Circles A, B, and C overlap. The overlap of circles B and C is labeled x. Which statements are true about x? Select three options. x ∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C x ∈ A ∩ C x ∈ A

Answer:

  -1.9

Step-by-step explanation:

The opposite of the opposite is the original number, -1.9.

It is located at -1.9 on the number line.

Answer:

a

Step-by-step explanation:

Volume before the gold:

3 x 2 x 4 = 24 cubic cm.

Volume after gold:

3 x 2 x 4.25 = 25.5 cubic cm

Volume of gold is the difference:

25.5 - 24 = 1.5 cubic cm.

Answer:

You need to include the graph

Step-by-step explanation:

You need to include the graph, you just pasted everything you copied.

Answer:

20x² - 43xw + 21w²

Step-by-step explanation:

We use FOIL to expand the expression:

F - First

4x(5x) = 20x²

O - Outside

4x(-7w) = -28xw

I - Inside

-3w(5x) = -15xw

L - Last

-3w(-7w) = 21w²

20x² - 28xw - 15xw + 21w²

Combine like terms and add up using correct signs and you should get your answer.

Answer:

[tex]20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]

solution,

[tex](4x - 3w)(5x - 7w) \\ = 4x(5x - 7w) - 3w(5x - 7w) \\ = 20 {x}^{2} - 28xw - 15xw + 21 {w}^{2} \\ = 20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

√111 lie between 10 and 11

Step-by-step explanation:

In order to calculate betwwen which values does √111 lie we would have to make the following calculation:

If we calculate 10∧2, the result is=100

If we calculate 11∧2 the result is=121

Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11

Therefore, √111 lie between 10 and 11

Answer:

1. 51°

2. 40°

3. 65°

4. 60°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.

1. 51°

42+87+x=180

129+x=180

x=51

-------------------------------------------------------------------------------

2. 40°

110+30+x=180

140+x=180

x=40

-------------------------------------------------------------------------------

3. 65°

20+95+x=180

115+x=180

x=65

-------------------------------------------------------------------------------

4. 60°

60+60+x=180

120+x=180

x=60

Answer:

17

Step-by-step explanation:

Since the triangle is a right triangle, we can use the Pythagorean theorem.

a² + b² = c²

The sum of the legs squared is equal to the hypotenuse squared.

15² + 8² = s²

225 + 64 = s²

289 = s²

√289 = s

17 = s

Answer:

Option (3)

Step-by-step explanation:

Glide reflection of a figure is defined by the translation and reflection across a line.

To understand the glide rule in the figure attached we will take a point A.

Coordinates of the points A and A' are (2, -1) and (-2, 4).

Translation of pint A by 5 units upwards,

Rule to be followed,

A(x, y) → A"[x, (y + 5)]

A(2, -1) → A"(2, 4)

Followed by the reflection across y-axis,

Rule to be followed,

A"(x, y) → A'(-x, y)

A"(2, 4) → A'(-2, 4)

Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.

Option (3) will be the answer.

Answer:Reflection along the line y= -1

Step-by-step explanation:

took test

Answer:

answer D

Step-by-step explanation:

Hello

(fog)(x)=f(g(x))=|4x+9|

so g(x)=4x+9

and f(x)=|x|

hope this helps

Answer:

8 : 1

Step-by-step explanation:

Consider the points on the line relating raspberry juice to lemon- lime soda

That is

raspberry juice    lemon- lime sode

         8                             1

        16                             2

        24                            3

         32                           4

These values are all in the ratio of 8 : 1

Answer:

8:1

Step-by-step explanation:

i just know

Answer:

Step-by-step explanation:

33.3%

19.4%

Answer:

7120

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

If an exponent is raised to another exponent, then you can multiply them.  Thus the equation can be simplified to [tex]\frac{x^{-150}}{x^{-144}}[/tex].  Then you can simply subtract x^-144 to get x^-6 which can become 1/x^6

Answer:

.....................

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) This is a right tailed test. The significance level is α. The critical value corresponding to 1 - α is 3.733. From the t distribution table with a df of 15, 1 - α = 0.999

α = 1 - 0.999 = 0.001

b) This is a left tailed test. Degree of freedom, df = n - 1 = 24 - 1 = 23

The critical value corresponding to 1 - α is - 2.500. From the t distribution table with a df of 23, 1 - α = 0.99

α = 1 - 0.99 = 0.01

c) This is a two tailed test. Degree of freedom, df = n - 1 = 31 - 1 = 30

The critical value corresponding to 1 - α/2 is 1.697. From the t distribution table with a df of 30, 1 - α/2 = 0.95

α/2 = 1 - 0.95 = 0.05

α = 2 × 0.05

α = 0.1

Answer:

Step-by-step explanation:

Hello!

(a) Which genre has the highest mean audience score? The lowest mean audience score?

1) Action [tex]\frac{}{X}_1[/tex]= 58.63

2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11

3) Drama [tex]\frac{}{X} _3[/tex] = 72.10

4) Horror [tex]\frac{}{X}_4[/tex]= 48.65

The lowest mean score is  [tex]\frac{}{X}_4[/tex]= 48.65

The highest mean score is  [tex]\frac{}{X} _3[/tex] = 72.10

(b) Which genre has the highest median score? The lowest median score?

1) Action Me₁= 51.00

2) Comedy Me₂= 58.00

3) Drama Me₃= 72.00

4) Horror Me₄= 52.00

The Lowest median is Me₁= 51.00

The Highest median is Me₃= 72.00

(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?

Lowest or minimum scores:

1) Action 32.00

2) Comedy 31.00

3) Drama 46.00

4) Horror 25.00

The genre with the lowest score is "Comedy"

Highest or maximum scores:

1) Action 93.00

2) Comedy 93.00

3) Drama 91.00

4) Horror 78.00

There are two genres with the highest score "Action" and "Comedy"

(d) Which genre has the largest number of movies in that category?

The number of movies for each category corresponds to the sample sizes:

1) Action n₁= 32

2) Comedy n₂= 27

3) Drama n₃= 21

4) Horror n₄= 17

The largest number of movies sampled was for the genre "Action"

(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.

Comedy [tex]\frac{}{X}_C[/tex]= 59.11

Horror [tex]\frac{}{X}_H[/tex]= 48.65

[tex]\frac{}{X}_C[/tex] -  [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46

I hope this helps!

Answer:

$10452958

Step-by-step explanation:

Initial profit = $11900848

Fall rate= $48263 per year

Equation:

where P(x)= profit at year of x, and 1990<x<2020

Answer:

66

Step-by-step explanation:

30+25+5+6 = 66.

There are 66 students in the class.

Answer:

16 Inches

Step-by-step explanation:

An Isosceles Triangle has two equal sides. A line drawn from the altitude to the base (where the base is the third unequal side) divides the base into two equal parts.

Therefore, the right triangle formed by this problem is a right triangle with a base of 12 inches. We are required to calculate the height, h of the right triangle.

(b)Using Trigonometric ratios

[tex]\tan 53^\circ =\dfrac{h}{12}\\ $Cross multiply\\h=12 \times \tan 53^\circ\\h=15.9 \approx 16$ Inches[/tex]

Answer:

Length = 4x+5

Breadth = 3x

Area = l × b

= (4x+5) × 3x

= 12 x² + 15 x

Answer:

AB=BC

root AB=root BC

root(x2-x1

Answer:

Step-by-step explanation:

Assume that f(x) = 0 for x outside the interval [4,9]. We will use the following

[tex]E[X^k] = \int_{4}^{9}x^k f(x) dx[/tex]

[tex]Var(X) = E[X^2}- (E[X])^2[/tex]

Standard deviation = [tex] \sqrt[]{Var(X)}[/tex]

Mean = [tex]E[X][/tex]

Then,

[tex]E[X] = \int_{4}^{9}\frac{1}{5}dx = \frac{9^2-4^2}{2\cdot 5} = \frac{13}{2}[/tex]

[tex]E[X^2] = \int_{4}^{9}\frac{x^2}{5}dx = \frac{9^3-4^3}{3\cdot 5} = \frac{133}{3}[/tex]

Then, [tex]Var(x) = \frac{133}{3}-(\frac{13}{2})^2 = \frac{25}{12}[/tex]

Then the standard deviation is [tex]\frac{5}{2\sqrt[]{3}}[/tex]

Possibilities Density Functions are a set of data measures that can be used to anticipate that a discontinuous value will turn out as the following calculation:

Given function= [tex]\frac{1}{5}[/tex]

interval= [4,9]

Assuming that the given function that is [tex]fx) = 0[/tex] .

For this, the x outside the interval is [4,9].

Equation:

[tex]E[X^k] = \int^{9}_{4} x^k\ f(x) \ dx\\\\[/tex]

[tex]Var(X) = E(X)^2 - (E[X])^2[/tex]

The values are:

Standard deviation [tex]= \sqrt{Var(X)}[/tex]

Mean [tex]= E[X][/tex]

Solving the equation then:

[tex]E[X] =\int^{9}_{4} \frac{1}{5}\ dx[/tex]

         [tex]= \frac{9^2-4^2}{2\cdot 5} \\\\ = \frac{81-16}{10} \\\\ = \frac{65}{10} \\\\=\frac{13}{2} \\\\[/tex]

[tex]E[X^2] =\int^{9}_{4} \frac{x^2}{5}\ dx[/tex]

          [tex]= \frac{9^3-4^3}{3\cdot 5} \\\\= \frac{729-64}{15} \\\\ = \frac{665}{15}\\ \\=\frac{133}{3} \\\\[/tex]

[tex]\to Var(x) = \frac{133}{3} - (\frac{13}{2})^2 = \frac{25}{12}\\\\[/tex]

Therefore the standard deviation value is [tex]\frac{5}{2\sqrt{3}}[/tex]

Find out more about the probability here:

brainly.com/question/11234923

Answer:

  [tex]\dfrac{6^2-3^2}{2}=\dfrac{27}{2}[/tex]

Step-by-step explanation:

You can go to the trouble to integrate y = x from 3 to 6, or you can figure the area geometrically.

  [tex]\displaystyle\int_3^6{x}\,dx=\left.\dfrac{x^2}{2}\right|_3^6=\dfrac{6^2-3^2}{2}\quad\text{using integration}\\\\A=\dfrac{1}{2}(b_1+b_2)h=\dfrac{1}{2}(6+3)(6-3)=\dfrac{6^2-3^2}{2}\quad\text{using geometry}[/tex]

Answer:

Volume of a cylinder is πr²h

Where

r is the radius

h is the height

Volume = 154cm³

radius = 3cm

height = ? cm

154 = π × 3² × h

154 = π × 9 × h

154 = 9πh

divide both sides by 9π

h = 154/9π

h = 5.4cm

Height is 5.4cm

Hope this helps

Answer:

∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.

The value of angles are,

⇒ ∠1 = 105°

⇒ ∠2 = 75°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Now, We get;

∠2 = 75°

Because of alternate interior angles.

And, Since ∠1 and ∠2 form a linear pair,

Hence,  they are also supplementary which means that;

⇒ ∠1 = 180 - ∠2

⇒ ∠1 = 180 - 75

⇒ ∠1 = 105°

Thus, The value of angles are,

⇒ ∠1 = 105°

⇒ ∠2 = 75°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Answer:

[tex] z=\frac{x- \mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{425-500}{75}= -1[/tex]

And we can calculate this probabilit using the normal standard distribution or excel and we got:

[tex] P(z<-1)= 0.159[/tex]

Step-by-step explanation:

If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

[tex] \mu = 500, \sigma = 75[/tex]

And we want to find the following probability:

[tex] P(X<425)[/tex]

And we can use the z score formula given by:

[tex] z=\frac{x- \mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{425-500}{75}= -1[/tex]

And we can calculate this probabilit using the normal standard distribution or excel and we got:

[tex] P(z<-1)= 0.159[/tex]

Answer:

0.006772

If the last dropping digit is less than 5 then it will be ignored

0.00677

if the last dropping digit is greater than 5 than the the last retained digit increases by 1

0.0068

if  the last dropping digit is greater than 5 than the the last retained digit increases by 1

0.007

if  the last dropping digit is greater than 5 than the the last retained digit increases by 1

0.01

if the last digit is less than 5 so it will be ignored

0.0 is significant figure because zero to the right of decimal point are significant

Step-by-step explanation:

i hope this will help you :)

Answer:

0.007

Step-by-step explanation:

Rounding off 0.006772 to 1 significant figures:

=> 0.007

There is only 1 significant figure in this , since the zeroes on the left are not counted as significant figures.

Note: 399 dollar to pound = 263.34 pound

Solution: 15% off 399 is equal to (15 x 15) / 100 = 59.85. So if you buy an item at $399 with 15% discounts, you will pay $339.15 and get 59.85 cashback rewards. hope this helps you

Answer:

The discount is 59.85

Step-by-step explanation:

To find the discount, take the amount and multiply by the discount rate

discount =399 * 15%

              = 399 * .15

               =59.85

The discount is 59.85

Divide the profit by the percentage:

98 / 0.0425 = 2305.88

The cost was $2,305.88

Answer:

True

Step-by-step explanation:

The multiple of 3 is the product of 3 with at least a number. Following the law of indices which states that

aⁿ * bⁿ = (ab)ⁿ

Then the cube of 3 and any number which results in a multiple of 3  gives a result that has 3 cube which is 27 as a factor.

Hence the answer is true

Answer:

Step-by-step explanation:

Slope:  

− 1

y-intercept:  

23