Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.

What is the volume?

Answer:

Approximately 95

Step-by-step explanation:

19 x 5 = 95

Answer:

142 506

Step-by-step explanation:

here the order does not matter

Then

we the number of sets is equal to the number of combinations.

Using the formula :

the number of sets is 30C5

\(C{}^{5}_{30}=\frac{30!}{5!\left( 30-5\right) !}\)

      \(=142506\)

There are 142506 ways in which 5 students can be selected out of 30 students.

The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.

By using the formula:

\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)

where;

\(\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}\)

\(\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}\)

\(\mathbf{^nC_r = 142506}\)

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To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

The answer is J.

Step-by-step explanation:

50% of 800 is 400.

125+275=400

Answer:

75.4m²

Step-by-step explanation:

The shape shown is a cylinder

The volume of a cylinder can be calculated using this formula:

\(V=\pi r^2h\)

where r = radius and h = height

The cylinder shown has a radius of 2m and a height of 6m

Using this information we plug in the values into the formula

\(V=\pi 2^26\\2^2=4\\4\pi =12.56637\\12.56637*6=75.39822\)

So the area of the cylinder is 75.39822

Our final step is to round to the nearest hundredth

The final answer would be 75.4m²

Answer:

2 donuts

Step-by-step explanation:

All we need to do to find the unit price is divide both values.

5.40 / 12 = $0.45 per donut

The question is asking how many donuts you can get for $1 so lets divide again.

1 / 0.45 = 2.22...

We know that the store won't cut the donut so we can only get 2 donates for a dollar. We can laos save the 10 cents we have over for taxes.

Best of Luck!

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Answer:

f(x) = 2(x + 3)² + 1 corresponds to graph C.

f(x) = -2(x + 3)² + 1 corresponds to graph D.

f(x) = 2(x - 3)² + 1 corresponds to graph A.

f(x) = -2(x + 3)² - 1 corresponds to graph B.

Step-by-step explanation: hope its right

Answer:thats map testing

Step-by-step explanation:

Answer:

C. 17

Step-by-step explanation:

Subtract 3 from 6 first in the parenthesis, then multiply that by 5.

3 x 5 = 15

Now add 2 to 15.

15+2=17

If one student is chosen at random, the probability that the student was a female and got 'A' is 0.38

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is expressed. To forecast the likelihood of events, probability has been introduced in mathematics.

The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will learn the likelihood of various outcomes in a random experiment.

The total number of outcomes that can occur should be known before calculating the likelihood that a specific event will occur.

Total numbers of students = 53

Total numbers of females = 34

Total numbers of females of A grades = 20

So probability = 20/53

                        = 0.38

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Answer: she can run \(6\dfrac54\) mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in \(\dfrac23\) of an hour = \(4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}\)

\(=\dfrac{29}{6}\) miles

Distance run by Jasmine in 1 hour = \(\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}\) miles.

\(=6\dfrac{5}{4}\)   miles.

Hence, she can run \(6\dfrac54\) mile sin 1 hour.

Step-by-step explanation:

answer is first option,,,

1. The null hypothesis is H₁: μ = 40 and the alternative hypothesis is H₁: μ ≠ 40

2. The level of significance, alpha (a), is 0.05

3. The test statistic is the z-statistic.

4. The rejection region consists of the values that fall outside the critical test statistic.

5. Tthe z-statistic is 2.88

6. We can reject the null hypothesis.

We are solving based on the provided steps:

Step 1. State the null and research hypotheses:

Step II. State the level of significance, alpha (a):

The level of significance, alpha (a), is 0.05, which relates to a 95% confidence level.

Step III. Select a sampling distribution and state the test statistic:

Since the sample size (n = 81) is greater than 30, we shall use the z-test.

The test statistic is the z-statistic.

Step IV. State the rejection region (critical test statistic):

Since we have a two-tailed test and an alpha level of 0.05, we divide the alpha value equally between the two tails, resulting in an alpha/2 (0.05/2 = 0.025).

To find the critical test statistic, we look up the z-value corresponding to the 0.025 significance level in the standard normal distribution table.

The rejection region consists of the values that fall outside the critical test statistic.

Step V. Then, we calculate the research test statistic to see if it falls in the rejection region:

The formula to calculate the z-statistic is:

z = (x-bar - μ) / (σ / √n)

Where:

Given:

x-bar = 44.1

μ = 40

σ = 12.8

n = 81.

Substitute the values:

z = (44.1 - 40) / (12.8 / √(81))

z = 4.1 / (12.8 / 9)

z = 4.1 / 1.422

z ≈ 2.88

Step VI: State your conclusion in terms of the problem:

After comparing the research test statistic to the critical test statistic from step 5, we find that the z-value of 2.88 falls in the rejection region.

In conclusion, we can reject the null hypothesis.

Hence,

a) Using the sample data from the 2010 GSS, there is evidence to suggest that the population mean workweek for workers is different from 40 hours per week.

b) The research test statistic, with a value of 2.88, falls within the rejection region when compared to the critical test statistic. So, the null hypothesis is rejected.

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Answer:

Step-by-step explanation:

Function 2 has a slope of 1.1 while function 1 has a slope of just 1.

Answer:

The mode would not increase or decrease.

Step-by-step explanation:

I say this because the mode is the value(s) in the data set that occur most frequently. 30 is the mode before adding 80 because 30 is in the set 3 times, more than the other values. Because 80 would be the only 80 in the set it would not become the mode once added. I hope this explained my reasoning and helped!

a) The mode of the list is 7

b) The median of the list is 7.

c) The mean is 5.4

d) The range is 7

What is the Mean, Mode and Median?

Mean: The mean is the average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of numbers in the set.

Mode: The mode is the most frequently occurring number in a set of numbers.

Median: The median is the middle value in a set of numbers when the set is sorted in ascending or descending order.

a) Mode: The mode of the list is 7, as it is the number that occurs most frequently (3 times).

b) Median: To find the median, the list must first be sorted in ascending order:

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The median of the list is 7.

c) Mean: The mean is found by adding up all the numbers in the list and dividing by the total number of items:

(3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8)/10 = 54/10 = 5.4

d) Range: The range is the difference between the largest and smallest numbers in the list:

8 - 1 = 7

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Answer:

9.68

Step-by-step explanation:

8 x .1 = 0.8  (10% as a decimal is .1)

8 + 0.8 = 8.8

8.8 x .1 = .88

8.8 + .88 = 9.68

Answer:

3.5 meters

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Use (X, Y)

X being the horizontal line

Y being the vertical line

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} ) \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1,6) and (9,-10)

The midpoint is

\(M = ( \frac{1 + 9}{2} \: , \: \frac{6 - 10}{2} ) \\ = ( \frac{10}{2} \: , \: - \frac{4}{2} )\)

We have the final answer as

Hope this helps you

The correct answer is (c) between 0 and infinity. This can be answered by the concept from F statistic.

The F statistic, which is used in ANOVA (Analysis of Variance), is calculated as the ratio of the variance between groups to the variance within groups. Since variance is always a positive value (it measures the spread or dispersion of data), the F statistic will always be greater than or equal to 0.

Furthermore, the F statistic follows an F-distribution, which is a continuous probability distribution that ranges from 0 to infinity. The F-distribution has a skewed shape, with most of the values clustered towards 0 and decreasing as the values get larger. This means that the F statistic can take on values anywhere between 0 and infinity, but it cannot be negative.

Therefore, when conducting an ANOVA, FDATA will always fall within the range of 0 to infinity.

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The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

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Answer:

1-i

Step-by-step explanation:

Hello,

you know that \(i^2=-1\), right?

so

\((5+2i)+(6i^2-3i+2)\\\\=5+2i-6-3i+2\\ \\=1-i\)

Thanks

Answer:

To maximize profits;

96 t-shirts should be produced

85 hats should be produced

The profit from the t-shirts is $348

The profit from the hats is $425

Step-by-step explanation:

The given information are;

The amount of profit per t-shirt = $4

The amount of profit per t-shirt = $5

The time it takes to print a t-shirt = 10 minutes

The time it takes to dry the printed t-shirt = 15 minutes

The time it takes to print a hat = 16 minutes

The time it takes to dry the printed hat = 12 minutes

The amount of time available for printing = 20 hours = 1200 minutes

The amount of time available for drying = 20 hours = 1200 minutes

Therefore, we have;

The total number of t-shirts that can be printed in 20 hours = (The amount of time available for printing)/(The time it takes to print a t-shirt)

The total number of t-shirts that can be printed in 20 hours = (1200 minutes)/(10 minutes)

The total number of t-shirts that can be printed in 20 hours = 120 t-shirts can be printed

The total number of t-shirts that can be dried in 20 hours = (The amount of time available for drying the t-shirts)/(The time it takes to dry a t-shirt)

The total number of t-shirts that can be dried in 20 hours = (1200 minutes)/(15 minutes) = 80 t-shirts can be dried

The total number of hats that can be printed in 20 hours = (The amount of time available for printing)/(The time it takes to print a hat)

∴ The total number of hats that can be printed in 20 hours = (1200 minutes)/(16 minutes) = 75 hats can be printed

The total number of hats that can be dried in 20 hours = (The amount of time available for drying the hats)/(The time it takes to dry a hat)

∴ The total number of hats that can be dried in 20 hours = (1200 minutes)/(12 minutes) = 100 hats

Therefore, given that only 80 t-shirts can be dried in 20 hours, we have;

The total number of t-shirts to be produced = 80 t-shirts

The profit made from the shirts is 80 × $4 = $320

Also, given that only 75 hats can be dried in 20 hours, we have;

The total number of t-shirts to be produced = 75 hats

The profit made from the shirts is 75 × $5 = $375

However, to maximize profit, we have;

Total time to print and dry the t-shirts = 1200 + 1200 = 2,400 minutes

Therefore, whereby X number of t-shirts can be produced in the total time, we have;

10·x + 15·x = 2,400 minutes

25·x = 2,400 minutes

x = 2,400 minutes/25 = 96 t-shirts should be produced

Profit = $4 × 96 = $348

Similarly, for the hat, we have;

16·x + 12·x = 2,400 minutes

28·x = 2,400 minutes

x = 2,400 minutes/28 ≈ 85 hats should be produced (rounding down)

Profit = $5 × 85 = $425.

The eccentricity of an infinitely long ellipse will be less than 1.

The ratio of the focus's distance from the ellipse's center and the ellipse's distance from one of its ends.

It is easy to comprehend how circular an ellipse is in relation to a circle when we consider its eccentricity. It also measures the ovalness of the ellipse and eccentricity close to one refers to the high degree of ovalness.

The eccentricity of an ellipse is always less than 1 i.e e < 1. The formula for the eccentricity of an ellipse is given by

Which can be written as

Where

e = Eccentricity of the ellipse

c = Distance of the focus from the center of the ellipse

a = Distance of the end of the ellipse from the center

As we know the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.

Therefore,

The eccentricity of an infinitely long ellipse will be less than 1.

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The second-order partial derivative of the function h(u, v) = u/(u + 16v) with respect to v, denoted as hvv (u, v), is computed as 32u/(u + 16v)^3.

To find the second-order partial derivative of h(u, v) with respect to v (hvv), we need to differentiate the function with respect to v twice. Let's begin by finding the first-order partial derivative of h(u, v) with respect to v, denoted as hv (u, v).

To compute hv, we use the quotient rule. The numerator of h(u, v) is u, and the denominator is (u + 16v). Applying the quotient rule, we get:

hv (u, v) = (u)'(u + 16v) - u(u + 16v)' / (u + 16v)^2

= u - u = 0.

Since hv (u, v) is equal to 0, there are no v terms left when we differentiate again. Therefore, the second-order partial derivative hvv (u, v) is also 0.

In conclusion, the second-order partial derivative of h(u, v) = u/(u + 16v) with respect to v is hvv (u, v) = 0.

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Answer:$0.53

9 pack  =   $4.77

1 pack   =   $?

9÷1=9, $4.77÷9=$0.53

Answer: $0.53

Step-by-step explanation: 9 divided by 1 is 9 and 4.77 divided by 9 is 0.53. ;)

Answer:

Step-by-step explanation:

ŷ = − 2.6s + 1.1.

residual value = Measured value - Predicted value

Measured value = actual y-coordinate of the point, y

Predicted value = value of y from the equation, y1

residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)

residual value = y - y1

For s = 1.3

     y  = 1.2

value of y from the equation, y1:

y1 = -2.6*(1.3) + 1.1

y1 = -3.38 + 1.1

y1 = -2.28

residual value = y - y1

residual value = 1.2 -  -2.28

residual value = 1.2 + 2.28

Since the predicted value is far less than the observed value, the line of best fit underpredicts the temperature change.

Answer:

3.48; The line of best fit underpredicts the temperature change.

Step-by-step explanation:

i took the test :)