Numbers made up of three digits are formed using the digits 1, 2, and 3
with no repeating digits.
a) List all possible outcomes.

b) Find the probability of randomly forming an even number.

c) Find the probability of randomly forming a prime number.

Answer:

2. yes; the equation can be written as y = kx; k = 1

Step-by-step explanation:

x-y = 0

That means x and y have to be the same value.

If you multiply a number by 1, you get the same thing.

If you multiply x by one, you get y (the same value).

Hope this helps!

Answer:

58

Step-by-step explanation:

It is the middle point/dot

in the box with the line

Answer:

a is cheaper than b if you were buying detergent

Answer:

1) 512 in.

2) 384 in.

Step-by-step explanation:

\(volume = {a}^{3} = 8 \times 8 \times 8 =512\)

\(surface \: area \: = 6 {a}^{2} = 6 \times 8 \times8 = 384\)

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

The answer is B!

Step-by-step explanation:

Answer:

10x + 5

Step-by-step explanation:

You have to add common numbers (Variables).

3x + 7x = 10x

Then you add the 5.

10X + 5

Answer:

3x + 5x + 7x should just be 15x

Step-by-step explanation:

Hope I helped

Have a Jocular day

Answer:

  a.  12

  b.  1/2

Step-by-step explanation:

Given a meal has 3 choices of meat, 2 choices of fruit, and 2 choices of dessert, you want to know the number of possible meals, and the probability of a meal with no cookie for dessert.

As the tree diagram shows, the number of possible meals is ...

  (possible meats)×(possible fruits)×(possible desserts)

  = 3×2×2 = 12

There are 12 possible lunch options.

Half the possible dessert choices have no cookie. That is the probability that a lunch will have no cookie:

  P(no cookie) = 1/2

__

Additional comment

The bottom line of the tree diagram has 6 Cs and 6 Ms. That is, 6 of the 12 options for meals have no cookie.

<95141404393>

Answer:

Step-by-step explanation:

the first graph has no solution since the lines will never meet and the second one has infinite solutions because it goes on and on

Answer:

Concept: Mathematical Analysis

Answer:

2: 60

3:75

Maybe its been a while since i done this

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

because on the first paper the food coloring was always twice as much as the frosting and 100 is two times larger than 50.

9514 1404 393

Answer:

  £27

Step-by-step explanation:

If we assume that more than 10 bean bags will be purchased, their individual cost will be £45 - 10%×£45 = £40.50. Then the total cost of n beanbags and a coffee machine will satisfy the inequality ...

  £40.50n +£320 ≤ £1400

  40.50n ≤ 1080

  n ≤ 26 2/3 . . . . . . . 26 is more than 10, so the discount will be applied

Only an integer number of beanbags can be purchased, so the purchase of 26 beanbags and the coffee machine will leave a left-over amount of ...

  £1400 -(320 +26×40.50) = £1400 -1373 = £27

The employees will have £27 left over.

Answer:

The answer is £27.

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

#SPJ1

The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer:

A

Step-by-step explanation:

If you do the 2.2 * 10 ^ 6 you would get 2,200,000 then divide that by 5000 and put it in scientific notation which would be 4.4 * 10 ^ 2

Answer:

5/12

Step-by-step explanation:

take the number of students who read under6 books (5) and divide by total amount of students (12)

5/12

Answer:

5/12

Step-by-step explanation:

there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books

Answer:

the equation is f(x)4x+2

if the input is a generic number n, the output will be 4n+2

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

7 x 11

you replace x with 11 due to substitution rule