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antiseptic1488 [7]
3 years ago
13

What is the answer to this?

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

\huge\boxed{-6}

Step-by-step explanation:

Since we know the values of a, b, and c, we can substitute them into our expression and get the value.

-2b + | -3c + a |\\\\-2(6) + |-3(-3) + -3 |

A negative multiplied by a negative gets us a positive.

-2(6) + |9 + -3 |

Adding a negative is the same as subtracting a positive.

-2(6) + |9  -3 |\\-2(6) + 6

-2 \cdot 6 = -12\\\\-12+6\\\\-6

Hope this helped!

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From the sample space S​={1,2,3,4,...,15} a single number is to be selected at random. Given the following​ events, find the ind
marshall27 [118]

The probabilities of the given events are:

A. P(even) = P(A) = 7/15

B. P(multiple) = P(B) = 3/15

C. P(prime) = 6/15

D. P(B|A) = 3/7

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes of an event to the total number of possible outcomes.

P(E) = n(E)/n(S)

<h3>Calculation:</h3>

The given sample space is S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

So, n(S) = 15

A. The selected number is even:

Consider the event as A.

The set of even numbers in the given sample is {2,4,6,8,10,12,14}

So, n(A) = 7

Then, the required probability is

P(A) = n(A)/n(S)

       = 7/15

B. The selected number is a multiple of 4:

Consider the event as B.

The set of multiples of 4 in the given sample is {4,8,12}

So, n(B) = 3

Then, the required probability is

P(B) = n(B)/n(S)

       = 3/15

C. The selected number is prime:

Consider the event as C.

The set of prime numbers in the given sample is {2,3,5,7,11,13}

So, n(C) = 6

Then, the required probability is

P(C) = n(C)/n(S)

       = 6/15

D. calculate P(B|A):

Since events B and A are dependent events of the same sample,

n(A∩B) = 3 and the set is {4,8,12}. Then, P(B|A) is

P(B|A) = n(A∩B)/n(A)

⇒ P(B|A) = 3/7

Learn more about the probabilities here:

brainly.com/question/251701

#SPJ1

7 0
1 year ago
X*2/5=3/20 what si it nowwwwwwwwwwwwwwwwwwwww
gladu [14]

Answer: x = 11/20 = 0.550

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-2/5-(3/20)=0  

Step by step solution :

Step  1  :

            3

Simplify   ——

           20

Equation at the end of step  1  :

       2      3

 (x -  —) -  ——  = 0  

       5     20

Step  2  :

           2

Simplify   —

           5

Equation at the end of step  2  :

       2      3

 (x -  —) -  ——  = 0  

       5     20

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

         x     x • 5

    x =  —  =  —————

         1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 5 - (2)     5x - 2

———————————  =  ——————

     5            5    

Equation at the end of step  3  :

 (5x - 2)     3

 ———————— -  ——  = 0  

    5        20

Step  4  :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       5  

     The right denominator is :       20  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

5 1 1 1

2 0 2 2

Product of all  

Prime Factors  5 20 20

     Least Common Multiple:

     20  

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 4

  Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (5x-2) • 4

  ——————————————————  =   ——————————

        L.C.M                 20    

  R. Mult. • R. Num.       3

  ——————————————————  =   ——

        L.C.M             20

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(5x-2) • 4 - (3)     20x - 11

————————————————  =  ————————

       20               20    

Equation at the end of step  4  :

 20x - 11

 ————————  = 0  

    20    

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 20x-11

 —————— • 20 = 0 • 20

   20  

Now, on the left hand side, the  20  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  20x-11  = 0

Solving a Single Variable Equation :

5.2      Solve  :    20x-11 = 0  

Add  11  to both sides of the equation :  

                     20x = 11

Divide both sides of the equation by 20:

                    x = 11/20 = 0.550

One solution was found :

                  x = 11/20 = 0.550

7 0
2 years ago
WILL GIVE BRAINLIEST
padilas [110]
Okay so first do 2x3 which equals 6. then add 6 to 1 and you would get 7. so 7/2 is your answer!!

denominator- bottom half of a fraction ex. in the fraction 5/7 the bottom number (7) is the denominator

numerator- top half of a fraction ex. in 5/7 the top (5) is the numerator

whole number-a number without fractions ex. 7, 29, 18
8 0
2 years ago
Read 2 more answers
Find KL. Round to the nearest hundredth.<br> d<br> Sut of<br> .1.3<br> 48<br> L
VARVARA [1.3K]

Answer:

1.3

Step-by-step explanation:

give brainliest

4 0
3 years ago
SOMONE HELP ME I HAVE <br> TO DO THIS AFTER SCHOOL PLS ASAP!!!
Scrat [10]

Answer:

1 no

2 I don't know

3 no

4 yes

5 2.5 is the slope

6 -0.5

7 no slope

Step-by-step explanation:

1 no because the y overlaps

2 not sure

3 it over laps

4 it never overlaps

5 y=2.5x-3

6 y=-0.5x+1

7 no slope it's just x=-2

for the 5-7 you can type that into demos and get more info

y=mx+b

m is the slope and b is y intercept

3 0
2 years ago
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