I
need help with this question
12e3x dx then u becomes... 6x - 1 If we use integration by parts with u = 23x? on the integral -6 (6x - 1) B. 12 In 16x - 11 A O C.3x2 - x OD. 2 in 16x - 11 E. 6xe3x? 12 OF 3x2 -X G 1 3x2 - x Reset Se

there are 1,320 different ways in which the winners can be drawn in the lottery game.

To determine the total number of different ways in which the three grand prize winners can be drawn, we can use the formula for combinations.

The number of ways to choose r items from a set of n items is given by the formula

nCr = n! / (r! × (n - r)!)

where n! represents the factorial of n, or n × (n-1) × (n-2) × ... × 2 × 1, and r! represents the factorial of r.

For the first prize, there are 12 possible winners, so there are 12 ways to choose the first prize winner.

For the second prize, there are 11 remaining finalists, since the first prize winner cannot win the second prize. So, there are 11 ways to choose the second prize winner.

For the third prize, there are 10 remaining finalists, since the first and second prize winners cannot win the third prize. So, there are 10 ways to choose the third prize winner.

The total number of different ways to choose the three grand prize winners is the product of the number of ways to choose each prize

12 × 11 × 10 = 1,320

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Answer:

3.25 pounds

Step-by-step explanation:

x + 4 (1/2) + 3 (1/2) = 11

x + 4.25 + 3.5 = 11

x + 7.75 = 11

x = 11 - 7.75

x = 3.25 pounds

Answer:

Did you forget to add the rhombus picture?

Step-by-step explanation:

n

-

4

=

3

+

6

n-4=3n+6

n−4=3n+6

Solve

1

Add

4

4

4

to both sides of the equation

−

4

=

3

+

6

n-4=3n+6

n−4=3n+6

−

4

+

4

=

3

+

6

+

4

n-4+{\color{#c92786}{4}}=3n+6+{\color{#c92786}{4}}

n−4+4=3n+6+4

2

Simplify

3

Subtract

3

3n

3n

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

Answer:

n=-5

Step-by-step explanation:

-4=2n+6

-10=2n

-5=n

Answer:

h=5/18

Step-by-step explanation:

Hi there!

If you try to solve 1/2-h=2/9 for h immediately, you will find that you cannot because the denominator is odd for 2/9. Multiply 2 for the numerator and the denominator to get 4/18. Now we have 1/2-h=4/18. Multiply the numerator and denominator by 9 to get 9/18-h=4/18. H=5/18.

Answer:

\(\boxed{h=\dfrac{5}{18}}\)

Step-by-step explanation:

\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\)

1. Subact  \(\dfrac{1}{2}\)  from both sides:

\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}\)

2. Divide both sides by -1

\(\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}\)

Final answer: \(\boxed{h=\dfrac{5}{18}}\)

Hope this helps!

The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Answer:

10

Step-by-step explanation:

Answer:

The answer is 10.

Step-by-step explanation:

25 - 5 = 20

20 - 10 = 10.

The probability that a single randomly selected value is more than 987 dollars is 0.5664

We know that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

We know very well that z-value is calculate by the formula

z = (X-μ) / σ/√n

where z is the z-value,

X is randomly selected value,

μ is standard mean

σ is standard deviation and

n is the sample size.

For, X=987

=>z = (987-1037) / (243/√69)

=>z= -50 / (243 / 8.33)

=>z = -50 / (29.171)

=>z= -1.714

Now, we need to find the probability of A>987,so,we need to find what is the probability of A<=987.

P(X>987)= 1-P(X≤987)

=>P(X>987)=1-P(z<(-1.714))

Using the z-table ,we get that P(z<(-1.714))=0.43353

Therefore, P(X>987)=1-0.43353=0.5664

Hence, required probability is 0.5664

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(Complete question) is:

CNNBC recently reported that the mean annual cost of auto insurance is 1037 dollars. Assume the standard deviation is 243 dollars. You take a simple random sample of 69 auto insurance policies. (Do not use tables unless directed to do so.)

Find the probability that a single randomly selected value is more than 987 dollars. P(Â > 987).Enter your answers as numbers accurate to 4 decimal places.

Using the given description < NOP is found to be 46 degrees

given data]

< OPQ = ( 9x - 19 ) degrees

< PNO = ( 2x + 5 ) degrees

< NOP = ( 3x + 16 ) degrees

From the figure described

let < NPO = y

< PNO + < NOP + y = 180 degrees ( sum of angles of triangle )

< OPQ + y = 180 degrees ( linear pair theorem )

Hence we equate both

< PNO + < NOP + y = < OPQ + y

< PNO + < NOP  = < OPQ + y - y

< PNO + < NOP  = < OPQ

( 2x + 5 ) + ( 3x + 16 ) =  ( 9x - 19 )

2x + 3x + 5 + 16 = 9x - 19

5x + 21 = 9x - 19

21 + 19 = 9x - 5x

40 = 4x

x = 40 / 4

x = 10

< NOP = ( 3x + 16 ) degrees

< NOP = ( 3 * 10 + 16 ) degrees

< NOP = ( 30 + 16 ) degrees

< NOP = 46 degrees

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Answer:

Step-by-step explanation:

9

Answer:

The answer is 36

Step-by-step explanation:

Times the 6 to get the area

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

Answer: YZX

Step-by-step explanation:

Since the triangles have equivalent side (and therefore angle) measurements, the congruency statement is SSS.

(I hope this is what it is referring to when speaking of congruency statements!! :0)

Edit: I looked at it a little closer and realized what it meant !!

We can use SSS to prove that the angles are equivalent, and then define the triangle with the corresponding angles (in the correct order).

Angle A is equivalent to Angle Y , Angle B is equivalent to Angle Z , and Angle C is equivalent to Angle X .

Since the first triangle is ABC, YZX is your answer.

The representation of the number is 1.998 multiplied by 10^27

The expression is given as

1.998 x 10^27

The above mathematical representation is a number in scientific form and is already in its most simplified form

This means that the scientific form cannot be further simplified

However, the scientific number can be rewritten as a mathematical statement

Recall that, we have

1.998 x 10^27

The pronunciation of the above expression is:

1.998 multiplied by 10^27

And it is evaluated by

Moving the decimal point 27 places to the right.

This gives

1998000000000000000000000000

See that the above result does not have a proper representation compared to 1.998 x 10^27

Hence, the representation of the scientific number given as 1.998 x 10^27 is the 1.998 multiplied by 10^27

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Here is my answer. I hope this is of use to you.

Answer:

y=3x+2

Step-by-step explanation:

The slope-intercept form is written in y=mx+b.
An example would be y=3x+2.

You can essentially put anything here, like:

y=1.5x+6

y=6x+1.5

y=2/3x+129

Answer:

x+20 squared = 25 squared ; 15ft

Step-by-step explanation:

The value of algebraic expression \(y^2+6y+8\) at y = -3 is -1.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

In the given question,

algebraic expression =  \(y^2+6y+8\)

the value of the algebraic expression at y = -3

\(= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1\)

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Answer:

Factoring: \(x = -\frac{1}{5}, -3\)

Step-by-step explanation:

A) You can factor the expression \(5x^2 + 16x + 3\) into \((5x+1)(x+3)\).

5x + 1 = 0 and x + 3 = 0

\(x = -\frac{1}{5}, -3\)

B) I would use factoring because you can factor this expression, and you don't have to use completing the square

Answer:

-4

Step-by-step explanation:

Answer:

\(5x + 8 + 2x - 6 \\ collecting \: like \: terms \: \\ 5x + 2x + 8 - 6 \\ 7x + 2\)

Answer:

209.46

Step-by-step explanation:

subtract $357.45, $97.99, and $50 and

you'll get $209.46

Answer:

always

Step-by-step explanation:

a straight line is always 180 degrees, and one right angle is always 90 degrees. if you have two right angles, it always adds up to 180 degrees, which is a straight line. therefore, the answer is always.

The coefficient of determination for the model r² is  1 - SSE/SSTO.

Here we have three terms that is

Total sum of squares i.e. SSTO

Regression sum of squares i.e. SSR and

Error sum of squares i.e. SSE

Now we know,

SSTO = SSR + SSE

which means,

SSR = SSTO - SSE

Since,

         r² = SSR/SSTO

So,

     r² = SSTO - SSE/SSTO

         = SSTO/SSTO - SSE/SSTO

         = 1 - SSE/SSTO

Therefore when the data is given this is the way to calculate the coefficient of determination for the model r².

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The above question is missing data.

Answer:

Question 1:

\({ \tt{1 \: in = 2.54 \: cm}} \\ { \tt{5.36 \: in = (5.36 \times 2.54) \: cm}} \\ { \tt{ diameter= 13.6144 \: cm}} \\ \\ { \tt{radius = ( \frac{1}{2} \times 13.6144)}} \\ \\ { \tt{radius = 6.8072 \: cm}}\)

Question 2:

\({ \tt{ \frac{3.00 \times {10}^{8} \: m}{1 \: s} = \frac{( \frac{1}{1609}) \times 3.00 \times {10}^{8} \: mi }{( \frac{1}{3600} ) \: h} }} \\ \\ = { \tt{(1.86 \times {10}^{5}) \times 3600 }} \\ \\ = { \tt{ 6.71 \times {10}^{8} \: mi {h}^{ - 1} }}\)

Question 3;

\({ \tt{ \frac{25.0 \: mi}{1 \: } = \frac{1.609 \times 25.0 \: km}{3.785 \: l} }} \\ \\ { \tt{ = 10.627 \: km {l}^{ - 1} }}\)

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

Answer:

the answer is 5

Step-by-step explanation:

Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

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The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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the mixed strategy where each player chooses each number with equal probability (1/3, 1/3, 1/3) is a Nash equilibrium for the Generalized Matching Pennies game.

To determine if the Generalized Matching Pennies game has a pure Nash equilibrium (NE), we need to check if there is a strategy combination where neither player has an incentive to deviate unilaterally.

In this game, each player has three possible pure strategies: choosing 1, 2, or 3. Let's analyze the payoffs for each strategy combination:

Player 1's Payoffs:

- If both players choose the same number and it is even, player 1 receives $1 from player 2.

- If both players choose the same number and it is odd, player 1 pays $1 to player 2.

- If the players choose different numbers, no payment is made.

Player 2's Payoffs:

- If both players choose the same number and it is even, player 2 pays $1 to player 1.

- If both players choose the same number and it is odd, player 2 receives $1 from player 1.

- If the players choose different numbers, no payment is made.

Let's consider the possible pure strategy combinations:

1. (1, 1):

- Player 1 receives $1 if the number is even.

- Player 2 pays $1 if the number is odd.

This strategy combination does not result in a balanced outcome for both players, as one player gains and the other loses.

2. (2, 2):

- Player 1 receives $1 if the number is even.

- Player 2 pays $1 if the number is odd.

Similar to the previous combination, this strategy combination does not result in a balanced outcome.

3. (3, 3):

- Player 1 pays $1 if the number is odd.

- Player 2 receives $1 if the number is even.

Again, this combination does not provide a balanced outcome.

Since none of the pure strategy combinations lead to a balanced outcome where neither player has an incentive to deviate, the Generalized Matching Pennies game does not have a pure Nash equilibrium.

However, we can find a mixed Nash equilibrium by considering mixed strategies where players choose their actions probabilistically.

Let's assume that both players choose each number (1, 2, and 3) with equal probability of 1/3. In this case, the expected payoff for both players would be zero, and no player would have an incentive to unilaterally deviate from this mixed strategy.

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