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The experimental probability of an event is the ratio of the number of successful outcomes to the number of trials performed. In this case, the experimental probability of the spinner landing on red is given as 1/8, which means that for every 8 spins, it should land on red 1 time.

Option D : The experimental probability of the spinner landing on red is given as 1/8. If it landed on red 6 times, then the number of trials is

8 * 6 = 48.

The experimental probability of an event is the ratio of the number of successful outcomes to the number of trials performed. In this case, the experimental probability of the spinner landing on red is given as 1/8, which means that for every 8 spins, it should land on red 1 time.

To determine the number of trials that were performed, we need to know how many times the spinner landed on red. In this case, it landed on red 6 times.

Using the experimental probability,

Trials = Red spins * (1 / Experimental probability)

= 6 * (1 / 1/8)

= 6 * 8

= 48

Therefore, the number of trials performed is 48.

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The volume of the solid of revolution is -6π or we can write it as 6π with a negative sign indicating that the solid is inverted or turned inside out.

we need to use the formula:

where a and b are the limits of integration and f(x) is the function being revolved around the axis.

In this case, the region bounded by f(x)=(4−x)^(-1/3) and the x-axis on the interval [0,4) is being revolved around the y-axis.

we have:

the volume of the solid of revolution is:

Simplifying the integral:

This integral can be evaluated using various integration techniques, such as substitution or integration by parts.

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Answer:

The price of the socks is dollar 8

Pls mark nrainliest

Answer:

$8

Step-by-step explanation:

Using the information we already know, we can form an equation:

Let x be the socks' original price.

\((24+x)\) × \(0.75=24\)

Divide both sides by 0.75

\(24+x=32\)

Subtract 24 from both sides

\(x=8\)

The socks' original price was $8.

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

Answer:

13

Step-by-step explanation:

1+1=2

1+2=3

2+3=5

3+5=8

8+blank=21

21-8=13

Answer:

13

1+1=2+3=5+8=13+21=...

Therefore, The grading function is not a one-to-one correspondence since two numerical ranges, [70, 73) and [67, 70), have the same grade assigned to them.

Explanation:
A one-to-one correspondence means that each input has a unique output and vice versa. In this case, the grading function assigns a grade to a numerical range.
To determine if it is a one-to-one correspondence, we need to check if any two numerical ranges have the same grade assigned to them.
Looking at the given ranges, we can see that there is an overlap between [70, 73) and [67, 70) since they share the grade. Therefore, this grading function is not a one-to-one correspondence.

Therefore, The grading function is not a one-to-one correspondence since two numerical ranges, [70, 73) and [67, 70), have the same grade assigned to them.

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The supply and demand equations for a product are q + 3p = 5 (supply) and 4q + 2p = -10 (demand).

The supply and demand equations describe the relationship between the quantity of a product (q) and its price (p). In the given supply equation, q + 3p = 5, the coefficient of p (3) indicates that for each unit increase in price, the supplier is willing to supply 3 fewer items.

The constant term (5) represents the minimum quantity the supplier is willing to produce. On the other hand, the demand equation, 4q + 2p = -10, shows that for each unit increase in price, the demand decreases by 2 items.

The constant term (-10) represents the maximum quantity the market is willing to purchase at a given price. These equations provide insights into the supply and demand dynamics of the product in question.

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Complete Question:

The supply and demand equations for a product are given below:

Supply: q + 3p = 5

Demand: 4q + 2p = -10

q is the number of items the supplier will produce if the price is p dollars and q is also the number of items the consumer will buy if the price is p dollars. Find the equilibrium values of q and p. Solve for p, and q.

p =

q =

The type of random variable in this scenario is a geometric random variable. Its parameter is the probability of failure for each integrated circuit being tested.

The type of random variable you're dealing with in this scenario, where you are testing integrated circuits in sequence until you find the first failure, is called a Geometric Random Variable. This type of random variable represents the number of trials needed for the first success (or failure, in this case) in a series of independent Bernoulli trials with the same probability of failure. The parameter for a Geometric Random Variable is the probability of failure, denoted as p. In summary, the type of random variable in this problem is a Geometric Random Variable, and its parameter is the probability of failure (p).

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Answer:

$4480

Step-by-step explanation:

64,000*.07= 4480

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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The parametric equation for the line segment from (−4, 14, 32) to (10, −9, 46), using the parameter t is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

The given points are (-4,14,32) and (10,-9,46).

To find the parametric equations for the line segment we need to follow the below steps.

Step 1: Calculate the direction vector of the line segment. We use the difference of the given points for this purpose.  Let d= direction vector = (10,-9,46)-(-4,14,32)  = (14,-23,14)

Step 2: Choose the initial point on the line segment. We can choose (-4,14,32).

Step 3:  Since there are infinite choices for parameter t, choose any parameter t. We choose t in the range 0<= t <=1, to get the parametric equation for the line segment.

Let the parametric equation for the line segment be r(t).

Then,  r(t) = (-4,14,32) + t(14,-23,14)    

= (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

Thus, the parametric equation for the line segment is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

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\(\\ \sf\longmapsto Area=\dfrac{1}{2}bh\)

\(\\ \sf\longmapsto Area=\dfrac{1}{2}(5)(17)\)

\(\\ \sf\longmapsto Area=\dfrac{85}{2}\)

\(\\ \sf\longmapsto Area=42.5yd^2\)

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \huge \boxed{\mathfrak{Explanation} \downarrow}\)

Now, let's find the area of the triangle given.

\( \large \sf \: \frac{1}{2} \times b \times h \\ \large \sf \: = \frac{1}{2} \times 17 \times 5 \\ \large \sf \: = \frac{1}{2} \times 85 \\ = \large \boxed{\bf \: 42.5 \: {yd}^{2} }\)

Answer:

36

Step-by-step explanation:

consider the multiples of each denominator

9 : 9, 18, 27, 36, 45, .....

12 : 12, 24, 36, 48, 60, ......

the lowest multiple gives the lowest common denominator , that is 36

The evaluation of the given iterated triple integral is (8/25) * [8√z\(^(5/2)\) - z\(^(5/2)\)].

To evaluate the given iterated triple integral ∫∫∫ x√(x)√(∫zdy)dzdydx, we can start by integrating the innermost integral with respect to y.

∫zdy = zy

Next, we substitute the limits of integration for y, which are y = 0 to y = x.

∫zdy = ∫(zy)dy = 1/2z(x\(^2\) - 0^2) = 1/2zx\(^2\)

Now, we have the expression x√(x)√(∫zdy) = x√(x)√(1/2zx\(^2\)) = x^(3/2)√(1/2z).

Moving to the second integral, we integrate the expression x√(x)√(1/2z) with respect to z.

∫x\(^(3/2)\)√(1/2z)dz

To simplify this integral, we can take out the constants outside the integral:

(1/2)∫x\(^(3/2)\)√(1/z)dz

Now, we can integrate √(1/z) with respect to z:

(1/2)∫x\(^(3/2)\) * 2√z dz = ∫x^(3/2)√z dz = (2/5)x\(^(3/2)\)z\(^(5/2)\)

Finally, we integrate the expression (2/5)x\(^(3/2)\)z with \(^(5/2)\)respect to x over the given limits x = 1 to x = 10.

∫10∫1 (2/5)x\(^(3/2)\)z dx\(^(5/2)\)

Substituting the limits and integrating:

(2/5)∫10∫1 x\(^(3/2)\)z\(^(5/2)\) dx = (2/5) * [(2/5)x\(^(5/2)\)z\(^(5/2)\)] evaluated from x = 1 to x = 10

= (2/5) * [(2/5)(10)\(^(5/2)\))z - (2/5\(^(5/2)\))(1)\(^(5/2)\)z]\(^(5/2)\)

= (2/5) * [(2/5)(100√z - 2/5\(^(5/2)\))z]\(^(5/2)\)

= (2/5) * [40√z\(^(5/2)\) - 2z\(^(5/2)\)]

= (8/25) * [8√z - z]\(^(5/2)\)

Therefore, the evaluation of the given iterated triple integral ∫∫∫ x√(x)√(∫zdy)dzdydx is (8/25) * [8√z\(^(5/2)\) - z].\(^(5/2)\)

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The number of possible selections is 13,800.

A permutation is the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination is the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

\(C_{n,r} = \frac{n!}{(n-r)! r !}\)   ,  \(P_{n,r} = \frac{n!}{(n - r) !}\)

where,

n is the number of choices available,

and r is the choices to be made.

According to the question,

The number of possibilities in which the students can be selected and the awards can be given is,

\(= \frac{25!}{(25 - 3) !}\)

\(= \frac{25 !}{22 !}\)  

= \(\frac{25 * 24 * 23 * 22 !}{22!}\) = 1380

Hence, there are 13,800 possible selections.

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The required number can be expressed as a scientific notation is 1.69 × \(10^7\).

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.

We have,

16900000

To convert it into scientific notation,Divide and multiply by \(10^7\);

So,Number will be

\(1.69\) × \(10^7\)

Thus, required number in scientific notation 1.69 × \(10^7\).

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Answer:

The answer is B

Step-by-step explanation:

Step-by-step explanation:

volume = length ×width ×height

volume = (8/3) inches × (1/2) Inches × (5/6) inches

volume =(8/6) cubic inches ×(1/2) inches

volume = 4/3 cubic inches

Answer:

10/9 in³

Step-by-step explanation:

2 2/3 = (2 X 3 + 2) / 3 = 8/3.

Volume of prism = area of cross-section X length

= (8/3) X (1/2) X (5/6)

= (8 X 1 X 5)/ (3 X 2 X 6)

= 40/36

= 10/9 in³

Answer:

ubub

Step-by-step explanation:

Answer:

The inverse is f^-1 (x) = 6.6x + 4

Factored is 0.15 (x - 4)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

P(t1 < t-1 < t²) is the probability that t1 is less than t raised to the power of -1, which is less than t squared.

To calculate the probability P(t1 < t-1 < t²), you need to determine the range of values for t that satisfy this inequality. Start by isolating t:

1. t1 < t-1 → t1 + 1 < t (by adding 1 to both sides)
2. t-1 < t² → 1/t < t (by rewriting t-1 as 1/t)

Now, find the range of t values that satisfy both inequalities. Graph these inequalities on a number line, and identify the intersection of the two ranges. The probability P(t1 < t-1 < t²) will be the proportion of this intersection relative to the total possible range of values for t.

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Answer:

To find the minimum number of lawns Jacob will need to mow, we can set up the following inequality:

12x + 150 >= 380

To solve this inequality, we need to get x by itself on one side of the inequality. We can do this by subtracting 150 from both sides of the inequality:

12x >= 230

Then, we can divide both sides of the inequality by 12 to get the value of x:

x >= 19.17

Since x represents the number of lawns Jacob needs to mow, it must be an integer. Therefore, the minimum number of lawns Jacob will need to mow is 20.

This means that Jacob needs to mow at least 20 lawns in order to earn enough money to buy the electronic tablet. If he mows more than 20 lawns, he will have more than enough money to buy the tablet.

Answer:

One ticket is $153

Step-by-step explanation:

x = The price of a ticket

855=5x+18(5)

855=5x+90

765=5x

153=x

Answer:

x = $159

Step-by-step explanation:

5 tickets are bought, the price of them is unknown?

1 ticket per $18 travel insurance

5 tickets = 18 × 5

insurance per 5 tickets = $90

the equation:

let X represent the number of tickets.

5x + 90 = 885. the total cost of insurance and tickets = 885

we solve the equation.

5x=885 - 90

5x= 795. divide by 5 into both sides.

x= $159. which is the price of one ticket.

The probability to select $5 bill when the first selected bill is $10 is given by 1/2.

Probability is the possibility to occur of an event.

In mathematical terms, probability can be defined as,

\(\text{Probability}=\frac{\text{The number of favorable case}}{\text{The total number of case}}\)

Given that, the number of total $5 bills = 3

the number of $10 bills = 4

Total number = 3+4 = 7

If the first drawn bill is $10, then the number of $10 bills = 4-1 = 3

Total number of bills =7-1 = 6

So the probability to select $5 bill when the first selected bill is $10 = 3/6 = 1/2

Hence, the probability to select $5 bill when the first selected bill is $10 is given by 1/2.

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Answer:

\(M=(\frac{3}2},\frac{9}{2})\)

Step-by-step explanation:

The midpoint is given by the formula:

\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

So we have the two endpoints A(3,7) and B(0,2).

Let's let (3,7) be x₁ and y₁ and let's let (0,2) be x₂ and y₂.

Therefore, our midpoint is:

\(M=(\frac{3+0}{2},\frac{7+2}{2})\)

Add:

\(M=(\frac{3}2},\frac{9}{2})\)

Or:

\(M=(1.5,4.5)\)

And we're done!

Hope this helps!

Answer: (1.5,4.5)

Step-by-step explanation:

For midpoint i have a little cheer to remember the steps it goes," Midpoint, midpoint, what do you do? add them together and divide by two.

so using this problem as an example you would add the y coordinates and the x coordinates and get (3,9) then you divide X and Y by two.

So 3 divided by 2 is 1.5 so that is the X coordinate for the midpoint

and 9 divided by 2 is 4.5 so that is your Y coordinate for the midpoint.

Put it together and your answer is (3.5,4.5)

Solution

To solve this problem, we only need to equate and solve for H