7 points!!!!
a bag holds 4 red, 5 yellow, and 3 purple marbles. what is the probability of choosing a purple marble.

A: 1/6
B: 6/18
C: 3/20
D: 1/19

Answer:

(a)=1/4,(b)=1/512

Step-by-step explanation:

(a) The two dice each have four possible outcomes, and the total number of possible outcomes when the two dice are thrown is 4 x 4 = 16. To determine the most likely total score, we need to find the sum that has the highest probability of occurring.

To do this, we can create a table that shows all the possible outcomes and their corresponding probabilities:

Dice 1 Dice 2 Total Probability

1 1 2 1/16

1 2 3 1/8

1 3 4 1/16

1 4 5 1/8

2 1 3 1/8

2 2 4 1/16

2 3 5 1/8

2 4 6 1/16

3 1 4 1/16

3 2 5 1/8

3 3 6 1/16

3 4 7 1/8

4 1 5 1/8

4 2 6 1/16

4 3 7 1/8

4 4 8 1/16

From the table, we can see that the most likely total score is 5, which occurs with a probability of 1/8 + 1/8 = 1/4.

(b) The probability of obtaining a specific score on three successive throws is the product of the probabilities of obtaining that score on each throw, assuming that the dice are fair and independent. The most likely total score is 5, so we will calculate the probability of obtaining a total score of 5 on each throw and then multiply the probabilities together.

The probability of obtaining a total score of 5 on one throw is 1/8, as we can see from the table above. Therefore, the probability of obtaining a total score of 5 on three successive throws is (1/8) x (1/8) x (1/8) = 1/512.

The probability of landing on purple is equal to the probability of landing on yellow. Therefore, option D is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, a spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.

Here,

Probability of landing on orange is 1/8

Probability of landing on purple is 2/8 =1/4

Probability of landing on yellow is 2/8 =1/4

Probability of landing on blue is 3/8

Therefore, option D is the correct answer.

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In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

its b

Step-by-step explanation:

Just plain math. I was on this question

The angle pairs by parallel lines cut by a transversal are corresponding angles, interior/exterior angles etc.

Many angle pairs are created when a transversal crosses a pair of parallel lines. They consist of the following:

Corresponding angles: The positions on either side of the transversal and on the opposing sides of the parallel lines are referred to as corresponding angles. If the parallel lines are sliced by the transversal, then the corresponding angles are congruent and have the same measure.

Interior angles: These are a pair of angles that are inside parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, alternate inner angles are equivalent.

External angles: These are a pair of angles that are outside the parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, then alternate exterior angles are congruent.

Vertical angles: These are opposite-to-each pairs of angles created by the junction of two lines. By definition, these are the angles that are congruent, which means having the same measure.

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Answer:

0.015625

Step-by-step explanation:

Answer:

Step-by-step explanation:

boody boody

Answer:

c-c+a+|a|

5-5+4+|4|

8

Step-by-step explanation:

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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Answer:

1. the square root of 89 or 9.4

2. the square root of 197 or 14.0

Step-by-step explanation:

My math is terrible but I think u should eliminate and substitute.

I think the answer is:2x-4y=13

START BY USING BODMAS

y=-(10)+6x-3y=-4x-3

{3+10=13}

{3y+y=4y}

{6x-4x=2x}

4y=+2x-13

=2x-4y=13

I'M NOT SURE OF THE ANSWER THOUGH

The answer is a and hi momo

Answer:

17

Step-by-step explanation:

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Answer:

the value of this increase in percentage indices is 27.77%

Step-by-step explanation:

The computation of the  value of this increase in percentage indices is shown below:

Given that

The population has increase from 82,350 to 105,200

So, the increase in percentage would be

= (105,200 - 82,350) ÷ (82,350)

= 22,850 ÷ 82,350

= 27.77%

Hence, the value of this increase in percentage indices is 27.77%

The curve y = 1/x^2 has three points of inflection, and they all lie on a straight line. The points of inflection occur at x = -1, x = 0, and x = 1.

To find the points of inflection, we need to determine where the concavity of the curve changes. We start by finding the second derivative of y with respect to x. Taking the derivative of y = 1/x^2 twice, we get y'' = 2/x^4.

Next, we set y'' = 0 and solve for x to find the potential points of inflection. Setting 2/x^4 = 0, we see that x cannot be equal to zero. However, when x = -1 and x = 1, the second derivative is undefined. Thus, we have potential points of inflection at x = -1, x = 0, and x = 1.

To confirm if these are indeed points of inflection, we examine the behavior of the curve on both sides of these x-values. Substituting values slightly smaller and larger than -1, 0, and 1 into the original equation, we observe that the concavity changes at these points. Hence, all three points of inflection lie on a straight line.

In conclusion, the curve y = 1/x^2 has three points of inflection at x = -1, x = 0, and x = 1, and these points form a straight line.

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The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.

This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.

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Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

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Must assume positive values

f is above this line outside [a, b]

So,  f(x)f′′(x)<0 cannot hold for all x.

Given,

In the question:

Let f be a twice-differentiable function on R such that f′′ is continuous. Prove that f(x)f′′(x)<0 cannot hold for all x.

Now, According to the question:

Assume that :

f"(0) > 0

Then, f(0) < 0 and as neither factor can change sign.

f"(x) > 0 > f(x) for all x ∈ R and f is strictly convex.

Pick a < b with f(a) ≠ f(b).

Then the line through (a f(b)) and (b f(b)) intersect the x - axis.

By convexity, f is above this line outside [a, b],

Hence, Must assume positive values

f is above this line outside [a, b],

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The probability that it will require between 13.7 and 17.3 minutes to perform the task is (6.5 / 7.5) - (2.9 / 7.5).

To find the probability that it will require between 13.7 and 17.3 minutes to perform the task, we can use the formula for calculating the probability of a range within a uniform distribution.
First, we need to find the total range of completion times, which is 18.3 - 10.8 = 7.5 minutes.
Next, we calculate the probability of the task taking less than 13.7 minutes by finding the difference between 13.7 and 10.8, which is 2.9 minutes.

Then, we divide this by the total range, 7.5 minutes.
So, the probability of the task taking less than 13.7 minutes is 2.9 / 7.5.
Similarly, we calculate the probability of the task taking less than 17.3 minutes by finding the difference between 17.3 and 10.8, which is 6.5 minutes.

Then, we divide this by the total range, 7.5 minutes.
So, the probability of the task taking less than 17.3 minutes is 6.5 / 7.5.
Finally, to find the probability of the task taking between 13.7 and 17.3 minutes, we subtract the probability of the task taking less than 13.7 minutes from the probability of the task taking less than 17.3 minutes.
Therefore, the probability that it will require between 13.7 and 17.3 minutes to perform the task is (6.5 / 7.5) - (2.9 / 7.5).

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Answer:

9.25

Step-by-step explanation:

numbeer line is split into 4 things so 1/4 those things is 0.25

its .25 since its the first quarter

its adding 0.25 each dash so the next dash up would be 0.5 etc.

Answer:

61 mph

Step-by-step explanation:

He drove 732 miles in 12 hours. How many miles would he drive if it was 1 hour? (per hour) If we subtract 732 by 12, the answer would be miles per hour. 732/12=61 Therefor, his speed is 61 miles per hour.

Answer:

3r^2t^3

Step-by-step explanation:

The given expression is a quadratic expression in terms of x, which can be factored to solve for the value of x. The value of x is either -2/5 or -4, depending on the context of the problem.

To factor the expression, we can look for two factors of 14 that add up to the coefficient of the middle term, which is 7x in this case. The factors are 2 and 7. So, we can split the middle term into two terms with coefficients 2x and 5x, as follows:

5\(x^2\) + 2x + 5x - 8 = 0

Now we can factor the expression by grouping the first two terms and the last two terms:

(\(5x^2\) + 2x) + (5x - 8) = 0

x(5x + 2) + (5x - 8) = 0

(5x + 2)(x + 4) = 0

Finally, we set each factor equal to zero and solve for x:

5x + 2 = 0 or x + 4 = 0

5x = -2 or x = -4

Therefore, the value of x is either -2/5 or -4, depending on the context of the problem.

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Complete Question:

Find the value of x, if \(5x^2+7x-8=14\).

Step-by-step explanation:

I guess "logg" is a typo.

otherwise we would have 2 variables in one equation (log to the base of g of x), for which there would be infinitely many solutions.

so, I assume it is actually

log(x) = -2

that is short for

log10(x) = -2

even though many programming libraries on computers actually mean ln(x) when providing the function log(x).

so, log(x) means actually log10(x) is my second assumption.

and then

log10(x) = -2

gets solved by putting everything to the power of the logarithm base :

x = 10^-2 = 1/10² = 1/100 = 0.01

if another base has to be used, then 10 has to be replaced by that other base. the principle always stays the same.

Answer:

x = - 3, y = - 1

Step-by-step explanation:

y = 7x + 20 -----> equation 1

4x - y = - 11

4x - ( 7x + 20 ) = - 11

4x - 7x - 20 = - 11

- 3x = - 11 + 20

- 3x = 9

x = 9 / - 3

x = - 3

Substitute x = - 3 in equation 1,

y = 7 ( - 3 ) + 20

  = - 21 + 20

y = - 1

Hence,

x = - 3

y = - 1

Answer:

Explanation:

y = 7x + 20 __ equation 1

4x - y = -11

y = 11 + 4x __ equation 2

using substitution method,

11 + 4x = 7x + 20

4x - 7x = 20 - 11

-3x = 9

x = -3

Find y,

y = 7x + 20

y = 7(-3) + 20

y = -1

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

The slope is 0.5

Step-by-step explanation:

FIrst you do y2-y1/x2-x1

That makes it 6-3/2-(-4)

Simplified it's 6-3/2+4

6-3=3 and 2+4=6

So  you get 3/6=0.5

SOLUTION

Draw the diagram

a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Hence

SInce AC=30, Then

Thus, from the median properties of a triangle, AB = 15