MATHEMATICS HIGH SCHOOL

a random sample of 130 students is chosen from a population of 4,500 students. if the mean iq in the sample is 120 with a standard deviation of 5, what is the 99% confidence interval for the students' mean iq score? answers given below: 118.87−121.13 107.12−132.88 125−135 115−125

Answers

Answer 1
Answer:

Answer with explanation:

Total Sample Size = 4,500 Students

Sample Chosen(n) = 130 students

Mean IQ of the Sample,\bar{X} = 120

Standard Deviation, \sigma=5

To Calculate 99% confidence interval for the students' mean IQ score, we will calculate,

Z_(99 percent)=2.58

Formula for Confidence Interval

=\bar{X} \pm Z_(99 percent)* (\sigma)/(√(n))\n\n=120 \pm 2.58 * (5)/(√(130))\n\n=120 \pm (12.9)/(11.401)\n\n =120 \pm 1.1314\n\n=120 \pm 1.13

The Value of Confidence interval will lie between

⇒  120 - 1.13 to 120 +1.13

⇒118.87 to 121.13

Option A:  118.87−121.13
Answer 2
Answer: C.I.=120 \pm z_( \alpha /2) ( \sigma )/( √(n) ) \n =120 \pm 2.58 * (5)/( √(130) ) \n =120 \pm 1.13 \n =118.87 - 121.13

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The graph of a system of parallel lines will have no solutions.Always

Sometimes

Never

Answers

The graph of a system of parallel lines will always have no solutions. The correct answer is A, always. 

Answer:

Option A. always

Step-by-step explanation:

If we have two lines having same slopes or parallel to each other then points lying on each line will be different.

In other words parallel lines never intersect each other so they have no point of intersection or common points.

That's why system of parallel lines have no solutions.

Therefore option A. always is the correct option.

Solve the system x+y=54
x-5y=0
A. (-45, -9)
B.(45, 9)
C. (9, 45)
D. (45, 9)

Answers

   
\displaystyle \n \begin{cases} x+y = 54 \n x-5y = 0~~~~~| \cdot (-1) \end{cases} \n \n \n \begin{cases} x+y = 54 \n -x+5y = 0 \end{cases} \n \texttt{-------------- gather equations} \n .~~/~~~~~6y = 54 \n \n y = (54)/(6) = \boxed{9} \n \n x = 54 - y = 54 - 9 = \boxed{45} \n \n \texttt{Problem solution: } \boxed{x = 45 ~~ and ~~ y = 9 }

Explain the answer for -10=m+-15

Answers

Add 15 to each side to combine the like terms (-10 and -15)
5=m
Rewrite
m=5

can someone help me with this and maybe help answer my other questions bc literally nun of my questions being answered

Answers

Answer:

x-5+10 = 2x-7

the 2 lengths are equal

x+5 = 2x-7

x-2x=-7-5

-x=-12

x= 12

In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.

Answers

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

Answer:

The answer is A on edg 2020

Step-by-step explanation:

What is .428571429 as a fraction?

Answers

The would be close to 4/10!
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