In a sample of 300 skittles taken from this 54 oz bag, 72 of the skittles were observed to be purple. What is the value of p-hat (the sample proportion)?.

Answer: B. In a very large? study, it was found that Treatment I resulted in? 93% success while Treatment II resulted in? 75% success.

Step-by-step explanation: The significance of a treatment, process or procedure in terms practicality lies in the logical assessment of such process as to whether it has a tangible or worthwhile impact. Based on the list of treatments or experiments above, the treatment which could be considered to have had a huge or significant impact is that which has 93% and 75% success rate on treatment 1 and 11 respe tivwly having considered that the study was said to be a very large one. Hence, going by large number of participant involved and a success rate with such high percentage, then the study could be said to possess practical significance.

The result that would be considered practically significant is: B. In a very large study, it was found that Treatment I resulted in? 93% success while Treatment II resulted in? 75% success.

A significant result is that in which the outcome cannot be based on chance. Such a result satisfies all conditions required and leaves no room for doubt.

The result obtained above can be deemed to be statistically significant because a very large percentage of the two treatments achieved the purpose for which they were engineered.

The success is very significant and cannot be attributed to mere chance.

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Answer:

-20513

Step-by-step explanation:

Answer:

it would be -20513

Step-by-step explanation:

have a good day!

Answer:

6 m

.006 km  

6,000 mm

Step-by-step explanation:

Let's look at some conversions real quick:

1 cm --> 10 mm (multiply cm by 10)

1 cm --> 0.00001 km (divide cm by 100000)

1cm --> 0.01 m (divide cm by 100)

Now that this is laid out, lets do these conversions for 600 cm.

Meters (m) = 600/100 = 6 meters

Kilometers (km) = 600/100000 = .006km

Millimeters (mm) = 600 * 10 = 6,000 mm

I hope this helps!!

- Kay :)

The inverse of the function f(x) = 2(x - 4)³ + 7 is g(x) = ∛[(x - 7) / 2] + 4.

A mathematical notion known as a function explains the connection between two sets of values known as the domain and the range. A function takes a value from the domain as an input, applies some logic to it, and returns a value in the range. Just one output value in the range corresponds to each input value in the domain. Functions can be described verbally or with mathematical symbols. They are employed throughout the mathematical discipline as well as in the sciences of physics, engineering, economics, and computer science.

The given function is f(x) = 2(x - 4)³ + 7.

Swap the variables, that is substitute x = y and vice versa as follows:

x = 2(y - 4)³ + 7

x - 7 = 2(y - 4)³

(x - 7) / 2 = (y - 4)³

Taking the cube root of both sides gives:

y - 4 = ∛[(x - 7) / 2]

y = ∛[(x - 7) / 2] + 4

Therefore, the inverse of f(x) = 2(x - 4)³ + 7 is g(x) = ∛[(x - 7) / 2] + 4.

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The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.

To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:

Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².

Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.

Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.

Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.

By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.

Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.

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To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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The boiling point of a solution containing 310.3 grams of NiCl3 in 55 mL of water is higher than the boiling point of pure water.

To calculate the boiling point of the solution, we need to consider the effect of the solute (NiCl3) on the boiling point of water. The boiling point elevation (∆Tb) can be calculated using the formula:

∆Tb = Kb * m

Where Kb is the molal boiling point elevation constant and m is the molality of the solution. To find the molality, we need to calculate the moles of solute (NiCl3) and the mass of the solvent (water).

Moles of NiCl3 = Mass / Molar mass

Molar mass of NiCl3 = 58.69 g/mol + (35.45 g/mol * 3) = 164.29 g/mol

Moles of NiCl3 = 310.3 g / 164.29 g/mol = 1.886 mol

Mass of water = Volume * Density

Mass of water = 55 mL * 0.997 g/mL = 54.835 g

Molality (m) = Moles of solute / Mass of solvent

Molality (m) = 1.886 mol / 0.054835 kg = 34.380 mol/kg

Now, we can use the molality to calculate the boiling point elevation (∆Tb). The molal boiling point elevation constant (Kb) for water is approximately 0.512 °C/m.

∆Tb = 0.512 °C/m * 34.380 mol/kg = 17.610 °C

Finally, we add the boiling point elevation (∆Tb) to the boiling point of pure water, which is 100 °C.

Boiling point of the solution = 100 °C + 17.610 °C = 117.610 °C

Therefore, the boiling point of the solution containing 310.3 grams of NiCl3 in 55 mL of water is higher than the boiling point of pure water.

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The most appropriate measure of spread for this data is standard deviation, because the boxplot is skewed to the right.

The most appropriate measure of spread for this data is standard deviation. The data is represented by a boxplot, which is a graphical representation of the data that shows the median, quartiles, and range of the data. In this case, the boxplot is skewed to the right, meaning that the data is not normally distributed. When the data is not normally distributed, the standard deviation is the best measure of spread to use. Standard deviation measures the spread of data by calculating the distance between each data point and the mean, and then taking the average of these distances. This allows us to accurately measure the spread of data that is not normally distributed. Therefore, standard deviation is the most appropriate measure of spread for this data.

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Answer:

\(x=5\)

Step-by-step explanation:

1. Approach

The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.

2. Simplify

Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,

\((x+1)(x-11)=-36\)

\((x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36\)

Simplify this expression by performing the multiplication and then combining like terms,

\((x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36\)

\(x^2+x-11x-11=-36\)

\(x^2-10x-11=-36\)

Inverse operations,

\(x^2-10x-11=-36\)

\(x^2-10x+25=0\)

3. Factor and solve,

Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,

\(x^2-10x+25=0\)

\((x-5)^2=0\)

Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since (\((x-5)^2\)) is just (\(x-5\)) multiplied by itself, thus, when solving, one can ignore the square part of the equation:

\((x-5)^2=0\)

\(x-5=0\)

Inverse operations,

\(x-5=0\)

\(x=5\)

Absolute value which means even negative integers are considered as positive

Answer:

square pyramid

Step-by-step explanation:

For this statistic to become a parameter, it would need to describe the characteristic (the percentage of older workers willing to move for their dream job) for the entire population of older workers in the US, rather than just the sample.

5) To generate a simple random sample of 20 employees out of the 85 total employees working at a candy bar factory, follow these steps:

1. Assign each employee a unique number from 1 to 85.
2. Use a random number generator or a table of random numbers to select 20 unique numbers within the range of 1 to 85.
3. The employees with the selected numbers are included in the sample.
Generating a simple random sample of 20 candy bars off the production line would be different because instead of selecting employees, you would select candy bars directly from the production line.

The method is similar, but the population you're sampling from is different.
6) To choose a simple random sample of 3 houses out of 10, Jerome can follow these steps:
1. Assign each house a unique number from 1 to 10.
2. Use a random number generator or a table of random numbers to select 3 unique numbers within the range of 1 to 10.
3. The houses with the selected numbers are the ones Jerome should interview.
If someone is not home at 10:00 am, Jerome should leave a note or contact information and request that the residents get in touch with him to schedule an alternative time for the interview.
7) The statistic in this scenario is the 15% of older workers who would move to another country to get their dream job.

It is a statistic because it is a numerical value that describes a characteristic of the sample (1659 US workers age 55 or older) and not the entire population of older workers in the US.

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Answer:

5.63cm

Step-by-step explanation:

to find length of side AB

12\(cos\)[62°]

=5.63cm

Answer:

Step-by-step explanation:

Volume=\(\frac{1}{3} \pi (3^{2} )(10)\)

             =\(30\pi\) cm³

Answer:

94.2cm³

Step-by-step explanation:

(see attached for reference)

the volume of a right cone is given as

V = (1/3) π r² h

where,

π = 3.14

r  = given as 3 cm

h = given as 10 cm

hence,

V = (1/3) π r³ h

= (1/3) (3.14) (3²)(10)

= 94.2cm³

Answer:

Its B

Step-by-step explanation:

Answer:

square root of 130

Step-by-step explanation:

9^2+7^2=c^2

81+49=c^2

130=c^2

C= square root of 130

Answer: 58.2765 feet

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

5 - 20

10 - 40

15 - 60

Answer:

15

Step-by-step explanation:

because if you double 20 two more times you get 60 so then had 5 three times you get 15

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Answer:

4

Step-by-step explanation:

Answer:

1/1/4<−2/2/4, because 1/1/4 is located to the right of −2/2/4 on the number line.

Step-by-step explanation:

Main Answer: The dot plots for tasks A+ and D show the mean time is approximately equal to the median time.

Supporting Question and Answer:

How do we determine if the mean time is approximately equal to the median time based on a dot plot?

To determine if the mean time is approximately equal to the median time based on a dot plot, we need to look at the distribution of the data and see if it is symmetric or skewed. If the data is roughly symmetric, with values distributed evenly on both sides of the median, then the mean and median will be close to each other, and the mean time will be approximately equal to the median time. Conversely, if the data is skewed, with more values on one side of the median than the other, then the mean and median will be further apart, and the mean time will not be approximately equal to the median time.

Body of the Solution:The dot plots of tasks for which the mean time is approximately equal to the median time are:

Dot plot A+: The median is around 25 minutes, and the mean is also around 25 minutes.

Dot plot D: The median is around 20 minutes, and the mean is slightly above 20 minutes.

Therefore, dot plots A+ and D have approximately equal mean and median times.

Final Answer:Thus, dot plots A+ and D have approximately equal mean and median times.

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The dot plots for tasks A+ and D show the mean time is approximately equal to the median time.

To determine if the mean time is approximately equal to the median time based on a dot plot, we need to look at the distribution of the data and see if it is symmetric or skewed. If the data is roughly symmetric, with values distributed evenly on both sides of the median, then the mean and median will be close to each other, and the mean time will be approximately equal to the median time. Conversely, if the data is skewed, with more values on one side of the median than the other, then the mean and median will be further apart, and the mean time will not be approximately equal to the median time.

Body of the Solution: The dot plots of tasks for which the mean time is approximately equal to the median time are:

Dot plot A+: The median is around 25 minutes, and the mean is also around 25 minutes.

Dot plot D: The median is around 20 minutes, and the mean is slightly above 20 minutes.

Therefore, dot plots A+ and D have approximately equal mean and median times.

Thus, dot plots A+ and D have approximately equal mean and median times.

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2y = x  -8 is the equation of line w.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Line v has an equation of y= – 2x+5.

also given Perpendicular to line v is line w

Slope of the perpendicular line w = -1/(Slope of the line v)

From Slope intercept form

y = mx + c

where m is the slope

Slope of the perpendicular line w = -1/ (-2)

The slope of the perpendicular line w = 1/2

Thus, the equation of a line:

y = 1/2x + c

Since, w passes through the point (6, – 5).

Thus,

-5 = 1/2 * 6 + c

c = -8

So, the equation of line y = 1/2x -8

Therefore, the Equation of line w is 2y = x  -8.

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The first function isn't decreasing over the largest interval, so the box in the wrong spot is the first one.

Here we have 3 cubic functions.

A function is decreasing when reading from left to right, the curve goes downwards.

Now, if you look at the graph, you can see that the interval where the function decreases is really small (the graph is small so I can't see the exact interval).

While if you look at g(x), you can see that, at least in the interval [-2, 2] the function is decreasing.

So the box in the wrong spot is the first box.

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Answer:

\(12w^7 z^6\)

Step-by-step explanation:

\(2w^5 z(6w^2 z^5)=(2)(6)w^5 w^2 z^5 z=12w^7 z^6\)

Answer:

each side has to be the same for the triangle to be congruent

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

The Solution:

Given:

Required:

Find the value of the given expression.

The value is:

Answer:

[option 4]

Answer:

A set is well-defined so that we can always tell what is and what is not a member of the set