Your research of competitors shows prices of $45, $78, $13, $125, and $66. If you throw out the
highest and lowest data points (outliers), what is the mean of the remaining prices?

Answer:

the first (top) answer option. ... = 129/100

Step-by-step explanation:

the for me qualifying or disqualifying term is the constant term as the product and sum of all the constant parts.

the general form has the constant parts

... + 1 = 0

so, all the constant terms from the squares on the left side minus the constant term on the right side must be 1.

let's start from the bottom : the 4th answer option.

the constant parts are

... + (-1/5)² + ... + (3/2)² = 121/100

... + 1/25 + ... + 9/4 = 121/100

... + 0.04 + ... + 2.25 = 1.21

... + 2.29 - 1.21 = ... + 1.08

and NOT 1. so, this is wrong.

the 3rd answer option.

... + (-1/3)² + ... + (-3/2)² = 221/100

... + 1/9 + ... + 9/4 = 221/100

... + 0.111111... + ... + 2.25 = 2.21

... + 0.111111... + ... + 2.25 - 2.21 = 0

... + 0.111111... + ... + 0.04 = 0

... + 0.111111 + 0.04 = 0.15111111...

and NOT 1. so, this is wrong.

the 2nd answer option.

... + (-1/5)² + ... + (3/2)² = 229/100

... + 1/25 + ... + 9/4 = 229/100

... + 0.04 + ... + 2.25 = 2.29

... + 2.29 - 2.28 = ... + 0

and NOT 1. so, this is wrong.

the first answer option.

... + (-1/5)² + ... + (3/2)² = 129/100

... + 1/25 + ... + 9/4 = 129/100

... + 0.04 + ... + 2.25 = 1.29

... + 2.29 - 1.29 = ... + 1

this IS 1. so, this is correct.

this corresponds now to the original

... + 1 = 0

Answer: Choice A (May vary from test to test)

Step-by-step explanation:

(x-1/5)^2 + (y+3/2)^2 = 129/100

Just an FYI:

Answer: \(90\sqrt[3]{90}+87\)

Step-by-step explanation:

\(qqq=90\\q^3=90\\\sqrt[3]{q^3} =\sqrt[3]{90}\\q= \sqrt[3]{90}\\\\qqqq+87\\q^3q^1+87\\90\sqrt[3]{90}+87\)

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

\(V(x) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6\)

Step-by-step explanation:

The volume of a rectangular prism is found using the formula: V = lwh.

In order to write a formula in terms of the variable x, we need to write expressions for the length, width, and height of the rectangle.

We can say the length is the bottom of the base of the prism. To find this value, we can subtract x and x from 15 and divide this by 2, since there are two equal rectangles (base and lid).

We can say the width is the side of the base of the prism. To find this value, we can subtract 2x from 10.

The height of the prism can be x, which is the labeled length of the rectangle next to the base and lid.

Now we are able to write a formula for volume in terms of x.

The domain of the volume is where x > 0, 2x < 10, and 2x < 15.

This is because our expressions for length (\(\frac{15-2x}{2}\)), width (10-2x), and height (x) cannot go below 0, because you cannot have a negative value for measurement - realistically.

Therefore, if we take into account all of these restrictions on x, the domain is where 0 < x < 5.

x cannot be > 5 since that would not satisfy 2x < 10.

The domain of V for this problem situation is D: (0, 5).

In order to find the maximum volume of the rectangular prism using our formula we derived, we can use the idea of optimization in calculus.

Start by taking the derivative of V(x).

Set the derivative equal to 0. This gives us the critical point(s) in order to determine the extreme values of the function, aka where the max and min occur.

Solve for x by using the quadratic formula.

Input this into your calculator and you should get:

We are going to use x = 1.96 since 6.37 is NOT in the domain of V(x).

Now, since this value of x is going to give the maximum volume of this rectangular prism, or cardboard box, we can plug it back into the V(x) equation for volume to determine the maximum volume of the box.

The maximum volume of the cardboard box is 66.02 in³ and the value of x that gives this is 1.96.

Answer:

191 ft

Step-by-step explanation:

If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.

2*45.5ft + 2*50ft = 91ft + 100ft = 191ft

Answer:

  6                    2.83

    4                   2

Step-by-step explanation:

Answer:

y = x - 8

Step-by-step explanation:

Slope intercept form:  y = mx + b, where b is the y-intercept.

Solve the given equation for y and then compare the result with this y = mx + b:

3y = 3x - 24

Dividing all three terms by 3 yields:

y = x - 8 (answer).  The slope is 1 and the y-intercept is -8.

Answer:

Percent error = 11.6%

Step-by-step explanation:

Given the following data;

Actual height, A = 14.7 m

Estimated height, E = 13 m

a. To find the absolute error;

Absolute error = A - E

Absolute error = 14.7 - 13

Absolute error = 1.7

b. To find the percent error;

Percent error can be defined as a measure of the extent to which an experimental (estimated) value differs from the actual or theoretical value.

Mathematically, it is given by this expression;

\( Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100\)

Substituting into the equation, we have;

\( Percent \; error = \frac {13 - 14.7}{14.7} *100\)

\( Percent \; error = \frac {1.7}{14.7} *100\)

\( Percent \; error = 0.1157 *100\)

Percent error = 11.57 ≈ 11.6%

Answer:

Step-by-step explanation:

speed=distance/time

20 minutes=1/3 hours

=3*3/1

=1miles/hour

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

Step-by-step explanation:

The problem bothers on the dimension of a scaled drawing/prototype

The indications on the blueprint actually represent the scale

 that is 1 inch: 3.5 feet

Given that a wall is 6 inches on the blueprint, now, in reality, the  actual    

 length will be 3.5*6= 21 feet

Usually, the scale is given as a ratio. A drawing, which has been reduced or enlarged or a drawing whose dimensions have been changed to a particular size other than its previous or initial size is a scaled drawing.

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)

\( x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 \)

\(x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 \)

\(x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2\)

\(x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 \)

Answer:

The answer is 7.5

Step-by-step explanation:

3x+18=9x−27

3x+18−9x=9x−27−9x

−6x+18=−27

−6x+18−18=−27−18

−6x=−45

−6x /−6 = −45 /−6

x =  15 /2  which is equal to 7.5 as a decimal.  

Answer:

They are both wrong

Step-by-step explanation:

exponents are repeated multiplication. so it would be 2*2*2*2... that 28 times.

Answer:

A and B

Step-by-step explanation:

The surface area is found by calculating the 6 faces of a 3-d object. Since A and B are the only ones that cause you to use the whole object for the given task the answers are A and B.

Answer: The other person is correct its A and B

Explanation:

Answer:

The probability is P(500 < X  < 700 ) =  0.60044

Step-by-step explanation:

From the question we are told that

    The mean is  \(\mu = 544\)

     The standard deviation is  \(\sigma = 103\)

Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as

      \(P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

      \(P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )\)

=>   \(P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )\)

Generally from the z-table, the area under the normal curve to the left corresponding to    1.5146 and     -0.4272  is

  P(  Z<  1.5146 )  =  0.93506

   P ( Z <   -0.4272 ) = 0.33462

So

       P(500 < X  < 700 ) =  0.93506 -  0.33462

=>    P(500 < X  < 700 ) =  0.60044

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Answer:

$85

Step-by-step explanation:

First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10  which equals 85. Brainliest?

Answer:

 37543.3333333 meters per hour

Step-by-step explanation:

Answer:

165 minutes

Step-by-step explanation:

To solve for the number of minutes that Joaquin played for, we can use this expression:

(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)

Subtracting 1:10 from each side:

1:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.

So, the expression is now:

So, 2 hours and 25 minutes passed.

If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:

Now we need to add on the number of minutes and the time it took him to get home:

Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.

Answer:

x = -14

Step-by-step explanation:

- x + 8 + 3x = x - 6

- x + 8 + 3x - x + 6 = 0

x + 14 = 0

x = -14

Answer:

29

Step-by-step explanation:

\(2x+(3y+z^2)\\=2*2+(3*3+4^2)\\=4+(9+16)\\=4+25\\=29\)

Answer:

21 OR 29

Step-by-step explanation:

I can't tell whether the star symbol is supposed to be for multiplication or to signify an exponent, so just to be safe, let's solve it for both ways. :)

MULTIPLICATION

First, let's substitute the known values in for the variables:

2(2) + (3(3) + (4)2)

Then, multiply and add:

4 + (9 + 8) = 4 + 17 = 21

EXPONENT

First, substitute known values in for variables:

2(2) + (3(3) + (4)^2)

Then, multiply and add:

4 + (9 + 16) = 4 + 25 = 29

Hope this helped!

Answer:

3

Step-by-step explanation:

_42÷ (-8+-6

-42÷-14

3

this is the answer

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

2081 is the estimated population of the deer as per the given table.

We assume that the characteristics of the sample of the deer population match the characteristics of the population as a whole. This will be the case if the sample is random: each deer is equally likely to be included in the sample.

So, if 85 of the 110 marked deer show up in the sample, we assume that the sample is 85/110 of the entire population.

For a sample size of 1608 deer, that means the population is estimated to be ...

 1608 = 85/110 × population

 population = 1608 × 110/85 = 2081

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Answer:

  C.  -(w -16)² +256

Step-by-step explanation:

You want the vertex form of the function A(w) = 32w -w².

We can factor out the leading coefficient, then "complete the square."

  A(w) = -(w² -32w)

The square is completed by adding and subtracting (32/2)² = 256.

  A(w) = -(w² -32w +256) +256

  A(w) = -(w -16)² +256 . . . . . matches C

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