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Contact [7]
3 years ago
8

Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da

y (rounded to the nearest hour): Number of hours in school per day 4 5 6 7 8 Sample A: Number of students 70 100 125 135 70 Sample B: Number of students 80 90 120 125 85 Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct Meg or Tara? Explain your answer in two or three sentences.
Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer: <em>Tara thinks correctly.</em>

Step-by-step explanation:

<em>Let's calculate the average value in sample A:</em>

<em>(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ </em><em>6 hours</em>

<em>Let's calculate the average value in sample B:</em>

<em>(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ </em><em>6 hours</em>

<em>So, Tara is correct in saying that the mean is 6.</em>

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Solve the 3x3 system shown below. Enter the values of x, y, and z.
slamgirl [31]

Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

<u>-x +y  -z = - 4 </u>

0   3y  -2z = -7    (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

<u> -2x +y -z = -5</u>

  0 -y + z= 3     (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y  + z = 3]

<u>    3y  -2z= -7</u>

  y  + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

7 0
3 years ago
Helppppppp
Yakvenalex [24]

Answer:

7 -if rounded to the nearest tenth would be 10

Step-by-step explanation:

The median is the number in the middle so

6-6-7-7-10-12-14

There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)

6 0
3 years ago
To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6
Bond [772]

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

7 0
3 years ago
 Hansen has $65,575 in a savings account. The interest rate is 9% per year and is not
Montano1993 [528]

Answer:

23.607

Step-by-step explanation:

<em> Given:</em>

$65,575

9%

4 Year

4 x 9% = 0.36

65,575 x 0.36 = 23.607

<u><em>Not sure if it correct or not try my best </em></u>

5 0
2 years ago
What is (0.3)⋅(0.5)?
Harman [31]

Answer:

0.15

Step-by-step explanation:

6 0
2 years ago
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