Consider the following 8 numbers, where one labelled x is unknown. 9 , 15 , 21 , x , 43 , 27 , 34 , 49 Given that the range of the numbers is 70, work out 2 values of x .

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

67.5

Step-by-step explanation:

I hope this helps!

the mean absolute deviation was 6.4, which was calculated by taking the absolute differences between each data point and the mean of the data, then adding them together and dividing by the number of shops.

The mean absolute deviation of a data set is the average of the absolute differences between each individual data point and the mean of the data. To calculate the mean absolute deviation, we first need to calculate the mean of the data set. The mean of this data set is 37, which is calculated by adding all of the items (32 + 26 + 43 + 38 + 46) and then dividing by 5 (the number of shops). We then take the absolute difference between each data point and the mean, which gives us 5, 11, 6, 1, and 9. The mean absolute deviation is then calculated by adding these absolute differences together and dividing by 5 (the number of shops), which gives us 6.4.

The mean absolute deviation of a data set is a measure of variability which is calculated by taking the average of the absolute differences between each individual data point and the mean of the data. In this particular data set, the mean absolute deviation was 6.4, which was calculated by taking the absolute differences between each data point and the mean of the data, then adding them together and dividing by the number of shops.

Mean of Data Set = (32 + 26 + 43 + 38 + 46) / 5

= 37

Absolute Differences between each data point and the mean = |32 - 37| = 5, |26 - 37| = 11, |43 - 37| = 6, |38 - 37| = 1, |46 - 37| = 9

Mean Absolute Deviation = (5 + 11 + 6 + 1 + 9) / 5

= 6.4

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The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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Answer:

y = -2x - 3

Step-by-step explanation:

Answer:

y=(10×10)÷(1-2) =N

Step-by-step explanation:

y -is the numerical angle of triangle

10×10because the triangle have a ten angle

1-2 cause the line of triangle

Answer:

x= 19/12, -41/12

Step-by-step explanation:

I'm guessing x is "t".

The quadratic formula is x=(-b+-sqrtb^2-4ac)/2a I know that this is hard to read sorry!

Plug in a, b, and c.

Oh yeah, first convert it to the form Ax^2+bx+c

so 6x^2-35=-11x

6x^2+11x-35=0

(-11+-sqrt11^2-(-4*6*35))/2*6

Simply: (-11+-sqrt 121+840)/12

(-11+-sqrt961)/12

(-11+-31)/12

-11+30=19

-11-30=-41

x= 19/12, -41/12

The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.

In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.

We have to determine the tangential and normal components of the acceleration when s = 10 m.

Speed (v) = 2s  

Motion is circular so, Radius of circle = 50m

Tangential acceleration = dv/dt

Tangential acceleration = d(2s) / dt

Tangential acceleration = 2(ds)/dt

Tangential acceleration = 2v

Tangential acceleration = 2(2s)

Tangential Acceleration = 4s

As given s = 10 m

Tangential acceleration = 4 x 10

Tangential acceleration  = 40 m/s^2

Normal acceleration = v^2/ r

Normal acceleration = 4s^2/r

Normal acceleration = {4 x 10^2}/50

Normal acceleration = {4 x 100}/50

Normal acceleration = 400/50

Normal acceleration = 8 m/s^2

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The complete question is:

A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle

The percentage of the markup in the amount is 12%

In this question, the figures are given as

Amount bought = 20500

Amount sold = 22960

These figures can be represented as

Initial amount = 20500

Final amount = 22960

The percentage of the markup is then calculated using the following markup equation

Markup percentage = (Final amount - Initial amount)/Initial amount * 100%

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

Markup percentage = (22960 - 20500)/20500* 100%

Evaluate

Markup percentage = 12%

Hence, the markup percentage is 12%

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There are 10 billion different arrangements of 7 boys and 3 girls around a table if there are no restrictions.

If there are no restrictions on the arrangement of the children around the table, we can use the formula for permutations with repetition:

n^r

where n is the number of children (boys + girls = 7 + 3 = 10) and r is the number of seats around the table (also 10).

So, the number of different arrangements possible is:

10^10 = 10,000,000,000

Therefore, there are 10 billion different arrangements of 7 boys and 3 girls around a table if there are no restrictions.

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Answer:

Option B is correct friend

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

Answer:

Eloy's pay is $167.50

Step-by-step explanation:

$8 x 8 hours = $64

$575 x 18% in commission = $103.5

$103.50 + $64 = $167.50

Answer:

23; 11 + 2t

Step-by-step explanation:

So let's start with the equation and then plug in the 6 hours:

Because we start with 11 dollars just to enter, our equation would start like this:

11 +

Also, 2 dollars for every hour. One hour could be represented as 1t, or just t:

11 + 2t (2 dollars for every t, every hour)

So now the equation is 11 dollars starting entry plus 2 dollars every hour

Now all we have to do is replace t with the number of hours:

11 + 2(6) = answer

11 + 12 = answer

23 = answer

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

The probability of selecting at least one defective item at random is 0.3017.

The probability of an event occurring at least once will be calculated as the complement of the probability of the event never occurring. You can use exponents to multiply the number of events that occurred when calculating this amount.

Defect rate = P(defect) = 0.05

Probability is defined as the required outcome divided by the total number of possible outcomes.

P( at least 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^7

P(none defective) = 0.95× 0.95 × 0.95 × 0.95 × 0.95× 0.95× 0.95=0.6983

P(at least one is defective) = 1 - 0.6983 = 0.3017

Therefore, probability of at least one defective item is 0.3017.

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Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

10 meters.

Step-by-step explanation:

The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.

90/9=10

The length of the pool is 10 meters.

Hope this helps!

If not, I am sorry.

The percentage of females who have a cholesterol level between 180 and 200 is about 17.74%.

Population: college students Distribution of cholesterol levels: Normal distribution

For males,Mean (μ) = 195

Standard deviation (σ) = 10

For females,Mean (μ) = 185

Standard deviation (σ) = 12

a. What were the cholesterol levels of the highest 5% of the males?

We need to find the cholesterol levels of the highest 5% of the males.In other words, we need to find the value such that the probability of a random variable being greater than that value is 0.05.Mathematically,P(X > u) = 0.05

Here, P represents probability of the random variable X being greater than u.The random variable X is the serum cholesterol level for males.Mean (μ) = 195

Standard deviation (σ) = 10Let u be the cholesterol level of the highest 5% males. Then, the probability of random variable X being greater than u is 0.05.Hence,P(X > u) = 0.05 ⇒ P(Z > (u - μ) / σ) = 0.05⇒ (u - μ) / σ = qnorm(0.05, 0, 1)≈ -1.645u = μ + σ × qnorm(0.05, 0, 1)= 195 + 10 × qnorm(0.05, 0, 1)= 195 + 10 × (-1.645)= 195 - 16.45= 178.55 ≈ 179

So, the cholesterol level of the highest 5% of the males was about 179.

b. What percentage of females would have a cholesterol level of less than 180?

We need to find the percentage of females who have a cholesterol level of less than 180.Let X be the serum cholesterol level for females.Mean (μ) = 185

Standard deviation (σ) = 12

We need to find P(X < 180)Hence,P(X < 180) = P(Z < (180 - μ) / σ)P(X < 180) = P(Z < (180 - 185) / 12)P(X < 180) = P(Z < -0.4167)Using R, P(Z < -0.4167) = 0.339

This implies, the percentage of females who have a cholesterol level of less than 180 is about 33.9%.

c. What percentage of females would have a cholesterol level between 180 and 200?

We need to find the percentage of females who have a cholesterol level between 180 and 200.Let X be the serum cholesterol level for females.Mean (μ) = 185

Standard deviation (σ) = 12

We need to find P(180 < X < 200)

Hence,P(180 < X < 200) = P((180 - μ) / σ < Z < (200 - μ) / σ)P(180 < X < 200) = P(-0.4167 < Z < 1.25)Using R, P(-0.4167 < Z < 1.25) = 0.5164 - 0.339 = 0.1774

This implies, the percentage of females who have a cholesterol level between 180 and 200 is about 17.74%.

Therefore, the percentage of females who have a cholesterol level of less than 180 is about 33.9%, and the percentage of females who have a cholesterol level between 180 and 200 is about 17.74%.

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Answer:

C

Step-by-step explanation:

The number of ribbon needs depends on the number of bows times 3 so

r= b x 3

Answer:

a) The floor of the room, each edge and the top of the table.

b) The edge of one side and one leg of the table.

c) The angle formed between the sides of the table and the angle between the legs of the table and its edges.

d)  The vertices of the top of the table.

e) These are same lines.

Step-by-step explanation:

An angle is the amplitude between the two lines. Plane is an object which consists of two dimensions and infinite points. The segment is a fragmented line. A ray is a line which a starting point and a direction.

A) Tres planos que surgen a partir de la mesa de mi casa son la superficie de la mesa, la superficie del suelo sobre el cual se apoya la mesa, y la superficie de la pared sobre la cual reposa la mesa.

B) Dos rectas de planos distintos pueden ser el borde de la mesa, por una parte, y la pared, por el otro.

C) Dos ángulos de un plano y dos de otro son el vértice de la mesa y el ángulo formado entre el borde de la misma y un vaso, por un lado, y el ángulo formado por una baldosa y la pata de la mesa y el ángulo recto formado por las líneas de una baldosa, por la otra.

D) Dos rayas pueden ser la línea a ras del suelo y la línea a ras de la mesa.

E) Dos semirrectas pueden ser ambas patas de la mesa.

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Answer:

a = 60°

60°, 60°, 120°, and 120°.

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.

Answer:

The circumference of a circle is calculated using the formula `C = 2πr`, where `r` is the radius of the circle. Since you have given the radius as 4 and asked to use 3.14 for π, we can calculate the circumference as `C = 2 x 3.14 x 4 = 25.12`.

The area of a circle is calculated using the formula `A = πr^2`, where `r` is the radius of the circle. Using the same values for π and r as before, we can calculate the area as `A = 3.14 x (4)^2 = 50.24`.

So, for a circle with a diameter of 8 and a radius of 4 (using 3.14 for π), its circumference is approximately **25.12** and its area is approximately **50.24**.

Answer:

y = 70 degrees

x = 11

Step-by-step explanation:

The side opposite x + 2 is equivalent so they will both be equal to 13.

To get the meaning of x, simply subtract 2 from 13 giving you x = 11.

Y is across from corner C, which is 70 degrees. These angles are equivalent to each other, meaning that angle y is also 70 degrees.

Hope this helps you :)

Answer:

x = 11

y = 70°

Step-by-step explanation:

x + 2 = 13

The lines on each side are corresponding.

11 + 2 = 13

Y is corresponding with the 70° corner.

That means the corresponding corner (y) is also 70°.

Answer: -5, 1

Step-by-step explanation:

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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the equation describes the pattern shown in the table is y = x² + 2x - 3 (option D)

Explanation:

To determine which of the equation describes the pattern shown in the table, we need to insert the values of x and confirm if we will get corresponding value of y in any of the equation.

Let's check the equations in the options: when x = -4, -2

a) y = x² – 11

when x = -4

y = (-4)² - 11

y = 16 - 11 = 5

when x = -2

y = (-2)² - 11

y = 4 - 11 = -7

equation is wrong

b) x² +3x -1

when x = -4

y = (-4)² -3(-4) - 1

y = 16 + 12 -1 = 27

when x = -2

y = (-2)² -3(-2) - 1

y = 4 + 6 -1 = 9

equation is wrong

c) y = x² – 1

when x = -4

y = (-4)² - 1

y = 16 - 1 = 15

equation is wrong

d) y = x² + 2x - 3

when x = -4

y = (-4)² +2(-4) - 3

y = 16 - 8 -3 = 5

when x = -2

y = (-2)² +2(-2) - 3

y = 4 - 4 - 3

y = -3

equation is right

e) y=x²-x-1

when x = -4

y = (-4)² -(-4) - 1

y = 16 +4 -1

y = 19

equation is wrong

Therefore, the equation describes the pattern shown in the table is y = x² + 2x - 3 (option D)