There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.​

Answer:

Step-by-step explanation:

Joey wants the relation between 7, 10, and x that will show a triangle with sides 7, 10, and x is a right triangle, where x < 10.

There are two features of a right triangle that are of interest here.

Since the side with measure x is less than 10, the side of length 10 is the longest, hence the hypotenuse.

The Pythagorean theorem tells us the sum of the squares of the legs is equal to the square of the hypotenuse for a right triangle. Showing this condition is met is sufficient to show that the triangle is a right triangle.

For legs x and 7, and hypotenuse 10, this is ...

  x² + 7² = 10²

Jorge must show that x² + 7² and 10² have the same value.

Answer:

25.5 hours

Step-by-step explanation:

Delivery cycle time is the time span from when an order is made by a customer and the time the order is delivered to the customer.

Delivery cycle time = Wait time +  Move time + Queue time + Process time + Inspection time

12.6 + 4.3 + 6.0 + 1.7 + 0.9 = 25.5

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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A. No. The spinner is not fair because there are more sections than sections. A fair spinner will have 2 sections of each size.
C.
Yes. The spinner is fair because there are the same number of sections and sections.

A spinning gadget used in games to select a number or symbol. A fidget spinner is a toy that comprises of a ball bearing in the centre of a multi-lobed (usually three) flat metal or plastic frame.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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q=-2/3

decimal form - 0.666666

According to the question, there are 38,760,720 possible samples in the sample space when selecting 5 objects from a set of 56 objects.

To determine the total number of samples in the sample space, we need to calculate the number of possible arrangements or permutations of selecting 5 objects from a set of 56 objects.

The formula to calculate permutations is given by:

\(\[ P(n, r) = \frac{n!}{(n-r)!} \]\)

Where n represents the total number of objects and r represents the number of objects being selected.

In this case, we have 56 objects and we want to select 5 objects. Using the permutation formula, we can calculate the total number of samples:

\(\[ P(56, 5) = \frac{56!}{(56-5)!} \]\)

Simplifying the expression:

\(\[ P(56, 5) = \frac{56!}{51!} \]\)

Calculating the factorials:

\(\[ P(56, 5) = \frac{56 \times 55 \times 54 \times 53 \times 52}{1} \]\)

Thus, the total number of samples in the sample space is:

\(\[ P(56, 5) = 38,760,720 \]\)

Therefore, there are 38,760,720 possible samples in the sample space when selecting 5 objects from a set of 56 objects.

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The multiplicative inverse of (x^6 + x^5 + x^2 + 1) modulo (x^8 + x^6 + x^5 + x^2 + 1) in GF(2^8) is (x^7 + x^4 - x - 1).

We are given the polynomial (x^6 + x^5 + x^2 + 1) and we want to find its multiplicative inverse modulo (x^8 + x^6 + x^5 + x^2 + 1) in GF(2^8).

Perform polynomial division

We divide the modulo polynomial by the given polynomial:

(x^8 + x^6 + x^5 + x^2 + 1) = (x^6 + x^5 + x^2 + 1)(x^2 + x) + (x^5 + x^2 + 1)

We have obtained the remainder (x^5 + x^2 + 1) and updated the polynomials.

Continue polynomial division

We divide the previous divisor (x^6 + x^5 + x^2 + 1) by the remainder:

(x^6 + x^5 + x^2 + 1) = (x^5 + x^2 + 1)(x + 1) + (x^4 + x^3 + 1)

Again, we have obtained the remainder (x^4 + x^3 + 1) and updated the polynomials.

Repeat division

We continue dividing the previous divisor by the remainder:

(x^5 + x^2 + 1) = (x^4 + x^3 + 1)(x + 1) + (x^3 + x + 1)

Once again, we have obtained the remainder (x^3 + x + 1) and updated the polynomials.

Final division

We continue dividing the previous divisor by the remainder:

(x^4 + x^3 + 1) = (x^3 + x + 1)(x + 1) + 0

At this point, the remainder is zero, and we have reached the end of the Euclidean algorithm.

Finding the inverse

Now, we need to find the Bezout coefficients to determine the inverse. We can work our way up to the given equation, replacing the remainders with the previous polynomials, as follows:

(x^4 + x^3 + 1) = (x^5 + x^2 + 1) - (x^3 + x + 1)(x + 1)

(x^3 + x + 1) = (x^6 + x^5 + x^2 + 1) - [(x^8 + x^6 + x^5 + x^2 + 1) - (x^6 + x^5 + x^2 + 1)(x^2 + x) - (x^5 + x^2 + 1)](x + 1) - (x^5 + x^2 + 1)

(x^3 + x + 1) = (x^6 + x^5 + x^2 + 1) - (x^8 + x^6 + x^5 + x^2 + 1)(x + 1) + (x^6 + x^5 + x^2 + 1)(x^2 + x)(x + 1) + (x^5 + x^2 + 1)(x + 1) - (x^5 + x^2 + 1)

Simplifying the above equation, we obtain:

(x^3 + x + 1) = x^6 + x^7 + x^4 + x^3 + 1

0 = x^7 + x^4 - x - 1

Therefore, the multiplicative inverse of (x^6 + x^5 + x^2 + 1) modulo (x^8 + x^6 + x^5 + x^2 + 1) in GF(2^8) is (x^7 + x^4 - x - 1).

The intermediate steps of the Euclidean algorithm are shown to illustrate how we arrived at the inverse.

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The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

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It would take approximately 12 years for the property values to double.

According to the rule of 72, we can approximate the time it takes for an investment to double by dividing 72 by the annual growth rate.

In this case, if the value of land in an area is increasing by 6 percent per year, we can estimate how long it will take for property values to double by dividing 72 by 6, which equals 12.

Please note that the rule of 72 provides a rough estimate and assumes a constant growth rate, which may not always hold true in real-world scenarios.

It is important to consider other factors and perform a more detailed analysis when making financial decisions.

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Answer:

Aerobic

Step-by-step explanation:

Oxygen = aerobic

no oxygen = anaerobic

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

So, there is three pounds. Each bag gets a half pound. Two half pounds = one full pound. One full pound is two bags. Another pound is another two bags. And same with another. So that'd be 6 bags, one half pound each.

Answer:

t° = 11° s°= 71°

Step-by-step explanation:

79° + t° =90° (Given)

t°= 90° - 79°

t°= 11°

s°+79°+11°+19° =180° (angles on an str line)

s° = 180° - 109°

s° = 71°

Answer:

Step-by-step explanation:

A = \(\frac{hb}{2}\)

h = 10 cm , b = 17 cm

A = 10 × 17 ÷ 2 = 85 cm²

Answer:

A

\( \frac{6}{9} \\ if \: i \: divide \: by \: 3 \\ = \frac{6 \div 3}{9 \div 3} \\ = \frac{2}{3} \)

Answer:

60

Step-by-step explanation:

you can multiply 5 x 60 and get 300. Also 300 is close to 335 but it does go over 335.

Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].

Given the following coordinates:

Midpoint of GH --> m(-13/2,-6) = (x, y)

One endpoint ---> G(-4, 1) = (x1, y1)

The other endpoint ---> (x2, y2)

Plug in the values into the formula used in calculating the midpoint:

m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]

Solve for x2

-13/2 = (-4 + x2)/2

-13/2 × 2 = -4 + x2

-13 = -4 + x2

-13 + 4 = x2

-9 = x2

x2 = -9

Solve for y2

-6 = (1 + y2)/2

2(-6) = 1 + y2

-12 = 1 + y2

-12 - 1 = y2

-13 = y2

y2 = -13

Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

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Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

Answer:

one of them is two trapezoids

Step-by-step explanation:

Answer:

B. 6x5

Step-by-step explanation:

5*6=30

A) = 11

B) = 30

C) 23

D) = 6/5

Answer is B, 6*5=5*6

Answer:

A)5+6=11

B)6×5=30

C)11+12=23

D)6÷5=1.20

Answer: a negative integer, rational number, and real number

Step-by-step explanation:

I don’t know exactly what you’re asking but here you go

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

To find the length of the curve, we need to use the arc length formula:

L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.

First, we need to find dy/dx:

dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))

dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))

Now, we can substitute this into the arc length formula:

L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.

Simplifying the inside of the square root, we get:

L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.

We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):

L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.

Expanding the numerator, we get:

L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.

Simplifying the expression under the square root, we get:

L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.

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Answer:

x = 2

Step-by-step explanation:

If ΔCAB≅ΔIPS, the PS=AB

11x + 6 = 4(2x + 3)

11x + 6 = 8x + 12

3x = 6

x = 6/3 = 2

Answer:

Theo worked for 12 hours and Kade worked for 15

Step-by-step explanation:

if kade worked for 10 hours Theo works for 7 so in total they worked for 17 hours together. So what you do is you just continue counting kades hours, subtracting 3 then add those number together till you get the total of 27 hours.

Answer:

Theo worked for 12 hours and Kade worked for 15

Step-by-step explanation:

Answer:

1 quart = 0.945 liter

1 liter = 1.058 quarts

Step-by-step explanation:

Given that One quart of milk is about 945 millimeters of milk

1 quart = 945 millimeters

Recall that

1000 millimeters = 1 liter

Hence to compare a quart and a liter

945 millimeters = 945/1000 liter

= 0.945 liter

Hence

1 quart = 0.945 liter

Divide both sides by 0.945

1 liter = 1/0.945 quart

1 liter = 1.058 quart

Answer:

2/6

Step-by-step explanation: