There are 5 people from Arizona (A), 7 people from California (C), and 3 people from Nevada (N)
equally qualified for a job. There are three job openings for three different people. What is the probability that not all three people are from Arizona

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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An equation which represents a line which is perpendicular to the line y= –1/8x + 8 is: 4. y - 8x = 4.

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In Mathematics, the condition for perpendicularity of two lines is given by:

m₁ × m₂ = -1

Next, we would rewrite the given equation representing a line in standard form:

x + 8y = 8  

y = -x/8 + 1

Therefore, slope (m) = -1/8 (Not perpendicular).

x - 8y = 8

y = x/8 - 8

Therefore, slope (m) = 1/8 (Not perpendicular).

8x + y = 5

y = -8x + 5

Therefore, slope (m) = -8 (Not perpendicular).

y - 8x = 4

y = 8x + 4

Therefore, slope (m) = 8 (perpendicular).

Check:

m₁ × m₂ = -1

-1/8 × 8 = -1

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Answer: Its they second or last one but the second one sound more clear

Step-by-step explanation:

Answer:

\(\huge {\purple {a_{50} = 153}} \)

Step-by-step explanation:

Given sequence is 3n + 3

\( \implies a_n = 3n + 3\)

Plug n = 50

\( \implies a_{50} = 3(50) + 3\)

\( \implies a_{50} = 150 + 3\)

\(\huge {\red {\implies a_{50} = 153}} \)

We have ,

=> T_n = a + ( n - 1)d

=> T₅₀ = 3n + 3

=> T₅₀ = 3(50) + 3

=> T₅₀ = 150 + 3

=> T₅₀ = 153

Answer:

-12

Step-by-step explanation:

Answer:

The correct answer is 2.

Step-by-step explanation:

9514 1404 393

Answer:

  x = 19

  A = 30°

  B = C = 75°

Step-by-step explanation:

In an isosceles triangle, the angles opposite the congruent sides have the same measures.

  A = B

  3x +18 = 7x -58

  76 = 4x . . . . . . . . add 58-4x

  19 = x . . . . . . . . . divide by 4

Then the equal angles measure ...

  A = B = 3(19) +18 = 75

  C = 2(19) -8 = 30

Angles A, B, C measure 75°, 75°, 30°, respectively.

_____

Alternate solution

The sum of angles in a triangle is 180°, so you could write ...

  (3x +18) +(7x -58) +(2x -8) = 180

  12x = 228 . . . . . add 48

  x = 19 . . . . . divide by 12

The amount of coverage that you will have on the contents of your home would be = $68,750

The total amount of money that was insured for the house = $125,000

The percentage of insurance that was left for the contents of the house = 55% of insurance.

That is;

= 55/100 × $125,000

= 6875000/100

= $68,750.

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The width of the rectangle is 13 cm and the dimension is 26 cm x 13 cm

Given data ,

Let the length be L and width be W

Now , the width is 1/2 of the length, so we can write:

W = (1/2)L

The area of a rectangle is given by the formula:

Area = Length x Width

Given that the area is 338 square centimeters, we can write:

338 = L × W

Substituting W with (1/2)L, we have:

338 = L × (1/2)L

To solve this equation, we can multiply both sides by 2 to eliminate the fraction:

676 = L²

Taking the square root of both sides, we find:

L = √676

L = 26

So the length of the rectangle is 26 centimeters.

Substituting this value back into the equation for the width, we have:

W = (1/2)L

W = (1/2)(26)

W = 13

Hence , the dimensions of the rectangle are length = 26 centimeters and width = 13 centimeters

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The number of cereal bars each student got is 2.5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, five cereal bars are shared equally by 2 students.

Now, number of cereal bars each student got

= 5/2

= 2.5

Therefore, the number of cereal bars each student got is 2.5.

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Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Answer:

the answer is 480 cubic feet

The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

1 hour

Step-by-step explanation:

because i divided

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Step-by-step explanation:

multiply the first equation by 2 and then add both equations.

2x + 2y = 10

-2x + 4y = 8

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

0 + 6y = 18

y = 3

x + y = 5

x + 3 = 5

x = 2

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.

Step-by-step explanation:

There would be a 68% chance that the average blood pressure would be between 193 to 197.

The subset chosen from the larger set to make assumptions is known as a random sample. A range of values is a confidence interval.

We know that,

                       E   =   z ( α / 2 )  ×  σ / √n          →  1

As per the given question,

For 68% confidence,

                                z ( α / 2 )   =   0.9944

Substitute the values in 1,

E   =   z ( α / 2 )  ×  σ / √n

     =   0.9944  ×  20 / √100

     =   0.9944  ×  20 / 10

     =   0.9944  ×  2

E    =   1.9888   ≅   1.99

Let us consider,

⇒   x  -  E     <     μ     <     x  +  E

⇒   195  -  1.99     <     μ     <     195  +  1.99

⇒   193.01     <     μ     <     196.99

⇒   193     <     μ     <     197          ( ∵  193.01 ≅ 193 and 196.99 ≅ 197 )

⇒   μ   =   ( 193 , 197 )

Therefore, A 68% chance that the average blood pressure lies between 193 to 197. Hence Option b is correct.

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The complete question is

Blood pressure in a population of very at risk people has an expected value of 195 and a standard deviation of 20. Suppose you take a random sample of 100 of these people. There would be a 68% chance that the average blood pressure would be between Select one:

a.) 155 to 235

b.) 193 to 197

c.) 175 to 215

d.) 191 to 199

e.) 200 to 230

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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ok

[-6c(2) + 2cd + 3d - 4] / [6d - 3] Is this correct?

c = 1 d = 2

Substitution

[-6(1)(2) + 2(1)(2) + 3(2) - 4 ] / 6(2) - 3

[-12 + 4 + 6 - 4] / [12 - 3]

[-6] / [9]

-2/3

I think that was the equation

The solution is a fraction: -2/3

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

Symmetric

Step-by-step explanation:

In the stem and leaf plot above which represents the current sale prices of houses in dollars, we can observe the shape of the distribution seem like that of a bell shape. Most of the data values are concentrated towards the center compared to the concentration at both extremes.

This implies that most of the current sales price is centered close to the median price of roughly 49/50 dollars.

Therefore, the distribution of housing price can be described as roughly symmetric.

Answer: 6/15=2/5 of her collection

Step-by-step explanation: ]

She starts out with 2/3 of her collection on the player.

She listens to 3/5 of this; that is 3/5 (2/3) = (3*2)/(5*3)=6/15 This simplifies to 2/5.

Hope that helps! ;)

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation:

Answer:

222/2 = 111

8/2 = 4

74 /1

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

STEP 1: Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

\(7x+5-5x=12+2x-8\)

STEP 2: Subtract 5x from 7x.

\(2x+5=12+2x-8\)

STEP 3: Subtract 8 from 12.

\(2x+5=2x+4\)

STEP 4: Move all terms containing x to the left side of the equation.

\(5=4\)

STEP 5: Since 5≠4, there are no solutions.

No solution

Answer: 14

Step-by-step explanation:

300 minus 80 = 220

220 is the budget for the shirts so we divide 220 by 15 to get 14

Hope this helps!

Answer:14 shirts

Step-by-step explanation:300- 80 = 220

220/ 15 = 14.6  round 14.6 to 14 (because you cant buy half a shirt)

you can get 14 shirts