Multiply. 4x(y + x + 2)

The point of the demonstration was to illustrate that numbers are not always represented in the same way, and can look different when rotated or flipped. It also showed that numbers can look the same, even when they are not in the same orientation.

The demonstration asked the student to examine five different versions of the number 3. Each version was displayed in a different orientation. The point of the demonstration was to illustrate that numbers are not always represented the same way. Each number can look different when rotated or flipped. It also showed that numbers can look the same, even when they are not in the same orientation. This helps to show that numbers have an orientation and can be presented in different ways. It also helps to demonstrate that numbers are not always read from left to right, but can be read from right to left as well.

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The 99% confidence level produces the most comprehensive interval due to the increase in critical value.

99%, because, as the level of confidence increases, zc increases.

The level of confidence is the probability that actual value will fall in the confidence interval determined using sample statistics. As the probability increases, the area (middle part) under the curve expands, which results in increasing the critical value(zc) that determines the acceptance region.

The increase in the critical value results in increasing the margin of error, which defines the confidence interval's spread from the mean value of the distribution.

Hence, the 99% confidence level produces the most comprehensive interval due to the increase in critical value.

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A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

Step-by-step explanation:

Use the formula for a normal dist.

⊕ = sigma

∪ = standard deviation,  mu

f(x) = 1 / (⊕*[tex]\sqrt{2\pi }[/tex])*e^(-1/2*(x-∪/⊕)^2)

A)  f(274) =  1 / (16*[tex]\sqrt{2\pi }[/tex])*e^(-1/2*(274-266/16)^2)

             = 0.022

B  F(246) = 1 / (16*[tex]\sqrt{2\pi }[/tex])*e^(-1/2*(246-266/16)^2)

             = 0.017

The inequalities for the equation -7x + 3y ≤ 15 is [tex]x\ge \frac{-15+3y}{7}[/tex] and 6x - 5y < 12 is [tex]x < \frac{12+5y}{6}[/tex]

What is inequalities ?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Inequality of wealth (the distribution of wealth across households or individuals at a particular point in time), inequality of opportunity (the impact on income of circumstances over which individuals have no control, such as the availability of jobs), and lifetime inequality (the inequality in incomes for an individual over his or her lifetime) are all related concepts.

- 7x ≤ 15 - 3y

(-7x)(-1) ≥ 15 (-1) - 3y(-1)

7x ≥ -15 + 3y

Dividing by 7 we get

[tex]x\ge \frac{-15+3y}{7}[/tex]

6x < 12 + 5y

Dividing by 6 we get

[tex]x < \frac{12+5y}{6}[/tex]

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divide user number by down numbers

Step-by-step explanation:

lowest volume was achieved in sample 1 where the highest cake volume was shown in sample 5. Table 4 shows the sensory scores reported by sensory 60 panellists of a 1-9 point scale using a hedonic rating to evaluate the overall acceptability of the cake samples. The overall acceptability was affected significantly (p<0.05) for wheat flour in the cake samples as shown in Table 5. The highest value was 8.3 achieved in sample 6 where the lowest value was 6.8 found in sample 1 while the average of overall acceptability is 7.55 which mean the medium between like moderately

Answer:

y = 3x - 3

Step-by-step explanation:

Answer:

y = 3x + 3

Step-by-step explanation:

When two lines are parallel, this means they have the same slope!

So, first, we are going to take the slope from the equation y = 3x - 11 and use it in our new equation

SLOPE = 3

Next, we use the point-slope formula to make a new equation for the coordinate (4,9) ⇒ x = 4 and y = 9

Point-slope equation = y - y1 = m ( x - x1 )

Let's plug in and solve!

y - 9 = 3 ( x - 4 )

Simplify to turn it into INTERCEPT FORM !

y - 9 = 3x - 12

y = 3x + 3

This is the final answer!

I hope I helped! Let me know if you have any questions about my answer! :)

The F-statistic for the F-test for joint significance for the variables that are omitted between Regression 1 and Regression 2 is calculated by dividing the difference between the sum of squares of the two regressions by the sum of squares of the omitted variables.

The F-statistic for the F-test for joint significance is a measure of the strength of the relationship between the variables that have been omitted between two regressions. It is calculated by taking the difference between the sum of squares of the two regressions, and dividing it by the sum of squares of the omitted variables. This gives us a value that indicates how well the omitted variables explain the variance in the data. If the value is high, then the omitted variables do explain a significant amount of the variance in the data, indicating that they should not be omitted.

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Answer:

Step-by-step explanation:

Let the congruent sides of an isosceles △ be x.

Let the base of the isosceles △ be y

According to the 1st condition,

x+x+y=30

2x+y=30

According to the 2nd condition

x=y+3

x−y=3

Solving equation (1) and (2)

2x+y=30

x−y=3

-------------------

3x=33

x=

3

33

​

x=11

By substituting x=11 in equation (1)

2x+y=30

2(11)+y=30

22+y=30

y=30−22

=8

∴ The length of the sides of a △ are 11cm,11cm and 8cm.

Answer:

Point C

Step-by-step explanation:

Crew 1 more worker-days to repave the same distance, it is also clear that they required more worker-day per mile than Crew 2.

True. Crew 1 worked a total of 12 worker-day.

True. Crew 1 repaved the highway at a rate of 12 mile per day.

True. Crew 2 repaved the highway at a faster rate than Crew 1.

True. Crew 1 required more worker-day per mile than Crew 2.

True. Crew 2 repaved the highway at a rate of 1.3 worker-day per mile.

Crew 1 - 6 workers and 4 days of work = 24 worker-days to repave 2 miles of highway. This means that Crew 1 repaved the highway at a rate of 12 miles per day.

Crew 2 - 8 workers and 5 days of work = 40 worker-days to repave 3 miles of highway. This means that Crew 2 repaved the highway at a rate of 1.3 worker-days per mile.

Since Crew 2 repaved the highway in fewer worker-days, it is clear that they repaved the highway at a faster rate than Crew 1. Additionally, since it took Crew 1 more worker-days to repave the same distance, it is also clear that they required more worker-day per mile than Crew 2.

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Step-by-step explanation:

the mean value is average is the sum of all data divided by the number of data points.

with the second test she will have 2 data points.

the first was 74 points (74% of 100 points = 74 points).

x = 2nd test result

(74 + x)/2 = 80

74 + x = 160

x = 86

she must earn 86% on her second test to achieve an average score of 80%.

Answer:

B

Step-by-step explanation:

they have same slopes,the slopes is 1/2,it mean they can't intersect

The degree of freedom for the f-test for anova in a regression model with 4 predictors and 47 observations is  (4,42)

degree of freedom = (k, n - k - 1)

= (4, 47 - 4 - 1)

= (4, 42).

Any statistical test with an F-distribution for the test statistic under the null hypothesis is known as an F-test. In order to determine which statistical model better represents the population from which the data were sampled, it is most frequently applied when contrasting models that have been fitted to data sets.

Exact "F-tests" are typically required after least squares fitting of the models to the data. In honor of Ronald Fisher, George W. Snedecor came up with the name. In the 1920s, Fisher created the statistic as the variance ratio.

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The rate of change in the farm's average tree height in feet in relation to the number of years the trees have been planted is 7 ft/yr.

Given that,

In the picture we have a table with the linear relationship between the average height in feet of tree on a form and the number of years since tree where planned.

We have to find what is the rate of change in the farm's average tree height in feet in relation to the number of years the trees have been planted.

We know that,

1,3,6,11,15 years have passed since the trees were planted.

10, 24, 45, 80, 10 is the average height in feet.

The number of years since the trees were planted as a whole is now 1+3+6+11+15 = 36.

Total Average Height (ft.) = 10 + 24 + 45 + 80 + 108=267

Therefore, the rate of change in average height is equal to the sum of average height and the number of years.

The average height change rate is 267 divided by 36.

The average height is changing at a rate of 7.4 feet every year.

Average height change of less than 7 feet each year.

In relation to the number of years since the trees were planted, the average annual growth rate of the farm's trees, measured in feet, is 7 ft/yr.

Therefore, The rate of change in the farm's average tree height in feet in relation to the number of years the trees have been planted is 7 ft/yr.

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Step-by-step explanation:

since the roller coaster takes always 8 people at a time, this problem is simply to find how often 8 fits into 346 and how many people are remaining (when we cannot fill all 8 places anymore at the end).

that is what division is for.

346 / 8 = 43 and remainder 2

as 8×43 = 344, plus 2 is then 346.

so, the remainder (2 people) will be on the last ride.

To find the number of people on the last ride of the roller coaster, divide the total number of people waiting in line by the number of people the roller coaster can fit at a time.

To find the number of people on the last ride of the roller coaster, we need to divide the total number of people waiting in line by the number of people the roller coaster can fit at a time. In this case, we have 346 people waiting and the roller coaster can fit 8 people at a time. Dividing 346 by 8 gives us 43 with a remainder of 2. This means that there will be 43 full rides, and on the last ride, there will be 2 people left.

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The scale factor from the map is 1 in : 8 ft

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

Kitchen = 3 in

Also from the question, we have the following legend/key

1 in : 8 ft

The above represents the scale factor of dilation used on the map

This can be re-expressed as

Scale = 1 in : 8 ft

Hence, the scale factor of dilation is 1 in : 8 ft

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Answer:

The correct answer is (b) SSA.   -- -- Read carefuly for total understanding

Step-by-step explanation:

In geometry, congruence is a relationship between two figures that means they have the same size and shape. In other words, congruent figures can be perfectly superimposed on one another. There are several criteria that can be used to determine whether two triangles are congruent.

However, the SSA (side-side-angle) criterion does not guarantee that two triangles are congruent. In other words, just because two triangles have two sides and the included angle congruent does not necessarily mean that the triangles are congruent. This is why the answer is (b) SSA.

6) A table that represents the cost of the cab ride is;

5   15.25

10.   28.95

15.    42.45

20.    55.95

7) The equation in slope intercept form is;

y = 2.70x + 1.95

8) The equation in point slope form is; y - 15.25 = 2.70(x - 5)

9) The equation in standard form is; -2.70x + y = 1.95

10) What the slope indicates is the amount of money charged per mile driven by each cab ride.

6) A table that represents the cost of the cab ride given the number of miles provided for miles 5, 10, 15 and 20.

5   15.25

10.   28.95

15.    42.45

20.    55.95

7) The general equation of a line in slope intercept form is y = mx + b

where;

m is slope.

b is y-intercept

The slope will be 2.70 since that is how much we go up for a mile

Similarly, 1.95 is y-intercept since it is where we start no matter what and we have to add that constant fee every time.

Thus, the equation is;

y = 2.70x + 1.95

8) The general equation for a line in point slope form is;

y - y₁ = m(x - x₁)

Thus, the equation by taking the first coordinate is;

y - 15.25 = 2.70(x - 5)

9) The equation in standard form will be;

y = 2.70x + 1.95

Thus;

-2.70x + y = 1.95

10) What the slope indicates is the amount of money charged per mile driven by each cab ride.

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The number of adults that can get in the considered elevator if there are 10 children already in it is 4 adults.

Suppose that the capacity of the considered elevator is expressed in the third form (neither in terms of children nor in terms of adults), as 'k'.

So, we have: k = 15 children = 15x (say each children covers x capacity)

and k = 11 adults = 11y (say each adult covers y capacity)

(here, we assumed that capacity is linearly covered, ie if one person covers some capacity, then two people cover the sum of their covered capacity).

It is given that there are 10 children in the elevator right now.

That means, k-10x = 15x -10x = 5x capacity is still remaining.

Converting x to y, as shown below:

[tex]15x = 11y[/tex]

[tex]x= \frac{11y}{15}[/tex]

Thus, 5x is equivalent to:

[tex]5x =5( \frac{11y}{15})[/tex] [tex]= \frac{11y}{3}[/tex]

It is smaller than 4y but bigger than 3y. Therefore, 3 more adults can come in it, as 4 will make the elevator get overloaded.

Thus, the number of adults that can get in the considered elevator if there are 10 children already in it is 4 adults.

The human beings-transferring enterprise has come an extended way because 1852 when Elisha Graves Otis invented the elevator safety brake and inspired a method to a customary hassle—a way to competently flow freight from floor to ground without risking lives and destroying the cargo.

If one is at the pinnacle ground of construction, all elevators will come from beneath (none can come from above), and then go away going down, while if one is on the second from the top floor, an elevator going to the pinnacle floor will skip first on the way up, and then rapidly later on at the way down – consequently, whilst a same.

Once the elevator is falling greater than half of as fast as the speed you get via jumping from rest, jumping reduces your energy and could soften the fall. in case you attempted jumping simply as soon because the elevator started to fall, you'll honestly come to be falling from a more height, and hit tougher.

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The vertex of the absolute value function f(x) = (-2/3)*|x + 4| is:

(-4, 0)

Here we have the following absolute value function:

f(x) = (-2/3)*|x + 4|

The x-value of the vertex is the one that makes the argument of the absolute value part equal to zero, so we will get:

x + 4 = 0

x = -4

To et the y-value of the vertex we evaluate the function in x = -4, we will get:

f(-4) = (-2/3)*|-4 + 4|

f(-4) = 0

Then the vertex of the absolute value function is (-4, 0).

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Answer:

B

Step-by-step explanation:

Standard Deviation of given set of numbers is 0.71

The two key areas in statistics are variance and standard deviation. It is a metric for statistical data dispersion. The degree to which values in a distribution deviate from the distribution's average is known as dispersion.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation.

Standard Deviation Formula:

σ=[tex]\sqrt{\frac{sigma(xi-m)^2}{n} }[/tex]

Given 6,4,5,5

m=[tex]\frac{6+4+5+5}{4}[/tex]=5;

⇒σ=[tex]\sqrt{\frac{(6-5)^2+(4-5)^2+(5-5)^2+(5-5)^2}{4} }[/tex]=0.707≅0.71

Standard Deviation of given set of numbers is 0.71

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Step-by-step explanation:

Given that,QTR =77°

RTS =71°

QTS=QTR+RTS

=77°+71°

=148°

Answer:

∠QTS is 148°

Step-by-step explanation:

To find the measure of ∠QTS we would simply add the angles.

[tex]77+71=148[/tex]

The sum of interior angles in a triangle is 180°

We can check our work by subtracting the adjacent angles from 180.

A right angle is 90°.

[tex]90-77=13[/tex]

[tex]90-71=19[/tex]

[tex]180-13-19=148[/tex]

A rating/review would be much appreciated. Wish you a happy holiday season!

Answer:

2 is the answer

Step-by-step explanation:

(∜8³)⅓

the (⁴√8) is 2 { 2×2×2×2 = 8}

= (2³)⅓

= 2³×⅓

= 2

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Answer: 3 47/126

Step-by-step explanation: You have to find the common denominator to make the problem easy and make sense. I highly recommend using a fraction calculator if you aren't sure how to do it.

Answer:

True

Step-by-step explanation:

The probabilities of all outcomes add to 1.