In a large city’s recent mayoral election, 131,506 out of 309,153 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that 7 of them voted in the mayoral election. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answer:

A: Table W.

Step-by-step explanation:

A function for tables are where the X-input NEVER repeat.

Graph W. Doesn't have any repeating inputs on the x side

Y can repeat as much as the problem make wants but the x CAN NOT.

Answer:

make 1/4 2/8... Then Add, 3/8+2/8= 5/8.

Answer:

the correct answer is 5/8

the explanation is in the picture.

I hope it helps.

Answer:

12

Step-by-step explanation:

30 divided by 5 then you have six so everyone 1/5 is 6 and 2/5 is wearing red so then 2/5 is 12

Answer:

12 students are wearing red t-shirts.

Step-by-step explanation:

The probability that a randomly inspected tire is within the recommended range is 1 or 100%. This means that every tire in the car should be within the recommended range, assuming the average psi is on target.

The manufacturer's recommended correct inflation range for the tire is between 30 psi and 34 psi. If we assume that the average psi of the tires is on target, we can calculate the probability that a randomly inspected tire is within the recommended range.

To calculate this probability, we need to know the total range of psi values that a tire can have. Since the recommended range is from 30 psi to 34 psi, the total range would be 34 psi - 30 psi = 4 psi.

Now, we need to determine how many values within this total range are considered within the recommended range. In this case, any psi value between 30 psi and 34 psi (inclusive) is within the recommended range.

Therefore, the probability of a randomly inspected tire being within the recommended range can be calculated as follows:

Number of values within the recommended range / Total range of values Since there are 4 psi values within the recommended range and the total range is 4 psi, the probability would be:

4 psi / 4 psi = 1

So, the probability that a randomly inspected tire is within the recommended range is 1 or 100%.

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Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer: x= 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

23

Step-by-step explanation:

\(f(3) = {(3)}^{2} + 3(3) - 7 = 9 + 9 - 7 \\ = 18 - 7 = 11\)

\(g(3) = 5(3) - 3 = 15 - 3 = 12\)

\(f(3) + g(3) = 11 + 12 = 23\)

RATE BRAINLIEST

The net outward flux across the boundary of the tetrahedron is: 5, using the concept of gradient of function.

The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).

Given vector field:

F = ( -x, 3y, 2 z )

Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )

Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]

Δ . F = - 1 + 3 + 2

Δ . F = 4

According to divergence theorem;

Flux =  ∫∫∫ Δ . (F) dv

x+y+z = 1; so, 1st octant

∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx

= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) dy dx

= 5

Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: 5

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The measure of variability that is used when the statistic with the greatest stability is sought is the Standard Deviation.

The Standard Deviation takes into account the dispersion of data points from the mean and provides a measure of the average distance between each data point and the mean. It is widely used in statistical analysis and is considered a robust measure of variability, providing a more precise and stable measure compared to other measures such as Mean Deviation, Quartile Deviation, or Range.

The Standard Deviation is a statistical measure that quantifies the dispersion or variability of a dataset. It takes into account the differences between individual data points and the mean of the dataset. By calculating the average distance between each data point and the mean, it provides a measure of how spread out the data is.

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When the foundation of a 1-DOF (Degree of Freedom) mass-spring system with a natural frequency ωn causes displacement as a unit step function, the displacement response of the system can be obtained using the step response formula.

The displacement response of the system, denoted as y(t), can be expressed as:

y(t) = (1 - cos(ωn * t)) / ωn

where t represents time and ωn is the natural frequency of the system.

In this case, the unit step function causes an immediate change in the system's displacement. The displacement response gradually increases over time and approaches a steady-state value. The formula accounts for the dynamic behavior of the mass-spring system, taking into consideration the system's natural frequency.

By substituting the given natural frequency ωn into the step response formula, you can calculate the displacement response of the system at any given time t. This equation provides a mathematical representation of how the system responds to the unit step function applied to its foundation.

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The magnitude of vector A is 16.04 and the angle θ in degrees between the calculated vector-and the +x-axis is 53.4° measured counterclockwise from the +x-axis.

Components of vector A, Aₓ = -9.35 and A_y = -13.4

Now we need to find the magnitude of this vector A

To find the magnitude of this vector A, use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

The magnitude of vector A is, A = √(Aₓ² + A_y²)

By substituting the given values, we have

A = √((-9.35)² + (-13.4)²) = 16.04

Therefore, the magnitude of vector A is 16.04.

The next part of the question is to determine the angle θ in degrees between the calculated vector-and the +x-axis, measured counterclockwise from the +x-axis.The angle θ is given by, θ = tan⁻¹(A_y / Aₓ)

By substituting the given values, we have

θ = tan⁻¹((-13.4) / (-9.35)) = tan⁻¹(1.43) = 53.4°

Therefore, the angle θ in degrees between the calculated vector-and the +x-axis is 53.4° measured counterclockwise from the +x-axis.

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Answer:

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

AAS congruence theorem states that:

We can see two angles and the non-included side are marked as congruent:

Hence the triangles are congruent:

Therefore the correct choice is C.

To find the number that 495 is 55% of, we can use the percent proportion or percent equation.

Using the percent proportion:

Part/Whole = Percent/100

Let x be the whole (or total) number we are looking for. Then:

495/x = 55/100

We can cross-multiply to solve for x:

49500 = 55x

Dividing both sides by 55:

x = 900

Therefore, 495 is 55% of 900.

Using the percent equation:

Percent * Whole = Part

Let x be the whole (or total) number we are looking for. Then:

55% * x = 495

We can divide both sides by 0.55 to solve for x:

x = 495 / 0.55

Simplifying:

x = 900

Therefore, 495 is 55% of 900.

Answer: 55 %

Step-by-step explanation:

To find the number that $495 is 55% of, we can use the following proportion:

part/whole = percent/100

Let x be the number we are trying to find, then we can write:

495/x = 55/100

To solve for x, we can cross-multiply:

55x = 49500

Dividing both sides by 55, we get:

x = 900

Therefore, $495 is 55% of 900.

Answer:

A and C!

Step-by-step explanation:

a: for a just move all the terms not containing x to the right side of the equation!

c: divide each term by 4 and simplify!

-

hope this helped <3

Answer:

Step-by-step explanation:

Answer:

a = 16 π cm²      Exact answer

a = 50.24 cm²       Decimal approximation

Step-by-step explanation:

Radius of the circle

16/2 = 8

Area of the circle

a = πr²

a = π4²

a = 16 π cm²      Exact answer

a = 16 * 3.14

a = 50.24 cm²       Decimal approximation

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

The measure of the angles and arcs are OLN = 220 deg, OL = 110 degrees deg

From the question, we have the following parameters that can be used in our computation:

LMN = 110 degrees

This means that

LN = 110 degrees i.e. angle subtended by the arc equals angle at the center

This also means that

OLN = LMN + LMO

Where LMN = LMO

So, we have

OLN = 110 + 110

OLN = 220

Lastly, we have

OL = LMO

This gives

OL = 110 degrees

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Answer

OLN is 220 degrees and OL is 110 degrees :D please mark as brainliest bye have a great day

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

If the lines DE and BC were parallel then

Δ ADE and Δ ABC would be similar and the ratios of corresponding sides would be equal, that is

\(\frac{AD}{AB}\) = \(\frac{AE}{AC}\) , substituting values

\(\frac{4}{10}\) = \(\frac{6}{14}\)

but

\(\frac{4}{10}\) ≠ \(\frac{6}{14}\)

That is 4 : 10 ≠ 6 : 14 → a

Answer:

a. With replacement

1/2197

b. Without replacement

1/5,525

Step-by-step explanation:

Okay, here is a probability question.

The key to answering this question is by knowing the number of aces in a deck of cards.

There is 1 ace per suit, so there is a total of 4 aces per deck of cards.

So, mathematically the probability of picking an ace would be;

number of aces/ total number of cards = 4/52 = 1/13

a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.

So the probability of picking three aces with replacement would be;

1/13 * 1/13 * 1/13 = 1/2197

b. Without replacement

what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.

For the first card picked, we will be having a total of 4 aces and 52 total cards.

So the probability of picking an ace would be 4/52 = 1/13

For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards

So the probability will be 3/51 = 1/17

For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.

So the probability now becomes 2/50 = 1/25

Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;

1/13 * 1/17 * 1/25 = 1/5,525

Using the binomial and the hypergeometric distribution, it is found that the probabilities are:

a) 0.0005 = 0.05%.

b) 0.0002 = 0.02%.

Item a:

With replacement, hence the trials are independent, and the binomial distribution is used.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

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

The parameters are:

For this problem:

The probability is P(X = 3), then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.0769)^{3}.(0.9231)^{0} = 0.0005\)

0.0005 = 0.05% probability.

Item b:

Without replacement, hence the trials are not independent and the hypergeometric distribution is used.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

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

The parameters are:

In this problem:

The probability is also P(X = 3), hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 3) = h(3,52,3,4) = \frac{C_{4,3}C_{48,0}}{C_{52,3}} = 0.0002\)

0.0002 = 0.02% probability.

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56213 o 75082106

Step-by-step explanation:

espero te sirva

Not replacing the first marble makes the events dependent because the outcome of the first draw affects the probability of the second draw. After the first blue marble is drawn, there are only two blue marbles and four marbles in total remaining in the bag. Therefore, the probability of drawing a second blue marble is lower than the probability of drawing a blue marble on the first draw. The probability of drawing two blue marbles is calculated as the product of the probability of drawing a blue marble on the first draw and the probability of drawing another blue marble on the second draw, given that the first marble was not replaced.

Answer:182.5

Step-by-step explanation: 67.4 + 43 = 110.4

110.4 + 30 + 42.10

110.4 + 30 = 140.4

140.4 + 42.10

140.4 + 42.10 = 182.5

182.5

Round 182.5 → 182 (Decimals: 0)

Answer:

A. x<8

Step-by-step explanation:

17 < 9 + x

subtract 9 from both side

17-9 < 9-9 + x

8 < x

I hope it helps (✷‿✷)

Answer: 883 Million is greater

Step-by-step explanation:

883M is extremely bigger than 334K.

It is over 2K times bigger

i hope this helps

To prove that n^2 - 7n + 12 is nonnegative whenever n is an integer with n ≥ 3, we can start by factoring the expression:
n^2 - 7n + 12 = (n - 4)(n - 3) . Since n ≥ 3, both factors in the expression are positive. Therefore, the product of the two factors is also positive.
(n - 4)(n - 3) > 0

We can also use a number line to visualize the solution set for the inequality:
n < 3: (n - 4) < 0, (n - 3) < 0, so the product is positive
n = 3: (n - 4) < 0, (n - 3) = 0, so the product is 0
n > 3: (n - 4) > 0, (n - 3) > 0, so the product is positive
Therefore, n^2 - 7n + 12 is nonnegative whenever n is an integer with n ≥ 3.
Alternatively, we can complete the square to rewrite the expression in a different form:
n^2 - 7n + 12 = (n - 3.5)^2 - 0.25
Since the square of any real number is nonnegative, we have:
(n - 3.5)^2 ≥ 0
Therefore, adding a negative constant (-0.25) to a nonnegative expression ((n - 3.5)^2) still yields a nonnegative result. This confirms that n^2 - 7n + 12 is nonnegative whenever n is an integer with n ≥ 3.

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To find h(6), we have to evaluate the given function when x = 6.

The probability that a white ball was transferred from bag b into bag a given that a black ball was drawn from bag a is approximately 0.5760.

Let us denote the events as follows,

A represents the ball drawn from bag a is black

B represents the ball transferred from bag b to bag a is white

Probability of event B given that event A has occurred is P(B|A).

Using Bayes' theorem ,

P(B|A) = P(A|B) × P(B) / P(A)  __(1)

P(A|B) = Probability of drawing a black ball from bag a given that a white ball was transferred from bag b to bag a.

P(A|B)

= (3/5)× (5/9) + (4/9)× (4/9)

= 43/81

P(B) = Probability of transferring a white ball from bag b to bag a

       = 5/9

P(A) = Probability of drawing a black ball from bag a.

Using the law of total probability,

P(A) = P(A|B) ×P(B) + P(A|B') × P(B')

Here, B' represents the event that a black ball was transferred from bag b to bag a.

P(B') = 4/9

P(A|B')

= (3/5) × (4/9) + (2/5) × (5/9)

= 22/45

Now,

P(A)

= (43/81) ×(5/9) + (22/45)× (4/9)

= 0.512

Substitute all the values into Bayes' theorem,

P(B|A)

= (43/81) ×  (5/9) / (0.512)

≈ 0.5760

Therefore, the required probability of transferring a ball from one bag to another is approximately 0.5760.

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The above question is incomplete, the complete question is:

Bag a contains 2 white and 3 black balls. Bag b contains 5 white and 4 black balls. One ball is drawn at random from bag b and is placed unseen in bag a. If the ball drawn from bag a is black, find the probability that a white ball was transferred from bag b into bag a?

Answer:

Ana still needs to read 1/5 of th journal