What is the relationship between the volume of a cone and a pyramid?

11/30 + 7/30 = 18/30

30/30 - 18/30 = 12/30

12/30 = 0.4

40% liked neither.

Answer:

percent of classmates looked liked neither of 'em=40%

Step-by-step explanation:

students who liked chocolate cake=11

students who liked white cake=7

students who didn't like either of it=30-18=12

percentage of ''=\(\frac{12}{30}\) ×100=40%

Answer:

A. 20 degrees

Step-by-step explanation:

All triangles have 180 degrees in total !

using that info,

100+60= 160

180-160 = 20

Answer:

315°

Step-by-step explanation:

Finding m∡DHE

Answer:

m∡DHE = 315°

Step-by-step explanation:

Angles around a point always add up to 360°.

⇒ m∡DHE = 360° - m∡ED

                  = 360° - 45°

                  = 315°

The slope of the line passing through the points (3, 4) and (5, 8) is 2.

We have,

To find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂), you can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case,

The points are (3, 4) and (5, 8).

Let's substitute these values into the formula:

slope = (8 - 4) / (5 - 3)

= 4 / 2

= 2

Therefore,

The slope of the line passing through the points (3, 4) and (5, 8) is 2.

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Answer: i think A

Step-by-step explanation:

Answer:

We've learned that the circumference is the distance around the circle and the diameter is the distance across the circle going through the center. ... To find the circumference given the diameter, you multiply the diameter by pi. To find the diameter given the circumference, you divide the circumference by pi.

Answer: 2 because of the constant proportionality

Step-by-step explanation: hope this helps!

Answer:

Step-by-step explanation:

Let the no. be x

3 times the no. will be 3x

adding 7 to 3 times the no. will be 3x + 7

the result is 66 so it will be 3x + 7 = 66

Hope this helps

plz mark as brainliest!!!!!

Answer:

the answer would be C. y = 3/4 x - 9

this line has the same slope => ¾

Answer:

25

Step-by-step explanation:

You need to 25 on both sides  for completing the square. It would give you the expanded form of (x - 5)².

Hope it helps.

;)

<3

Answer:

x = 12

Step-by-step explanation:

Combine like terms on both sides of the equation and simplify, isolating the variable on to one side of the equation:

6x + 18 = 90

6x = 72

x = 12

The most specific name for the figure is an isosceles trapezoid

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

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Answer: $160,000

Step-by-step explanation:

Given the following :

Earning per share (EPS) = $0.55

Number of outstanding shares = 200,000

Preferred dividend = $50,000

EPS = (NET INCOME - PREFERRED DIVIDEND) / NUMBR OF OUTSTANDING SHARES

0.55 = ( NET INCOME - 50000) / 200000

200000 × 0.55 = NET INCOME - 50000

110,000 = NET INCOME - 50000

NET INCOME = 110,000 + 50,000

NET INCOME = $160,000

ANSWER

EXPLANATION

We want to solve the given polynomial:

First, let us find the critical points of the polynomial:

Now, we have to test the intervals between the critical points to see which of them will solve the inequality.

CASE 1: x < -8 (Use x = -9)

As we can see, this does not work in the original inequality.

CASE 2: -8 < x < -1 (Use x = -6)

As we can see, this works in the original inequality.

CASE 3: -1 < x < 5 (Use x = 4)

As we can see, this does not work in the original inequality.

CASE 4: x > 5 (Use x = 10)

As we can see, this does not work in the original inequality.

Therefore, the solution of the polynomial inequality given is:

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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The probability that a project with an expected completion time of 15 weeks and a variance of 4 weeks will be completed in 18 weeks is approximately 0.9332 or 93.32%.

To calculate the probability, we need to use the z-score formula and the properties of the normal distribution. The z-score measures the number of standard deviations an observation is from the mean.

First, let's calculate the z-score:

z = (x - μ) / σ

Where:

x = the value we want to find the probability for (in this case, 18 weeks)

μ = the mean or expected completion time (15 weeks)

σ = the standard deviation or square root of variance (2 weeks, since variance is 4 weeks)

Now, let's substitute the values into the formula:

z = (18 - 15) / 2

z = 1.5

Next, we need to find the probability associated with the calculated z-score. We can look up this probability in a standard normal distribution table or use a calculator.

Using the z-score table or calculator, we find that the probability associated with a z-score of 1.5 is approximately 0.9332.

Therefore, the probability that the project will be completed in 18 weeks is approximately 0.9332 or 93.32%.

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Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).

"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.

Here, The formulae are as follows:

=>y = -z + 2      ...(1)

=> y = -2x² + z + 1  ...(2)

Equation (1) can be substituted for equation (2) to find the value of z:

=> Z = x² + 1/2 - z + 2 = -2x² + z + 1

=> 2z = 2x² + 1

We can now enter this value of z into equation (1) and find the value of y:

=> y = -z + 2

=> y = -(x² + 1/2) + 2

=> y = -x² + 3/2

As a result, the equation system can be expressed as:

=> z = x² + 1/2

=> y = -x² + 3/2

When x=0:

=> z = 0² + 1/2 = 1/2

=> y = -0² + 3/2 = 3/2

Therefore, there is no answer for the ordered pair (0, 3/2).

When x=1:

=> z = 1² + 1/2 = 3/2

=> y = -1² + 3/2 = 1/2

The answer is the ordered pair (1, 1/2).

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The residual for the given student is approximately 2.77.

This indicates that the student performed better on the English test than what would have been expected based on their IQ score according to the line of best fit.

What is Linear regression?

Linear regression is a statistical technique used to model the relationship between two variables by fitting a linear equation to observed data points.

To find the residual for the given student, we can substitute the student's IQ score (s = 96) into the equation for the best-fit line, y = -26.7 + 0.9346s.

Plugging in s = 96 into the equation, we get:

y = -26.7 + 0.9346(96)

y = -26.7 + 89.6304

y ≈ 62.93 (rounded to two decimal places)

So, the predicted English test score for a student with an IQ score of 96 is approximately 62.93.

To calculate the residual, we subtract the actual English test score (65.7) from the predicted English test score (62.93):

Residual = Actual English test score - Predicted English test score

Residual = 65.7 - 62.93

Residual ≈ 2.77 (rounded to two decimal places)

The residual for the given student is approximately 2.77.

Interpretation:

The positive residual of 2.77 suggests that the actual English test score for the student (65.7) is higher than the predicted English test score based on their IQ score (62.93).

Hence, This indicates that the student performed better on the English test than what would have been expected based on their IQ score according to the line of best fit.

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The mean is chosen in this case because it takes into account all the data points and provides a more accurate representation of the average age of onset in the sample.

The researcher should use the mean as the index of central tendency.
1. Collect the data: Obtain the ages of onset for all residents in the sample.
2. Calculate the mean: Add up all the ages of onset and divide by the total number of residents in the sample. This will give you the average age of onset.
3. Present the mean: Report the calculated mean as the index of central tendency, as it best communicates the average age of onset in the given sample.

The mean is chosen in this case because it takes into account all the data points and provides a more accurate representation of the average age of onset in the sample.

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Answer:

You find the slope of the line by getting two points on the line and subtracting them from each other. (finding the difference and simplifying it to the easiest term possible) but it is not necessary to simplify.

For example:

Let's say you have the coordinates of two points: (x₁, y₁) and (x₂, y₂).

The slope (m) of the line can be calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the coordinates of the two points into the formula and perform the calculations to find the slope. The resulting value of m represents the slope of the line.

Answer:

see below

Step-by-step explanation:

If you are given a line already on the graph, then all you have to do is count.

The formula for slope is:

\(\frac{rise}{run}\) where rise is how many units you go up and down, and the run is how many units you go left and right.

Next, we have to pick 2 points on the line that the x and y coordinates are whole numbers.  For example, let's say the 2 points on a line are (-3,4) and (-2,5).

We first have to find the rise of the line, so going from -3 to -2 is right 1, so the rise is 1.  The run is from 4 to 5, so up 1.  This makes the rise/run = 1/1, or just 1 which makes the slope 1.

If we are just given 2 points, for example, (-5,2) and (4,8), we can use the formula:

y2-y1/x2-x1

Substitute:

8-2/4+5

6/9

2/3

This makes the slope of this line 2/3.

Hope this clarifies things! :)  Let me know if you have any questions.

The  reverse of multiply by 44 is: 0.02272727.

Instead of multiplying by 44  we can  divide by the reciprocal of 44 reason been that division is the multiplicative reverse. Dividing by a digit is the same things as multiplying by the reciprocal of the digit.

Hence,

reverse of multiply by 44

Let the multiplicative reverse by x

44 (x)=1

x=1/44

x= 0.02272727

Prove:

0.02272727×44

=1

Therefore the  reverse of multiply by 44 is: 0.02272727.

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Answer:

A)1/2,50%

B)5/6,83%

Step-by-step explanation:

A)1/2,or probably 50%

and b is 5/6 because re twelve roses four are white and two are red and six are pink.

a) The probability that it is pink P(PR) is 1/2.

b) The probability that it is not red is 5/6.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given,  A box containing twelve roses. Four are white, two are red and six are pink.

SO, N(R) = 12, N(WR) = 4, N(RR) = 2 and N(PR) = 6.

Sacha picks out one rose at random,

∴  The probability that it is pink P(PR) is = 6/12 = 1/2.

The probability that it is not red is = 10/12 = 5/6.

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answer: associative property

Step-by-step explanation:

The slope of the line represents the rate of change between the independent variable (number of available staff) and the dependent variable (number of available staff) (wait time).

The slope of the line in this case is -1.62, which means that for every one unit increase in the number of staff available, the wait time decreases by 1.62 units.

In this case, a negative slope indicates that as the number of staff available increases, so does the wait time, indicating a positive relationship between the two variables. In other words, as the number of employees available increases, the wait time decreases.

It is important to remember that the equation models this relationship, and that actual wait times in the real world may not always follow this exact relationship due to other factors that influence wait times.

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Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer:

To find the derivative of g(x) = e^x / (e^x - x), we can first simplify the function using the quotient rule, and then apply the chain rule.

Using the quotient rule, we get:

g'(x) = [ (e^x)(e^x - x)' - (e^x - x)(e^x)' ] / (e^x - x)^2

g'(x) = [ (e^x)(-1) - (e^x - x)(e^x) ] / (e^x - x)^2 (using (e^x)' = e^x)

g'(x) = [ -e^x + xe^x ] / (e^x - x)^2

Now, applying the chain rule, we get:

g'(x) = [ (-e^x + xe^x)(e^x - x)' ] / (e^x - x)^2

g'(x) = [ (-e^x + xe^x)(e^x - 1) ] / (e^x - x)^2

Therefore:

g'(x) = [ (-e^x + xe^x)(e^x - 1) ] / (e^x - x)^2.

The inflection points of the given function are at x = 0 only. The answer is D.

To find the inflection points of the given function, we need to find the second derivative of the function and set it equal to zero.

y = 5x^4 - x^5

y' = 20x^3 - 5x^4

y'' = 60x^2 - 20x^3

Setting y'' = 0, we get:

60x^2 - 20x^3 = 0

20x^2(3 - x) = 0

x = 0 or x = 3

Now, we need to determine whether these values of x correspond to inflection points. To do this, we can examine the sign of the second derivative in the intervals around each value of x.

For x < 0, y'' is positive (since both terms are positive), so there is a local minimum at x = -3.

For 0 < x < 3, y'' is negative (since 60x^2 < 20x^3), so there is a point of inflection at x = 0.

For x > 3, y'' is positive (since both terms are positive), so there is a local minimum at x = 3.

Therefore, the inflection points of the given function are at x = 0 only. The answer is D.

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