Calculate the volume of the cone: 10 yd 3 yd
round to nearest tenth ​

SOLUTION

Answer = 95.5%

From this information given.

We have a mean value of 100 and a standard deviation value of 10

To obtain the range from 80 to 120.

This will be moving 2(S.D) to the left and 2(S.D) to the right of the mean.

From theory, values within 2S.D from the mean, represent 95.5% of the given data.

Therefore, the percent of individuals that would fall in the given range is

95.5%

Answer:

hmm are they options.

Step-by-step explanation:

if so I would say c

Answer:

v=pi×r^2×h so the answer is 452.16

Answer:

18%

Step-by-step explanation:

percentaje:

%= \((\frac{8260-7000}{7000}) (100)=(\frac{1260}{7000} )(100)=(0.18)(100)=18\)

I hope this help you

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

The parametric equations of a function are:

x = 4 cos θ

y = 3 sin θ

For angles in the interval:

Below we show the table of values for theta in increments of 10 degrees and the corresponding values of x and y:

This produces the following graph:

The graph was drawn from the upper points down to the left-bottom points, that is, in a counterclockwise direction.

The ellipse is centered at the origin and the length of the major axis is 4 and the length of the minor axis is 3.

Completing the full statement:

The graph of the parametric equations is the left half of an ellipse. The length of the major axis of the semi-ellipse is 4, the length of the minor axis is 3, and the center is the origin. The semi-ellipse is elongated horizontally.

Arrows are drawn on the semi-ellipse to indicate movement in a counterclockwise direction.

Let x be the number

80% of x = 36

Multiply both-side by 100

Divide both-side by 80

The number is 45

Answer:

400 m walking

Step-by-step explanation:

sum the parts of the ratio , 2 + 13 = 15 parts

divide the distance covered by 15 to find the value of one part of the ratio.

3000 m ÷ 15 = 200 m

then

2 parts = 2 × 200m 400 m

400 m covered by walking

Answer:

convert the lengths to meters

10dm=1m

1dm=0.1m

hence, firs ribbon

2m+0.1m=2.1m

Second Ribbon

3m and 9dm

convert 9dm into Metres we get 0.9m

hence, 3m+0.9m=3.9m

Third Ribbon

6m+0.4m=6.4m

Answer:

What equation?

Step-by-step explanation:

The value best line fit can be obtained by putting x= 15 in the given equation as shown below.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We do not have any equation.

Let us consider the Equation as

3x + 5y= 27

Now, for x= 15 the value for y will be

3(15) + 5y= 27

45 + 5y = 27

5y = 27 - 45

5y = -15

y= -3.6

Similarly, in any put x=15 and find the line of best fit.

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Answer:

a)The 80% of confidence interval for the Population 'μ' is

(29.9121 ,33.4879)

b) Margin of error of mean '  'μ' is  =  1.7879

Step-by-step explanation:

step(i):-

Given random sample 'n' =28

The mean of the sample x⁻ =31.7 min

The standard deviation of the sample's' =7.2

Step(ii):-

80% of confidence intervals:

The 80% of confidence interval for the Population 'μ' is determined by

\((x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )\)

Degrees of freedom

γ = n-1 = 28-1 =27

\(t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314\)

The 80% of confidence interval for the Population 'μ' is determined by

\((x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )\)

\((31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )\)

(31.7 -1.7879 , 31.7 +1.7879)

(29.9121 ,33.4879)

b)

Margin of error of mean is determined by

\(M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }\)

\(M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }\)

Margin of error =1.7879

Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

Answer:

502.5pi or 1578.1415

Step-by-step explanation:

find area of one triangle (BH divided by 2), then multiply it by two since there are two, then find area of circle(pir^2),  divide in half because it is a semi-circle, add the areas together

Answer:

\(8x-38\)

Step-by-step explanation:

\(3(x-6)+5(x-4)\\3x-18+5x-20\\3x+5x-18-20\\8x-38\)

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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The length of line segment IG of the circle using the chord-chord power theorem is 6.

Chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

Line segment FG = 12

Line segment GH = 4

Line segment GJ = 8

Line segment IG = ?

Now, usig the chord-chord power theorem:

Line segment FG × Line segment GH = Line segment GJ × Line segment IG

Plug in the values:

12 × 4 = 8 × Line segment IG

48 = 8 × Line segment IG

Line segment IG = 48/8

Line segment IG = 6

Therefore, the line segment IG measures 6 units.

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Answer:

172

Step-by-step explanation:

Formula to find the nth term =

a+(n-1)d

2+(35-1)*5

= 2+170

= 172

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

A = (3.14) (9)^2

A= (3.14)(81)

A= 254.34 sq ft

The equation of profit will be P = -600p² + 28,000p - 250,000. Then the maximum profit is $ 76,667 at a maximum profit price $ 23.33.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

The expense function for a widget is E = -3,000p + 250,000.

The revenue function is R = -600p² + 25,000p.

Then the profit equation is in simplified form (P =  R- E).

P = (-600p² + 25,000p) - (-3,000p + 250,000)

P = -600p² + 25,000p + 3,000p - 250,000

P = -600p² + 28,000p - 250,000

Then the maximum profit will be

Differentiate P with respect to p, then we have

P' = -1,200p + 28,000

For maximum profit P" < 0, P' = 0. Then we have

P" = -1,200

P" < 0

Then we have

                         P' = 0

-1,200p + 28,000 = 0

                 1,200p = 28,000

                          p = 23.33

Then the profit will be

P = -600(23.33)² + 28,000(23.33) - 250,000

P = -326,573.34 + 653,240 - 250,000

P = 76,666.67

P ≅ 76,667

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Answer:

large box: 18.75

small box: 13.5

Answer:

4.75x + 14.40y ≥ 700

Step-by-step explanation:

Given:

Plant cost = $4.75

Shrub cost = $14.40

Number of plant = 80

Number of shrub = 25

Total cost = $700

Find:

Inequality

Computation:

Number of plant = x

Number of shrub = y

4.75x + 14.40y ≥ 700

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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Answer:

2x(7×3)+(7×6)+(3×6)= 162ft

The option that doesn't describe slope is A. A line joining points.

Slope is determined by dividing the vertical change by the horizontal change between two distinct points on a line.

It is defined as the difference in y coordinate divided by the difference in x coordinate between two distinct points on the line.

A line's slope is a number that describes both its direction and its steepness. Slope is a measure of change or a constant rate of change between two points.

As a result, from the options given, slope is not a line segment connecting two points, but rather the change in a line segment between two points.

It should be noted that the correct option is A.

The complete question is given below.

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Complete question

Which of the following does not describe slope?

A. A line joining points.

B. A constant rate of change

C. A proportional relationship

D. A measure of change

Answer:

this is false

Step-by-step explanation:

-2 is accually greater than 2

so, for this to be correct it would have to be:

\(0 > - 2\)

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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Answer:

6.2

Step-by-step explanation:

decimals are rational numbers so you could do 6.2