7/8 divided by 3/4.

Based on the table below, the probability distribution for the game shows the probability of winning different cash prizes.Probability (not winning a cash prize) = Q1 + Q2 + ... + Qn

To calculate the probability of not winning a cash prize, we need to add up the probabilities of losing or not winning anything. From the table, we can see that the probability of not winning a cash prize is 0.6 + 0.2 + 0.05 = 0.85. This means that if the game is played one time, there is an 85% chance of not winning a cash prize. It's important to note that the remaining 15% represents the probability of winning some type of cash prize. It's always important to consider the probability of both winning and losing when playing any type of game or taking a risk.

| Cash Prize | Probability |
|------------|-------------|
| $50        | 0.1         |
| $20        | 0.2         |
| $10        | 0.25        |
| $5         | 0.25        |
| $0         | 0.6         |
|------------|-------------|
| Total      | 1.0         |

The probability distribution table shows the possible outcomes and their associated probabilities for the game. To find the probability of not winning a cash prize, we need to identify the outcomes where no cash prize is won and sum their probabilities.

Let's assume the table has a column for outcomes with cash prizes and their probabilities (P1, P2, etc.), and a column for outcomes without cash prizes and their probabilities (Q1, Q2, etc.). To find the probability of not winning a cash prize, simply add the probabilities of all non-winning outcomes:

Probability (not winning a cash prize) = Q1 + Q2 + ... + Qn

This calculation provides the likelihood of not winning a cash prize when playing the game one time.

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A measurable characteristic of an entire population is a parameter.

The population data is the real data for a certain attribute in the context of statistics, whereas the sample data is the representative data picked from the population. Metrics like mean, standard deviation, median, and mode are typically used to measure the characteristics of the sample and population.

Option B is the right response to the provided question.

A parameter is a quantity that affects a mathematical object's output or behavior yet is thought of as being held constant. Variables and parameters have a lot in common, and in some cases, the distinction is really one of perspective.

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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In ideal projectile motion, when the positive -axis is chosen to be vertically upward, the -component of the velocity of the object during the ascending part of the motion and the -component of the velocity during the descending part of the motion are b) negative, positive respectively.

In ideal projectile motion, the initial velocity of an object can be separated into its x-component (horizontal) and y-component (vertical). When the positive y-axis is chosen to be vertically upward, the object experiences a constant acceleration due to gravity.

This results in a negative y-component of velocity during the ascending part of the motion (as the object is moving upwards against gravity) and a positive y-component during the descending part of the motion (as the object is falling downwards with gravity).

To summarize, the y-component of velocity is negative during the ascending part of the motion and positive during the descending part. This is because gravity acts downwards, causing the object to slow down as it rises and speed up as it falls.

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The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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The interval is the value (-∞,2)

We have given that,

f(x)=x-3

g(x)= - 0.5x

First, calculate the (f-g)(x)

Since  f(x)=x-3

g(x)= - 0.5x

So, (f-g)(x) = x-3-(- 0.5x)

⇒(f-g)(x) = x-3+ 0.5x

⇒(f-g)(x)

=1.5x-3

Now we are supposed to find the interval for which (f-g)(x) is negative.

So, (f-g)(x) =1.5x-3 <0

⇒1.5x<3

\(x < \frac{3}{1.5} \\x < 2\)

Thus for (f-g)(x), negative x must be less than 2

Thus the interval is(-∞,2)

Hence option B is correct.

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To list all of the angles that satisfy the condition "measures less than m ∠ 8" using the Exterior Angle Inequality Theorem, we can follow these steps:

1. Start by identifying the given angle, ∠8.

2. According to the Exterior Angle Inequality Theorem, any exterior angle of a triangle is greater than either of its corresponding remote interior angles.

3. In this case, if we are looking for angles that measure less than ∠8, we need to find the remote interior angles that are smaller.

4. Let's assume that the given angle ∠8 is part of a triangle. To find the remote interior angles, subtract the measure of ∠8 from 180 degrees, as the sum of the interior angles of a triangle is always 180 degrees.

5. After subtracting the measure of ∠8 from 180 degrees, you will obtain two angles. These two angles will be the remote interior angles of ∠8.

6. Any angle that measures less than both of these remote interior angles will satisfy the condition "measures less than m ∠ 8".

Therefore, to list all of the angles that satisfy the stated condition, you need to find the remote interior angles of ∠8 and identify any angles that measure less than both of these remote interior angles.

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Solution

We are given

We want to find make table and graph

(a). To make table, We take

Similarly, we find the values for the remaining values of x

To draw the graph, we have

The number of different possible ways in which the gifts can be given to 3 out of 23 women is 10626.

Each gift can be considered a position given to one of 23 women. The number of ways in which gift can be given to them is :

First gift : 23 possibilities

Second gift: 22 possibilities

Third gift: 21 possibilities

So, the gifts may be given in

23 * 22* 21

= 10626

We could encounter several patterns and number kinds in mathematics. Sequences are included in one of the number patterns.

Repetition is permitted and order is important in the sequence, which is a predetermined group of objects. Formally, a sequence is a function that connects the elements at each point to natural numbers. It has members, which are known as elements or words, just like a set.

The length of the sequence is determined by the number of items. In contrast to a set, the same items might appear more than once in a sequence at various points, and the order does important.

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Answer:

X=2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.

Answer:

(4x^2-5) x (2x^2-9)

Step-by-step explanation:

01.) Write -46x^2 as a difference

8x^4-10x^2-36x^2+45

02.) Factor out 2x^2 from the expression

8x^4-10x^2 -36x^2+45

2x^2 * (4x^2-5) - 36x^2+45

03.) Factor out -9 from the expression

2x^2 * (4x^2-5) - 9(4x^2-5)

2x^2 *(4x^2-5)-9(4x^2-5)

04. Factor out 4x^2-5 from the expression

(4x^2-5) *(2x^2-9)

Answer:

This is True

Step-by-step explanation:

I know this because it is like dividing you just divide 15 by 5 and the it will be equal

After integration, the equation a1x2 + y2f(x,y) da = a(11 - a2) = [(11 - 2sqrt(30))/2] follows. π(22 - 2[(11 - 2sqrt(30))/2]²) = 1.

Given that a 1 and the circle x2 + y2 a, the integral of the function f(x,y) = 11 - x2 - y2 is as follows:

∬[x^2 + y^2 < a^2] (11 - x^2 - y^2) dA

To calculate the integral's value, we can use polar coordinates. The boundaries of inclusion are 0 r a and 0 2. In polar coordinates, r dr d denotes the differential area element dA.

Consequently, we have:

∬[x^2 + y^2 < a^2] (11 - x^2 - y^2) dA

= ∫[0,2π] ∫[0,a] (11 - r^2) r dr dθ

= ∫[0,2π] [(11a^2)/2 - (a^4)/4] dθ

= 2π [(11a^2)/2 - (a^4)/4]

= πa^2 (22 - 2a^2)

We must now work out the equation to determine the value of a such that the integral equals 1.

a^2 π (22 - 2a^2) = 1

When we divide both sides by and rearrange them, we get:

22a^2 - 2a^4 = 1

2a^4 - 22a^2 + 1 = 0

The quadratic formula can be used to answer this quadratic equation:

a^2 = [22 +/- sqrt(22^2 - 4(2)(1))]/(2(2))

a^2 = [22 − sqrt(480)]/4

a^2 = [22 ± 4sqrt(30)]/4

a^2 = (11 ± 2sqrt(30))/2

We pick the negative root since an is a 1, which is:

a^2 = (11 - 2sqrt(30))/2

In light of this, a1x2 + y2f(x,y) da = a(11 - a2) = [(11 - 2sqrt(30))/2]

π(22 - 2[(11 - 2sqrt(30))/2]²) = 1.

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Answer:

x = 2

Step-by-step explanation:

6 ÷ 2 = 3

8 ÷ 2 = 4

4 ÷ 2 = 2

Answer:

B. Is the right answer you can now because of the measure

Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

In terms of x and y, Julia's withdrawal from her savings account was equal to y/4 + x/12.

An expression obtained by performing a finite number of algebraic fundamental operations on symbols representing numbers.

Both Ang and Julia have savings balances of x and y dollars, respectively.

Ang = x dollars

Julia = y dollars

Ang offers Julia a third of his savings, which she then transfers to her own savings account.

Amount in Julia's account = (1/3)x + y

Julia then spends a quarter of the total into her savings account.

Amount of money Julia spent = 1/4 × [(1/3)x + y]

                                                 = (1/12)x + (1/4)y

                                                 = y/4 + x/12

Therefore, in terms of x and y, the amount Julia spent from her savings account is y/4 + x/12.

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Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In the question some iformation is missing, which can be defined as follows:

Given:

The value of males:

\(n_1= 59\\s_1= 1.46\\\bar y_1=2.91\\\)

The value of Females:

\(n_2=60\\s_2= 2.48\\\bar y_2=7.42\\\)

Calculating Degrees of Freedom:

\(\bold{ df=\frac{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}{ \frac{1}{n_1-1} (\frac{s_1^2}{n_1})^2+\frac{1}{n_2-1} (\frac{s_2^2}{n_2})^2}}\\\\\\\)

    \(=\frac{(\frac{1.46^2}{59}+\frac{2,48^2}{60})^2}{ \frac{1}{59-1} (\frac{1.46^2}{59})^2+\frac{1}{60-1} (\frac{2.48^2}{60})^2}\\\)

    \(=9.58 or 95\)

\(\alpha= 1-0.95\\\\\)

   \(= 0.05\)

for 95% confidence interval are:

\(\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\)  

From its t-distribution table , the value of t has an region of (\(\frac{\alpha}{2} \ \ 0.025\)) for (df=95) in its upper tail.

shall be given by = t {0.025}=1.985

Calculating the margin of Error:

\(M_OE =t_{0.025} \times \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\)

         \(=1.985\times \sqrt{\frac{1.46^2}{59}+\frac{2.48^2}{60}}\\\\=0.739\)

The difference in mean bill color "\(\mu_2 -\mu_1\)" with 95% confidence intervals:

\(\to (7.42 - 2.91) \pm 0.739\\\\\to 4.51 \pm 0.739\)

Lower limit=3.771

Upper limit = 5.249

The correct answer is option 1) "There is no correlation between the amount of sleep and the number of calories burned."

Based on the information provided, the yoga instructor can conclude that there is no correlation between the amount of sleep and the number of calories burned during class. Therefore, the correct answer is

option 1) "There is no correlation between the amount of sleep and the number of calories burned."

Option 2) suggests that further studies would be needed to determine causation, but since there is no correlation found in this study, there is no basis for further investigation into causation.

Option 3) suggests that there is a correlation between the amount of sleep and the number of calories burned and that there is likely causation. However, this conclusion contradicts the information provided, which indicates that there is no correlation between these variables.

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Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

Usando proporciones, hay que no se trabajaron en 65 dias durante el año de 2018 en la empresa SAC-OLC.

Una proporción es una fracción de la cantidad total, e los problemas pueden ser resolvidos con una regla de três.

En este problema, hay que se fabricaran 24000 ollas en el año de 2018, con una taja de 80 ollas al dia. Así, el número de dias trabajados es dado por:

n = 24000/80 = 300.

El año de 2018 tuvo 365 dias, así, el número de dias no trajados fue de:

365 - 300 = 65.

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The percent increase and decrease between the given starting and ending quantities above are as follows:

In Mathematics, there are two main types of percentage and these include the following:

Mathematically, percentage increase can be calculated by using this formula:

Percentage increase/decrease = [Final value - Initial value]/Initial value × 100

Substituting the given parameters into the formula, we have;

Percentage increase = [10 - 3]/3 × 100

Percentage increase = 7/3 × 100

Percentage increase = 233.3%.

Percentage increase = [20 - 9]/9 × 100

Percentage increase = 11/9 × 100

Percentage increase = 122.2%.

Percentage decrease = [100 - 85]/9 × 100

Percentage decrease = 15/85 × 100

Percentage decrease = 17.7%.

Percentage decrease = [45 - 20]/20 × 100

Percentage decrease = 25/20 × 100

Percentage decrease = 125%.

Percentage increase = 30/30 × 100

Percentage increase = 100%.

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Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = \(\frac{1}{10}\)

  Not as president = \(1 - \frac{1}{10}\) = \(\frac{9}{10}\)

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = \(\frac{9}{10}*\frac{1}{9}*1\)  = \(\frac{1}{10}\)  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = \(\frac{9}{10}\)

Probability for not chosen as secretary =  \(1-\frac{1}{9} = \frac{8}{9}\)

Probability to be chosen as treasurer = \(\frac{1}{8}\)

Probability to be chosen as Treasurer = \(\frac{9}{10}*\frac{8}{9}*\frac{1}{8}\) = \(\frac{1}{10}\)

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = \(\frac{1}{10} +\frac{1}{10} = \frac{1}{5}\)

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

Answer:

\(volume=1/3 ~BH\)

\(=1/3(16)^{2} \sqrt{17^{2} -8^{2} }\)

\(=1/3\times256\times15\)

\(=1280 ~ft^{3}\)

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

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