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Lelechka [254]
2 years ago
8

Hello!

Mathematics
1 answer:
umka21 [38]2 years ago
6 0

Answer:

Therefore, an integer that's divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18. It's not necessarily divisible by 12 or 36, each of which includes two 2s in its prime factorization

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:
blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}

  =\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182

Compute the standard deviation as follows:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

      =\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0
3 years ago
To observe a session of the state senate, 18 students are visiting the state capitol. They will tour the capital in groups with
inysia [295]

Answer:9

Step-by-step explanation:

6 0
3 years ago
In the integer card game, you drew the cards,2,8,and -11. Your partner gave you a 7 from his hand. A. What is your total? B. Wha
Flauer [41]

a) At this point, your total is 6.

b) You need to draw a card with the number -6.

<h3>What is your total?</h3>

In the integer card game, your total is equal to the sum of the values in your cards.

So, you have 2, 8, and -11, and then your partner gave you a 7 from his hand, then your total will be:

T = 2 + 8 + (-11) + 7 = 17 - 11 = 6

At this point, your total is 6.

<h3>b) What cards would you need to get your score back to zero? </h3>

The value of the card must be such that when we add the value of the card to the current total, the outcome is 0.

So the value of the card must be equal to the additive inverse of your total, where the additive inverse of a number is another number such that when you add these two numbers the outcome is 0.

So if your total is 6, then:

6 + a = 0

a = -6

This means that you need to draw a card with the number -6.

If you want to learn more about additive inverses:

brainly.com/question/1548537

#SPJ1

4 0
1 year ago
You make 12 equal payments you pay a total of $1308. how much is each payment? step by step
klemol [59]

Answer:

1308/12=109

Step-by-step explanation:

each payment is 109 dollars

i just divided 1308 by 12 and got 109

8 0
3 years ago
Read 2 more answers
The parents’ club has $2,500 to invest in printed shirts to sell at their fundraiser. What is the maximum number of shirts that
VikaD [51]

Total amount to be invested = $2,500.

First given price for a printed shirt = $18.

Number of shirts that they can buy = Total money ÷ Price of each shirt.

a)  For unit price $18 number of shirts can buy = 2,500/18 = 138.89, so approximately 138 ( because it's less than 139).

Therefore, with unit price $18 the maximum number of shirts can buy = 138 shirts.

a)  For unit price $15 number of shirts can buy = 2,500/15 = 166.67, so approximately 166 ( because it's less than 167).

Therefore, with unit price $15 the maximum number of shirts can buy = 167 shirts.

a)  For unit price $11 number of shirts can buy = 2,500/11 = 227.27, so approximately 227 ( because it's less than 228).

Therefore, with unit price $11 the maximum number of shirts can buy =227 shirts.

Therefore, with least unit price $11 , maximum number of shirts could be buy and that is 227 shirts which is over 200.

4 0
3 years ago
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