The table shows the favourite colour of 400 p
o
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50

Answer:

Step-by-step explanation:

[tex]\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}\times \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}\times \begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7} \begin{bmatrix}2 & 3 \\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\ -1\end{bmatrix}[/tex]  

Since, [tex]\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}[/tex]

And [tex]A^{-1}A=I[/tex]

[tex]\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}[/tex]

[tex]\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}[/tex]                

Therefore, x = 5 and y = -3 will be the value of variables.

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

12/1.50=8 TV dinners

Answer:

A. x>2

Step-by-step explanation:

11x>22

x>22/11

x>2

Answer:

hey Hey Im the Hero to you 2x⋅(y−z+w)

Answer :D

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 x • ((3y -  2 • (z - w)) -  y)

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2y - 2z + 2w  =   2 • (y - z + w)  

Final result :

 2x • (y - z + w)

Answer:

B) (x + 3)^2 = 17

Step-by-step explanation:

To complete the square you need to put x + or - half of the x coefficient.

So here it would be (x + 3)^2. However, we're trying to find x^2 + 6x - 8 = 0, not x^2 + 6x + 9 =  0, which is what (x + 3)^2 expands to. So we need to -9 from x^2 + 6x + 9 = 0 and add -8 from the original equation.

This simplifies to (x + 3)^2 - 9 - 8 = 0    --> (x + 3)^2 - 17 = 0

Then all you need to do is rearrange to give: (x + 3)^2 = 17

Hi there! Hope this helps, and if it does, please mark brainliest!

Answer:

346

Step-by-step explanation:

6z2+2z+10

(6 x 3)^2 + 2 x 3 + 10

18^2 + 12 + 10

324 + 22

346

Answer:

6×6

=36

Step-by-step explanation: Negative multiplied by negative is positive.

Answer:

36

Step-by-step explanation:

6 times -2 = -12

-12 times -3 = 36

Answer:  z = 107; x = 5

Step-by-step explanation:

z = 107   They are vertically opposite angles, which they are equal.

z + (6x + 43) = 180

1. Plug in 107 for z.

107 + (6x + 43) = 180

2. Get rid of parentheses.

107 + 6x + 43 = 180

3. Sum up the number in the left sides.

      6x + 150 = 180

4. Subtract 150 from both sides.

                6x = 30

5. Divided 6 from both sides.

                  x = 5

Answer:

Step-by-step explanation:

Given

Substituting values

Answer:

106 white marbles

Formula:

(Blue)+(Red)=(Answer)

(Total Marbles)-(Answer)=(White)

Work:

12 + 14 = 26

132 - 26 = 106

Answer:

BC = 1.2, Option B

Step-by-step explanation:

1). Apply Law of Cosine: [tex]c^2=a^2+b^2-2ab\cdot cos(\gamma)[/tex]

   [tex]BC^2=AB^2+AC^2-2\cdot AB\cdot AC\cdot cos(\angle\ BAC)[/tex]

   [tex]AB=2\\AC=1\\\angle BAC=25[/tex]

2). [tex]BC^2=2^2+1^2-2\cdot 1\cdot cos(25)[/tex]

    [tex]BC=1.17[/tex]

Answer:

[tex]\frac{1}{2}[/tex] (a + b)

Step-by-step explanation:

The arithmetic mean is the average of the 2 numbers, that is

[tex]\frac{a+b}{2}[/tex] = [tex]\frac{1}{2}[/tex] (a + b)

Hi! I hope you're enjoying your day!

First, twelve thousand is written like this:

12,000

Now, six hundred looks like so:

600

Put the numbers together:

12,600

Now, seventy-one looks like so:

71

Put all the numbers together:

[tex]\boxed{\boxed{\bold{12,671}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

The answer in figures is 12671

Answer:8.9

Step-by-step explanation: y=2.2 +3.5 =6.7 +0.18

y= 8.9

good luck

Answer :

Explanation :

We know,

⠀

[tex]{ \longrightarrow \bf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \pi {r}^{2}h }}}

[/tex]

⠀

Where,

⠀

Here,

⠀

Substituting the value in the formula :

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \times \dfrac{22}{7} \times {3}^{2} \times 14 }}}[/tex]

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{ \cancel3} \times \dfrac{22}{ \cancel7} \times { \cancel9} \times \cancel{14 }}}}[/tex]

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 3 \times 2 }}}[/tex]

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 6 }}}[/tex]

⠀

[tex]{ \longrightarrow{ \pmb {\mathfrak {\qquad { Volume_{(cone) }= 132 }}}}}[/tex]

⠀

Therefore,

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cone is 3 cm . Its Height is given as 14 cm . And, we have been asked to calculate the Volume of the Cone .

For calculating the Volume , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cone} \: = \: \frac{1}{3} \: \pi {r}^{2} h \: }} [/tex]

Where ,

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \pi \: \times \: {r}^{2} \: \times \: h } [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: ( {3})^{2} \: \times \: 14 } \\ [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: 9 \: \times \: 14 } \\ [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac {1}{1} \: \times \: \dfrac {22}{1} \: \times \: 3 \: \times \: 2 } [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 3 \: \times \: 2} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 22 \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \bf {Volume \: _{Cone} \: = \: 132 \: cm } [/tex]

Hence :-

[tex] \underline {\rule {200pt} {4pt}} [/tex]

Answer:

Difference = 13.9 m/s

Step-by-step explanation:

Speed of an object = distance traveled/time taken

Jamal takes 36 seconds to skate 500 m rink. Let his speed is v. So,

[tex]v=\dfrac{500\ m}{36\ s}\\\\=13.89\ m/s[/tex]

Tory takes 40 seconds to skate 500 m rink. Let his speed is v'. So,

[tex]v'=\dfrac{500\ m}{40\ s}\\\\=12.5\ m/s[/tex]

The difference in their speeds,

D = 13.89 - 12.5

= 1.39 m/s

Hence, the difference in their speeds is 13.9 m/s.

Answer:

2

Y and X are numerical and algebraic values to substitute missing numbers or shorten equations.

Considering the probability concept, a random number table could be used as follows:

C) Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we want to count the number of spins it takes to reach values of 0 or 1, when there are 10 possible outcomes, hence option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

1/6

Step-by-step explanation:

1/3 equals 2/6 then two friends share the 2/6 and it's 1/6

  Hope this helped :)

Answer:

y=1/4·x+-2 1/4

Step-by-step explanation:

Answer:

a is the answer

Step-by-step explanation:

The equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur which is correct option(A).

Mutually Exclusive events is defined as in probability the particular addition rule is applicable when two occurrences are incompatible with one another. It claims that the probability of either event is equal to the probability of each event separately.

If E₁ and E₂ are said to be mutually exclusive events then the probability of an event E₁ occurring or the probability of event E₂ occurring is given as P(E₁) + P(E₂) :

P(E₁ ∪ E₂) = P(E₁) + P(E₂)

Hence, the equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur.

Learn more about mutually exclusive events here:

https://brainly.com/question/12947901

#SPJ2

To find the y-intercept substitute x as 0

[tex]y = 1 \times {0}^{2} + 7 \times 0 - 5[/tex]

[tex]y = 1 \times 0 + 0 - 5[/tex]

[tex]y = 0 + 0 - 5[/tex]

[tex]y = - 5[/tex]

We know that:

Finding the y-intercept.

In the equation provided, we can see only one constant.

Thus, the y-intercept is -5.

Answer: (3,12)

Step-by-step explanation:

1. Add both y-coordinates

2. Add both x- coordinates

3. Divide both by two

Answer should be (3,12)

Answer:

It’s step 3 became she forgot to add a^4 in the problem when solving

Answer:

x*y/a-b

Step-by-step explanation:

Answer:

1/125

Step-by-step explanation:

Answer:

4x+6y³

Step-by-step explanation:

give me thanks, please;)

Answer:

NOTHING

Step-by-step explanation:

Answer:

Step-by-step explanation:

either 150.7 or 40