Find value of x. round answer to nearest tenth.

-5x + 42 = -8

-42 -42

-5x = -50

-5 -5

x = 10

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

Answer:  24.75

Step-by-step explanation:

Answer:

x/4 + 16

Step-by-step explanation:

to  add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4

since 16 x 4/4 have the same deniomanator add them by adding the numorators

do the multiplications in 16X4 + x

= x/4 + 16

hopes this help!

Answer:

0.8906 ( 4 decimal places)

Step-by-step explanation:

With an equal probability of landing in either blue or red, then

Probability of success, p = 0.5

Number of trials, n = 6

Probability of landing on red atleast twice Can be obtained using a cumulative binomial probability ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x ≥ 2) = p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6)

Obtaining the individual probabilities and summing them up or we could use a cumulative probability option on either a calculator, excel or an online binomial probability distribution.

Using an online binomial probability calculator :

P(x ≥ 2) = 0.890625

P(x ≥ 2) = 0.8906 ( 4 decimal places)

Answer:

12 dollars

Step-by-step explanation:

100%-15%=85%

68÷85%=80

The original price was 80 dollars.

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

Probabilities are used to determine the chances of an event. The true statements from the 5 options are:

Given that:

[tex]Die =\{1,2,3,4,5,6,7,8\}[/tex]

[tex]Number = \{1,2,5,7,8\}[/tex]

The possible outcomes are:[tex]S = \{(1,1),(1,2),(1,5),(1,7),(1,8),(2,1),(2,2),(2,5),(2,7),(2,8),(3,1),(3,2),(3,5),(3,7),(3,8)\\(4,1),(4,2),(4,5),(4,7),(4,8),(5,1),(5,2),(5,5),(5,7),(5,8),(6,1),(6,2),(6,5),(6,7),(6,8),\\(7,1),(7,2),(7,5),(7,7),(7,8),(8,1),(8,2),(8,5),(8,7),(8,8)\}[/tex]

The sum of the outcomes are:

[tex]S = \{2,3,6,8,9,3,4,7,9,10,4,5,8,10,11,5,6,9,11,12,6,7,10,12,\\13,7,8,11,13,14,8,9,12,14,15,9,10,13,15,16\}[/tex]

Rearrange

[tex]S = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,\\12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(S) = 40[/tex]

Next, we test the options

(1) The game is unfair

The question implies that the eight sided die is fair. This means that the game is fair.

Option (1) is false.

(2) Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]

The multiples of 3 in the sample space are:

[tex]3's = \{3,3,6,6,6,9,9,9,9,9,12,12,12,15,15\}[/tex]

[tex]n(3's) =15[/tex]

The probability is then calculated as:

[tex]P(3's) = \frac{n(3's)}{n(S)}[/tex]

[tex]P(3's) = \frac{15}{40}[/tex]

Simplify

[tex]P(3's) = \frac{3}{8}[/tex]

Option (2) is true

(3) Probability of even sum is [tex]\frac{1}{2}[/tex]

The even outcomes are:

[tex]Even =\{2,4,4,6,6,6,8,8,8,8,10,10,10,10,12,12,12,14,14,16\}[/tex]

[tex]n(Even) = 20[/tex]

The probability is then calculated as:

[tex]P(Even)= \frac{n(Even)}{n(S)}[/tex]

[tex]P(Even)= \frac{20}{40}[/tex]

Simplify

[tex]P(Even)= \frac{1}{2}[/tex]

Option (3) is true

(4) Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

The outcomes of a sum greater than or equal to 12 are:

[tex]Sum \ge 12 = \{12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(Sum \ge 12) = 11[/tex]

The probability is then calculated as:

[tex]P(Sum \ge 12) =\frac{n(P(Sum \ge 12)}{n(S)}[/tex]

[tex]P(Sum \ge 12) =\frac{11}{40}[/tex]

Option (4) is true

(5) Probability of a sum less than 10 is [tex]\frac{21}{40}[/tex]

The outcomes of a sum less than 10 are:

[tex]Sum < 10 = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9\}[/tex]

[tex]n(Sum < 10) = 22[/tex]

The probability is then calculated as:

[tex]P(Sum < 10) =\frac{n(P(Sum < 10)}{n(S)}[/tex]

[tex]P(Sum < 10) =\frac{22}{40}[/tex]

Option (5) is false

Hence, the true statements are: options 2, 3 and 4.

Read more about probabilities at:

https://brainly.com/question/20954641

Answer:

2.) The probability of getting a sum that is a multiple of 3 is 3/8

3.) The probability of getting a sum that is even is 1/2.

4.) The probability of getting a sum that is greater than or equal to 12 is 11/40

Explanation:

Answer:

I thinks its 80.

Step-by-step explanation:

Sorry if I'm wrong.

Answer:

What do you mean?

Step-by-step explanation:

i guess a skill I want to improve is algebra..?

Answer:

Division ➗

Step-by-step explanation:

it not good at division ➗

Answer:

D.

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

Acute is defined as an angle less than 90°. All of those angles are less the 90°.

Answer:

right triangle

Step-by-step explanation:

To test for a right triangle, use the Pythagorean theorem.

Let the legs, a and b, be the two shorter sides, and let the hypotenuse, c, be the longest side.

a² + b² = c²

a² + b² = 7.2² + 9.6² = 51.84 + 92.16 = 144

c² = 12² = 144

Since a² + b² = c², the triangle is a right triangle.

Answer:

169.56m^3

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

Find the price of the sweater by dividing 1.45 by 0.0725

1.45/0.0725

= 20

So, the sweater was $20

Answer:

72ft^2 is the answer hope it helps

Answer:

Step-by-step explanation:

Answer:

( x , y ) = ( 2 , 4 )

Step-by-step explanation:

Hope this helps!

Answer: D, 15.2

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 13^2 = 20^2

a^2 + 169 = 400

       - 169   -169

a^2 = 231

sqrt   sqrt

a = sqrt(231)

a = 15.198 = 15.2

Answer:

25 inches

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

75 = (1/2) x 6 x height

height = (75 x 2) / 6 = 25 inches

Answer:

153 batches

Step-by-step explanation:

Answer:

Squares have equal sides

Step-by-step explanation:

If LN is 46 then:

OM is also 46

PN is half of that so 23

ON and MN would be 32.53

Answer:

D. (2,5)

Step-by-step explanation:

Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.

Answer:

all of it

Step-by-step explanation:

Answer: 1, 2, 3, 4, 5

Step-by-step explanation:

Answer:

43.96

Step-by-step explanation:

c=2×πr

2×3.14×7

43.96

Answer:

21w

Step-by-step explanation:

Answer:the answer is a

Step-by-step explanation:

Answer:

you added 6

Step-by-step explanation:

how the number order goes.