The model below can be used to find the quotient of one over two divided by one over six. What is the quotient?

teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po

mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible top score is 21

The maximum possible top score is 32

The minimum of the possible standard deviation is approximately 1.26

The maximum of the possible standard deviation is approximately 11.7

The reason the above values are correct are as follows:

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is 21

The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is 32

The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ 1.26

The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ 11.7

Learn more about mean and median here:

brainly.com/question/17012793

8 0

2 years ago

HELP!! 15 POINTS

Sladkaya [172]

1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)

Yes y=1.375x

2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36)
No y does not very directly with x*** 

3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
58/1 your car travels 58 miles in 1 hour

4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)

-1/3

4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)

-3

5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)

-26/27

6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3

Y-2=3(X-5)

7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5

Y+5=-2/5(X+3)

8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54

Y+7=-0.54(x-4)

9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)

Y-16=8(X-2)***

10. Write y=-2/3x+7 in standard form

2x+3y=21

11. Write y=-1/2x+1 in standard form using integers

X+2y=2

3 0

2 years ago

Read 2 more answers

Write an expression equivalent to e+e+e+e+e that is a sum of two terms.

slamgirl [31]

Answer:

5e

5(e)

Step-by-step explanation:

please mark this answer as brainliest

5 0

3 years ago

COPY THE TABLE BELOW IN YOUR NOTEBOOK. THEN ROUND EACH ITEM TO THE NEAREST HUNDREDTHS AND THOUSANDS

kobusy [5.1K]

What’s the items number. ? When rounding everything in front of the decimal find the place value it wants you to round then if it’s 5 or below round the the lowest whole number. If it’s behind a decimal you would do the same thing. It’s the number is higher than 5 round it up.

8 0

3 years ago

Can someone please help me with this asap ... Please and thank you

OLga [1]

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

∠MNR ≅ ∠PNR

m∠MNR + m∠PNR = 180°

2(m∠MNR) = 180°

m∠MNR = 90°

Therefore, ∠MNR and ∠PNR are the right angles.

Since, QN divides ∠MNR in two parts,

Therefore, ∠QNR will be an acute angle (less than 90°).

∠MNR + ∠SNR = ∠MNS

90° + ∠SNR = ∠MNS

Therefore, m∠MNS will be more than 90°.

∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

∠MNR ≅ ∠PNR

∠QNR ≅ ∠SNR

∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

Since, NR bisects ∠QNS,

∠QNR ≅ ∠RNS

m∠QNR = m∠RNS = 30°

m∠QNR + m∠RNS = 30° + 30°

m∠QNR + m∠RNS = 60°

m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

m∠QNP = m∠QNS + m∠SNP

m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

m∠QNP = 60° + (90° - 30°) = 120°

4 0

3 years ago