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sergeinik [125]
3 years ago
9

A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each s

tudent is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then:
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Complete question :

A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then select all that apply:

Sample IQR will change

Range, IQR, and standard deviation will remain the same

Sample range will change.

Sample standard deviation will change

Answer:

Sample range will change

Sample Standard deviation will change

Step-by-step explanation:

Given the sorted sample : 0,0,3, 4,5,8,10, 18

n = number of observations

Sample range : ( 18 - 0) = 10

Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term

Q3 = 27/4 = 6.75th term

(8 + 10) / 2 = 18/ 2 = 9

Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term

2.25th term = 0+3 = 3/2 = 1.5

Interquartile range = 9 - 1.5 = 7.5

Standard deviation = 5.976 (using calculator)

If 18 is replaced by 20:

0,0,3, 4,5,8,10, 20

Range = (20 - 0). = 20

Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term

Q3 = 27/4 = 6.75th term

(8 + 10) / 2 = 18/ 2 = 9

Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term

2.25th term = 0+3 = 3/2 = 1.5

Interquartile range = 9 - 1.5 = 7.5

Standard deviation = 6.563 (using calculator)

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kap26 [50]
Here is a quadratic equation x^2 + 5x = 14
x^2 + 5x - 14 = 0 - Subtract 14 from both sides
(x + 7)(x - 2) = 0 - Factor
x + 7 = 0      x - 2 = 0  - Set each factor equal to 0
x = -7           x = 2  - solve each piece

If the constant is easy to find factors of then use the factoring method
If the constant is difficult and you have a graphing calculator, then graph
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7 0
3 years ago
If 115% of a number is 460, what is 75% of that number?
Bond [772]

Answer:

300

Step-by-step explanation:

Step 1:

460/115 = x/75         Equation

Step 2:

115x = 34,500       Multiply

Step 3:

x = 34,500 ÷ 115         Divide

Answer:

x = 300

Hope This Helps :)

8 0
3 years ago
En la casa de Juan, van a pedir pizza para la comida, pero cuando la van a pedir se dan cuenta que deben pedirla por perímetro o
Degger [83]

Responder:

La pizza con un perímetro de 100 cm es más grande ¿verdad?

Explicación paso a paso:

Deja que la pizza tenga forma circular.

Sea el área de la pizza = πd² / 4 y;

Perímetro de la pizza = πd

d es el diámetro de la pizza

Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.

P = 100cm

100 = πd

d = 100 / π

d = 100 / 3,14

d = 31,85 cm

El diámetro de la pizza mamá es de 31,85 cm.

Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.

A = πd² / 4

100 = πd² / 4

400 = πd²

d² = 400 / π

d² = 400 / 3,14

d² = 127,39

d = √127,39

d = 11,29 cm

Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.

Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.

6 0
3 years ago
Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9
stepladder [879]

Answer:

1. 0.33  2. 0.16  3. o.11

Step-by-step explanation:

5 0
3 years ago
3times what to get -2
Arisa [49]

Answer: -0.6 recurring

Step-by-step explanation:

-2/3 = -0.6 recurring

3 0
3 years ago
Read 2 more answers
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