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3 years ago

Jamie is trying to work out the surface area of the cuboid below. Spot any mistakes and write the correct answer.

Mathematics

1 answer:

umka21 [38]3 years ago

7 0

Step-by-step explanation:

The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.

The formula for the surface area of the cuboid is as follows :

$A=2(lb+bh+hl)$

We have,

b = 9 cm, l = 7 cm and h = 5 cm

So,

$A=2(9\times 7+9\times 5+7\times 5)\\\\A=2\times 143\\\\A=286\ cm^2$

Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.

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Consider the two data sets below:

alina1380 [7]

Answer:

Option c) The data sets will have the same values of their interquartile range.

Explanation:

1. The values are in order: they are in increasing oder, from lowest to highest value.

2. Calculate the interquartile range.

Interquartile range, IQR, is the third quartile, Q3, less the first quartile Q1:

IQR = Q3 - Q1

To find the first and the third quartile, first find the median:

Data Set 1: 19, 25, 35, 38, 41, 49, 50, 52, 59

[19, 25, 35, 38], 41, [49, 50, 52, 59]

↑

median = 41

Data Set 2: 19, 25, 35, 38, 41, 49, 50, 52, 99

[19, 25, 35, 38] , 41, [49, 50, 52, 99]

↑

median = 41

Now find the median of each subset: the values below the median and the values above the median.

Data set 1: First quartile

[19, 25, 35, 38],

↑

Q1 = [25 + 35] / 2 = 30

Third quartile

[49, 50, 52, 59]

↑

Q3 = [50 + 52] / 2 = 51

IQR = Q3 - Q1 = 51 - 30 = 21

Data set 2: First quartile

[19, 25, 35, 38]

↑

Q1 = [25 + 35] / 2= 30

Third quartile

[49, 50, 52, 99]

↑

Q3 = [52 + 50]/2 = 51

IQR = 51 - 30 = 21

Thus, it is shown that the data sets have will have the same values for the interquartile range: IQR = 21. (option c)

This happens because replacing one extreme value (in this case the maximum value) by other extreme value does not affect the median.

An outlier will change the range because the range is the maximum value less the minimum value.

5 0

2 years ago

A dolphin is swimming 4 feet below the surface of the water. the number -4 represents the dolphins position relative to the surf

IRISSAK [1]

Answer: option B. 4 feet above water.

Explanation:

This is an example of the use of the integer numbers.

Integer numbers are positive, zero and negative numbers.

In this case, zero is used to represent the surface of the water. So, any positive number will be the position above water and any netative number will be the position below water. That is why, while - 4 represents the position of the dolphin below water, 4 represents the position 4 feet above water.

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3 years ago

A number a is to the left of the number b on the number line how do the numbers -a and -b compare?

Leokris [45]

Answer:

-a will be greater than -b because for example, when a=2 and b=5, -a=-2 and -b=-5

8 0

2 years ago

45 percent of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these cust

const2013 [10]

The solution is in the attachment