Neuma had a container that held StartFraction 9 Over 54 EndFraction of a kilogram of rainbow sprinkles. She divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. To determine the weight of each serving, Neuma performed the calculations below. StartFraction 9 Over 54 EndFraction divided by 9 = StartFraction (9 divided by 9) Over (54 divided by 9) = one-sixth She concluded that each serving weighs One-sixth of a kilogram. What is Neuma's error? Neuma should have multiplied by 54, not divided. Neuma should have multiplied by 9, not divided. Neuma should have only divided 9 by 9, not 54 by 9. Neuma should have only divided 54 by 9, not 9 by 9.

Answer:

h(x) =2x+2    h(x) = 4

4 = 2x + 2

4 - 2 = 2x

2 = 2x

x = 2/2

x = 1

Step-by-step explanation:

The bottom edge of the mirror is approximately 0.359 meters above the floor and when the person doubles his distance from the mirror, he will see the bottom edge of the mirror reflected at a horizontal distance of approximately 0.275 meters from the mirror.

(a). The person's line of sight to the mirror and its reflection forms a right triangle. Using the geometry, we can determine the height of the bottom edge of the mirror above the floor:

tanθ = y/d

tanθ = h/(2d)

where θ is the angle of incidence and reflection, h is the person's height above the floor, d is the distance from the person to the mirror, and y is the height of the bottom edge of the mirror above the floor.

Solving for y, we get:

y = dtanθ = htanθ/2

Substituting the given values, we have:

y = (1.7/2)*tan⁻¹(0.55/2.5) ≈ 0.359 m

(b). To solve for the new horizontal distance, x':

x'/d = x/(2d)

x' = x/2

Substituting the given value of x = 0.55 m, we have:

x' = 0.55/2 = 0.275 m

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The complete question is:

A person's eyes are h = 1.7 m above the floor as he stands d = 2.5 m away from a vertical plane mirror. The bottom edge of the mirror is at a height of y above the floor.

(a). The person looks at the bottom edge of the mirror and sees a reflection from points on the floor that are x = 0.55 m horizontally away from the mirror. How high, in meters, is the bottom edge of the mirror above the floor?

(b). If the person doubles his distance from the mirror, what horizontal distance, in meters, along the floor from the mirror will he see when he looks at the bottom edge of the mirror?

Answer:

B

Step-by-step explanation:

there are 30 buildings...

Let A be a symmetric matrix that is invertible. This means that there exists a matrix B such that AB = BA = I, where I is the identity matrix. We want to show that B is also symmetric, that is, \(B = B^{T}\)

To prove this, we can use the definition of matrix inversion. We know that AB = I, so we can take the transpose of both sides:

\(AB^{T} = I^{T}\)

Using the transpose rules, we can rewrite this as:

\(B^{T} * A^{T}\) = I

Now, we can multiply both sides of this equation by A:

\(B^{T} * A^{T}\)* A = A

Since A is invertible, we can multiply both sides by A⁻¹ to get:

\(B^{T}\) = A⁻¹

Therefore, we have shown that the inverse of a symmetric matrix A, which we denote as A⁻¹, is also symmetric, since A⁻¹ = \(B^{T}\), which is the transpose of the matrix B.

Hence, we have proved that if a symmetric matrix is invertible, then its inverse is symmetric as well.

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The area of the given composite shape, can be found to be 430. 58 square feet

There are two semi circles in the figure so to find the area of the figure, you need to find the surface areas of these two semi - circles and then sum them up.

Area of first semi circle :

= π x radius ²

= π x ( 22 / 2 ) ²

= π x 11 ²

= 380 . 29 square feet

Area of second semi circle :

=  π x radius ²

= π x ( ( 30 - 22 ) / 2 ) ²

= 50. 29 square feet

The area of the composite shape is :

= 380 . 29 + 50. 29

= 430. 58 square feet

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Answer:

b

Step-by-step explanation:

i think

Answer:

Begin by subtracting the amount that they already have made from the total needed, making: 12,500−1,0250=11,250.

So, the amount needed to raise more is $11,250, and we have 50 students. To make the amount needed for the trip, divide the amount needed by each student, for the amount needed to raise by each student. 1125050=225

Each student must make $225 for the trip to happen.

Step-by-step explanation:

Answer:

10 x 21 = 210 divided by 2 = 105 x 2 = 210

Answer:

10 x 21 = 210 divided by 2 = 105 x 2 = 210

Step-by-step explanation:

Answer 15c3d−7c2d2

Step-by-step explanation:

Answer:

The answer to the given question is - ¹/₂

Step-by-step explanation:

Given;

\(\frac{2}{5} \times -\frac{3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5}\)

Before we apply the distributive property, perform the multiplication operation.

\((\frac{2}{5} \times -\frac{3}{7}) - \frac{1}{14} - (\frac{3}{7} \times \frac{3}{5} )\\\\\frac{-6}{35} - \frac{1}{14} - \frac{9}{35}\)

Now, apply the distributive property, to obtain the final answer,

In distributive property, the following rule is applied;

ax + ay = a(x + y)

\(\frac{-6}{35} - \frac{1}{14} - \frac{9}{35} = \frac{-1}{7} (\frac{6}{5} + \frac{1}{2} + \frac{9}{5} )= \frac{-1}{7} (\frac{12 + 5+ 18}{10} )= \frac{-1}{7} (\frac{35}{10} ) = \frac{-35}{70} = \frac{-1}{2}\)

Therefore, the answer to the given question is - ¹/₂

=========================================================

Explanation:

Draw two parallel number lines as shown in the diagram below. Make sure the numbers line up.

The first number line has the interval [0,7] which is the same as writing 0 ≤ x ≤ 7

We have closed circles at 0 and 7. Then there's shading in between those endpoints.

Similarly, the other interval [-2, 5] represents -2 ≤ x ≤ 5. It has shading between the closed circles at -2 and 5.

The red dashed lines represent the portions where the two number lines overlap. This is from x = 0 to x = 5

The sub-interval 0 ≤ x ≤ 5 is found in both domains, and hence it's the domain of f+g

That turns into the interval notation of [0, 5]

Answer:

\(\frac{9\pm\sqrt{61}}{2}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)

Phil lives in a state where his tax rate does not change when his income changes. This is an example of a proportional or flat tax.

Tax is defined as the official way individuals contribute to their state revenue through the compulsory deduction of some amount of money from their monthly income.

There are two types of tax which include the following:

Proportional or flat tax: This is defined as the type of tax that is being paid by individuals from different class in the society whereby all are expected to pay tax with the same rate irrespective of the income.

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A small p-value provides strong evidence against the null hypothesis. The null hypothesis is the hypothesis that there is no significant difference or relationship between two variables.

The p-value is the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true.
If the p-value is small, typically less than 0.05, it means that the observed result is unlikely to have occurred by chance alone if the null hypothesis is true. This suggests that there is strong evidence against the null hypothesis and that we should reject it in favor of the alternative hypothesis. .
For example, if we conduct a hypothesis test to determine whether a new drug is more effective than a placebo, a small p-value would indicate that the drug is indeed more effective. This is because the observed results are highly unlikely to occur if the drug is not effective.
In summary, a small p-value provides strong evidence against the null hypothesis and supports the alternative hypothesis. It suggests that the observed results are not due to chance and that there is a significant difference or relationship between the variables being studied.

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Answer:

g(2) = 5

g(-2) = 2

g(-3) = 0

g(5) = 1

g(x) = 0 when x = 3

g(x) = 6 when x = 0

Step-by-step explanation:

Your just finding the values of y when x is unknown or when y is unknown and your trying to find x. f(x) is just a fancy way of saying y.

Answer:

18 1/12

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

Step-by-step explanation:

Terms           Coefficient

7p                    7

-6z                    -6

-80                  constant term

When psychiatrists were asked to predict what percentage of the population would deliver the full range of shocks in the Milgram experiment, their prediction was:
a. less than 1 percent.

To provide some context, the Milgram experiment was a series of social psychology experiments conducted by psychologist Stanley Milgram in the 1960s.

The experiments aimed to measure the willingness of participants to obey an authority figure, even if it meant inflicting harm on another person.

Participants were instructed to administer electric shocks of increasing intensity to a "learner" (actually an actor) whenever they answered a question incorrectly.

The shocks were not real, but the participants believed they were.
Before the experiments were conducted, psychiatrists were asked to predict how many people would go through the entire range of shocks, up to the maximum level, which was labeled as "XXX."

The prediction they made was that less than 1 percent of the participants would do so.
However, the actual results of the Milgram experiment showed that around 65% of participants administered the full range of shocks.

This outcome was surprising to both the researchers and the psychiatrists who made the predictions, as it demonstrated a much higher level of obedience to authority than anticipated.

Option a. less than 1 percent.

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Answer:

George will be right by the rule of BODMAS

Step-by-step explanation:

If the students use BODMAS rule, division comes before addition

Answer:

i. Rs6,000

ii. Rs6,900

Step-by-step explanation:

i. FV = PV(1 + r)^d

FV = 40,000(1 + 0.15)^1

FV = 40,000(1.15)

FV = 46, 000

46, 000 - 40,000

Interest = Rs6, 000

ii. FV = PV(1 + r)^d

FV = 46,000(1 + 0.15)^1

FV = 46, 000(1.15)

FV = 52, 900

52, 900 - 46, 000

Interest = Rs6, 900

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Answer is on the attachment...

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Answer:

-1/22

Step-by-step explanation:

Answer:

The square root of 25 is 5 because 5 times 5 is 25

Step-by-step explanation:

Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.

Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.

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Answer/Step-by-step explanation:

2/5 + 1/3

5 times 3 is 15, so 2*3 and 1*5

6/15 + 5/15

6+5 = 11, and 11/15 cannot be simplified so:

11/15

Answer:

Neither.

Step-by-step explanation:

First, we write 2x - 5y = 25 in slope-intercept form. That gets us y = 2/5x - 5. Now, we graph both the lines (check the image attached). Parallel means extending in the same direction, everywhere equidistant. Perpendicular means the relationship between two lines that meet at a right angle (90 degrees). As we can see in the screenshot, these lines don't fit any of these categories, so we put "neither."

The lines 2x - 5y = 25 and y = 5x + 3 are neither parallel nor perpendicular

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Equations of two lines are given, They are 2x - 5y = 25 and y = 5x + 3.

Now, Writing them in slope-intercept form,

2x - 5y = 25.

- 5y = - 2x + 25.

y = (2/5)x - 5.

And,

y = 5x + 3.

Now, We know lines parallel to each other have the same slope, and lines perpendicular to each other have a slope that is negative reciprocal of each other.

Therefore the lines y = (2/5)x - 5 and y = 5x + 3 are neither parallel nor perpendicular.

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The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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The correct value of p(x<8) is 1.875.

To determine how probable something is gonna occur, use probability. It is a number between 0 and 1, where 0 denotes the absence of a possibility and 1 denotes the existence of one. By dividing the number of favorable outcomes by the entire number of potential possibilities, the probability of an occurrence is determined.

To find the probability that is greater than 8, we need to integrate this probability density function from 5.5 to 20.5:

P(X < 8) = ∫[5.5,20.5] f(x) dx

= ∫[5.5,20.5] (1/8) dx

= [x/8] from 5.5 to 20.5

= (20.5/8) - (5.5/8)

= 15/8

= 1.875.

Therefore, the correct probability is 1.875.

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