deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami. What percent of sandwiches sold were NOT pastrami

Answer:

20

Step-by-step explanation:

x^2 -y +1

Let x =5 and y = 6

5^2 -6+1

25-6+1

19+1

20

The real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12 are -1 and -3.

To find the real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12, we can use the Rational Root Theorem.

In this case, the constant term is 12 and the leading coefficient is 1. Therefore, the possible rational roots are ±1, ±2, ±3, ±4, ±6, ±12.

We can use synthetic division to check if any of these are roots of the polynomial. Trying each of the possible roots, we find that -1 and -3 are roots of the polynomial. Using synthetic division with these roots, we get:

(x+1) | 1  3  5  15  4  12
    |   -1  -2  -3 -12 -16
    |-------------------
     1  2  3  12 -8  -4

and

(x+3) | 1  3  5  15  4  12
    |    3  18  69 252 768
    |-------------------
     1  6  23  84 256 780

Therefore, the real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12 are -1 and -3.

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Answer: \(x=0\text{ and }x=e^4\)

Step-by-step explanation:

Given function: \(f(x) = \ln(4 - \ln(x))\)

Since, \(\ln 0=\infty\)

Here, if

\(f(x)\to \infty\\\Rightarrow\ 4-\ln x=0\Rightarrow\ln x=4\Rightarrow\ x=e^4\\\text{OR}\ln x=\infty\Rightarrow\ x=0\)

Hence, the vertical asymptotes of f(x) are:

\(x=0\text{ and }x=e^4\).

Using it's concept, it is found that the vertical asymptotes of the function are: \(\mathbf{x = 0, x = e^4}\)

A vertical asymptote of a function f(x) are the values of x for which the function is outside it's domain.

For the ln function, that is, \(\ln{g(x)}\), they are the values of x for which:

\(g(x) = 0\)

In this problem, the function is:

\(f(x) = \ln{(4 - \ln{(x)})}\)

For the inner function, x = 0 is a vertical asymptote, as \(\ln{0}\) is outside the domain.

For the outer function:

\(4 - \ln{(x)} = 0\)

\(\ln{(x)} = 4\)

\(e^{\ln{(x)}} = e^4\)

\(x = e^4\)

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Answer: 15

Step-by-step explanation:

The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15

The radius of the inflated beach ball is equal to 58 inches.

Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.

Given: The volume of the sphere is 14,310 inches³

we know the volume of the sphere is  4/3 πr³

Thus equating we get

4/3 × 3.14×r³=14310

r³=3417.99

r³=3418

r=58.463 or 58 (approx)

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A researcher predicted that coffee drinkers would perform better on a cognitive task than non-coffee drinkers. Ten subjects were recruited, half of whom drank coffee and half of whom did not. Cognitive performance was measured with a possible score worth 10 points (scores could range from 0-10). The results showed that there was no significant difference in cognitive performance between coffee drinkers and non-coffee drinkers.

To analyze the data and draw conclusions, a t-test for independent samples would need to be conducted. The dependent variable in the study is the cognitive performance score on the task, measured on a scale from 0 to 10.The level of measurement for the dependent variable is interval, as it represents a numerical score on a scale. The independent variable in the study is whether the subjects drank coffee or not. The degrees of freedom for obtaining the critical value would be (n1 + n2 - 2), where n1 and n2 are the sample sizes of the coffee and no coffee groups, respectively. False, this is a one-tailed analysis, as the researcher predicted that coffee drinkers would perform better, implying a directional hypothesis. With α = 0.05, the critical value for the t-test would depend on the degrees of freedom and the chosen significance level. The observed test statistic would be calculated during the analysis using the provided data, and its specific value is not given in the question. Based on the observed test statistic, conclusions can be drawn regarding the statistical significance of the difference in cognitive performance between coffee and non-coffee drinkers. When explaining the results to friends, it would be best to discuss the statistical significance or lack thereof, comparing the cognitive performance scores between the coffee and non-coffee drinking groups.

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The number the teacher gave Ross is 5127

From the question, we are to determine the number that the teacher gave Ross

From the given information,

Mr. David gave Ross a number and asked him to divide it by 15.

Let the number be x

That is,

x/15

The quotient and remainder obtained by ross are 341 and 12 respectively

That is,

x/15 = 341 + 12/15

Now, we will solve the equation for x

x/15 = 341 + 12/15

Multiply through by 15

x = 15×341 + 12

x = 5115 + 12

x = 5127

Hence, the number the teacher gave Ross is 5127

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Answer:

yes

Step-by-step explanation: :)

Answer: yes

Step-by-step explanation:

The actual length of the dragonfly if the drawing is 8. 5 cm, can be found to be 6. 375 mm

The scale on the science textbook is such that every 4 cm of the drawing of an insect is the same as 3 mm of the actual insect.

If a drawing is 8. 5 cm therefore, the actual length of the dragonfly would be :

= ( Drawing length of dragonfly x Scale of insect ) / Drawing scale of insect

The actual length is therefore :

= ( 8. 5 x 3 ) / 4

= 6. 375 mm

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Answer:

wall to bottom of ladder =8 feet

Step-by-step explanation:

using the Pythagorean theorem

ladder length=2W+1

(2W+1)^2=15^2+W^2

4W^2+4W+1=225+W^2

simplify

3W^2+4W-224=0

divide by 3

w^2+1.33W-74.6=0

factor

(W+9.3)(W-8)=0

W=8 feet

Answer:

72/100/=18+243*456*43491/45465+451365-42565=

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

Step-by-step explanation:

We know that:

Surface area is the area of the faces of the cuboid.

Work:

Hence, Option C is correct.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

$39.22

Step-by-step explanation:

The case costs $37. $37 is 100% of the price of the case.

The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.

The total price including tax is 106% of the price of the case.

106% of $37 = 1.06 * $37 = $39.22

Answer: $39.22

Answer:

33

Step-by-step explanation:

if you are looking for the simplified expression

Answer:(2, 4)

Step-by-step explanation:

Main Answer:  P =\(\left[\begin{array}{cc}4&1\\7&1\end{array}\right]\) is a non-singular matrix P such that( P^−1)AP is diagonal.

Supporting Question and Answer:

How do we determine if a matrix is diagonalizable?

A square matrix is diagonalizable if and only if it has n linearly independent eigenvectors, where n is the dimension of the matrix. To check if a matrix is diagonalizable, we need to find the eigenvalues and corresponding eigenvectors. If the matrix has n linearly independent eigenvectors, then it is diagonalizable; otherwise, it is not.

Body of the Solution:To determine if a nonsingular matrix P exists such that P^(-1)AP is diagonal, we need to check if matrix A is diagonalizable. A square matrix A is diagonalizable if and only if it has n linearly independent eigenvectors, where n is the dimension of the matrix.

Let's find the eigenvalues and eigenvectors of matrix A:

First, we compute the characteristic polynomial by subtracting λ (the eigenvalue) times the identity matrix from matrix A:

A - λI =\(\left[\begin{array}{cc}12-\lambda&-4\\-3&1-\lambda\end{array}\right]\)

The determinant of (A - λI) should be zero to find the eigenvalues:

det(A - λI) = (12-λ)(1-λ) - (-4)(-3) = λ^2 - 13λ + 40 = (λ - 5)(λ - 8)

Setting this expression equal to zero, we find two eigenvalues: λ1 = 5 and λ2 = 8.

To find the eigenvectors corresponding to each eigenvalue, we substitute the eigenvalues back into (A - λI) and solve the resulting system of equations.

For λ1 = 5:

(A - 5I)x = 0

|\(\left[\begin{array}{cc}12-5&-4&\\-3&1-5\end{array}\right] \left[\begin{array}{c}x1\\x2\end{array}\right] =\left[\begin{array}{cc}0&0\\0&0\end{array}\right]\)

Simplifying this system of equations, we have: 7x1 - 4x2 = 0 ---> 7x1 = 4x2 ---> x1 = 8/7

Choosing x2 = 7 as a free variable, we obtain the eigenvector:

v1 = \(\left[\begin{array}{c}8/7\\x2\end{array}\right]\)

Choosing x2 = 7, we have v1 = \(\left[\begin{array}{c}4\\7\end{array}\right]\)

Similarly, for λ2 = 8:

(A - 8I)x = 0

(A - 8I)x = 0

\(\left[\begin{array}{cc}12-8&-4\\-3&1-8\end{array}\right] \left[\begin{array}{c}x1\\x2\end{array}\right] =\left[\begin{array}{c}0\\0\end{array}\right]\)

Simplifying this system of equations, we have: 4x1 - 4x2 = 0 ---> 4x1 = 4x2 ---> x1 = x2

Choosing x2 = 1 as a free variable, we obtain the eigenvector: v2 =\(\left[\begin{array}{c}x1\\x2\end{array}\right]\)

Choosing x2 = 1, we have v2 =\(\left[\begin{array}{c}1\\1\end{array}\right]\)

Since we have found two linearly independent eigenvectors, the matrix A is diagonalizable.

To construct the diagonal matrix D, we place the eigenvalues on the diagonal in the same order as the corresponding eigenvectors. Thus, we have:

D =\(\left[\begin{array}{cc}5&0\\0&8\end{array}\right]\)

To construct the matrix P, we place the eigenvectors of A as columns in the same order as the eigenvalues in D. Thus, we have:

P =\(\left[\begin{array}{cc}4&1\\7&1\end{array}\right]\)

Finally, we need to find the inverse of P

(P^(-1)):

P^(-1) = (1/(-3))\(\left[\begin{array}{cc}1&-1\\-7&4\end{array}\right]\)

Therefore, the non-singular matrix P such that P^(-1)AP is diagonal exists.

Final Answer: Thus, the non-singular matrix P such that P^(-1)AP is diagonal exists.

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Answer:

The person on the Ferris wheel will be 63 ft above the ground at;

Explanation:

Given that the height of the function can be modeled using the function;

For the person to be 63 ft above the ground;

solving further;

Therefore, the person on the Ferris wheel will be 63 ft above the ground at;

Answer:

1, Stay calm

2, be confident

3, if you know the type of questions they are gonna ask practiece those type of questions

Also good luck

Answer:

9/12 + 4/12

Step-by-step explanation:

Find the lowest common denominator. 12 is divisible by 4 and 6.

4 x 3 =12 and 6x2 =12

3/4 x 3/3 =9/12

2/6 x 2/2= 4/12

The equation of the line L in point-slope form is y - y1 = (-1/2)(x - x1).

The equation of the line L in slope-intercept form is y = (-1/2)x + b, where b is y1 + (1/2)x1.

Point-slope form of the equation of a line: The point-slope form is defined as;

y - y1 = m(x - x1)

The equation of a line L in point-slope form that is perpendicular to y = 2x is:

y - y1 = m(x - x1)

where m is the slope of the line L.

To determine the slope of a line perpendicular to another line, we use the formula,

m = -1/m1,

where m1 is the slope of the other line y = 2x.

Therefore, the slope of the line L is m = -1/2.

The equation of the line L is, therefore,

y - y1 = m(x - x1)

y - y1 = (-1/2)(x - x1)

This is the equation of the line L in point-slope form.

Slope-intercept form of the equation of a line: The slope-intercept form is defined as y = mx + b, where m is the slope of the line and b is the y-intercept.

The equation of the line L in slope-intercept form can be obtained by simplifying the equation obtained in point-slope form. The equation is:

y - y1 = (-1/2)(x - x1)

y - y1 = (-1/2)x + (1/2)x1 + b,

where b = y1 + (1/2)x1.

The equation of the line L in slope-intercept form is:

y = (-1/2)x + b

The conclusion is, the equation of the line L in point-slope form is,

y - y1 = (-1/2)(x - x1)

The equation of the line L in slope-intercept form is y = (-1/2)x + b, where b is y1 + (1/2)x1.

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Answer : No

◊ YusuCr ◊

Enjoy.

Answer:

they are not equal

Step-by-step explanation:

14/20

Divide the top and bottom by 2

7/10

16/24

Divide the top and bottom by 8

2/3

Getting a common denominator of 30

7/10 *3/3 = 21/30

2/3 *10/10 = 20/30

They are not the same value

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

\(\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)\)

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

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Answer:Option A

Step-by-step explanation:

Answer:

PT = 24

Step-by-step explanation:

PT = TQ

3x + 6 = 5x - 6

12 = 2x

x = 6

PT = 3(6) + 6

PT = 18 + 6

PT = 24

Answer:

24

Step-by-step explanation:

From the pic,PT=TQ

therefore,

3x+6=5x-6

5x-3x=6+6

2x=12

therefore, x=12/2

                  =6

therefore, PT=3×6+6

                      =24

Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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The correct answer is (a) yes; the equilateral triangle tessellates the plane.

A tessellation is a tiling of the plane using one or more geometric shapes without any gaps or overlaps. For a regular polygon to tessellate the plane, the sum of its interior angles must be a multiple of 360 degrees.

For an equilateral triangle, each angle measures 60 degrees, so the sum of the angles in a triangle is 180 degrees. Therefore, the sum of the interior angles in a tessellation of equilateral triangles must be a multiple of 180 degrees.

Since the measure of the interior angle of an equilateral triangle is 60 degrees, we can tile the plane with equilateral triangles meeting at each vertex. At each vertex, the sum of the interior angles of the three triangles is 180 degrees, so the tessellation meets the requirement that the sum of the interior angles is a multiple of 360 degrees.

Therefore, the answer is (a) yes; the equilateral triangle tessellates the plane.

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Answer:

The probability that a Dutch male is between 173.5 and 191.5 cm is 0.616

or 61.6%

Step-by-step explanation:

Mean = M = 182.5

Standard Deviation = S = 10.3,

We need to find the z values and then calculate the probabilities,

Probability of being lower than 173.5,

P(X < 173.5),

Finding the z value,

z = (x - M)/S

z = (173.5 - 182.5)/10.3

z = -0.87

Then the corresponding value for the area and hence the probability is,

P(X<173.5) = P(z = -0.87) = 0.1922

P(X < 173.5) = 0.1922

Probability of being lower than 191.5,

P(X<191.5)

Finding the z value,

z =(x-M)/S

z = (191.5 - 182.5)/10.3

z = 0.87

Then the corresponding value for the probability is,

P(X < 191.5) = 0.8078

The probability that a Dutch male is between 173.5 and 191.5 cm is,

P(173.5 < X < 191.5) = P(X < 191.5) - P(X < 173.5)

P(173.5 < X < 191.5) = 0.8078 - 0.1922

P(173.5 < X < 191.5) = 0.6156

To 3 decimal places,

P(173.5 < X < 191.5) = 0.616

P(173.5 < X < 191.5) = 61.6%

The area of the isosceles trapezoid is 37.25 unit².

An isοsceles trapezοid is a trapezοid with cοngruent base angles and cοngruent nοn-parallel sides. A trapezοid is a quadrilateral with οnly οne side parallel.

An isοsceles trapezοid can be defined as a trapezοid whοse nοn-parallel sides and base angles have the same measure. That is, if the twο οppοsite sides (bases) οf a trapezοid are parallel and the twο nοn-parallel sides are οf equal length, it is an isοsceles trapezοid. See the diagram belοw.

Area of trapezium = 1/2(h)(a + b)

where h =  height

a =  smaller base = 10

b = larger base = 15

Now to find height, we see a triangle at the end of trapezium, draw the imaginary altitude

Now, the base = 5/2     ⇒(15 - 10= 5)/2

= 2.5

Using trigonometry ratio

tan(θ) = Height/ Base

tan(40°) = Height/ 2.5

0.8391 = Height/ 2.5

Height = 2.5/ 0.8391

Height ≈ 2.98

Now, The area = 1/2(2.98)(10 + 15)

= 1/2(2.98)(10 + 15)

= 37.25 unit²

Thus, The area of the isosceles trapezoid is 37.25 unit².

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