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Vikki [24]
3 years ago
12

The Harlowe school district gives awards to its schools based on overall student attendance. The data for attendance are shown i

n the table, where Low represents the fewest days attended and High represents the most days attended for a single student.
School Low High Range Mean Median IQR σ
High School A 98 180 82 158 148 55.5 35.2
High School B 105 180 75 145 124 48.5 28.2
High School C 102 180 78 169 151 53.5 31.3

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.
Mathematics
1 answer:
aleksklad [387]3 years ago
8 0
Part A: Students from high school B is the most consistent, because their standard deviation (σ=28.2) is the smaller than that of A and C. Smaller standard deviation means less variations among the values, or more consistence.

Part B: High school A has the highest average attendance, because it has higher mean (82) than B and C. Mean is mathematically the same as average, total number of days attended by all students divided by the number of students.
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Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin
alekssr [168]

Answer:

<em>The two figures are similar as  the ratio of corresponding distances and slope of corresponding lines are EQUAL.</em>

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = \sqrt{(x-x1)^{2} + (y-y1)^{2} }

we find that,

CD=\sqrt{20} and JK=\sqrt{5}

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

7 0
3 years ago
30 dimes to 55 dimes
puteri [66]
55-30=25
So it is + 25 dimes
5 0
3 years ago
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(2+ 3)(8-13) write answer in simplest radical form.<br>​
denis-greek [22]

Looks like a good question, using the mathematical term of "radical."

7 0
3 years ago
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The ratio of girls to boys in a lunchroom is 3 to 4. There are 48 boys. How many girls are there?
BabaBlast [244]

Answer:

there are 36 girls

Step-by-step explanation:

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3 0
3 years ago
Laura collects nickels and dimes she has a total of 47 nickels and dimes she calculated the value of the coins and found out she
Gre4nikov [31]

Answer:

Number of dimes = 34

Number of nickels = 13

Step-by-step explanation:

Total number of coins = 47

Coins are in the form of nickels and dimes.

Value of a nickel = 5 cents

Value of a dime = 10 cents

Total value of coins = $4.05 or 405 cents

To find:

Number of nickels and dimes?

Solution:

Let number of nickels = x

Money value of nickels = 5x

Let number of dimes = y

Money value of dimes = 10y

Total value of coins = 5x+10y

This value is given as equal as 405.

As per question statement, the equations can be written as:

5x+10y = 405 ..... (1)\\x+ y = 47 ...... (2)

Multiplying equation (2) with 5 and subtracting from equation (1):

10y - 5y = 405 - 235  \\\Rightarrow 5y = 170\\\Rightarrow y = 34

Number of dimes = 34

Number of nickels  = 47 - 34 = 13

6 0
2 years ago
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