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4 years ago

Find the width of a cereal box that has a volume of 3600 cm3 and is 20 cm long and 30 cm high

1 answer:

4 0

The volume of a rectangular prism can be found by the formula lwh. I plug in the numbers I know and set up an equation.

20*x*30=3600
600*x=3600
x=6

The width is 6 cm

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Consider these four data sets. Set A: {32, 12, 24, 46, 18, 22, 14} Set B: {4, 12, 11, 14, 11, 5, 12, 13, 18, 14} Set C: {5, 4, 9

drek231 [11]

SET A

The elements of this set are,

$32,12,24,46,18,22,24$

We arrange this data set in ascending order to get,

$12,18,22,24,24,32,46$

The median for this data set is

$median = 24$

The mean for this data set can be calculated using the formula,

$\bar X = \frac{ \sum x}{n}$

This implies that,

$\bar X = \frac{ 12 + 18 + 22 + 24 + 24 + 32 + 46}{7}$

$\bar X = \frac{154}{7} = 22$
This data set is negatively skewed because the mean is less than the median.

SET B

This set contains the elements,

$4, 12, 11, 14, 11, 5, 12, 13, 18, 14$

We arrange the elements of this set in ascending order to obtain,

$4,5,11,11,12,12,13,14,14,18$

The median for this data set is,

$median = \frac{12 + 12}{2} = 12$

The mean is

$\bar X = \frac{4 + 5 + 11 + 11 + 12 + 12 + 13 + 14 + 14 + 18}{10}$

.
$\bar X = \frac{114}{10} = 11.4$

This data set is negatively skewed because the mean I'd less than the median.

SET C

The set C has elements,
$5, 4, 9, 12, 14, 26, 22, 18$

We arrange this set in ascending order to get,

$4,5,9,12,14,18,22,26$

The median of this data set is

$median = \frac{12 + 14}{2} = 13$

The mean of this data set is
$\bar X = \frac{4 + 5 + 9 + 12 + 14 + 18 + 22 + 26}{8}$

$\bar X = \frac{110}{8} = 13.75$

This is a positively skewed distribution because the mean is greater than the median

SET D

The elements of this set are

$1, 1, 1, 2, 2, 3, 3, 4, 5, 6$

The median of this data set is

$median = \frac{2 + 3}{2} = 2.5$

The mean is
$\bar X= \frac{1 + 1 + 1 + 2 + 2 + 3 + 3 + 4+ 5 + 6}{10}$

$\bar X= \frac{28}{10} = 2.8$

This data set is positively skewed because the mean is greater than the median.

4 0

3 years ago

Read 2 more answers

Kiran's father is 65 years old. He is 8 years older than three

natka813 [3]

Answer:

let kiran's age be x

kiran's father's age is 65

acc.to ques

kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows

8+3x =65

therefore

3x =65-8

3x =57

x =57/3

x= 19 ans

so kiran's age is 19 years.

4 0

3 years ago

Read 2 more answers

20) PLS HELP WITH QUESTION ASAP

Dafna11 [192]

Answer:

C. a n =3000(1.05)n-1

Step-by-step explanation:

Arithmetic sequence formula, it is 1.05 because it increases by 1/20th each time. It is n-1 because n-1 is the correct form of arithmetic sequence formulas, without the n-1 it wouldn't work.

6 0

4 years ago

Hey can you please help me posted picture of question :)

jek_recluse [69]

The sum of a and b will be the coefficient of the x term of the trinomial. This can be seen below.

(x + a)(x + b)
= x² + bx + ax + ab
= x² + (a+b)x + ab

x is being multiplied by both a and b individually and the products are being added, so sum of a and b appears as the coefficient of x term.

Thus the answer to this question is option C

5 0

4 years ago

you have been asked to build a scale model of your school out of toothpicks . Imagine your school is 30ft tall . your scale is 1

zmey [24]

1.26cm/1ft * 30ft = 37.8cm
37.8cm/6.3cm=6
Your model would be six toothpicks tall.

7 0

3 years ago