Solve for X please!!!!!!!!!!!!! I need this answer ASAP

2x + 1/3x = 21

Answer:

6561

Step-by-step explanation:

Simplifying 9⁴ gives 6561

You can multiply exponents to get certain values, so it can also be expressed as:

\((9^{2})^2\)

The probability that the defending champion wins the tournament in a single elimination format is approximately 65.17% or 0.6517.

To calculate the probability that the defending champion wins the tournament in a single elimination format, we need to consider all possible paths that lead to the champion winning three consecutive matches.

There are two possible scenarios:

1. The champion wins the first three matches.

2. The champion loses one match but wins the next three matches.

Let's calculate the probability for each scenario:

Scenario 1: The champion wins the first three matches.

Since the champion has a probability of 0.7 of winning each match, the probability of winning three consecutive matches is:

P(win) x P(win) x P(win) = 0.7 x 0.7 x 0.7 = 0.343

Scenario 2: The champion loses one match but wins the next three matches.

The champion can lose any of the first three matches with a probability of (1 - 0.7) = 0.3. After losing one match, the champion must win the remaining three matches.

Therefore, the probability of losing one match and winning the next three matches is:

P(lose) x P(win) x P(win) x P(win) = 0.3 x 0.7 x 0.7 x 0.7 = 0.1029

Now, we need to consider the number of ways these scenarios can occur. In Scenario 1, the champion can win the first three matches in only one way. In Scenario 2, the champion can lose any of the first three matches in three different ways (assuming each challenger is equally likely to win).

So, the total probability of the defending champion winning the tournament is:

Total Probability = (Probability of Scenario 1) + (Probability of Scenario 2)

Total Probability = (0.343 x 1) + (0.1029 x 3) = 0.343 + 0.3087 = 0.6517

Therefore, the likelihood of the defending champion emerging victorious in the single elimination tournament is roughly 0.6517, which can also be expressed as 65.17%.

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The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:

Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.

Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.

Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.

Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.

Let's proceed with the calculations:

Step 1: Calculate the sample mean and sample standard deviation (s).

Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4

Sample size (n) = 50

Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12

Sample standard deviation (s) = 2.18

Step 2: Determine the critical value (t*) for a 95% confidence level.

Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.

Step 3: Calculate the standard error (SE).

SE = s / √n = 2.18 / √50 ≈ 0.308

Step 4: Calculate the margin of error (ME).

ME = t* * SE = 2.01 * 0.308 ≈ 0.619

Step 5: Construct the confidence interval.

Confidence Interval = 6.12 ± 0.619

Lower bound = 6.12 - 0.619 ≈ 5.501

Upper bound = 6.12 + 0.619 ≈ 6.739

The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).

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Answer:

x = 50°, y = z = 40°

Step-by-step explanation:

x = 50° ( Alternate angle )

z = 180° - (110 + 30)° = 180° - 140° = 40° ( sum of angles in Δ )

y = z = 40° ( Alternate angles )

Answer:

-0.42........

ANSWER

My answer is in the photo above

Answer:

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

Given three interior angle measures of a triangle:

Use the triangle sum theorem to find the missing angle:

So the missing angle is 67°.

Answer:

3:2

Step-by-step explanation:

divide both numbers by 6

Answer:

x=-2

Step-by-step explanation:

7x-11=-19+3x

7x-3x=-19+11

4x=-8

4x/4=-8/4

x=-2

Answer:

Step-by-step explanation:

ford would be 250 in metres and the decimal would be the smallest

jerry, Simon, curst, carl, ford

Answer:

Jenna will have had to babysit for 9 weeks to have saved enough money to buy the boots.

Step-by-step explanation:

Because Jenna earns $12 per week babysitting, you'd multiply her earnings each week by each number of weeks: 12 x 9 = 108.

If you try 12 x 8, you get 96, which isn't enough to buy the boots. Therefore, Jenna would have had to work 9 weeks to be able to afford the boots and have some money leftover.

I hope this was helpful to you. If it was, please rate and press thanks! Have a great day!

Answer:

B.

step by step

because 12×9=108

Answer: 56

Step-by-step explanation:because x=5+3 y=1+6 area of rectangle abcd=xy

8*7=56

Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

Answer:

y=2x+3

Step-by-step explanation:

include "h′(2)=" in your answer. For example, if you found h′(2)=7, you would enter 7. is -24.


Using the product rule, we know that h′(x)=f′(x)g(x)+f(x)g′(x).
Plugging in the values we know, we have f′(x)=−8x+4 and f(2)=−21.
Therefore, h′(2)=f′(2)g(2)+f(2)g′(2)=(-8(2)+4)(3)+(-21)(-4)= -24.


Thus, h′(2)=-24.



Step 1: Differentiate f(x)
f(x) = -4x^2 + 4x - 5
f'(x) = -8x + 4

Step 2: Calculate f'(2)
f'(2) = -8(2) + 4 = -16 + 4 = -12

Step 3: Use the given values
g(2) = 3 and g'(2) = -4

Step 4: Apply the product rule
h'(x) = f'(x)g(x) + f(x)g'(x)
h'(2) = f'(2)g(2) + f(2)g'(2)

Step 5: Plug in the values
h'(2) = (-12)(3) + f(2)(-4)

Step 6: Calculate f(2)
f(2) = -4(2)^2 + 4(2) - 5 = -4(4) + 8 - 5 = -16 + 8 - 5 = -13

Step 7: Substitute f(2) into the equation
h'(2) = (-12)(3) + (-13)(-4) = -36 + 52 = 16


The value of h′(2) is 16.

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The maximum likelihood estimator (MLE) of μ for a normal population with known variance is X, the sample mean. Therefore, the MLE of μ in this case is option (c), X.

The MLE is the value of the parameter that maximizes the likelihood function, which is the joint probability density function of the sample. For a random sample from a normal population with known variance, the likelihood function is proportional to exp(-1/2∑(xi-μ)^2/sigma^2), where the sum is taken over all the sample values xi. Taking the derivative of this function with respect to μ and setting it equal to zero, we obtain the equation X = μ, which implies that X is the MLE of μ. Option (a) and (b) do not make sense as they involve taking the inverse or inverse square of the sample, and option (d) suggests subtracting 1 from the sample mean, which is not a valid estimator for μ.

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2 gallons per hour must flow out at spout B in order to fill the drum in exactly 96 hours

If the rate of flow through spout A is 2 gallons per hour and the drum needs to be filled in exactly 96 hours, then the total volume that needs to be filled is 2 gallons/hour × 96 hours = 192 gallons.

To fill the drum in 96 hours, the same amount of liquid should flow out of spout B. Therefore, the rate of flow out of spout B should be 192 gallons / 96 hours = 2 gallons per hour.

Hence, 2 gallons per hour must flow out at spout B in order to fill the drum in exactly 96 hours.

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The theorem simply states that diagonals of a parallelogram bisect each other is proven as OA = OC.

From the information, OA = OC and OB = OD. In both triangles AOD and BOC, AD = BC since opposite angles are equal.

Also, ADO = CBO since alternate interior angles are equal. Also, DAO = BCO.

Therefore, OA = OC

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the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

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Answer:

The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation:

A pyramid and a cone are both 12 centimeters tall and have the same volume.... What is the volume?

Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement, and it is

The horizontal cross-sections of the prisms at the same height must have the same area cone and given pyramid are looks like same in two-dimensional.

The horizontal cross-sections of the prisms at the same height must have the same area thus the correct option is A.

A pyramid and a cone are both 12 centimeters tall and have the same volume, we know that Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement, and it is the horizontal cross-sections of the prisms at the same height must have the same area cone and given pyramid are looks like same in two-dimensional.

If we cross-section the figures at the same height, it won't get the same shape but we should get the same area, as the area of the cross-section will be proportional to the base area, and the base area of both figures are the same.

Thus, the correct option is A.

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Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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Answer:

what is this ...is this really a question

Answer:

Square root2 /3

Step-by-step explanation:

1. Multiply both numerator and denominator by square root of 2.

2. Square root 2 times itself is just 2 that so denominator is 5-2

3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2

4. 5-2=3 so final answer is Square root 2 over 3

Answer:

Step-by-step explanation:

Step one:

Given data

the initial salary is = $42,360

the raise in percentage is =3.4%

To know the raise we need to calculate what the amount of 3.4% of $42,360 is

Step two:

=(3.4/100)*42,360

=0.034*42360

=1440.24

therefore thr raise is $1440.24

Step three:

the new salary is given as

new salary= old salary+ raise

New salary= $42,360+$1440.24

New salary= $43,800.24

Answer:

Step-by-step explanation:

Hope this helps sorry if I'm not right

Answer:

6 miles

Step-by-step explanation:

just do 1.2 x 5 which is 6

The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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Answer:

Solution given:

arc AB :angle=\(\frac{\pi }{3}\)=60

radius[r]=1

Now

we have

Circumference the circle is the length of arc AB ⌢:\(\frac{arc AB }{360}2\pi*r\)

:

\( \frac{180}{3} \div 360 \times 2\pi \: \times 1\)

=⅓π or 1.047units

Note:

For angle π=180

For length π=\(\frac{22 }{7}\).

L

π/3=60°

Answer:

9(8d + 9)

Step-by-step explanation:

Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:

72d + 81

9(8d + 9)

So, the factored expression is 9(8d + 9)