If you go on both rides, can you be confident that your wait time for Speed Slide will be longer than your wait time for Wave Machine? Yes. Every Speed Slide wait time is more than every Wave Machine wait time. No. There is a lot of overlap in the two data sets.​

Answer:

\(\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}\)

\(p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)\)

on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.

Therefore , putting the value of x as ( x = -2 )

\(p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5\)

\(p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)\)

also given that..

when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)

putting value of x = 1/2 in equation (1)

\(p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)\)

4a + b = 26... (2)

a + 4b = -56... (3)

16a + 4b = 104...(4)

a ‎ ‎ ‎ ‎ ‎+ 4b = -56

16a + 4b = 104

solving these equations we get,

-15a = -160

a = -160/-15

a = 32/3

\(4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}\)

hope helpful~

c =

a

sin(α)

= 51.13963

b = √c2 - a2

= √51.1396257719972 - 82

= √2551.2613240999

= 50.51001

∠β = 90° - ∠α

= 81° = 1.41372 rad = 9/20π

area =

a × b

2

=

8 × 50.5100121174

2

= 202.04005

perimeter = a + b + c

= 8 + 50.5100121174 + 51.139625771997

= 109.64964

inradius =

a × b

a + b + c

=

404.0800969392

109.6496378894

= 3.68519

circumradius =

c

2

=

51.139625771997

2

= 25.56981

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer:

176.3 mm

Step-by-step explanation:

V = lwh

V = 5 * 4.3 * 8.2

V = 21.5 * 8.2

V = 176.3 mm

Answer:

176.3 mm³

Step-by-step explanation:

Volume= length×width×height

v= 8.2mm×5mm×4.3mm

v= 176.3 mm³

hope it helps!

Answer:

$198

Step-by-step explanation:

Given data

WholeSale price= $165

Markup = 20%

Let us find the amount of the markup

=20/100*$165

=0.2*165

=$33

Hence the cost of the chair will be

=33+165

=$198

The point (-7, 1) is in fact a solution for the inequality y < 0.5x + 9

A point is a solution of a inequality only if it makes the truth value of the inequality true.

In this case, it would mean that the right side of the inequality is strictly larger than the left side.

So to check that, we just need to replace the values of the point on the inequality.

The values are x = -7 and y  = 1, replacing that in the given inequality we will get:

1 < 0.5*(-7) + 9

1 < -3.5 + 9

1 < 5.5

This is true, 5.5 is larger than 1, then we conclude that the point (-7, 1) is in fact a solution for the inequality y < 0.5x + 9

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Answer:

y = -4/5x + 2 & y = -2/7x - 4/7

Step-by-step explanation:

(4x) - 5y = -10                                             (2x) - 7y = 4

Move 4x on the same side as -10            Move 2x on the same side as 4

-5y = 4x -10                                                -7y = 2x + 4

Divide -5 to both sides                              Divide -7 by both sides

That should isolate the y for both equations.

4x/-5 = -4/5x....-10/-5 = 2                            2x/-7 = -2/7x....4/-7 = -4/7

y = -4/5x + 2                                                y = -2/7x - 4/7

If that wasn't the answer to your question, I'm sorry.

But if it did, then your welcome.

Answer:

37/6

Step-by-step explanation:

The improper fraction is 37/6.

What is improper fraction?

An improper fraction is defined as a fraction whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y. It is therefore, the improper fraction is always greater than one.

Fractions have two parts, numerator and denominator. If  ⅓ is a fraction, then 1 is the numerator, and 3 is the denominator. An improper fraction has a numerator greater than the denominator. For example, 3/2 is an improper fraction.

Given fraction is \(6\frac{1}{6}\)

firstly we will multiply 6 by 6 and then we will add 1

(36+1)/6

= 37/6

Which is improper fraction.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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The power of a statistical test is the probability that the test will correctly reject the null hypothesis when the alternative hypothesis is true.

The power of a statistical test is the probability that the test will correctly reject the null hypothesis when the alternative hypothesis is true. This means that the test has the capability to detect a true difference in the population when the alternative hypothesis is true. It is also related to the probability of a Type II error, which is the probability of not rejecting the null hypothesis when the alternative hypothesis is true. In other words, the power of the test is the probability of rejecting the null hypothesis when the alternative hypothesis is true.

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Answer:

I think it’s (4,1)

Answer:

  57.95

Step-by-step explanation:

The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.

If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.

If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

The foam are used to package this product is cubic centimeters.

The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.

Area of rectangular prism = 2(length x width + length x height + width x length)

Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)

= 10080 cubic centimeters

Let's find the base area:

The formula to find the base area is,

B = ½bh

Triangle area = 1/2 x 15 x 20 x 6

Triangle area = 900

10080 - 900 = 9180

Hence, the foam are used to package this product is cubic centimeters.

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Answer: 7, 28, 63, 112, 175, 252, ...

Step-by-step explanation:

7, 28, 63, 112, ...

7*1, 7*4, 7*9, 7*16, ...

7*1², 7*2², 7*3^2, 7*4², ...

Hence, 7n², n=1, 2, 3, 4, ...

7*5²=

7*5*5=

175

7*6²=

7*6*6=

252

Thus,

7, 28, 63, 112, 175, 252, ...

Answer:

86

Step-by-step explanation:

43 x 2=86

The decision with the highest EU is "Keep Current Operations" with an EU of 281. The Final Expected Value using the EVUII method is 281.

To calculate the Final Expected Value (EV) using the EVUII (Expected Value of Utility Information) method, we need to calculate the Expected Utility (EU) for each decision and then choose the decision with the highest EU.

Let's calculate the EU for each decision:

1) EU for "Sell Company":

EU(Success) = 0.5 * 232 = 116

EU(Moderate) = 0.3 * 350 = 105

EU(Failure) = 0.2 * 100 = 20

EU(Sell Company) = EU(Success) + EU(Moderate) + EU(Failure) = 116 + 105 + 20 = 241

2) EU for "Form Joint Venture":

EU(Success) = 0.5 * 322 = 161

EU(Moderate) = 0.3 * 220 = 66

EU(Failure) = 0.2 * 220 = 44

EU(Form Joint Venture) = EU(Success) + EU(Moderate) + EU(Failure) = 161 + 66 + 44 = 271

3) EU for "Sell Software on own":

EU(Success) = 0.5 * 252 = 126

EU(Moderate) = 0.3 * 222 = 66.6

EU(Failure) = 0.2 * 271 = 54.2

EU(Sell Software on own) = EU(Success) + EU(Moderate) + EU(Failure) = 126 + 66.6 + 54.2 = 246.8

4) EU for "Keep Current Operations":

EU(Keep Current Operations) = 281

Now, we compare the EU for each decision to determine the one with the highest EU:

EU(Sell Company) = 241

EU(Form Joint Venture) = 271

EU(Sell Software on own) = 246.8

EU(Keep Current Operations) = 281

The decision with the highest EU is "Keep Current Operations" with an EU of 281.

Therefore, the Final Expected Value using the EVUII method is 281.4

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Answer:

2 bags

Step-by-step explanation:

what you need to do is find the GCF or greatest common factor. which is a number they can all be divided by. 30 can be divided by 2 24 can be divided by 2 and 40 can be divided by 2. so in conclusion, in order to use every treat, and have an equal amount of treats in every bag, you can make 2 bags.

Answer:

Corresponding angles

Alternate Exterior Angles

Alternate Interior Angles

I hope this helps I may be wrong I am sorry if i am

Answer:

numbers 1 and 5

Step-by-step explanation:

i toook the test

Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

Answer:

$119.07

Step-by-step explanation:

I hope this helps!

Answer:

119.07

Step-by-step explanation:

952.56/8 = 119.07

Answer: 10.49026 = 10.5

Step-by-step explanation:

The length of the side q of the triangle OPQ is 10.5 inches.

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in a triangle OPQ, O = 4.4 inches, p = 9.6 inches and ∠Q=89°, we need to find the measurement of side q,

So, using cosine law for triangles,

q² = p²+o²-2poCos(89°)

= 4.4²+9.6²-2(4.4)(9.6)Cos(89°)

= 10.5

Hence, the length of the side q of the triangle OPQ is 10.5 inches.

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Answer:

relation

Step-by-step explanation:

Answer: Choice D)  7.5 inches, 18 inches, 19.5 inches

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

Explanation:

The Pythagorean theorem converse can be used to determine if we have a right triangle or not.

The converse says that if a^2 + b^2 = c^2 is a true equation, then we have a right triangle.

The value of c is always the longest side. The order of 'a' and b doesn't matter (usually b is larger than or equal to 'a'). So we could have \(a \le b < c\) or \(b \le a < c\), but convention usually leans toward the first inequality mentioned.

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

In choice A, we have the following steps

a^2 + b^2 = c^2

(7.5)^2 + (18)^2 = (21.5)^2

380.25 = 462.25

Since the third equation is false, this means the first equation is false for those a,b,c values. Choice A is not a right triangle. We can cross it off the list.

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

In choice B, we have a = 7.5, b = 19.5 and c = 21.5

So,

a^2 + b^2 = c^2

(7.5)^2 + (19.5)^2 = (21.5)^2

436.5 = 462.25

which is also false. Cross choice B off the list.

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

With choice C we have: a = 18, b = 19.5, c = 21.5

a^2 + b^2 = c^2

(18)^2 + (19.5)^2 = (21.5)^2

704.25 = 462.25

Cross choice C off the list since the third equation is false.

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

In choice D, we have the sides a = 7.5, b = 18, c = 19.5

a^2 + b^2 = c^2

(7.5)^2 + (18)^2 = (19.5)^2

380.25 = 380.25

We get the same number on both sides, so the third equation is true. Consequently, this leads to the first equation being true for those a,b,c values. Choice D is a right triangle, and it's the final answer.

Independent groups designs and within-subjects designs both have their advantages and disadvantages, and the choice of which design to use depends on various factors such as the research question, the nature of the dependent variable, and practical considerations such as time and resources.

Independent groups designs allow for the comparison of two or more groups of participants, but they are vulnerable to individual differences between participants and possible confounding variables that may affect the results. Within-subjects designs eliminate individual differences and increase statistical power, but they are vulnerable to order effects and demand characteristics that may bias the results.

In general, researchers should carefully consider the strengths and weaknesses of both designs and choose the design that best suits their research question and hypotheses.

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im pretty sure its 8.94