A student selects three marbles of different color-One is red, the second blue and the third is green. He picks the marbles one at a time without replacement. What is the probability he selects a blue. followed by a red, and then green?

Answer:

4

Step-by-step explanation:

Answer:

20x+10=y

Step-by-step explanation:

Translate this to english

Por favor ayúdame, no puedo tener constante y> -2x + 1

y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro

Answer:

Ans: 9/28

Step-by-step explanation:

-1/4 ÷ (-7/9)

= -1/4 × 9/-7

= 9/28

\(- \frac { 1 } { 4 } \div ( - \frac { 7 } { 9 } )\)

\(-\frac{1}{4}\left(-\frac{9}{7}\right) \)

\(\frac{-\left(-9\right)}{4\times 7} \)

\( \frac{9}{28}\approx 0.321 \)

______

RainbowSalt2222 ☔

Answer:

i think its very interesting and pretty cool,  because there is so much to learn  and so much to explore

i wouldn't like the fact that you have to study so much though

Step-by-step explanation:

The null hypothesis that the observed frequencies fit the expected frequencies at a significance level of 0.01 or lower, but we may have weak evidence against the null hypothesis at higher significance levels.

The given information corresponds to a chi-square goodness-of-fit test with k=5 categories, and sample sizes n1=n2=n3=n4=n5=4. The test statistic is given as f=5.38.

To determine the p-value, we need to compare the test statistic to the chi-square distribution with k-1 degrees of freedom (df). In this case, df = 5-1 = 4. Using a chi-square distribution table or calculator, we find that the area to the right of f=5.38 is between 0.100 and 0.050. Therefore, the p-value lies between 0.050 and 0.100. Interpreting the result, we can conclude that there is not enough evidence to reject the null hypothesis at a significance level of 0.01 or lower. However, at a significance level of 0.05, the evidence is somewhat weak, suggesting that the distribution may not fit the expected proportions. At a significance level of 0.10, the evidence is even weaker. Therefore, based on the given information, we cannot reject the null hypothesis that the observed frequencies fit the expected frequencies at a significance level of 0.01 or lower, but we may have weak evidence against the null hypothesis at higher significance levels.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

None of them are correct maybe?

Step-by-step explanation:

Because the length of bd is 56 and AE is would be bigger but it is not double the size of it so it would be none of these are correct.

A proportional relationship is given by the expression:

y=kx, where k is the constant of variation

Then, in this case, isolating the variable y

y=-8/4x

y=-2x

The constant of variation would be k=-2

Answer:

(-8,6)

Step-by-step explanation:

SOOO the x coordinate would be the average  of the two coordinates or (-6-10)/2 or -16/2 or -8.

the same for the y

(4+8)/2 = 6

so the midpoint is (-8,6)

15 plus 4 times 2Step-by-step explanation:

38

Answer:

2.5 hrs

Step-by-step explanation:

4x2.5=10

2x2.5=5

10+5=15

:)

Answer:

a.

b/\110©. p

________d q/\

c

Answer: Perimeter: 110 ft

Area: 390 ft

Step-by-step explanation:

P=Perimeter. A=Area

P=25+20+30+7+(30-20)+(25-7)

P=25+20+30+7+10+18

P=25+50+17+18

P=75+35

P=110 ft

A=(30*7)+((25-7)*(30-20))

A=210+(18*10)

A=210+180

A=390 ft

To calculate the total number of samples in the sample space when randomly sampling 3 objects in order from among 42 objects, we need to consider the concept of permutations.

A permutation is an arrangement of objects in a specific order. In this case, we are interested in the number of permutations when selecting 3 objects from a pool of 42 objects.

The formula to calculate permutations is given by nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects being selected.

In our case, n = 42 (total objects) and r = 3 (objects being selected). Therefore, the total number of samples in the sample space can be calculated as 42P3.

By substituting the values into the formula, we have 42P3 = 42! / (42 - 3)!

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Answer:

A

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

We can identify the figure formed by 2 radii, (6x - 3), and (3x + 18) as a kite because it is a quadrilateral symmetric around a center line.

The radii sides are congruent, and therefore, the other two sides must be congruent as well. So, we can solve for x by equation (6x - 3) and (3x + 18).

\(6x - 3= 3x + 18\)

↓ subtracting 3x from both sides

\(3x - 3= 18\)

↓ adding 3 to both sides

\(3x = 18 + 3\)

\(3x = 21\)

↓ dividing both sides by 3

\(\boxed{x = 7}\)

Answer:

A,B,D

Step-by-step explanation:

(A) is correct because 5*900+15*300>4000

(B) is correct because 15*900+5*300>4000

(D) is correct because C+P must be less than or equal to 25

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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Answer:

if you wanted to know how long it would take for it to all be depleted it would be. 16 times noah can go on public transportation

Step-by-step explanation:

The cumulative distribution function (CDF) is a important statistical tool used to describe the distribution of a random variable. It gives the probability that the value of a random variable is less than or equal to a certain value. In this explanation, we'll look at what the cumulative distribution function is, how it's defined and how it's used.

A cumulative distribution function is a function that describes the distribution of a random variable. For any given real number x, the cumulative distribution function F(x) gives the probability that the value of the random variable X is less than or equal to x. In other words, F(x) represents the cumulative probability up to x.

Formally, the cumulative distribution function is defined as follows:

F(x) = P(X <= x)

where P(X <= x) represents the probability that the value of X is less than or equal to x.

CDFs are always non-decreasing functions, meaning that as x increases, so does the value of F(x). In addition, CDFs always have a range of [0, 1], with F(x) equal to 0 for all values less than the minimum value of X, and equal to 1 for all values greater than the maximum value of X.

The CDF is a useful tool for understanding the distribution of a random variable, and is often used in hypothesis testing, confidence intervals, and to make predictions about future values of a random variable. It can be used to describe the distribution of continuous and discrete random variables, and can be graphed as a step function or as a smooth curve.

In conclusion, the cumulative distribution function is a useful tool for understanding and describing the distribution of a random variable, and is used in a variety of applications in statistics and probability.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The answer is :

The volume of the replacement cone holds 4·π cubic inches more than the volume of the original cone.

The given measurements of the cones are;

The volume of cone, V = (\(\frac{1}{3}\))·π·r²·h

The volume of an original cone, V₁ = (\(\frac{1}{3}\))·π·r₁²·h₁

∴ V₁ = (\(\frac{1}{3}\)) × π × (3)² × 4 ≈ 37.7 in.³

The replacement cone's volume is, V₂ = (\(\frac{1}{3}\))·π·r₂²·h₂

∴ V₂ = (\(\frac{1}{3}\)) × π × (4)² × 3  ≈ 50.27 in.³

The volume ratio of the cone  = V₁/V₂

∴ Volume ratio = (\(\frac{1}{3}\)) × π × (3)² × 4 in. /((\(\frac{1}{3}\)) × π × (4 )² × 3) = 3/4

The difference in volume of two cone, ΔV = V₂ - V₁ = (\(\frac{1}{3}\)) × π × ((4)² × 3- (3 )² × 4  = 4·π in.³

Therefore, the volume of the replacement cone is 4·π cubic inches more than the volume of the original cone.

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Answer:

\( \boxed{b\degree = 36\degree} \)

Step-by-step explanation:

Property used: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

\( = > 81 \degree + b \degree = 117 \degree \\ \\ = > b \degree = 117 \degree - 81 \degree \\ \\ = > b \degree = 36 \degree \)

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

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Probability = required outcome / all possible outcome

Total number of balls = 5+ 3+4 = 12

a) number of red ball = 4

p( red gum ball) = 4/12 = 1/3

b)

number of green ball = 5

p(green ball) = 5/12

p(not green ball) = 1- 5/12

=12-5 /12

=7/12

The expression "10x^3 - 6x^2 - 9x + 12" represents a cubic expression since it has a term with a variable raised to the power of 3 (x^3) and the highest power of the variable is 3.

A cubic expression is one that has a highest exponent of 3 on its variable. Out of the given expressions, the one that represents a cubic expression is 10x³ − 6x² − 9x + 12.

What is an expression? An expression is a combination of letters, digits, and symbols that represent a number or a quantity.

Expressions can be used to represent mathematical relationships between numbers, as well as the relationships between variables.

Cubic expressions A cubic expression is one that contains a single variable that has an exponent of 3.

The highest exponent of the variable is 3, and the expression will be in the form of ax³ + bx² + cx + d, where a, b, c, and d are constants.

For instance, 3x³ - 5x² + 2x + 1 is a cubic expression because the highest exponent of the variable x is 3.

This implies that the expression has a degree of 3.Choose the expression that represents a cubic expression Out of the given expressions, the one that represents a cubic expression is 10x³ − 6x² − 9x + 12.

This is because the highest exponent of the variable x is 3, which is the criteria for cubic expressions.

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Okay, according with the identities of parallelograms we have: AE=CE and BE=DE.

Replacing we obtain:

AE=CE

2x=x+2

2x-x=2

x=2

BE=DE

y+10=4y−8

10+8=4y-y

18=3y

y=18/3

y=6

And considering that BD=BE+DE, we got:

BD=(y+10)+(4y-8)=(6+10)+(4*6-8)=(16)+(24-8)=16+16=32

So, finally we obtain that the length of BD is 32 units.