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Andrews [41]
3 years ago
13

Find the cardinal number for the given set.

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

The cardinal number is 12

Step-by-step explanation:

The cardinal number of a set represents the number of distinct elements of the set. That means for this exercise the goal is to identify the total number of elements of the set.

First step. Identifying the elements of the set.

If we look at the sequence 9, 11, 13, ... , 31, we have an arithmetic sequence a_n, so we can start by finding the common difference d.

d = a_{n+1}-a_n

That means we can pick any 2 consecutive terms and find the subtraction of them, so we can pick for example 9 and 11, thus we get

d= 11-9\\d=2

Second step. Finding the number of terms of the arithmetic sequence.

Now to find the number of elements n of that sequence, we can look at the last number of the sequence on this case it is 31, and we can use the formula for the nth term, that is

a_n=a_1 + d(n-1)

Replacing the last term a_n = 31 and the initial term a_1=9, will give us

31=9+2(n-1)

From there we can solve for n, by moving first that 9 to the other side.

31-9=2(n-1)\\22=2(n-1)

Then we can divide both sides by 2, and lastly add by 1.

\cfrac{22}{2} = n-1  \\11 = n-1\\\boxed{n= 12}

Thus since the sequence has 12 elements, we know that the cardinal number of the set is 12.

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1 kg=1000g*1000mg/1g=1000000mg =10⁶ mg
or you can use proportion

1000g - x mg
1 g     -1000mg
x=1000*1000=1000000mg 

1kg=10⁶ mg
6 0
3 years ago
Read 2 more answers
You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling :______
Vikentia [17]

Answer:

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6  

Odd = 1 ,3 , 5

Probability of getting even =\frac{3}{6}=\frac{1}{2}

Probability of getting odd = \frac{3}{6}=\frac{1}{2}

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)=^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1

P(3 even and 1 odd numbers)=\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)=^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2

P(3 even and 1 odd numbers)=\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2=0.375

6 0
3 years ago
Helpppppppnmeeeeeeee plsss I will give you brainliest
Anon25 [30]

5: 6/5

6: -3

7: 2/5

8: 4/2 or 2

6 0
2 years ago
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Please help me. .....
wlad13 [49]

Answer:

24 pounds

Step-by-step explanation:

Step 1: Find out how many pens he bought

12 pens per pack

Charles bought 60 packs

60 packs x 12 pens = 720 pens

Step 2: Find out how much Charles spent

2.80 per pack

Charles bought 60 packs

60 x 2.80 = 168 pounds

Step 3: Find out how many pens Charles sold

Charles sold 2/3 of his pens

2/3 x 720 = 480

Step 4: Find out how manypens he sold

Charles sold the pens for 40p

40p x 480 = 19200p

Step 5: Convert pences to pounds

19200p = 192 pounds

Step 6: Find the profit

192 - 168 = 24 pounds

Step 7: Therefore statement

Therefore he mad 24 pounds of profit

6 0
3 years ago
6. Which process was used to obtain the equation shown in Step 2?
frozen [14]

Answer:

A) added to both sides of the equation

Step-by-step explanation:

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3 years ago
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