I NEED HELP ASAP!!!!! There are 5 blue, 2 green, and 4 pink marbles in a bag. What is the probability of randomly selecting one green marble from the bag?
A. 2/11

B. 2/9

C. 1/3

D. 9/11

Answer:

Step-by-step explanation:

−4−8+j

=−4+−8+j

Combine Like Terms:

=−4+−8+j

=(j)+(−4+−8)

=j+−12

Answer:

=j−12

y < -2x - 1

Or it could be some variation of this, like 2x + y < -1

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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Point-slope form an equation of the line through the pair of points (2, 7) and (-4,1) is y = x + 5.

Given:

(2, 7) and (-4,1)

slope m = y2 - y1 / x2 - x1

= 1-7 / -4 -2

= -6/-6

= 6/6

= 1

substitute m and (2,7) in y = mx + c

7 = 1*2 + c

7 = 2 + c

c = 5

m and c values in y = mx + c

y = 1*x + 5

y = x + 5.

Therefore Point-slope form an equation of the line through the pair of points (2, 7) and (-4,1) is y = x + 5.

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Answer:

I'd use a ruler to get the line of best fit looking better, but other then that, good job- you did great.

Step-by-step explanation:

Answer:

Trinomial  of degree 2

Step-by-step explanation:

The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.

Also, the largest power for the variable  init (y) is the power 2, therefore it is a trinomial of degree 2.

Answer:

D) is your correct answer

Answer:

I don't see any symbols, so I'll simply compare the two measurements.

Step-by-step explanation:

2 yards and 4 inches

Each yard has 3 feet.  Each foot has 12 inches.  The total inches in 3 yards is therefore:

(2 yards)*(3 feet/yard)*(12 inches/Foot) = 72 inches  [Note how the units cancel to leave only inches]

This means we have a total of 72 + 4 inches = 76 inches total

19 Inches

Compared to 19 inches, 72 inches is almost 3.79 times longer.

The approximate angle between the base and a triangular face is; 79.43°

The dimensions of the pyramid are;

Side Length; a = 22 inches

Edge length; b = 61 inches

Using Pythagoras theorem:

h = height of pyramid

h = √(b² - 1/2a²)

h = √(61² - 22²/2)

h = √(3479)

h = 58.98

Slant height :

L = √(58.983² + 22²/4)

L =√(3479 + 121)

L = 60

Sinα = h/L

α = sin⁻¹(58.983/60)

α = 79.43°

That is the approximate angle found.

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Answer:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33

The answer of the given figure in the question is, the value of  EH is equal to 15 units.

Proportion is a statement that two ratio (or fractions) are equal. A proportion compares two or more quantities with the same units of measurement.

It can be written in different ways, but the most common is using the colon symbol or a fraction bar.

Since ABCD~EFGH, we know that the corresponding sides are proportional. That is:

AB/EF = AD/EH

Substituting the given values:

5/EH = 4/12

Cross-multiplying:

4EH = 60

Dividing both sides by 4:

EH = 15

Therefore, EH is equal to 15 units.

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We can obviously see the -2 point on the y - axis where the value of x is 0.

So the y-intercept is -2.

Now to simply find the slope.

Using the formula:

y2 - y1/x2 -  x1

Find two random points (preferably in the same quadrants):

(4, 1) and (8, 4)

Now we plug in:

8 - 4/ 4 - 1

4/1

4

Hence, the equation is y = 4x - 2.

Thanks.

To find the eigenvalues of the coefficient matrix A(t) in the given system:

dx/dt = 6x + 13y

dy/dt = -2x + 8y

We need to construct the coefficient matrix A(t) as:

A(t) = [[6, 13], [-2, 8]]

Next, we find the eigenvalues by solving the characteristic equation:

|A(t) - λI| = 0

where λ represents the eigenvalues and I is the identity matrix.

Using the coefficient matrix A(t), we have:

|6-λ, 13|

|-2, 8-λ|

Expanding the determinant, we get:

(6-λ)(8-λ) - (-2)(13) = 0

Simplifying further:

(48 - 14λ + λ^2) - 26 = 0

λ^2 - 14λ + 22 = 0

Applying the quadratic formula, we obtain:

λ = (14 ± √(14^2 - 4(1)(22))) / 2

λ = (14 ± √(196 - 88)) / 2

λ = (14 ± √108) / 2

λ = (14 ± 2√27) / 2

λ = 7 ± √27

Therefore, the eigenvalues of the coefficient matrix A(t) are 7 + √27 and 7 - √27.

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Answer:

420 m^2

Step-by-step explanation:

Ancho: x

Largo: 2x + 2

2x + 2(2x+2) = 88

2x + 4x + 4 = 88

6x = 88 - 4

x = 84/6

x = 14

Ancho: 14

Largo : 30

Area: 14 * 30 = 420 metros cuadrados

The number of integers in the set divisible by exactly one of 2, 3, 5, and 7 is therefore 211 and the total number of integers in the set divisible by exactly two of 2, 3, 5, and 7 is 101

To count the integers in the set {1, 2, 3, ..., 210} that are divisible by exactly one of 2, 3, 5, and 7, we need to use the principle of inclusion-exclusion.

The number of integers in the set divisible by 2 is 105.

The number of integers in the set divisible by 3 is 70.

The number of integers in the set divisible by 5 is 42.

The number of integers in the set divisible by 7 is 30.

The number of integers in the set divisible by 2 and 3 is 35.

The number of integers in the set divisible by 2 and 5 is 21.

The number of integers in the set divisible by 2 and 7 is 15.

The number of integers in the set divisible by 3 and 5 is 14.

The number of integers in the set divisible by 3 and 7 is 10.

The number of integers in the set divisible by 5 and 7 is 6.

The number of integers in the set divisible by exactly one of 2, 3, 5, and 7 is therefore:

105 + 70 + 42 + 30 - (35 + 21 + 15 + 14 + 10 + 6) = 211.

(b) To count the integers in the set {1, 2, 3, ..., 210} that are divisible by exactly two of 2, 3, 5, and 7, we can count the number of integers in the set that are divisible by each pair of these primes and add up the results.

The number of integers in the set divisible by 2 and 3 is 35.

The number of integers in the set divisible by 2 and 5 is 21.

The number of integers in the set divisible by 2 and 7 is 15.

The number of integers in the set divisible by 3 and 5 is 14.

The number of integers in the set divisible by 3 and 7 is 10.

The number of integers in the set divisible by 5 and 7 is 6.

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Thus, the probability of getting at least 5 questions correct by guessing randomly on a 20-question multiple-choice test with 4 possible answers for each question is approximately 0.074 or 7.4%.

To calculate the probability of getting at least 5 questions correct, we need to use the binomial distribution formula. This formula calculates the probability of getting a specific number of successes in a fixed number of trials, given a specific probability of success.

The formula for the probability of getting at least 5 successes in 20 trials with a probability of success of 1/4 is:

P(X ≥ 5) = 1 - P(X < 5)

where X is the number of correct answers.

Using the binomial distribution formula, we can calculate the probability of getting less than 5 correct answers as:

P(X < 5) = ΣP(X = k) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (0.75)^20 + 20(0.25)(0.75)^19 + (20*19/2)(0.25)^2(0.75)^18 + (20*19*18/6)(0.25)^3(0.75)^17 + (20*19*18*17/24)(0.25)^4(0.75)^16

= 0.926

Therefore, the probability of getting at least 5 questions correct is:

P(X ≥ 5) = 1 - P(X < 5)

= 1 - 0.926

= 0.074

So the probability of getting at least 5 questions correct by guessing randomly on a 20-question multiple-choice test with 4 possible answers for each question is approximately 0.074 or 7.4%.

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Answer:

ur missing a x in the equation

Answer:

x = 8

y = -8

Step-by-step explanation:

1. у = - 2х +8

2. - 7x - бу = - 8

Substitute y in equation 2 using equation 1

-7x - 6(-2x+8) = -8

-7x -(-12x) - 48 = - 8

Two negatives = positive

-7x + 12x - 48 = -8

5x - 48 = - 8

Plus 48 on both sides

5x = 40

Isolate x by dividing both sides by 5

x = 8

Using the value of x, find what y is.

y = -2(8) + 8

y = -16 + 8

y = -8

Hope this helps :)

Have an awesome day!

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The selling price for the given cost price and profit percentage is ₹420.5.

The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.

Given that, the cost price of a bag of almonds is ₹290 and it is sold with a profit of 45%.

We know that, Selling price = (100+Profit%)/100 ×CP

Here, Selling price = (100+45)/100 ×290

= 145/100 ×290

= 1.45×290

= 420.5

Therefore, the selling price is ₹420.5.

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The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.

What is circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

in a circle of radius 3.4 cm

central angle that measures 46 degrees

length of arc = (46/360) * 2π*3.4

=2.72cm

Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm

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Answer:

it's your answer

Step-by-step explanation:

plz make me barinly least

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.

So we can solve this in one single step, I'll start off with solving it.

So first we know that \(AB=DF\) and of which \(DF\) is the Hypotenuse of triangle \(DE F\).

Since the hypotenuse is equal to one of the legs of the 2nd triangle, we cannot use any rule that has Side in it as they are both not really getting us anywhere.

We do know that \(<ABC=<DE F\) as they are both 90 degrees.

As we don't have enough proof, these triangles are not congruent as we would need to do/prove rule RHS.

Cheers!

The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:

First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.

Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.

Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.

Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:

(4/6) * (4/6) = 16/36

To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):

16/36 = 4/9

So, the probability of drawing 2 green balls simultaneously is 4/9.

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Answer:

7x+2y=18

The first one

Step-by-step explanation:

The equation to be perpendicular switches they numbers before the x and y. Also plugging into a graphing calculator like desmos will show you
that

The probability that exactly 6 patients is 2.0669, and the probability that at least 2 patients is 0.0017.

In large restaurants, an average of 3 out of every 5 customers ask for water with their meal. A random sample of 10 customers was selected. We need to estimate the probability that exactly 6 patients and at least 2 patients. The given situation is a binomial distribution since the experiment has only two outcomes, success or failure.

Here, Success is defined as requesting water with a meal, and failure as not requesting water with a meal. The probability of success is p = 3/5 = 0.6 and the probability of failure is q = 1 - p = 1 - 0.6 = 0.4. Let X be the number of patients requesting water with a meal out of 10 patients selected.

P(X = 6) = 10C6 (0.6) (0.4)⁴

= 210 × 0.31104 × 0.0256

= 2.0669P(X ≥ 2)

= P(X = 2) + P(X = 3) + .... + P(X = 10)P(X ≥ 2)

= 10C2 (0.6)² (0.4)⁸ + 10C3 (0.6)³ (0.4)⁷ + ..... + 10C10 (0.6)¹⁰ (0.4)⁰ P(X ≥ 2)

= 0.0022 + 0.0185 + 0.0881 + 0.2353 + 0.3454 + 0.2508 + 0.0986 + 0.0180 + 0.0016P(X ≥ 2)

= 1 - P(X < 2)P(X < 2) = P(X = 0) + P(X = 1)P(X < 2)

= 10C0 (0.6)⁰ (0.4)¹⁰ + 10C1 (0.6)¹ (0.4)⁹ P(X < 2)

= 0.0001 + 0.0016P(X < 2)

= 0.0017

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Answer:

x = 18\(\sqrt{2}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 27²

x² + 81 = 729 ( subtract 81 from both sides )

x² = 648 ( take the square root of both sides )

x = \(\sqrt{648}\) = 18\(\sqrt{2}\) ← exact value

x ≈ 25.5 ( to 1 dec. place )

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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Answer:

E. 2,850 ft²

Step-by-step explanation:

Answer:

OptionE)

Step-by-step explanation:

Area of a circle = \(\pi r^{2}\)

\(3.14X30X30\)

= \(2826\)

Hence the closest is 2,850

a. Null hypothesis: H₀: µ ≤ 74

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30.

c. The value of Test statistic is -6.325

d. At a 0.05 significance level, the critical value for a right-tailed test is  -1.664.

e. The test statistic (-4.38) is less than the critical value (1.645). Hence we can reject the null hypothesis.

a. Null hypothesis, H0: µ = 74, alternative hypothesis, H1: µ > 74  (there is no significant difference in the mean job satisfaction scores of employees after the telecommuting policy is adopted).

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30. This is a one-tailed test because the alternative hypothesis is directional (i.e., it states that the mean level of satisfaction will increase with telecommuting).

c. The test statistic is calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size.  Substituting the values given in the question: t = (56 - 74) / (8 / √80) = -6.325

d. The critical value for a one-tailed t-test with 79 degrees of freedom at the 0.05 level of significance is -1.664. Since the calculated t-value of -6.325 is less than the critical value of -1.664, we reject the null hypothesis.

e. Based on the calculated t-value and critical value, we reject the null hypothesis that the mean level of satisfaction is the same before and after telecommuting and accept the alternative hypothesis that telecommuting increases the mean level of satisfaction among employees.

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