solve for x round to the nearest tenth if necessary

Answer:

B = 42

Step-by-step explanation:

B × 2/7 = A

A ÷ 2/7 = B

12 ÷ 2/7 = B

B = 42

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

[tex]P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

[tex]P(2)=\dfrac{2}{6}[/tex]

[tex]P(2)=\dfrac{1}{3}[/tex]

Now, the expected number of times when 2 to appear is:

[tex]E(x)=114\times P(2)[/tex]

[tex]E(x)=114\times \dfrac{1}{3}[/tex]

[tex]E(x)=38[/tex]

Therefore, the expected number of times is 38.

Answer:

-5

Step-by-step explanation:

Additive inverse is basically the opposite of the given number. So the additive inverse of 5 is -5.

Hope this will help. Please mark me brainliest.

Answer:

- 5

Step-by-step explanation:

The additive inverse is the number added to 5 to give zero, that is

5 + (- 5) = 5 - 5 = 0

Additive inverse is - 5

Answer:

La longitud de [tex]x[/tex] es [tex]5\sqrt{2}[/tex] unidades.

Step-by-step explanation:

La figura es un cuadrado atravesado por una diagonal, significando que existen dos triángulos rectángulos, cuyos ángulos interiores son 45°, 45° y 90°, respectivamente. Por Geometría Euclideana, tenemos que la longitud de la hipotenusa es igual a [tex]\sqrt{2}[/tex] veces la longitud de cualquiera de sus catetos:

[tex]x = \frac{10}{\sqrt{2}}[/tex]

[tex]x = 5\sqrt{2}[/tex]

La longitud de [tex]x[/tex] es [tex]5\sqrt{2}[/tex] unidades.

Answer:

(B) M - J = 6

Step-by-step explanation:

Here we have the variables:

M = number of games that Mike won.

J = number of games that Jeanie won.

And we know that there is a total of 38 games played, then if a game can not end in a draw, we have the equation:

M + J = 38

Now we want to find the other equation needed to solve this problem:

We also know that Mike won 6 more games than Jeanie, this is written as:

M = J + 6

We can subtract J in both sides to get:

M - J = 6

This is the equation from option B, so we can conclude that the correct option is B.

Which value(s) from the set {5, 7, 9, 11, 13} make the inequality w = 4 < 8 true?

hope it helps...

have a great day!!

Answer:

{5, 7, 9, 11}

Step-by-step explanation:

cuz you subtracting 4 and making inequality anyway bye

Step-by-step explanation:

it's a right angled triangle

it's also a scalene triangle because not all sides are equal

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The result is positive, so you know the number must be negative. What two numbers normally make 60? That would be 5 and 12, but since the 12 is negative (-12), that means the 5 must be negative (-5). So, the answer is -5.

Answer:

4

Step-by-step explanation:

7x = x² - 8

=> x² - 7x - 8 = 0

use quadratic formula:

a = 1, b = -7, c = -8

x = [tex]\frac{-(1)±\sqrt{(-7)^{2} - 4(1)(-8) } }{2(1)}[/tex] (pls ignore the "A" I don't know why it's showing up)

=> x = [tex]\frac{-1±\sqrt{49 + 32} }{2}[/tex]

=> x = [tex]\frac{-1±9 }{2}[/tex]

=> x = [tex]\frac{-1 +9}{2}[/tex] = 4 or [tex]\frac{-1-9}{2}[/tex] = -5 (the answer is only 4 since it's asking for the positive solution)

Answer:

tens of thousand vs hundred

Step-by-step explanation:

Answer:

[A] -0.5

General Formulas and Concepts:

Algebra I

Algebra II

Calculus

Limits

Graphical Limits

Discontinuities

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left \{ {{-1 - x, \ x \neq 2} \atop {8, \ x = 2}} \right.[/tex]

[tex]\displaystyle \lim_{x \to -0.5} f(x)[/tex]

Step 2: Solve

According to the graph, we see that when we approach x = -0.5 of the function f(x), we land on y = -0.5.

The function value at x = 2 would equal 8, but the limit as x approaches -0.5 would not approach the function value, but approach the hole in the function.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

Answer:

5.23 =d

Step-by-step explanation:

cost = fee + daily charge*days

520 = 180+ 65d

Subtract 180

520 -180 = 180+65f-180

340 = 65d

Divide by 65

340/65 = 65d/65

5.23 =d

Answer:

In 2020 the population will be 6,233.

Step-by-step explanation:

Giving the following information:

Present value (PV)= 5,600

Growth rate (g)= 1.8%

Number of periods= 6 years

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1 + g)^n

FV= 5,600*(1.018^6)

FV= 6,232.67 = 6,233

In 2020 the population will be 6,233.

The volume, of the cement used to make the sidewalk is 8 ft³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given that, James is using cement to make a new sidewalk and new steps,

He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.

Volume = length x width x height

Volume = 8 x 4 x 0.25 = 8 ft³

Hence, the volume, of the cement used to make the sidewalk is 8 ft³

Learn more about volumes, click;

https://brainly.com/question/1578538

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Answer:

64º and 116º

Step-by-step explanation:

x  + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º

Answer:

3 5/12

Step-by-step explanation:

Answer:

41/12 gallons

= 3 5/12 gallons

Step-by-step explanation:

Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.

You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.

8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.

Then 4 5/6 becomes 29/6 with the same concept earlier.

So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.

33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.

29/6 becomes 58/12 because we multiplied the fraction by 2/2.

Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.

Since we have 99/12 and 58/12, we can subtract cleanly into

99 - 58 = 41

So the answer is 41/12

Answer:

2(5)+3y<40

yes that what I know

Answer:

x = 28

y = 47

Step-by-step explanation:

40 + 5x = 180 since it forms a straight line

5x = 180-40

5x = 140

Divide by 5

5x/5 = 140/5

x =28

3y-1 = 5x  since they are alternate exterior angles

3y-1 = 140

Add 1

3y = 141

3y/3 = 141/3

y = 47

Solve for q

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

[tex](8q-5)^o+81=180^o[/tex]

[tex]8q-5+81=180[/tex]

[tex]8q+76=180[/tex]

[tex]8q=180-76[/tex]

[tex]8y=104[/tex]

[tex]q=13[/tex]

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

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

Answer:

B

Step-by-step explanation:

If you find area of base then you can multiply by height and divide by 3. So first find the area of the base

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2+1\text{ and } g(x)=x-4[/tex]

And we want to find:

[tex](f\circ g)(10)[/tex]

This is equivalent to:

[tex]=f(g(10))[/tex]

Find g(10) first:

[tex]g(10)=(10)-4=6[/tex]

Substitute:

[tex]f(g(10))=f(6)[/tex]

Evaluate f(6):

[tex]f(6)=(6)^2+1=37[/tex]

Therefore:

[tex](f\circ g)(10)=37[/tex]

Our answer is A.

Answer:

Step-by-step explanation: 37

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4 + 3x + 3x + 14 + 90 = 180 , simplify left side

108 + 6x = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Then

∠ A = 4 + 3x = 4 + 3(12) = 4 + 36 = 40° → A

Answer:

The relationship or pattern between the month and the daylight hours is that the winter months tend to have fewer daylight hours while the summer months tend to have more daylight hours.

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Hope that answered your question.

Answer:

C

Step-by-step explanation:

It is C because members in the set C can be found in the universal set (U)

Answer:

5/12

Step-by-step explanation:

make common denominater which is twelve 8 becomes 24 -9 becomes -21

Answer:

5/12

because we first need to find the equal denominator