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icang [17]
3 years ago
15

Which of the expressions are equivalent to the one below? Check all that apply.

Mathematics
2 answers:
Luda [366]3 years ago
8 0
5(8 + 3)

(5 * 8) + (5 * 3) <== this is one
5(11) = 55 <== this is one
Pachacha [2.7K]3 years ago
8 0

Follow PEMDAS.

First solve the numbers inside the parenthesis

5(8 + 3) = 5(11)

Next, multiply 11 and 5

5(11) = 55

C. 55 is one of your answers

Another way of solving this is distributing 5 to all terms within the parenthesis

5(8 + 3)

5(8) = 40

5(3) = 15

40 + 15 = 55

A. 5*8 + 5*3 is another answer

hope this helps

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Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! pos
m_a_m_a [10]

Answer:

P(X=1)=\frac{1}{2}\\P(X=2)=\frac{5}{18}\\P(X=3)=\frac{5}{36}\\P(X=4)=\frac{5}{84}\\P(X=5)=\frac{5}{252}\\P(X=6)=\frac{1}{252} \\P(X>6)=0

Step-by-step explanation:

Let's define the following event :

X : ''Highest ranking achieved by a woman''

There are five men and five women so the lowest ranking possible is 6, this means that all five men achieved a better ranking than all five women.

In terms of the variable :

X can assume the following values :

X=1\\X=2\\X=3\\X=4\\X=5\\X=6

⇒ P(X=7)=0\\P(X=8)=0\\P(X=9)=0\\P(X=10)=0

⇒ P(X>6)=0

Now let's calculate the probability function for X

P(X=1)=\frac{(5)(9!)}{(10!)}=0.5=\frac{1}{2}

We write on the denominator the total ways to arrange ten different persons in a line. This number is 10!

On the numerator we write the total cases in which the first person is a woman ⇒ (5).(9!)

Because they are five different women and when you pick one of then they are 9! ways to arrange the 9 remaining persons

Following this logic, we continue calculating the probability function :

P(X=2)=\frac{(5)(5)(8!)}{(10!)}=\frac{5}{18}

Again : Five different ways to choose between the five men in the first position.Then, 5 different ways to choose between the five women.And finally, 8! ways to arrange the remaining persons

P(X=3)=\frac{(5)(4)(5)(7!)}{(10!)}=\frac{5}{36}

Here we have : five different ways to choose between five men.Four different ways to choose between the four remaining men.Five different ways to choose between the five women for the third position and finally 7! ways to arrange the remaining persons.

P(X=4)=\frac{(5)(4)(3)(5)(6!)}{(10!)}=\frac{5}{84}

P(X=5)=\frac{(5)(4)(3)(2)(5)(5!)}{(10!)}=\frac{5}{252}

P(X=6)=\frac{(5)(4)(3)(2)(1)(5)(4!)}{(10!)}=\frac{1}{252}

3 0
3 years ago
Help help me please
prisoha [69]

Answer:

1. -15,-10,-5,0,5,10,15,20,25,30

Step-by-step explanation:

For number one, you are incresing by 5 each time -15+5= -10, -10+5=-5, and so on

For each problem you are incresing or decreasing by a specific value, just subtract from the last number to find the value :)

7 0
3 years ago
Read 2 more answers
Round to the nearest thousand 706421
mariarad [96]
The answer to your question is 706,000.
3 0
3 years ago
Read 2 more answers
Round off 3. 55 to one significant figure
Anika [276]

Answer:

3.6

Step-by-step explanation:

We must first clarify how a number is rounded.

To round a number to unity we have to look at the first number after the comma.

If this number is less than 5 (1, 2, 3, 4) we should not do anything, but if that number is 5 or greater (5, 6, 7, 8, 9) we must add a unit to the number.

That is to say:

<5 do nothing

=> 5 round to the next number (+1)

So in the case of 3.55 it would be.

3.55 = 3.6

8 0
3 years ago
A model of a famous statue is 1 and one fourth inches tall. The actual statue is 6 and two thirds feet tall. What is the ratio o
Studentka2010 [4]
First, you need to convert 5 1/4 feet to inches. 5.25 x 12 = 63 inches. The ratio of the height of the model to the height of the actual statue in simplest form is 1/42. I don't know if this is correct but I hope this helps you in any way.
5 0
3 years ago
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