Lawana is making cone-shaped hats 4 inches in diameter, 6.5 inches tall, with a slant height of 6.8 inches for party favors. Find each measure to the nearest tenth.

a. the volume of candy that will fill each cone

Answer:

no./0=undefined

0/no.=zero

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

2 2/9

Step-by-step explanation:

5/6 ➗3/8

We can use the reciprocal.

So, 5/6 * 8/3 = 40/18.

40/18 can be simplified to 20/9 or 2 2/9

\({\tt \leadsto 4 \dfrac{4}{5} \div \dfrac{3}{5} \: \: of \: \: 5 + \dfrac{4}{5} \times \dfrac{3}{10} - \dfrac{1}{5}} \)

\(\:\)

As we know that the BODMAS is the rule used here. It denates 'Brackets', 'Of', 'Division', 'Multiplication', 'Addition', 'Subtraction'. So, first we should do the brackets sums. But it's not given in this statement. Ao, first we should go for division, because of denotes multiplication which comes later. Then, we should multiply the fractions, then addition later on subtraction.

\(\:\)

\({\tt \leadsto \dfrac{24}{5} \div \dfrac{3}{5} \times \dfrac{5}{1} + \dfrac{4}{5} \times \dfrac{3}{10} - \dfrac{1}{5}} \)

\({\tt \leadsto \dfrac{24}{5} \div \dfrac{3}{5} = \dfrac{24}{5} \times \dfrac{5}{3}}\)

\({\tt \leadsto \dfrac{24 \times 5}{5 \times 3} = \dfrac{120}{15} = \dfrac{8}{1}}\)

\({\tt \leadsto \dfrac{8}{1} \times \dfrac{5}{1} = \dfrac{40}{1}}\)

\({\tt \leadsto \dfrac{40}{1} + \dfrac{4}{5} \times \dfrac{3}{10}}\)

\({\tt \leadsto \dfrac{40}{1} + \cancel \dfrac{12}{50} = \dfrac{40}{1} + \dfrac{6}{25}}\)

LCM of 1 and 25 is 25.

\({\tt \leadsto \dfrac{40 \times 25}{1 \times 25} + \dfrac{6}{25} = \dfrac{1000}{25} + \dfrac{6}{25}}\)

\({\tt \leadsto \dfrac{1000 + 6}{25} - \dfrac{1}{5} = \dfrac{1006}{25} - \dfrac{1}{5}}\)

LCM of 25 and 5 is 25.

\({\tt \leadsto \dfrac{1006}{25} - \dfrac{1 \times 5}{5 \times 5}}\)

\({\tt \leadsto \dfrac{1006}{25} - \dfrac{5}{25} = \dfrac{1001}{25}}\)

\({\tt \leadsto \dfrac{1001}{25} = \boxed{\tt 40 \dfrac{1}{25}}}\)

\(\Huge\therefore\) The final answer of the sum is \({\tt 40 \dfrac{1}{25}}\).

━━━━━━━━━━━━━━━━━━━━━━

\( \bf \underline{More \:to\: know :-} \\ \)

BODMAS refers to

B denotes Brackets

O denotes 'OF' (Multiplication)

D denotes Division

M denotes Multiplication

A denotes Addition

S denotes Subtraction

As n increases, the denominator increases, causing the standard deviation to decrease.

Assuming that the sample is selected randomly and independently from the population, the standard deviation of the sampling distribution of the sample proportion will decrease as the sample size is increased from 100 to 400.

This is because as the sample size increases, the sample proportion becomes a more accurate estimate of the population proportion, and the variability or dispersion of the sample proportion around the true population proportion decreases. This can be seen mathematically using the formula for the standard deviation of the sampling distribution of the sample proportion, which is:

σp = sqrt[p(1-p) / n]

where p is the population proportion and n is the sample size. As n increases, the denominator increases, causing the standard deviation to decrease.

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Answer: 1/8

Step-by-step explanation:

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

P2, P3, P1 is a safe sequence according to the banker's algorithm.

The banker's algorithm gets its name from the fact that it determines whether or not a person should be granted a loan amount in order to assist the bank system in securely simulating resource allocation. In this part, we'll go through the Banker's Algorithm in depth. The Banker's Algorithm is primarily used in the banking system to avoid stalemate. It assists you in determining whether or not a loan will be granted. This procedure is used to assess the allocation for securely replicating the maximum amount available for all resources.

Here,

According to the banker's algorithm, the sequence P2, P3, P1 is secure.

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The correct answer is:

greater than zero for all values of x.

Probability is a way of evaluating how likely something is to happen. Several things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.  One is the probability of every event in a sample space.

Now in the given question ,

A probability density function (PDF) of a continuous random variable x is a function that describes the relative likelihood of x taking on different values in a continuous range. The PDF is defined such that the area under the curve between any two values a and b represents the probability of x being in that range, i.e., P(a ≤ x ≤ b).

Since probabilities are non-negative, the PDF of a continuous random variable must also be non-negative. That is, f(x) > 0 for all values of x. This condition ensures that the area under the curve is non-negative, which is necessary for it to represent a valid probability distribution.

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Answer:

y = \(\frac{2}{3}\) x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y - 2 = \(\frac{2}{3}\) (x + 9) ← distribute parenthesis by \(\frac{2}{3}\)

y - 2 = \(\frac{2}{3}\) x + 6 ( add 2 to both sides )

y = \(\frac{2}{3}\) x + 8 ← in slope- intercept form

Answer:

\(y=\frac{2}{3}x+8\)

Step-by-step explanation:

Solve for y and expand \(\frac{2}{3} (x+9)\) :

\(y-2=\frac{2}{3}(x+9)\\\\y=\frac{2}{3}(x+9)+2\\\\y=\frac{2}{3}x+ 6+2\\\\y=\frac{2}{3}x+8\)

The t-statistic is 0 based on regression equation.

To compute the missing value, we need to use the regression equation: y = mx + b. We know that the adjusted r squared is 0.4, so the coefficient of determination is 0.4. This means that 40% of the variation in y can be explained by the variation in x.

We also know that the mean residual sum of squares is 9.6, which is the average of the squared differences between the predicted values and the actual values.

Using these values, we can find the regression equation:

y = mx + b
0.4 =\(slope of regression^2 * variance of x / variance of y\)

Since the variance of x is 1.67 and the variance of y is unknown, we can solve for the slope of regression:

slope of regression = \(\sqrt{(0.4 * variance of y / 1.67) }\)

Next, we can use the slope of regression to find the missing value:

y = mx + b
0 = slope of regression * 0 + b
b = 0

Therefore, the regression equation is:

y = slope of regression * x

Using the remaining data points, we can find the slope of regression:

(0,0) -> (1,0): slope = 0 / 1 = 0
(1,0) -> (2,0): slope = 0 / 1 = 0
(2,0) -> (3,-?): slope = (-?) / 1 = -slope of regression

Since we know that the slope of regression is -2, we can solve for the missing value:

(-?) / 1 = 2
-? = 2
? = -2

Therefore, the missing value is -2.

To find the t-statistic used to test the null hypothesis that the slope of regression is equal to -2, we need to use the following formula:

t = (slope of regression - hypothesized slope of regression) / standard error of slope

The standard error of slope is given by:

SE = \(\sqrt{(mean residual sum of squares / (n - 2) / variance of x) }\)

Using the values given in the problem:

SE = \(\sqrt{(9.6 / (3 - 2) / 1.67)}  = \sqrt{(9.6 / 1.67)}\) = 2.57

Therefore, the t-statistic is:

t = (-2 - (-2)) / 2.57 = 0

The t-statistic is 0.

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Answer:

C. 333.14

Step-by-step explanation:

Both the basketball and baseball has got the shape of a sphere. So that;

volume of a sphere = \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

where r is the radius

i. Volume of the baseball = \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

                           =  \(\frac{4}{3}\) x \(\frac{22}{7}\) x \((9.25)^{3}\)

                           = 3315.5655

volume of the baseball = 3316.57 cube inches

ii. Volume of the basketball =  \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

                            = \(\frac{4}{3}\) x \(\frac{22}{7}\) x \((9.55)^{3}\)

                            = 3649.8372

Volume of the basketball = 3649.84 cube inches

The required difference = volume of basketball - volume of baseball

                                  = 3649.84 - 3316.57

                                  = 333.27 cube inches

The difference of the volumes of the basketball and baseball is 333.27 cube inches.

a) The variable x is the average distance of Venus from the sun.

b) The equation for the given condition,

⇒ ⇒ 57.9 = 3.8 + x/2

c) The average distance of Venus from the sun = 108.2 million kilometers.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The average distance of Mercury from the sun = 57.9 million kilometers

And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.

Now,

Since, The average distance of Mercury from the sun = 57.9 million kilometers

And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.

Let the average distance of Venus from the sun = x

So, We can formulate;

⇒ 57.9 = 3.8 + x/2

Solve for x as;

⇒ 57.9 = 3.8 + x/2

⇒ 57.9 - 3.8 = x/2

⇒ x/2 = 54.1

⇒ x = 54.1 × 2

⇒ x = 108.2

Thus, The average distance of Venus from the sun = 108.2 million kilometers.

Therefore, a) The variable x is the average distance of Venus from the sun.

b) The equation for the given condition,

⇒ ⇒ 57.9 = 3.8 + x/2

c) The average distance of Venus from the sun = 108.2 million kilometers.

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The measure of the radius of the hexagon rounded to the nearest inch is 14 inches.

The problem presents a hexagon with a central angle of 60º, and the task is to calculate its radius. To do so, we can use the trigonometric relationship between the radius, apothem, and an angle. The apothem is a line segment from the center of a polygon perpendicular to one of its sides. For a regular hexagon, the apothem length is equal to the radius, which we want to find.

The trigonometric relationship for this case is cos(30) = a/c, where a is the apothem and c is the radius. By rearranging the equation to solve for c, we get c = a/cos(30).

Substituting the value of 12 inches for the apothem, we get c = 12/cos(30). Using a calculator, we can find that cos(30) = 0.866, so c = 12/0.866 = 13.855 inches.

To round to the nearest whole number, we get c = 14 inches.

Correct Question :

A regular hexagon is shown. What is the measure of the radius, c, rounded to the nearest inch? use the appropriate trigonometric ratio to solve. 6 in. 10 in. 14 in. 24 in.

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Answer:

length = 15 feet.

Step-by-step explanation:

This paper is 15 feet across on any side. Who will deliver this monster?

Area = s^2 where s is the length of 1 side.

Area = 225 feet^2  (You sure this isn't inches).

s^2 = area

s^2 = 225        Take the square root of both sides of the equation.

sqrt(s^2) = sqrt(225)

s = 15

Answer:

12

Step-by-step explanation:

84/7 is 12, so she was going 12 mph

Answer: 10º

Step-by-step explanation:

You add 92 with 78, which will give you 170. Then, you subtract 180 with 170 which gives you 10º

Answer:

a. \(-\frac{23}{20} , -1\frac{3}{20} , -1.15\)

b. \(\frac{5}{24}\)

c. \(-\frac{1}{2} , -.5\)

d. \(\frac{19}{15} , 1\frac{4}{15}\)

e. \(\frac{53}{56}\)

f. \(-\frac{25}{18}\)

Step-by-step explanation:

Answer:

-0.9a - 2.8b

Step-by-step explanation:

You subtract 0.7a and 1.6a

You subtract 0.4b and 3.2b

Answer:

Soup B

Step-by-step explanation:

Soup A = 5 grams sodium = 12 cups

Soup B = 8 grams of sodium = 13 cups

Find the unit rate, so, soup B has more sodium.

I hope this helps.

Also, next time can you write the question entirely?

Systematic sampling and cluster sampling are examples of probability sampling methods used in human research. These methods are employed to ensure that each participant in the population has a known, non-zero chance of being selected, which helps in obtaining representative samples and drawing more accurate conclusions.

Systematic sampling and cluster sampling are both examples of probability sampling methods used in human research.

Probability sampling methods involve randomly selecting participants from a larger population, giving each individual an equal chance of being selected.

Systematic sampling involves selecting every nth participant from a list of the population, while cluster sampling involves dividing the population into clusters or groups and then randomly selecting entire clusters to include in the study.

These methods are considered to be more representative and unbiased than non-probability sampling methods, which do not involve random selection and may not accurately reflect the characteristics of the population.

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Answer:

D

Step-by-step explanation:

5x3 is 15 and 15 minus 11 is 4

Tt would take 15 minutes for there to be exactly 60 gallons in the hot tube.

Proportion can be defined as the mathematical comparison of two numbers.

It is also known as an equation defining that the two given ratios are equivalent to each other.

From the information given, we have the following deductions;

To determine the time taken for 60 gallons to be left in the hot tube, we have to subtract the number from the total number of gallons, we have;

= 150 - 60

Find the difference

= 90 gallons

Now,

If 6 gallons are drained in 1 minute

Then 90 gallons are drained in x minutes

cross multiply

x = 90/ 6

x = 15 minutes

Thus, it would take 15 minutes for there to be exactly 60 gallons in the hot tube.

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The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.

The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.

In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.

Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.

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The domain of a function is the set of all possible inputs for the function.

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,1],{y|y≤1}

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

f(x) = 1 - x²

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

f(x) = 1 - x² is defined for all Real values of x and therefore the domain is all Real values (R).

x² has a minimum value of 0 (for x ∈ R)

therefore

−x² has a maximum value of 0

and

−x² + 1 = 1 − x² has a maximum value of 1.

Hence, the domain of a function is the set of all possible inputs for the function,

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,1],{y|y≤1}

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Answer:

option. c. 720°

.....................

Answer:

720degrees

Step-by-step explanation:

Answer:

B Next, set the string length to be more than half of AB.

Step-by-step explanation:

Use a compass to draw a circle of any radius less than, with vertex B as the center.

Steps for drawing angle bisector of ∠ ABC.

Step 1. Draw any angle ABC

Step 2. Draw a circle using a compass of any radius less than AB, with vertex B as the center. Then the arc will cut on AB and BC such that say point P on AB and point Q on BC.

Step 3. Now take measure more than AP or BQ

Step 4. Cut the arcs using a compass on point P and point Q. You will get the intersection point.

Step 5. From that point say S draw a line to B. You will have SB, that is the angle bisector of angle ABC

A triangle has 3 medians and 3 altitudes. The outer angle of a triangle is equal to the sum of the opposite angles inside it. ∠ACD = ∠A + ∠B. Total Angle Properties: The sum of the three angles of the triangle is 180 °.

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