What is the slope of the equation y= 5/4x-7/4

1. The proportion P of green Skittles in your data is approximately 0.2094 or 20.94%. 2. The standard deviation of the sample proportions based on your data is approximately 0.0266. 3. The estimated true proportion of green Skittles in the population, based on your data, is 20.94% \(^+_-\) 4.07%. 4. The data supports your initial guess that the percentage of green Skittles in a bag is approximately 20%-25%.

1. To find the proportion P, divide the number of green Skittles by the total number of Skittles in your sample:

P = Number of green Skittles / Total number of Skittles

In this case, you found 49 green Skittles out of a sample size of 234, so:

P = 49 / 234 = 0.2094 (rounded to four decimal places)

Therefore, the proportion P of green Skittles in your data is approximately 0.2094 or 20.94%.

2. To calculate the standard deviation of the sample proportions, you can use the following formula:

Standard Deviation = \(\sqrt{(P * (1 - P)) / n}\)

Where P is the proportion and n is the sample size.

Using the given values:

= sqrt((0.2094 * (1 - 0.2094)) / 234) = 0.0266 (rounded to four decimal places)

Therefore, the standard deviation of the sample proportions based on your data is approximately 0.0266.

3. To estimate the true proportion p in the population, including a margin of error, you can use the confidence interval formula:

\(p ^+_- z * \sqrt{(p * (1 - p)) / n}\)

Where p is the sample proportion, z represents the z-score based on the desired confidence level (such as 95% confidence), and n is the sample size.

Since you didn't mention a specific confidence level, we'll assume a 95% confidence level, which corresponds to a z-score of approximately 1.96.

Using the values from your data:

p = 0.2094

z = 1.96

n = 234

Calculating the margin of error:

The margin of Error =\(z * \sqrt{(p * (1 - p)) / n}\)

\(= 1.96 * \sqrt{(0.2094 * (1 - 0.2094)) / 234}\)

= 0.0407 (rounded to four decimal places)

The estimated true proportion p in the population, including the margin of error, is:

p \(^+_-\) Margin of Error = 0.2094 \(^+_-\) 0.0407

Therefore, the estimated true proportion of green Skittles in the population, based on your data, is 20.94% \(^+_-\) 4.07%.

4. Comparing the estimated true proportion with your initial guess of 20%-25%, we can see that the proportion you found in your data (20.94%) falls within the estimated range of 20.94% \(^+_-\) 4.07%. This means that the data support the initial guess that the percentage of green Skittles in a bag is approximately 20%-25%.

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A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet. The actual area of the apartment will be 960 square feet.

Dilation:

Inflation is the process of increasing the size of an item without affecting its shape. Depending on the scale factor, the size of the object can increase or decrease. Dilation is a transformation used to change the size of an object. Dilation is used to make objects larger or smaller. This transformation produces an image of the same shape as the original.

The dilation should either stretch or contract the original shape. This transformation is referred to as the "scaling factor".

When zooming in produces a larger image, it is called zooming in.

If dilation produces a smaller image, this is called downscaling.

There is no effect of dilation on the angle.

A blueprint shows an apartment with an area of 15 square inches.

If the blueprint's scale is 1 inch : 8 feet.

Then the scale factor will be 8/1 feet per inch.

Then the actual area square footage of the apartment will be

Actual area = 15 x (scale factor)²

Then the actual area of the footage will be

⇒ Actual area = 15 x (8/1)²

⇒ Actual area = 15 x 64

⇒ Actual area = 960 square feet

Thus, the actual area of the apartment will be 960 square feet.

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Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:I got the answer correct because i have to take the test

Step-by-step explanation:

The relation between the area and the circumference is given by:

"The area is 1/2 times the radius times the circumference".

We know that for a circle of radius R we have:

If you take the quotient between the area and the circumference, you get:

A/P = (pi*R^2)/(2*pi*R) = R/2

So the area is R/2 times the circumference, or, using the terms given in the list:

"This means that the area is 1/2 times the radius times the circumference"

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The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.

The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.

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Answer:

-2 is the y intercept

Step-by-step explanation:

this is because it is in the y=mx+b format so 5x=mx therefore b=-2 making -2 the y intercept

Answer:

Step-by-step explanation:

The y intercept is the value where x = 0

y = 5(0) - 2

The y intercept is (0,-2).

The best way to confirm this is to graph it. Use Desmos.

Answer:

y = 9x

Step-by-step explanation:

Let y = the cost

Let x = the number of hours

It costs $9 and hour to rent 27/3 = 9

The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, \(a \div b =\) a divided in b equal parts.

Also, we can write: \(a \div b = a \times \dfrac{1}{b}\)

(it is since a = a times 1 so \(a/b = 1 \times (a/b) = (1/b) \times a\))

For this case, we're specified that:

12 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).

That means:

Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.

To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.

If we take 4 times a pound, then we get 4 pounds.

Thus, 4 of a pound = 4 pound

In fraction, we have: 4 pounds = 4/1 fraction of a pound.

Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound

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A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

Using proportions, it is found that the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

The Ruiz family is exchanging Euros for USD dollars, considering the following currency rate:

1 euro = 1.35261 USD.

Considering that the amounts in USD are rounded to the nearest hundredth, the use the following rule

1 euro - 1.35 USD.

It asks if the Ruiz family will be getting the most accurate answer.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we suppose a 1000 euros amount, them:

Hence the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

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Answer:

The answer is

C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Step-by-step explanation:

In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x

like the difference equation relating y and x.

In a function, for every value of x plugged into the function there is always a corresponding value of y.

Example.

Given the function

y=2x+5.

find the value of y when x=0

we are going to substitute x=0 and solve

y=2(0)+5

y=5

so for x=0 y=5

Midpoints are A(a, b), B(a+c, b+d), C(2c, d), D(c, 0)

slope AB = slope DC = d/c

slope AD = slope BC = b/(a-c)

Given that Quadrilateral R S T V is in a coordinate plane with vertex and R(0, 0), S(2a, 2b), T(2c, 2d), V(2c, 0).

A is the midpoint of RS, B is the midpoint of ST

C is the midpoint of TV, and D is the midpoint of RV

The midpoint M of segment PQ:

M = (P +Q)/2

A = (R +S)/2 = ((0, 0) +(2a, 2B))/2 = (a, b)

B = (S +T)/2 = ((2a, 2b) +(2c, 2d))/2 = (a+c, b+d)

C = (T +V)/2 = ((2c, 2d) +(2c, 0))/2 = (2c, d)

D = (R +V)/2 = ((0, 0) +(2c, 0))/2 = (c, 0)

The slope of various segments can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

So, the slopes of the various segments are ...

slope of AB = (b +d -b)/(a +c -a) = d/c

slope of DC = (0 -d)/(c -2c) = -d/-c = d/c . . . . same as slope AB

slope of AD = (0 -b)/(c -a) = -b/(c -a) = b/(a-c)

slope of BC = (d -(b+d))/(2c -(a+c)) = -b/(c -a) = b/(a-c) same as slope AD

Pairs of opposite sides of ABCD are parallel, so quadrilateral ABCD is a parallelogram.

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The test statistic is associated with a p-value of- Option b. Less than 0.01 is correct.

The two-sided hypothesis test is used to test whether the population parameter is equal to or different from the hypothesized value. A two-sided hypothesis test has the null hypothesis and the alternative hypothesis. It is used to test if the sample mean is equal to the hypothesized mean or not. The p-value is the probability that a test statistic is at least as extreme as the observed value, assuming the null hypothesis is true.

Therefore, if you carry out a two-sided hypothesis test using a sample mean of 15 observations and obtain a test statistic T = -2.78, the p-value associated with this test statistic is less than 0.01.

Answer: b. Less than 0.01

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Answer:

The slope of this line equals 2.

Hope this helps :)

Step-by-step explanation:

Answer:

2^12

Step-by-step explanation:

edge2021

Answer:

Step-by-step explanation:

Let's assume the number of iPads sold by Target as "x".

Then, the number of iPads sold by Best Buy would be 8 times this value, which is 8x.

We are given that the difference in their sales is 490 iPads. So we can set up an equation:

8x - x = 490

Simplifying and solving for x:

7x = 490

x = 70

Therefore, Target sold 70 iPads, and Best Buy sold 8 times as many, or 560 iPads.

Answer:x=21

Step-by-step explanation:

10/14=15/x

5/7=15x^-1

(5/7)/15=ans

ans=x^-1

ans^-1=21

Answer: x=21

Step-by-step explanation:

\(\frac{10}{14} =\frac{15}{x}\)

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.

x×10=14×15

Multiply 14 and 15 to get 210.

x×10=210

Divide both sides by 10.

x=

10

210

​

Divide 210 by 10 to get 21.

x=21

Answer:

(0,0), (0,9), (9,0)

Step-by-step explanation:

The matrix corresponding vertices are:

(0,0)

(0,3)

(3,0)

Rosa scales by 3T, so we need to multiply each point by 3.

(3*0, 3*0)

(0*3, 3*3)

(3*3, 0*3)

=

(0,0)

(0,9)

(9,0)

last answer choice is right.

pls mark me brainly

The vertices of the scaled triangle, 3T is, (0, 0), (0, 9), (9, 0).

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A matrix \(T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}\) represents the vertices of a triangle.

Let, ABC be the triangle,

So, A(0, 0), B(0, 3), C(3, 0).

Now, If \(T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}\), Then \(3T=3\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}\).

Therefore, \(3T=\begin{bmatrix}0 & 0 & 9\\0 & 9 & 0\end{bmatrix}\).

Hence, The new vertices are, (0, 0), (0, 9), (9, 0).

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Data Set A has a spread out from, so it has a higher MAD.

A data set is a collection of related data that is organized and structured so that it can be easily analyzed for information. It typically includes both numeric and non-numeric data, such as text, images, audio, and video. Data sets are often used by scientists, researchers, and businesses to analyze trends, make predictions, and develop new products and services.

The differing mean absolute deviation (MAD) between the two data sets reflects the distributions of the data within each data set. Data set A has a much lower MAD compared to data set B, meaning that the data points in data set A are much closer to the mean than in data set B. This indicates that data set A is more clustered around the mean, while data set B has more of a spread out distribution.

The MAD can be used to measure the variability or spread of a data set. A larger MAD indicates that the data points in the data set are further away from the mean, while a smaller MAD indicates that the data points are close to the mean. Therefore, the larger MAD of data set B indicates that the data points in this set have a greater spread out distribution than the data points in data set A. This is likely due to the presence of outliers in data set B, which are values that are much larger or smaller than the rest of the data points. These outliers cause the MAD of data set B to be larger than that of data set A, which does not have any outliers.

Two data sets and their mean absolute deviations are shown.

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Complete questions as follows-

Study the plots of each data set, and then use the drop-down menus to answer the questions below.

Answer:

the answer is $6

Step-by-step explanation:

This is because there are 1000g in 1kg, so 500g is half of that and half of 12 is 6.

Answer:

6 feet

Step-by-step explanation:

1 feet x 6= 6 feet

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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The triengle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

Here in he given triangle,

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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Answer:

7

Step-by-step explanation:

GCF of 14 and 21 is 7

Answer:

Step-by-step explanation:

6x^2 - x - 13 = 0

6 * -13 = -78.

So, to factor this we need 2 integers whose product is -78 and whose sum is -1.

There are no such integers so we can't solve this by factoring.

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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