A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is less than 10.

Answer:

a. [tex]C(25) = 146.25[/tex]

b. [tex]C(100) = 165[/tex]

c. [tex]x = 187[/tex]

d. Increment in number of uniform causes an increment in price

Step-by-step explanation:

Given

[tex]C(x) = 140 + 0.25x[/tex]

Solving (a)

[tex]x = 25[/tex]

This gives:

[tex]C(x) = 140 + 0.25x[/tex]

[tex]C(25) = 140 + 0.25 * 25[/tex]

[tex]C(25) = 140 + 6.25[/tex]

[tex]C(25) = 146.25[/tex]

Solving (b):

[tex]x = 100[/tex]

This gives:

[tex]C(x) = 140 + 0.25x[/tex]

[tex]C(100) = 140 + 0.25 * 100[/tex]

[tex]C(100) = 140 + 25[/tex]

[tex]C(100) = 165[/tex]

Solving (c):

Average cost = $1 per logo

For x logos,

Average cost = $1 * x

Average cost = $x

So, we have:

[tex]C(x) = 140 + 0.25x[/tex]

[tex]x = 140 + 0.25x[/tex]

Collect Like Terms

[tex]x - 0.25x = 140[/tex]

[tex]0.75x = 140[/tex]

Solve for x

[tex]x = 140/0.75[/tex]

[tex]x = 187[/tex] ---- Approximated

Solving (d): What happens when number uniform increases.

Notice that in (a) & (b).

x increases from 25 to 100

Price also increases from $146.25 to $165.

Hence:

Increment in number of uniform causes an increment in price

Answer:

U=2, S=1, T=1

Step-by-step explanation:

(Ux²+x-T) (2x-1)=(2x-1)²(x+S)

(Ux²+x-T)=(2x-1)(x+S)=2x²+(2S-1)x-S

U=2

2S-1=1 --> S=1

T=S=1

Answer:

20

Step-by-step explanation:

80% needs 20% more to be 100%  so we devide 16 by 4 to get the awnser for 20% witch is 4 so 16+4 is equal to 80% + 20% so 20

Answer:

20

Step-by-step explanation: 16 you need to 2  more question to get 100 so if you use your brain and imagine doing a test and you get an 80 percent and answered 16 correct go back to the test to see what you have

Answer:

25.5

Step-by-step explanation:

Answer:2.25

Step-by-step explanation:

Answer:

Simplifying

1.6 + 4x = 14

Solving

1.6 + 4x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.6' to each side of the equation.

1.6 + -1.6 + 4x = 14 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0

0.0 + 4x = 14 + -1.6

4x = 14 + -1.6

Combine like terms: 14 + -1.6 = 12.4

4x = 12.4

Divide each side by '4'.

x = 3.1

Simplifying

x = 3.1

Step-by-step explanation:

Answer:

7.98x10^3

Step-by-step explanation:

10^3=1000

Answer:7.980 × 10^3

Step-by-step explanation:

Answer: false

Step-by-step explanation:

I think the answer is 54.

Answer:

     C₁   C₂   C₃   C₄     T

R₁   4     3    3      1      11  

R₂   1     2     1      2      6

R₃   2    3     4      2     11

R₄   1     1      3      1     6

T     8    9      11    6

Step-by-step explanation:

1.-For inspection  column 4 (C₄) is equal to row 2 ( R₂ ), and column 3 (C₃) is equal to row 1 (R₁)

2.- Let´s assume spiral is equal to 1 and the zebra rectangle is equal to 2

star 3 and pentagon 4

     C₁   C₂   C₃   C₄     T

R₁   4     3    3      1      11  

R₂   1     2     1      2      6

R₃   2    3     4      2     11

R₄   1     1      3      1     6

T     8    9      11    6

Answer:

1,100

Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100

Answer:

not 1,100 its 1100

Step-by-step explanation:

Answer:

I really hope this helps :), 68

Answer:

a

[tex]P(A_1)  =  0.007[/tex]

b

[tex]P(A_2) = 0.016[/tex]

c

[tex]P(A_3) =  0.008[/tex]

d

[tex]P(A_4) =  0.004[/tex]

e

[tex]P(A_5) =  0.0002[/tex]

Step-by-step explanation:

From the question we are told that

   The number of cards selected is  n = 7

Generally in a standard deck of cards

   The total  number of cards is  N  =  52

    The number of  hearts is  h = 13  

    The  number of diamonds is  d = 13

    The number of  spade is  s  =  13

    The number of  Ace is  a = 4

    The number of kings is  k =  4

Considering question a

   The number of ways to selected 5 hearts out of the  13 hearts is mathematically represented as

      [tex]G  =  ^{13}C_5[/tex]

Here C means combination so  

The number of cards that is not hearts  is  52 -  13  =  39

Generally the number of ways of selecting the reaming 2 cards is  

    [tex]H  =  ^{39}C_2[/tex]

Generally the number of ways to select the 7  cards from the 52 deck of cards is  

        [tex]V  =  ^{52}C_7[/tex]

Generally the probability that exactly 5 of the 7 cards  are hearts is mathematically represented as

     [tex]P(A_1)  =  \frac{G  *  H}{V}[/tex]

=>  [tex]P(A_1)  =  \frac{^{13}C_5  *  ^{39}C_2}{^{52}C_7}[/tex]

=>   [tex]P(A_1)  =  0.007[/tex]

Considering question b

     The number of ways to selected 3 diamonds out of the  13 diamonds is mathematically represented as

      [tex] B =  ^{13} C_3 [/tex]

The number of ways to selected 3 hearts out of the  13 hearts is mathematically represented as

      [tex]K  =  ^{13}C_3[/tex]

The number of cards that is not hearts or diamond  is  52 -  (13 +13)  =  26

Generally the number of ways of selecting the reaming 1 cards is  

    [tex]M  =  ^{26}C_1[/tex]

Generally the probability that there are 3 hearts and 3 diamonds is

    [tex]P(A_2) =  \frac{B  *  K *  M}{V}[/tex]

=> [tex]P(A_2) =  \frac{^{13}C_3  *  ^{13}C_3 *  ^{26}C_1}{^{52}C_7}[/tex]

=>  [tex]P(A_2) = 0.016[/tex]

Considering question c

The number of ways to selected 1 spade out of the  13 spade is mathematically represented as

     [tex]J = ^{13}C_1[/tex]

Generally the probability that there are 3 hearts, 3 diamonds and 1 spade is

   [tex]P(A_3) =  \frac{B *  K  *  J}{V}[/tex]

=> [tex]P(A_3) =  \frac{^{13}C_3 *  ^{13}C_3   *  ^{13}C_1}{^{52}C_7}[/tex]

=>  [tex]P(A_3) =  0.008[/tex]

Considering question d

The number of ways to selected 2 Aces out of the  4 Aces is mathematically represented a

     [tex]U = ^{4}C_2[/tex]

The number of ways to selected 2 Kings out of the  4 Kings is mathematically represented a

       [tex]R = ^{4}C_2[/tex]

The number of cards that is not Aces or Kings  is  52 -  (4 +4)  =  44

Generally the number of ways of selecting the reaming 3 cards is  

     [tex]S = ^{44}C_3[/tex]

Generally the probability that there are 2 Aces and 2 Kings is

    [tex]P(A_4) =  \frac{U *  R  *  S}{ V}[/tex]

=>  [tex]P(A_4) =  \frac{ ^{4}C_2 *  ^{4}C_2  *  ^{44}C_3}{ ^{52}C_7}[/tex]

=>[tex]P(A_4) =  0.004[/tex]

Considering question e

The number of ways to selected 3 Kings out of the  4 Kings is mathematically represented a

     [tex]P = ^{4}C_3[/tex]

Generally the number of ways of selecting the reaming 2 cards is  

      [tex]Q = ^{44}C_2[/tex]

Generally the probability that there are 2 Aces and 3 Kings is

     [tex]P(A_5) =  \frac{U  *  P  *  Q }{V}[/tex]

=>  [tex]P(A_5) =  \frac{ ^{4}C_2  *  ^{4}C_3  *  ^{44}C_2 }{^{52}C_7}[/tex]

=>  [tex]P(A_5) =  0.0002[/tex]

Answer:

18 meters per second

Step-by-step explanation:

414/23=18

Not trying to be rude but you should know how to do this with or without a calculator

Answer:

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours  

600watt hours

Answer:

Jenn runs faster at 9 minutes/mile.

Step-by-step explanation:

Jana runs 3 miles in 1/3 hour.

1/3 hour is equivalent to 1/3*60 = 20 minutes

The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.

This ratio for Jana is 20/3=16.7 minutes/mile

As for Jenn, she runs 5 miles in 3/4 hour.

3/4 hour is equivalent to 3/4*60=45 minutes

The ratio time/distance is 45/5=9 minutes/mile

Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.

Answer: 12.50 or 12.5 same thing

Step-by-step explanation:

divide 4400 by 352 to get 12.5

Answer:

slope= 3/4

y intercept= 1/2

Step-by-step explanation:

First find the slope using the formula y2-y1/x2-x1.

the points given: (-6,-4) and (2,2)

so plug in the points into the formula and you'll have:

2-(-4)/2-(-6)=

2+4/2+6=

6/8=

3/4

to find the y intercept, use the formula y-y1=m(x-x1)

y+4=3/4(x+6)

y+4=3/4x+9/2

y=3/4x+1/2

Answer:

I can't see it very well sorry

Answer: -15, -8, -4, 1, 4, 8

Answer: answer is 155

Step-by-step explanation:

Answer:  A)    4x -8 = 128  

Step-by-step explanation:

We will represent the amount that the normal bus carries by   n= x  

We will represent  the amount that the large bus carries by  l = 2x  

We will also represent the amount that the small bus carries by  s = x-8  

Now add them to equal to 128.

x + 2x + x -8 = 128    

    4x -8 = 128  

-14 is the Determinant of given matrices A.

A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).

Given a Mtrix A:

3       1

11     -1

The formula for the determinant of a matrix:

The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.

In our case,

Determinants of A = (3 * -1 ) - (1 * 11)

Determinants of A = -3 -11

Determinants of A = -14

Therefore, the Determinant of given matrices A is -14.

Learn more about determinants here:

https://brainly.com/question/13369636

#SPJ1

Complete question:

What is the determinant of

A=  3       1

       11     -1

Answer:

Its A

Step-by-step explanation:

I got it right on EDGE 2021

Answer:

The answer is actually the last one

Step-by-step explanation:

I just did it. The other answer isn't even the right question.

how much was the second one?

Answer:

5x+3

Step-by-step explanation:

1.  Subtract 1 from 4

4+5x-1

2. Solution

5x+3

Answer:

471,000

Step-by-step explanation: