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Semmy [17]
2 years ago
11

1) Simplify into Standard Form. 2(x – 3)^2 – 1 help !

Mathematics
1 answer:
loris [4]2 years ago
6 0
2x^2 - 12x + 17

you just simplify it by doing the square number to the bracket and then multiply everything in the bracket by the number outside the bracket (this example 2)
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Which data set is the farthest from a normal distribution?
Rudik [331]

Answer:

(C)0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3

Step-by-step explanation:

In (A), (B), (D) and (E) options, all have similar set of numbers and ranges between 2 to 10. Moreover these contains the whole numbers, so when we find mode, median and mean of these data sets, they will follow the same path.

But in (C), the data values involves decimals and are not the part of the other data values and it goes from 0.9-1.3, thus making them farthest from a normal distribution when mean, mode and median are calculated.

Thus, option (C) is correct.

5 0
3 years ago
Read 2 more answers
Un dia en uno de los pizarrones de la escuela a Divide el pizarrón en cuatro partes iguales, de modo que en cada una quede un 1
tekilochka [14]

Answer:

Translation: One day on one of the school blackboards a Divide the blackboard into four equal parts, so that each one has a 1, a 2, a 3 and a 4

Step-by-step explanation:

So what am I answering here?

8 0
2 years ago
The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours. Daryl plans to be gone at least
lubasha [3.4K]

The inequality equation will be -5x + 20 < -10.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign.

The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours.

Daryl plans to be gone at least 6 hours, and he has a plant outside.

If he wants the plant to remain in temperatures above -10° should Daryl move the plant to a warmer location before leaving will be

The inequality equation will be

-5x + 20 < -10

where x is the number of hours.

Then we have

-10 < -5x + 20

5x > 30

   x > 6 hours

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

5 0
1 year ago
Solve each problem. NO LINKS!!!!!​
Sauron [17]
<h3>Answers:</h3>
  • Problem 10) There are 220 combinations
  • Problem 11) There are 126 combinations
  • Problem 12) There are 154,440 permutations
  • Problem 13) There are 300 different ways

============================================================

Explanations:

Problem 10

The order of the toppings doesn't matter. All that matter is the group itself. We'll use the combination formula nCr = (n!)/(r!*(n-r)!) where n = 12 and r = 3 in this case.

So,

nCr = (n!)/(r!*(n-r)!)

12C3 = (12!)/(3!*(12-3)!)

12C3 = (12!)/(3!*9!)

12C3 = (12*11*10*9!)/(3!*9!)

12C3 = (12*11*10)/(3*2*1)

12C3 = 1320/6

12C3 = 220

-------------------------

Problem 11

Like with problem 10, the order doesn't matter. This is assuming that each member on any given team has the same rank as any other member.

If you used the nCr combination formula, with n = 9 and r = 5, you should get the answer 126

Here's another way to get that answer.

There are 9*8*7*6*5 = 15120 different permutations. If order mattered, then we'd go for this value instead of 126

Within any group of five people, there are 5! = 120 different ways to arrange them. So we must divide that 15120 figure by 120 to get the correct value of 126 combinations

15120/120 = 126

Note the connection between nCr and nPr, namely,

nCr = (nPr)/(r!)

-------------------------

Problem 12

Now this is where order matters, because the positions in basketball are different (eg: a point guard differs from a center).

We have 13 choices for the first position, 12 for the second, and so on until we reach 13-r+1 = 13-5+1 = 9 as the number of choices for that last slot.

So we'll have 13*12*11*10*9 = 154,440 different permutations

Now if the condition that "each player can play any position" isn't the case, then the answer would very likely be different. This is because for the center position, for instance, we wouldn't have 13 choices but rather however many choices we have at center. To make the problem simpler however, your teacher is stating that any player can play at any slot. Realistically, the answer would be far less than 154,440

-------------------------

Problem 13

We have 6 applications for the 2 math positions. Order doesn't matter. That means we'll have 6C2 = 15 different ways to pick the math people. Use the nCr formula mentioned in problem 10. Since we'll use this value later, let's make x = 15.

There are 2 people applying for the chemistry teaching position, meaning there are 2 ways to fill this slot. We could compute 2C1 = 2, but that's a bit overkill in my opinion. Let y = 2 so we can use it later.

Similarly, there are 10 applicants for the Spanish teacher position, leading to 10 ways to get this position filled. You could compute 10C1 = 10 if you wanted to. Let z = 10 so we can use it later.

Once we figured out those x,y,z values, we multiply them together to get our final answer: x*y*z = 15*2*10 = 30*10 = 300

There are 300 different ways to select 2 math teachers, a chemistry teacher, and a Spanish teacher from a pool of 6 math applicants, 2 chemistry applicants, and 10 Spanish teacher applicants.

7 0
2 years ago
Isaac is planting flowers for mother.He needs 2/3 of a cup of soil to go in each of the 8 pots that he has. How many cups of soi
levacccp [35]
He will need 16/3 cups of soil. Simplified that’s 5 and 1/3 cups of soil. I’m not sure if my answers right but yeah lol.
3 0
3 years ago
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