Solve.
a + 1 = Vb + 1 for b.

Answer:

Colin's mean score = 17.10

The new mean is 18.00

Step-by-step explanation:

Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1

number of terms: 10

mean is calculated by given formula = sum of all the data set/ number of terms in the data set.

mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10

                                       = 171/10 = 17.1

Colin's mean score = 17.10

____________________________________________

runs scored by Colin in 11th match = 27

number of terms: 11

new mean = new sum /number of terms

new mean = (old sum score + 27)/11 = (171+27)/11

new mean = 198/11 = 18

The new mean is 18.00

Answer:

The answer is 4 3/4

Answer:

-34

Step-by-step explanation:

-6-(11)-17

-6-11-17

-34

Answer:

the average number of 2 and 3 is 2.5 and 10 is an integer

Step-by-step explanation:

Answer:

 | -6      0    |

  |  12   21   |

Step-by-step explanation:

When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar

3  | -2  0  |

   |  4   7   |

becomes

 | -6  0  |

  |  12   21   |

Answer:

Solution : C

Step-by-step explanation:

This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.

[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]

Simplifying each element, we receive the following matrix,

[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c

This equals 320 tablespoons.

Answer:

[tex]x=8,\:x=-3[/tex]

Step-by-step explanation:

[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]

[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]

Answer:

10

Step-by-step explanation:

the square root of 100 is 10

√100=10

Answer:  10 + i

thats answer

Answer:

Probability = 0.2603

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]

Solution; Probability = ( About ) 0.2603

Answer: B. 2∛3

Step-by-step explanation:

[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

Answer:

12

Step-by-step explanation:

Adding a to both sides of the second equation we get b = a+1

Substituting this in we get

10a + 10 - 9a=6

a +10 =6

a=-4

Putting this back in to the second one we get b+4=1

B=-3

-4*-3=12

The value of ab = 36.

We have the following equations -

10b - 9a = 6

b - a = 1

We have to determine the value of ab.

We have -  [tex]a^{2} -b^{2} = \pi[/tex]

(a + b) (a - b) = [tex]\pi[/tex]

a - b =  [tex]$\frac{\pi }{4\pi }[/tex]  = 1/4

According to question, we have -

10b - 9a = 6

b - a = 1

Now -

b - a = 1

a = b

Therefore -

10b - 9a = 6

10b - 9b = 6

b = 6 = a

ab = 6 x 6 = 36

Hence, the value of ab = 36.

To solve more questions on finding unknowns, visit the link below -

https://brainly.com/question/14728313

#SPJ2

Answer:

the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]

Step-by-step explanation:

Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.

If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:

[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]

Answer:

6

Step-by-step explanation:

In a right triangle the legs are base and height

area = (1/2) base × height = (1/2) 3 (4) = 6

Answer: 6  square units

Answer:

-54

Step-by-step explanation:

Please write this sequence in the following form:  a(n) = (-2)*3^(n- 1)

Then a(1) = -2*3^0  =  -2

         a(2) = -2*3^(2 - 1) = -6

          a(3) = -2*3^(3 - 1) = -2*9 = -18

          a(4) = -2*3^(4-1) = -2*27 = -54

Answer:

✔ -2

Step-by-step explanation:

correct

Answer:

-2 is your answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

how to find the correct one?

just see on the x² constant number. it's -5 so

from ABCD the only option give -5 is C

A. (-2)(-2) + (-1)(-1) = 5

B. (-2)(-2) + (1)(1) = 5

C. (2)(-2) + (-1)(1) = -5

D. (-2)(2) + (-1)(-1) = -3

Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

C2 = (6/10)*15m = 9m.

Answer:

B

Step-by-step explanation:

It adds one row on the bottom and one row on the right

Answer:

x^4-9x²+1

Work:

Answer:

22.5

Step-by-step explanation:

[tex]4-9+\dfrac{5}{6}\cdot 33= \\\\\\4-9+27.5= \\\\\\-5+27.5= \\\\\\22.5[/tex]

Hope this helps!

Answer:

22.5

Step-by-step explanation:

4-9+5/6*33

-5+165/6

= 22.5

c will prove that b is parallel

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution or solutions to a system are where the 2 graphs intersect each other. Our graph goes up by 2 units. The point of intersection on the left is at (-6, 8) and the point of intersection on the right is at (2, 0).

Answer:

See below

Step-by-step explanation:

I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!

Answer:

the answer is graph 1

To find the better deal divide the price by the weight of each and compare:

1.49 / 120 = 0.012 per gram

0.89/ 100 = 0.0089 per gram

Buying loose is the better deal because the price per gram is smaller

= 3x^2 + 5x^2 = 8x^2

5x - 13x = -8x

-8 + -5 = -13

=> 8x^2 - 8x - 13

: B

Answer:

8x2 − 8x − 13

Step-by-step explanation:

 (((3•(x2))+5x)-8)+((5x2-13x)-5)

((3x2 +  5x) -  8) +  (5x2 - 13x - 5)

 Factoring  8x2-8x-13

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -13

Step-1 : Multiply the coefficient of the first term by the constant   8 • -13 = -104

Step-2 : Find two factors of  -104  whose sum equals the coefficient of the middle term, which is   -8 .

     -104    +    1    =    -103

     -52    +    2    =    -50

     -26    +    4    =    -22

     -13    +    8    =    -5

     -8    +    13    =    5

     -4    +    26    =    22

     -2    +    52    =    50

     -1    +    104    =    103

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 8x - 13 ✅

Answer:

Step-by-step explanation:

The solution is Option D.

The figure represents a construction of congruent segments

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first line segment be represented as P

Let the second line segment be represented as Q

Now , the equation will be

The length of the line segment P is congruent to the line segment Q

Therefore , the line segments P and Q are congruent to each other

Hence , the figure represents a construction of congruent segments

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ6

Answer:

The answer the to first image is X=2. The answer to the second image is X=4.

Step-by-step explanation: