.

So here, we subtract 23 - 14 to get 9.

Now, we take 14 - 5 to get 9.

Notice that 9 is our answer in both problems above.

That means it's our common difference.

PLEASE HELP !The graph shows the ages of different concertgoers who have backstage passes.

Which statement is true about the graph?

A) A late arrival who is 21 years old with a back-stage pass will make the mean greater than the median.
B) The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.
C) The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.
D) A concert-goer who is 18 years old and wins a back-stage pass will pull the mean more than 2 years less than the median.

Answers

In the given graph, we calculate the mean by dividing the product of the midpoint of each age interval and the frequency by the total frequency. Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1) = 856.5 / 37 = 23.15 The median is given by the middle age interval (i.e. the age interval which falls in the (37 + 1) / 2 = 38 / 2 = 19th position) which is the 21 - 24 age inteval. To get the value of the median we use the formular Median = L1 + C[n/2 - summation (Fl)] / Fm where: L1 is the lower class boundary of the median class, C is the class size, n is the total frequency, summation (Fl) is the summation of all frequencies below the mediam class and Fm is the median class frequency. Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6 = 21 + 4[18.5 - 17] / 6 = 21 + 4(1.5) / 6 = 21 + 6 / 6 = 21 + 1 = 22. Thus the mean of 23.15 is greater than the median of 22. Calculating the mean without the two numbers above 40 gives Mean = (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9 Therefore, the statement that is true about the graph is "The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age." (option B)

The two holders of back-stage passes whose ages are above 40 making the mean age higher than the median age is correct about the graph.

What is a Graph?

This can be defined as pictorial representation of data or values in an organized manner.

From the graph we can calculate mean.

Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1)

= 856.5 / 37

= 23.15

Median = (37 + 1) / 2 = 38 / 2 = 19th position between 21 - 24 age interval. Median = L1 + C[n/2 - summation (Fl)] / Fm

where L1 = lower class boundary of the median class, C = class size, n = total frequency, summation (Fl) = summation of all frequencies below median class, Fm= median class frequency.

Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6

= 21 + 4[18.5 - 17] / 6

= 21 + 4(1.5) / 6

= 21 + 6 / 6 = 21 + 1 = 22.

Mean of 23.15 is greater than the median of 22.

Mean without two numbers above 40

= (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9.

Therefore the  two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age which makes option B the most appropriate choice

Read more about Graph here brainly.com/question/25184007
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