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3 years ago

Cardinal number of set A=1,2,3,4,0,7 is 6

Mathematics

1 answer:

lara [203]3 years ago

3 0

Answer:

n(A) = 6

Step-by-step explanation:

Let consider a set A = {a, m, b, d, h}. There are five elements in the set. The no of elements in a set is known its cardinality. Since set A has five elements, its cardinality number is 5. The cardinality of the set A is denoted by n(A).

Hence, from the given information:

The set A = {1, 2, 3, 4, 0, 7} have a cardinality number of 6

n(A) = 6

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A product tester measures four different sizes of shampoo bottles to see if they are filled accurately. The table shows the resu

yarga [219]

By comparing the percent error in all sample, the sample with least percent error is sample 2

Step-by-step explanation:

Percent error is calculated using the formula:

$Percent\ Error = \frac{|Approx\ Value- Exact\ Value|}{Exact\ Value}*100$

The percent error in each sample needs to be calculated to find the bottle with least percent error

Percent Error for Sample 1:

Amount on bottle = 14 ounces

Actual amount in bottle = 13.7 ounces

Putting the values in the formula

$Percent\ Error = E_1 = \frac{|13.7-14|}{14}*100\\= \frac{|-0.3|}{14}*100\\= \frac{0.3}{14}*100\\=0.214*100\\=2.14\%$

Percent Error for Sample 2:

Amount on bottle = 24 ounces

Actual amount in bottle = 24.4 ounces

Putting the values in the formula

$Percent\ Error = E_2 = \frac{|24.4-24|}{24}*100\\= \frac{|0.4|}{24}*100\\= \frac{0.4}{24}*100\\=0.0166*100\\=1.66\%$

Percent Error for Sample 3:

Amount on bottle = 25 ounces

Actual amount in bottle = 25.8 ounces

Putting the values in the formula

$Percent\ Error = E_3 = \frac{|25.8-25|}{25}*100\\= \frac{|0.8|}{25}*100\\= \frac{0.8}{25}*100\\=0.032*100\\=3.2\%$

Percent Error for Sample 4:

Amount on bottle = 39 ounces

Actual amount in bottle = 40.2 ounces

Putting the values in the formula

$Percent\ Error = E_4 = \frac{|40.2-39|}{39}*100\\= \frac{|1.2|}{39}*100\\= \frac{1.2}{39}*100\\=0.307*100\\=3.07\%$

By comparing the percent error in all sample, the sample with least percent error is sample 2

Keywords: Samples, Percent errors

Learn more about samples and errors at:

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5 0

4 years ago

The length of one leg of a right triangle is 48 ft, and the length of the hypotenuse is 50ft What is the length of the other leg

zlopas [31]

Let the other leg be x

a² + b² = c²
48² + x² = 50²
x² = 50² - 48²
x² = 196
x = √196
x = 14

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Answer: The other leg is 14 ft (Answer A)
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8 0

3 years ago

Can someone just answer these lol idk what to say .

Crank

Answer:

1.) -11x 2.)-2x

4 0

4 years ago

Read 2 more answers

F f(x) = 6x – 4, what is f(x) when x = 8?

Oduvanchick [21]

Answer:

F(x) = 44

Step-by-step explanation:

f(x) = 6x - 4

x = 8

f(x) = 6(8) - 4

f(x) = 48 - 4

4 0

3 years ago

Read 2 more answers

A sidewalk measures 4 feet in width and 108feet in length. what is the area of the sidewalk

Sonja [21]

Answer:

432 ft²

Step-by-step explanation:

1. Area of a rectangle is A=lw

2. A = 4 x 108

3. A = 432

4. Answer: 432 ft²

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4 years ago