The probability distribution of number of televisions per household in a small town X 0 1 2 3 P(x) 0.01 0.15 0.31 0.53 (a) Find the probability of randomly selecting a household that has one or two te

The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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The answer is A

AAAAAAAA

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

graph 19 because since it is that means also like the thingy equals that number si then like when the thing is at the highest point it cab maybe actually it will equal that number

To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

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Answer:

\({ \tt{ | |3x - 4| - 5 | > 1 }} \\ \\ { \tt{ |3x - 4| > 1 ±5}}\)

• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5

\({ \tt{ |3x - 4| > 6 \: \: or \: \: - 4}}\)

→ for |3x - 4| > 6:

\({ \tt{ |3x - 4| > 6}} \\ \\ { \tt{3x > 6±4}} \\ \\ { \boxed{ \tt{ \: x = \frac{10}{3} \: \: or \: \: \frac{2}{3} }}}\)

→ for |3x - 4| > -4:

\({ \tt{ |3x - 4| > - 4}} \\ \\ { \tt{3x > - 4±4}} \\ \\ { \boxed{ \tt{ \: x > 0 \: \: or \: \: - \frac{8}{3} }}}\)

Answer:

C.  - (\(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\))

Step-by-step explanation:

-3 ^-4 = -1/3 ^4

This equal - (\(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\) · \(\frac{1}{3}\))

Answer:

20/3

Step-by-step explanation:

(3/8)*(10/9)*16

This is 30/72 = 5/12

5/12*16=20/3

Minimax Regret Approach takes place when the decision chosen is the one corresponding to the minimum of the maximum regrets.

In the Minimax Regret Approach, decisions are evaluated based on their maximum possible regret. It aims to minimize the potential regret associated with a decision by selecting the option that corresponds to the minimum of the maximum regrets.

In decision-making scenarios, individuals often face uncertainty about the outcomes and have to choose from various alternatives. The Minimax Regret Approach provides a systematic method for evaluating these alternatives by considering the regrets associated with each decision.

To apply this approach, the decision-maker identifies the potential outcomes for each decision and determines the corresponding payoffs or losses. The regrets are then calculated by subtracting each payoff from the maximum payoff across all decisions for a particular outcome. The decision with the smallest maximum regret is chosen as it minimizes the potential loss or regret.

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Answer:

I can't really see because it's blurry but if you're solving for x then...

x=13

Step-by-step explanation:

77+90+x=180

167+x=180

-167 -167

x=13

Answer:

x = 13 The points you gave are enough.

Step-by-step explanation:

FGD and 77 are complementary    Added together they equal 90 degrees.

<FGD = 90 - 77

<FGD = 13

<FGD and x are vertically opposite angles.

Vertically opposite angles are equal.

x = 13

When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016, when  open ground in a year has mean 6 and standard deviation 2.4.

It imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.

Given,

Mean = 6

Standard deviation = 2.4

The value that has been reduced by the population mean and divided by the standard deviation is called the z-value.

z = x - mean/ standard deviation/√n

z = 5 - 6/2.4/√50

z = - 2.95

Using table A, calculate the corresponding probability;

= P(x <5)

= P( z < -2.95)

= 0.0016

The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016.

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Answer: 15 and 165

1. The sum of the angles here is 180 degrees and we have 2 values for both the angles, 2x-15 and 11x

2. We make an equation to find the value of x, 2x-15+11x=180

3. After solving we get 195=13x and when divided we get x=15

4. Plug 15 into both angle mesurements and we get <AOB is 15 and <BOC is 165

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

Step-by-step explanation:

\(244^{2}-156^{2}=(200+44)^{2}-(200-44)^{2}\)

\(=\left(200^{2}+2 \times 200 \times 44+44^{2}\right)-\left(200^{2}-2 \times 200 \times 44+44^{2}\right)\)

\(=200^{2}+2 \times 200 \times 44+44^{2}-200^{2}+2 \times 200 \times 44-44^{2}\)

\(=4 \times 200 \times 44\)

\(=35200\)

Answer:

244^2-156^2 hi this is in the form p^2-q^2=(p+q)(p-q) now, (244+156)(244-156) =(400)(88)=35,200answer.

To find the probability of getting 2 red marbles when two marbles are taken out of a bag with 5 blue and 4 red marbles, we need to apply the formula for independent events: P(A and B) = P(A) × P(B). The probability of getting 2 red marbles is 16/81.

Step-by-step explanation:

Let A be the event of drawing a red marble on the first draw and B be the event of drawing a red marble on the second draw. Since the draws are made with replacement, the probability of drawing a red marble on the first draw is:

P(A) = 4/9

Similarly, the probability of drawing a red marble on the second draw is also:

P(B) = 4/9

The probability of drawing 2 red marbles in a row is the probability of both events occurring:

P(A and B) = P(A) × P(B) = 4/9 × 4/9 = 16/81

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Answer:

422.39

Step-by-step explanation:

\(A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39\)

use a calculator for the above and round

The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Answer:

cheese

Step-by-step explanation:

cheese is the best answer

The area of the irregular shape is 84 ft square.

The diagram is a trapezium. A trapezium is a quadrilateral. Therefore, the area of the trapezium can be found as follows:

area of the trapezium = 1 / 2 (a + b)h

where

Therefore,

a = 10 ft

b = 18 ft

c = 6 ft

area of the trapezium = 1 / 2 (10 + 18)6

area of the trapezium = 1 / 2 (28)6

area of the trapezium = 168 / 2

area of the trapezium = 84 ft²

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We know that every equation expressed in terms of x can be graph in an x-y plane, in this case the equation is

if we want to move it up or down we add or substract the quantity of unities we are moving it. If we want to move it down two unities we substract 2 on the whole equation:

If we want to move it to the left or to the right we add or substract the quantity of unities we are moving it to the x term. If we add it means it is going to the left and if we substract it means it is going to the right. If we want to move it one unity to the right then we substract 1 from the x :

Then, the function:

is the result of moving

f(x) = x³

1 unit to the right and 2 units down

A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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Answer:

I do believe y= -2

Rise over run method

Answer:

Step-by-step explanation:

4s + 2c = 23

3s + 5c = 32

System of equations?

To find the point on the hyperbola xy = 8 that is closest to the point (3, 0), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Let's denote the coordinates of the point on the hyperbola as (x, y). Substituting the given coordinates (3, 0) and the equation of the hyperbola xy = 8 into the distance formula, we get:

Distance = √[(x - 3)² + (y - 0)²]

Now, we need to minimize this distance. Since the distance is squared, we can minimize the square of the distance, which is:

Distance² = (x - 3)² + y²

To minimize this expression, we can take its derivative with respect to x and y and set them equal to zero. Let's differentiate Distance² with respect to x and y:

d(Distance²)/dx = 2(x - 3)

d(Distance²)/dy = 2y

Setting these derivatives equal to zero, we have:

2(x - 3) = 0 => x = 3

2y = 0 => y = 0

Therefore, the point on the hyperbola xy = 8 that is closest to the point (3, 0) is (3, 0).

Note that the distance from (3, 0) to any point on the hyperbola xy = 8 is always the same, which means the hyperbola is equidistant from the point (3, 0).

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The maximum magnitude of acceleration is approximately 4.085 m/s².

To find the period of the motion, we need to determine the time it takes for the peg to complete one full revolution around the circle. The period can be calculated using the formula:

T = 2πr/v

where T is the period, r is the radius of the circle, and v is the tangential speed of the peg.

Given:

r = 0.19 m

v = 0.88 m/s

Substituting these values into the formula, we have:

T = 2π(0.19 m)/(0.88 m/s)

T ≈ 0.432 s

Therefore, the period of the motion is approximately 0.432 seconds.

Part E: To find the amplitude, we can use the radius of the circle since the motion is along a circular path. The amplitude is equal to the radius of the circle:

Amplitude (A) = 0.19 m

Part F: The maximum displacement is equal to the diameter of the circle since the peg moves from one extreme point to the other:

Maximum Displacement = 2 * 0.19 m = 0.38 m

Part G: The maximum magnitude of acceleration occurs at the extreme points of the circular path. It can be calculated using the formula:

amax = v²/r

where amax is the maximum acceleration, v is the tangential speed, and r is the radius of the circle.

Substituting the given values, we have:

amax = (0.88 m/s)² / 0.19 m

amax ≈ 4.085 m/s²

Therefore, the maximum magnitude of acceleration is approximately 4.085 m/s².

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Answer:

D. She multiplied p by 0.25 then subtracted that from p.

Step-by-step explanation:

p is the normal cost

discount is 25% so the total discount is 0.25p

the sale price = normal cost - discount = p - 0.25p = 0.75p