How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same

Consequently, the solution of the given question of probability comes out to be  P(x<5.67 = 0.63

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - 40/5

x = the raw score

 population mean= μ 

Population standard deviation is σ

Hence,

x = 40  μ = 5.67, σ =5

Z = 5.67 - 40/5

z=0.37

Probability based on the Z-Table:

P(x<5.67 = 0.63

Consequently, the solution of the given question of probability comes out to be  P(x<5.67 = 0.63 .

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the middle value in a data set when the values are put in order

For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.

Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.

Answer:

Step-by-step explanation:

a.50%=[tex]\frac{1}{2}[/tex]

b.so 50% of 188 means 188·[tex]\frac{1}{2}[/tex]=94

answer is 94

Answer:

Answer:

CH = 22°

Step-by-step explanation:

We know that Arc AC and Arc CH both equal to 180°, therefore we can say;

AC + CH = 180°

158 + CH = 180°

CH = 180 - 158

CH = 22°

Hope this helps!

The required value of z is "i√6" to the given expression√(6/2 - 9) = z.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.

The expression is given in the question, as follows:

√(6/2 - 9) = z

We have to determine the value of z to the given expression.

As per the question, we have

⇒ √(6/2 - 9) = z

⇒ √(3 - 9) = z

⇒ √(- 6) = z

⇒ √(6 × -1 ) = z

⇒ (√6 × √-1 ) = z    [∵ imaginary number i = √-1 ]

⇒ (√6 × i ) = z

⇒ z = i√6

Therefore, the required value of z is "i√6" to the given expression.

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Answer:

A letter A

Step-by-step explanation:

Segment CE only

mypoints!

The perpendicular line AB is segment CE only. The correct option is A.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.

The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.

Therefore, the perpendicular line AB is segment CE only. The correct option is A.

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The relationship between xzw and wzv on the vertical angle is as follows:

∠ xzw + ∠ wzv = 180

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.

Therefore,

∠vzy ≅ ∠wzx(vertical angles)

Hence, the relationships between angles xzw and wzv  is as follows:

∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)

3x + 17 + x - 9 = 180

4x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 / 4

x = 43

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Step-by-step explanation:

number of men =12

time taken = 10 days

time taken to complete the work by 15 men = 12÷10=1.2

= 1.2 ×15 = 18

therefore, 18 days is taken to complete the work by 15 men

Answer:

5 ( or ) - 5

Step-by-step explanation:

12/3 = 4

240/4 = 60

m² + 35 = 60

m² = 60 - 35

m² = 25

m = - 5 ( or ) 5

Because,

( - 5 )² = - 5 * - 5 = 25

5² = 5 * 5 = 25

Answer:

[tex] \displaystyle A _{XYZ - \text{triangle}} = 24 {cm}^{2} [/tex]

Step-by-step explanation:

we have two right angle triangles

we want to figure out the area of XYZ triangle

we are given the base not the altitude (height) so we need to figure the height of XYZ to figure out the area of XYZ

in that case we can use Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that, c=5 and b=3 thus

substitute:

[tex] \displaystyle {3}^{2} + {a}^{2} = {5}^{2} [/tex]

simplify squares:

[tex] \displaystyle 9 + {a}^{2} = 25[/tex]

cancel 9 from both sides:

[tex] \displaystyle {a}^{2} = 16[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 4[/tex]

we have figured out the height of XYZ triangle

remember that,

[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} bh[/tex]

we have h=4 and b=9+3=12

substitute:

[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} \times 12\times 4[/tex]

reduce fraction:

[tex] \displaystyle A _{ \text{triangle}} = 12\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{triangle}} = 24[/tex]

hence,

the area of triangle XYZ is 24 cm²

Given:

A figure of a robotics project.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

The given figure contains a triangular prism and a cuboid.

The dimensions of the cuboid are 6 cm, 8 cm and 5 cm. So, the volume of the cuboid is:

[tex]V_1=length\times width\times height[/tex]

[tex]V_1=6\times 8\times 5[/tex]

[tex]V_1=240[/tex]

So, the volume of the cuboid is 240 cubic cm.

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of the base of the triangular prism whose base is 8 cm and height 4 cm, is:

[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]

[tex]B=16[/tex]

The volume of a triangular prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

[tex]V_2=16(5)[/tex]

[tex]V_2=80[/tex]

Now, the volume of the given figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=240+80[/tex]

[tex]V=320[/tex]

Therefore, the volume of the finished object is 320 cubic cm.

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

Answer:

y=-28

Step-by-step explanation:

-17-y=11

-y=11+17

-y=28

y=-28

Answer:

61.74%

Step-by-step explanation

Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.

Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.

Now the % of container A that is empty is

(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%

The function of the scenario is f(x) = 18.5(1.06)^x

From the question, we have the following parameters that can be used in our computation:

Initial value = $18.50

Rate = 6%

The function of the scenario is then represented as

f(x) = Initial value * (1  + rate)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 18.5(1 + 6%)^x

Evaluate

f(x) = 18.5(1.06)^x

This means that

x = 10

So, we have

f(10) = 18.5(1.06)^10

Evaluate

f(10) = 33.13

This means that

x = -15

So, we have

f(-15) = 18.5(1.06)^(-15)

Evaluate

f(-15) = 7.72

Hence, the price is $7.72

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Answer:

Part A: Two types of transformations: translation and reflection.

Part B: g(x)=f(x)+k

-1= -1+ k

k= -1+1=0

g(x)=f(x)+k

-1= 5+k

k= -1-5=-6

g(x)=f(x)+k

14= 14+k

k= 0

k= -6,0,-6,0

Part C: For horizontal translation, g(x)=f(x+2)

In case of vertical translation, g(x)=f(x)+10

Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.

Step-by-step explanation:

I thought. :') Ever since yesterday, and today. Hope this helps!

Answer:

[tex]t=75[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{5} t+2-2=17-2[/tex]

Lets solve for [tex]t[/tex].

Subtract 2 from 2.

[tex]\frac{1}{5} t=17-2[/tex]

Subtract 2 from 17.

[tex]\frac{1}{5} t=15[/tex]

Combine [tex]\frac{1}{5}[/tex] and [tex]t[/tex].

[tex]\frac{t}{5} =15[/tex]

Multiply both sides of the equation by 5.

[tex]\frac{t}{5}*5 =15*5[/tex]

[tex]t=75[/tex]

Answer:

easy just think thoroughly

Step-by-step explanation:

1 is A

2 is C

3 is B

4 is D

Answer:

2nd

Step-by-step explanation:

Answer: They are not proportional.

Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.

Answer:

-x-6

Step-by-step explanation:

-4x - 2 + 3x - 4​

Combine -4x and 3x  -x - 2 - 4​

Combine -2 and -4 -x - 6

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 2 + 3x - 4}[/tex]​

[tex]\underline{\underline{\huge\text{COMBINE the LIKE TERMS }}}[/tex]

[tex]\huge\text{= (-4x + 3x) + (-2 - 4)}[/tex]

[tex]\huge\text{-4x + 3x = \bf -1x}[/tex]

[tex]\huge\text{-2 - 4 = \bf -6}[/tex]

[tex]\huge\text{= \underline{\bf -1x - 6 }\huge\text{\textsf{\underline{\underline{\underline{or}}}}\underline{ \bf -x - 6 }}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \boxed{\bf -1x - 6} (also known as \boxed{\bf -x - 6})}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]{\huge\text{\frak{Amphitrite1040:)}}}[/tex]

Step-by-step explanation:

use Pythagoras theorem

[tex]b = \sqrt{h ^{2} - p ^{2} } [/tex]

Answer:

Speed of car in miles per minute = 0.8 miles per minute

Distance cover by car in 20 minutes = 16 miles

Step-by-step explanation:

Given:

Speed of car = 48 miles per hour

Time taken by car = 20 minutes

Find:

Speed of car in miles per minute

Distance cover by car in 20 minutes

Computation:

Speed of car = 48 miles per hour

1 hour = 60 minutes

So,

Speed of car = 48/60 miles per minute

Speed of car in miles per minute = 0.8 miles per minute

Distance cover by car in 20 minutes = 20 x Speed of car in miles per minute

Distance cover by car in 20 minutes = 20 x 0.8

Distance cover by car in 20 minutes = 16 miles

Answer:

C) The total fixed cost.

Answer:

I think it's either 1/2 or 1/3.

Answer:

15

Step-by-step explanation:

There is a formula for this it is,

B1+B2/2

B1= Base one or TA in this case

B2= Base two or NK in this case

You replace the values with the variable:

B1=12

B2=18

12+18/2 = 30/2= 15

OB=15

The midsegment of the trapezium OB is 15

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

OB = mid segment

Therefore, mathematically,

OB = 1 / 2 (AT + KN)

where

AT = 12

KN = 18

Therefore,

OB = 1 / 2(12 + 18)

OB = 30 / 2

OB = 15

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Answer:

B

Step-by-step explanation:

Answer:

the answer is B most likely

Answer:

3(x+5)x(x-6)

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Step-by-step explanation: