MATHEMATICS HIGH SCHOOL

1. Which of the following is equivalent to x5y2/xy2 when x ≠ 0 and y ≠ 0? A. x6y5
B. x5y
C. x4y
D. x4

Answers

Answer 1
Answer: x5y2/xy2=x5   .y2/x  . y2, simplifying by y², it becomes x5/x, simplify by x, we found x5/x= x4
the answer is 
D. x4

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If the circle in the diagram revolves about the vertical dashed line, which type of geometrical shape will it generate?

Answers

Answer: A solid ring


Step-by-step explanation:

From the given diagram, if the circle revolves about the vertical dashed line.

We can see that there is some distance between the circle and the vertical line, which is represented by horizontal dashed line.

So, when it revolves about the vertical dashed line, it will form a torus (donut shape).

A torus is nothing but the solid ring .

  • A torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis with the circle such that the axis of revolution does not touch the circle.
Hello,

If a solid ring is a TOR (tore in french , a room air   )

then answer D

A sociologists was investigating the ages of grandparents of high school students. From a random sample of 10high school students, the sociologist collected data on the current ages, in years, of the students' maternal grandparents. A. One of the sociologist's research questions was about the mean difference in age without regard to which grandparent is older. The interval constructed in part (a) does not address such a question. Based on the sample of high school students, give the value of the point estimate for the mean difference in age that could be used to address the sociologist's question.

Answers

Answer:

The answer for (a)(-5.96, 2.36)(b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older

Step-by-step explanation:

Solution

(a) From the information given,

n = 10, d =-1.8, sd = 5.81

The 95% confidence interval  for the population  mean difference age is computed as follows:

CI =d ±tα/2,n-1 (sd/√n)

= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)

=-1.8± 2.26 (1.84)

= -1.8 ± 4.16

= (-5.96, 2.36)

Now,

There is a 95% confidence  that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36

(b) The age difference is calculated  as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:

Xd = XGM - XGF

= 69.8 -71.6

=-1.8

Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older

Note: kindly find an attached copy of the complete question and table to this example below.

Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has......
Anish has......
Nick has......

Answers

Scott = Anish ÷ 3 or 1/3 Anish
Anish = Nick ÷ 2 or 1/2 Nick
S + A + N = 140
1/6 N + 3/6 N + 6/6 N = 10/6 N (140)
10/6 N = (140)
140 ÷ 10 = 1/6 N (14) = Scott
9/6 N (126) - 3/6 (42 = Anish) = N = 84
S = 14
A = 42
N = 84

CHECK?

14 = 1/3 of 42
42 = 1/2 of 84
14 + 42 + 84 = 140 :)
let x = # of computer games nick has
then
Anish has    1/2x games
and
Scot has  1/2*1/3   = 1/6x  games
 thus
1/6x + 1/2x + x  =  140
1/6x + 3/6x + x  = 140
10/6x = 140
10x =140* 6
   x       =      84  >        Nick
  1/2x    =    42  >    Anish
   1/6x    =   14    >    Scot

What is the range of 22,44,66,88

Answers

the range is 66 u subtract 88 to 22

Which of the functions below have period 2pi? Check all that apply. A. y = tan x B. y = sec x C. y = cot x D. y = csc x

Answers

Answer:

Option B and D are correct that is y=secx and  y=cscx  respectively.

Step-by-step explanation:

We have been given four functions:

CaseA:

y=tanx

\text{Period oftanx is} \pi

Hence, A is correct.

CaseB:

y=secx

\text{Period of secx is} 2\pi

Hence, B is correct.

CaseC:

y=cotx

\text{Period of cotx is} \pi

Hence, C is not correct.

CaseD:

y=cscx

\text{Period of cscx is} 2\pi

Hence, D is correct.

What is a Pareto chart ?

Answers

Answer: A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line.

Step-by-step explanation:

This is an example of a Pareto chart because it includes bars and a line.
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