HELP ME PLEASE THANKS

the probability that x falls between 65.75 and 68.75 is approximately 0.087 or 8.7%.

To find the probability that x falls between 65.75 and 68.75, we need to calculate the z-scores corresponding to these values and use the standard normal distribution.

The z-score is calculated using the formula:

z = (x - µ) / σ

where x is the value, µ is the population mean, and σ is the population standard deviation.

For 65.75:
z1 = (65.75 - 65) / 12 = 0.0625

For 68.75:
z2 = (68.75 - 65) / 12 = 0.2917

Using a standard normal distribution table or a calculator, we can find the probabilities corresponding to these z-scores.

P(0.0625 < z < 0.2917) = P(z < 0.2917) - P(z < 0.0625)

By looking up the values in the standard normal distribution table, we find that P(z < 0.2917) = 0.6159 and P(z < 0.0625) = 0.5289.

Therefore, P(0.0625 < z < 0.2917) = 0.6159 - 0.5289 = 0.087

Hence, the probability that x falls between 65.75 and 68.75 is approximately 0.087 or 8.7%.

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Answer:

2⋅(3x−2)

Step-by-step explanation:

Answer:

I'm sorry, but it is not clear what you are asking for. Can you please provide more information or a specific question?

The product standard deviation  control limits for the M observations are approximately 20.76 (LCL) and 44.51 (UCL).The none of the samples are out of control based on the given data.

To find the control limits for M observations and identify any samples that are out of control, to calculate the mean (x) and standard deviation (S) of the given data. The control limits are typically set at ±3 standard deviations from the mean.

Given the data: 36.3, 28.6, 32

Calculate the mean (x):

x = (36.3 + 28.6 + 32) / 3 = 97.9 / 3 = 32.6333

Calculate the standard deviation (S):

S = √((∑(Xi - x)²) / (n - 1))

= √(( (36.3 - 32.6333)² + (28.6 - 32.6333)² + (32 - 32.6333)² ) / (3 - 1))

= √((14.684 + 16.304 + 0.4056) / 2)

= √(31.3936 / 2)

= √(15.6968)

≈ 3.959

Calculate the control limits:

Upper Control Limit (UCL) = x + 3S

= 32.6333 + (3 ×3.959)

≈ 32.6333 + 11.877

≈ 44.51

Lower Control Limit (LCL) = x - 3S

= 32.6333 - (3 × 3.959)

≈ 32.6333 - 11.877

≈ 20.76

Identify samples that are out of control:

To determine if a sample is out of control, we compare the hardness measurements to the control limits.

The given data points are: 36.3, 28.6, 32.

Checking each data point:

36.3 is within the control limits (20.76 to 44.51).

28.6 is within the control limits (20.76 to 44.51).

32 is within the control limits (20.76 to 44.51).

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Answer:

D

Step-by-step explanation:

The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.

3(-3²) - 2(-3) + 1                     Negative * Negative = Positive

3(9) + 6 + 1

34

3(-1²) - 2(-1) + 1

3 + 2 +1

6

3(3²) -2(3) + 1

3(9) - 6 + 1

22

The correct option is (D) their responses

A fine orchestral performance will exhibit the skills of the musicians, their abilities to work as an ensemble, and how their responses to the conductor.

Singular nouns, which are used to refer to a single person, place, thing, or idea, are replaced by singular pronouns.

When referring to more than one person, place, thing, or idea, plural pronouns take the place of plural nouns.

The plural pronoun "their" was used earlier in the text, but the construction "he or she" does not match that usage. Only choice D addresses existing issues without introducing new ones. The other choices are wrong because they are grammatically incorrect.

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Responder:

Tienda de la ciudad

Explicación paso a paso:

Para obtener el precio unitario por caja:

Importe pagado / número de cajas.

Para cajas de 3 colores:

$ 258/2 = $ 129

Para las cajas de color /:

$ 440/5 = $ 88

$ 88 <$ 129

Por lo tanto, las cajas de colores son más baratas en la tienda de la ciudad.

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

=====================================================

Explanation:

We can rewrite 5 as 5s^0, since s^0 = 1 where s is nonzero.

Think of 2s as 2s^1

With those ideas in mind, the original polynomial turns into 5s^0 + 2s^1

Sorting the terms so that the largest exponent is first gets us the standard form 2s^1 + 5s^0

The largest exponent is the degree, so the degree is 1.

Side note: This trick only works for single variable polynomials.

Step-by-step explanation:

BCE+DCE=90

BCE WHICH IS 21

So, 21+DCE=90

GROUPING OF LIKE TERMS

DCE=90-21

DCE=69

Curved surface area of frustum is 1000.82 cm² and

Volume of frustum is 2756.754 cm³.

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum.

Frustum is a Latin word which means ‘piece cut off’. When a solid (generally a cone or a pyramid) is cut in such a manner that base of the solid and the plane cutting the solid are parallel to each other, part of solid which remains between the parallel cutting plane and the base is known as frustum of that solid.

Height of frustum = h = 30 cm

Diameter of top of frustum = 6 cm

Radius of top = R = 6/2 = 3cm

Diameter of bottom of frustum = 15 cm

Radius of bottom = r = 15/2 = 7.5 cm

Slant Height = l = √h²+ (r - R)²

                       ⇒ l = √30² + (7.5 - 3)²

                       ⇒ l = √900 + 20.25 = √920.25 = 30.34 cm

A) Curved surface area of frustum = π(r + R)l

                                                         = 3.1416 × (7.5+3) × 30.34

                                                         = 3.1416 × (10.5) × 30.34

Curved surface area of frustum = 1000.82 cm²

B) Volume of frustum = (πh/3)(r²+R²+r.R)

                                   = (3.1416 × 30/3)(7.5² + 3² + 7.5×3)

                                   = (31.416) × (56.25 + 9 + 22.5)

                                   = 31.416 × 87.75

Volume of frustum = 2756.754 cm³

Hence, the curved surface area and volume of given conical frustum are 1000.82 cm² and  2756.754 cm³ respectively.

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Answer:

C

Step-by-step explanation:

Correct me if i'm wrong-.

The slope of the tangent line to the graph of f(x) at the point (5,46) is 22.

The equation of the tangent line to the graph of f(x) at (5,46) is y = 22x - 109.

To find the slope of the tangent line at a specific point on a curve represented by the function f(x), we need to calculate the derivative of f(x) and evaluate it at that point. In this case, the function f(x) is given as f(x) = 3x^2 - 8x + 11.

To find the derivative, we apply the power rule for differentiation, which states that the derivative of \(x^n\) is n*\(x^(^n^-^1^)\). Taking the derivative of f(x), we get:

f'(x) = 6x - 8

Next, we evaluate the derivative at x = 5, which gives us:

f'(5) = 6(5) - 8 = 30 - 8 = 22

Therefore, the slope of the tangent line at the point (5,46) is 22.

To find the equation of the tangent line, we use the point-slope form of a line, which is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m represents the slope. Substituting the values, we have:

y - 46 = 22(x - 5)

Simplifying, we get:

y - 46 = 22x - 110

y = 22x - 110 + 46

y = 22x - 64

Therefore, the equation of the tangent line to the graph of f(x) at (5,46) is y = 22x - 64, where the slope (m) is 22 and the y-intercept (b) is -64.

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the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation

The graph of the linear inequality 350 ≥ 125 + 15x is attached below.

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.

If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.

Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.

15x + 125 <= 350

15x <= 225

x <= 15

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Answer:

33x+22

Step-by-step explanation:

The area of a rectangle is

A = l*w where l is the length and w is the width

A = 11(3x+2)

Distribute

   = 33x+22

Area of rectangle = Length * Width

⇛Area = 11(3x+2)

⇛Area = 33x + 22

The ratio StartFraction 14 Over 35 EndFraction is equivalent to the other three ratios, and the ratio that is different from the others is StartFraction 8 Over 20 EndFraction.

To determine which ratio is not equivalent to the others, we need to simplify each ratio to its lowest terms.

Give the following ratios :

\(2 / 5 = 6 /10 = 8 / 20 = 12 / 30.\)

- StartFraction 2 Over 5 EndFraction: This ratio is already in its simplest form.

- StartFraction 6 Over 10 EndFraction: We can simplify this ratio by dividing both the numerator and denominator by their greatest common factor (GCF), which is 2.

-StartFraction 6 Over 10 EndFraction = StartFraction 3 Over 5 EndFraction

- StartFraction 8 Over 20 EndFraction: We can simplify this ratio by dividing both the numerator and denominator by their GCF, which is 4.

StartFraction 8 Over 20 EndFraction = StartFraction 2 Over 5 EndFraction

- StartFraction 12 Over 30 EndFraction: We can simplify this ratio by dividing both the numerator and denominator by their GCF, which is 6.

StartFraction 12 Over 30 EndFraction = StartFraction 2 Over 5 EndFraction

Therefore, the ratios StartFraction 6 Over 10 EndFraction, StartFraction 8 Over 20 EndFraction, and StartFraction 12 Over 30 EndFraction are all equivalent to StartFraction 2 Over 5 EndFraction. The ratio that is different from the others is StartFraction 14 Over 35 EndFraction, which can be simplified by dividing both the numerator and denominator by their GCF, which is 7.

\(StartFraction 14 Over 35 EndFraction = StartFraction 2 Over 5 EndFraction.\)

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Answer:

x = - 3

Step-by-step explanation:

- x - 15 - 3x = x , that is

- 4x - 15 = x ( subtract x from both sides )

- 5x - 15 = 0 ( add 15 to both sides )

- 5x = 15 ( divide both sides by - 5 )

x = - 3

Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.

Answer:

The answer is 4.

Step-by-step explanation:

To find the mean absolute deviation of the data you provided, you need to find the mean first. You add all the points together to get 138. Then you divide that number by how many points there are which there are 6 points so you divide 138 by 6 to get 23. Then you calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Once you add up all the numbers to get 24, you divided them by how many points there are which is 6 again. You should get 4 in the end.

Hope that helps. =)

Answer:

x=9!

Step-by-step explanation:

Hope this helps :))

Median = 87.5 Sorry about the other one

Answer: 0.85^8 * 0.15^2

0.196%

Answer:

7 in

Step-by-step explanation:

volume of a rectangular prism = width x height x length

width x length = area of the base

the sea shell box

200 = width x length x 5

width x length = 200/5 = 40cm^2

rock box

280 = 40in^2 x height

height = 280/40 = 7 in

The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

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

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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Notice that the intersection between both functions on the positive values of x is near the line x=2. From the provided options, the closest to that value is 1.7

Then, the positive solution to f(x)=g(x) is closest to:

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

Answer:$6.87

Step-by-step explanation:

if you add them up you end up wit $6.87

Answer:

The perimeter of the spiral notebook is 14 inches

Step-by-step explanation:

The given parameters are;

The area of the rectangular binder cover, Aₓ = 80 in²

The area of the rectangular binder cover = 8 × The area of the spiral notebook, Aₙ

The length, l of the spiral notebook = 5 inches

Let w represent the width of the spiral notebook cover;

We have;

Aₙ = l × w = 5 × w

Aₓ = 80 = 8 × Aₙ

8 × Aₙ = 80

∴ 8 × 5 × w = 80

w = 80/(8 × 5) = 80/40 = 2

w - 2 inches

The perimeter, P, of a rectangle = 2 × length, l + 2 × width, w

∴ For the spiral notebook, we have, \(P_{Spiral \ notebook}\)  = 2 × 5 + 2 × 2 = 14

The perimeter of the spiral notebook, \(P_{Spiral \ notebook}\) = 14 inches.