58 = 7x - 5

What is X?

The equation y= 1/2 x means that you want the y-values to be half of the x-value.

If x = 4, then y = 2.  If x = 10, then y = 5.

The only table table that shows this relationship is B.

Answer:

A,-i

Step-by-step explanation:

-i⁵=-i*-i*-i*-i*-i

=i*-i*-i*-i

=-i*-i*-i

=i*-i

=-i

Therefore, the expected annual profit of Ruby Company is 2.703 billion dollars using probability.

Let X be the annual profit of the company. We know that X follows a normal distribution with variance equal to the cube of its mean, i.e., Var(X) = (E[X])^3.

To find the expected annual profit, we need to find the mean of X, denoted as E[X].

We are given that the probability of an annual loss is 5%. This means that the probability of making a profit is 1 - 0.05 = 0.95.

Let Z be a standard normal random variable, then we have:

P(X < 0) = P((X - E[X]) / sqrt(Var(X)) < (0 - E[X]) / sqrt(Var(X)))

= P(Z < -E[X] / (E[X])^(3/2))

Since P(X < 0) = 0.05, we have:

0.05 = P(Z < -E[X] / (E[X])^(3/2))

Using a standard normal table or calculator, we can find that P(Z < -1.645) = 0.05, where -1.645 is the 5th percentile of the standard normal distribution.

Thus, we have:

-E[X] / (E[X])^(3/2) = -1.645

this equation, we get:

E[X]^(1/2) = 1.645

Taking the square of both sides, we get:

E[X] = 2.703

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The measure of the angle m∠ACB subtended by the arc AB at the center is equal to 140°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

The arc AB completes the circumference of the circle, with the other arc ADB

So since;

arc AB = 360° - 220°

arc AB = 140°

so;

m∠ACB = 140°

Therefore, the measure of the angle m∠ACB subtended by the arc AB at the center is equal to 140°

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Answer:

Step-by-step explanation:

x^4+13^x^2+36=4x^3+36

4x+26x+36=4x^3+36

30x+36=12x+36

30x=12x

so,x=1

Inequality for number line 1:  x ≤ -15

Inequality for number line 2:  ≥ 15

Inequality for number line 3: x ≥ 10

Inequality for number line 4: x ≤ -10

For the given number lines

We know that,

Inequalities specify the connection between two non-equal numbers. Equal does not imply inequality.

Typically, we use the "not equal symbol" to indicate that two values are not equal.

But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

For number line 1:

Since the line is starting from -15 and tending toward infinity of negative

So inequality be x ≤ -15

For number line 2:

Since the line is starting from 15 and tending toward infinity of positive

So inequality be x ≥ 15

For number line 3:

Since the line is starting from 10 and tending toward infinity of positive

So inequality be x ≥ 10

For number line 4:

Since the line is starting from 10 and tending toward infinity of positive

So inequality be x ≤ -10

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The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = 30

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

6 x 9 = 54

So, 12, 18, 24, 30, 36, 42, and 48.

I assume "between" means we aren't including 6 and 54.

The historian is engaged in the process of data collection, which is the first step in the data analysis process. In this case, the historian is collecting marriage records from the archives to estimate the average age at which men married in the United States in 1956.

   Once the historian has collected the data, he will move on to the next steps in the data analysis process, which include data preparation, data analysis, and interpretation of results. In data preparation, the historian will clean, transform, and organize the data so that it is ready for analysis. In data analysis, he will use statistical methods to analyze the data and answer his research question. Finally, in interpretation of results, he will draw conclusions from the analysis and communicate his findings.

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The historian is engaged in the process of data collection, which is the first step in the data analysis process. In this case, the historian is collecting marriage records from the archives to estimate the average age at which men married in the United States in 1956.

  Once the historian has collected the data, he will move on to the next steps in the data analysis process, which include data preparation, data analysis, and interpretation of results. In data preparation, the historian will clean, transform, and organize the data so that it is ready for analysis. In data analysis, he will use statistical methods to analyze the data and answer his research question. Finally, in interpretation of results, he will draw conclusions from the analysis and communicate his findings.

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We can begin by noting that 153° is the supplement of 27°, meaning that the sum of the two angles is 180°.

From this, we can use the fact that the sine function has a period of 360° to express the sine of 153° in terms of the sine of 27°. Specifically, we know that the sine of an angle and its supplement are equal, but the sine of an angle and its complement are not. Therefore, we can write: sin 153° = sin(180° - 27°) = sin 27°So we can say that sin 153° = t, since we were given that sin 27° = t. This result allows us to express the sine of 153° in terms of t, which was the goal of the problem.  In summary, we used the fact that 153° is the supplement of 27°, and the periodicity of the sine function, to express sin 153° in terms of sin 27° = t. This led us to the solution sin 153° = t, which provides a way of expressing the value of 153° in terms of t.

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The surface area of each cylinder would be = 777.15m²

To calculate the surface area of the given cylinder, the formula that should be use will be written below. That is;

Surface area of cylinder = 2πr²+2πrh

Where;

radius = diameter/2 = 15/2 = 7.5m

height = 9m

Surface area= 2×3.14×7.5×7.5+2×3.14×7.5×9

= 353.25+ 423.9

= 777.15m²

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The distribution that t follows is the maximum of three independent exponential distributions with a mean of 5 minutes each.

Each block takes an exponential amount of time with a mean of 5 minutes, which means that the time it takes to compile each block follows an exponential distribution with a rate parameter of 1/5. Since the blocks are being compiled independently of each other, the time it takes to compile all three blocks is the maximum of the three independent exponential distributions.

This distribution is known as the maximum of exponential distributions or the generalized extreme value distribution with a shape parameter of 0 and scale parameter of 5 minutes. Therefore, t follows a generalized extreme value distribution with a shape parameter of 0 and scale parameter of 5 minutes.

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Answer:112 players

Step-by-step explanation:

To solve the problem, we can use the formula:

Total number of players = Number of teams × Number of players per team

Since there are 14 teams with 8 players each, we have:

Total number of players = 14 × 8 = 112

Therefore, there are 112 players in the soccer league.

We need to convert the normal distribution of caffeine consumption to a standard normal distribution using the z-score formula. We can then look up the corresponding area under the standard normal distribution curve using a z-table.

Explanation:

To convert the normal distribution of caffeine consumption to a standard normal distribution, we use the z-score formula:

z = (x - μ) / σ

where x is the value we want to convert to a z-score, μ is the mean of the normal distribution, and σ is the standard deviation of the normal distribution.

In this case, we want to find the z-score for x = 240, μ = 240, and σ = 49:

z = (240 - 240) / 49 = 0

Since the z-score is 0, we can look up the area to the left of z = 0 in the standard normal distribution table. This area represents the percentage of adults who consume less than 240 mg of caffeine daily.

From the standard normal distribution table, we can see that the area to the left of z = 0 is 0.5000. Therefore, approximately 50% of adults consume less than 240 mg of caffeine daily.

So, the percent of adults who consume less than 240 mg of caffeine daily is 50%.

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The solution to the system of equations is

x = 3

y = 2

z = 2

Here, we have,

To solve for x, y, and z, we can use the elimination method or substitution method. Here, we will use the elimination method.

First, we will eliminate y from the equations by multiplying the first equation by 3 and the second equation by 1, and then adding them:

(3) (2x – y + 3z = 10)

6x – 3y + 9z = 30

(1) (x + 3y – 2z = 5)

x + 3y – 2z = 5

Adding the two equations gives:

7x + 7z = 35

Simplifying, we get

x + z = 5 (Equation 1)

Next, we will eliminate y again by multiplying the second equation by 2 and the third equation by 3, and then adding them:

(2) (x + 3y – 2z = 5)

2x + 6y – 4z = 10

(3) (3x – 2y + 4z = 12)

9x – 6y + 12z = 36

Adding the two equations gives:

11x + 8z = 46

Substituting x + z = 5 from Equation 1 into the above equation, we get:

11(x + z) + 8z = 46

11x + 19z = 46

Solving for z, we get:

z = 2

Substituting z = 2 into x + z = 5 from Equation 1, we get:

x + 2 = 5

x = 3

Finally, substituting x = 3 and z = 2 into any of the original equations, we can solve for y:

2x – y + 3z = 10

2(3) – y + 3(2) = 10

6 – y + 6 = 10

y = 2

Therefore, the solution to the system of equations is:

x = 3

y = 2

z = 2

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complete question:

Solve for x, y and z

2x – y + 3z = 10

x + 3y – 2z = 5

3x – 2y + 4z = 12

The computations for the p-value of a hypothesis test about a population mean rely on the mathematical properties of the t-distribution and the sample statistics.

The p-value in statistics is the probability that the null hypothesis will be rejected if it is true. In hypothesis testing, p-values are utilized to determine whether or not the null hypothesis should be rejected. The p-value is calculated utilizing a test statistic that is based on the sample statistics and the assumptions of the null hypothesis.

The significance level, alpha, is usually set at 0.05 or 0.01 in hypothesis testing.A p-value of less than or equal to the significance level (alpha) indicates that the null hypothesis should be rejected

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Answer:

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

∠ADC and ∠ABC subtend the same arc AC, hence ∠ABC is double the measure of ∠ADC:

To find the ratio of the volumes of two similar right cylinders, we need to know the ratio of their heights and radii. We can use the fact that the ratio of their surface areas is 36:121 to determine this. So, the ratio of the volumes of the two right cylinders is 216:1331.
Let the height and radius of the first cylinder be h1 and r1, respectively, and the height and radius of the second cylinder be h2 and r2, respectively. Then, we can write:
(2πr1h1)/(2πr2h2) = 36/121
Simplifying this equation, we get:
r1h1/r2h2 = 18/121
Since the cylinders are similar, we know that their ratios of heights and radii are equal. So, we can write:
r1/r2 = h1/h2 = x
Substituting this into our equation above, we get:
x^2 = 18/121
x = √(18/121) = 3/11
Therefore, the ratio of the volumes of the two cylinders is:
(r1^2h1)/(r2^2h2) = (r1/r2)^2(h1/h2) = (3/11)^2 = 9/121
In other words, the volume of the second cylinder is 121/9 times the volume of the first cylinder. Answer more than 100 words.
The ratio of the surface areas of two similar right cylinders is 36:121. To find the ratio of their volumes, we can use the fact that when two similar solids have a ratio of their surface areas (A1:A2), the ratio of their volumes (V1:V2) is the cube of the ratio of their corresponding linear dimensions (L1:L2).
First, let's find the ratio of the linear dimensions:
√(A1/A2) = √(36/121) = 6/11
Now, cube the ratio of the linear dimensions to find the ratio of their volumes:
(6/11)^3 = (6^3)/(11^3) = 216/1331
So, the ratio of the volumes of the two right cylinders is 216:1331.

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Increasing the number of scores in the samples for an independent-measures t-statistic has the effect of increasing the likelihood of rejecting the null hypothesis while having little or no effect on measures of effect size.

As the sample-size increases, the t-statistic becomes more robust and accurate, which leads to a more precise estimate of the population parameter. This increased precision reduces the variability in t-statistic, which makes it easier to detect small differences between the means of the independent groups.

With a larger sample size, the t-statistic's sampling distribution approaches a normal-distribution, allowing for more reliable statistical inference. This results in a narrower confidence interval and a smaller p-value, increasing the likelihood of rejecting the null hypothesis when there is a true difference between the groups.

Therefore, increasing number of scores in samples enhances power of independent-measures t-statistic.

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a) Yes, this provide strong evidence that more than 15% of college students in America have at least one sibling

b) Type of error might you have committed is type 1 error.

We can use the sample proportion of students with at least one sibling (20/100 = 0.2) to calculate a test statistic, which measures how far the sample proportion is from the null hypothesis. In this case, we can use a one-sample proportion z-test to calculate the test statistic:

z = (p1 - p) / √(p * (1 - p) / n)

where p1 is the sample proportion, p is the null hypothesis proportion, and n is the sample size.

Using the values from your question, we get:

z = (0.2 - 0.15) / √(0.15 * 0.85 / 100) ≈ 1.18

We can use a standard normal distribution to find the p-value, which is the probability of getting a test statistic as extreme as the one we observed, assuming the null hypothesis is true. The p-value can be calculated as:

p-value = P(Z > z)

where Z is a standard normal random variable.

Using a calculator or a table of standard normal probabilities, we can find that the p-value is approximately 0.12.

To make a decision about whether to reject or fail to reject the null hypothesis, we compare the p-value to a significance level, which is a threshold that we set to determine how much evidence we need to reject the null hypothesis.

The most common significance level is 0.05, which means that we are willing to accept a 5% chance of rejecting the null hypothesis when it is actually true.

In this case, the p-value (0.12) is greater than the significance level (0.05), so we fail to reject the null hypothesis. This means that we do not have strong evidence to conclude that more than 15% of college students in America have at least one sibling based on this sample.

Now, let's talk about the type of error that we might have committed when testing the hypothesis. In hypothesis testing, there are two types of errors: type I error and type II error.

A type I error occurs when we reject a true null hypothesis, and a type II error occurs when we fail to reject a false null hypothesis.

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(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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well, we know the store is having a 20% off sale, so if you go and buy a few items and the total cost is X, well, since the items are on sale, you won't be paying 100% of X, you'll be paying only 100% - 20% = 80% of X, hmmm how much is 80% of X anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of X}}{\left( \cfrac{80}{100} \right)X}\implies 0.80X \\\\[-0.35em] ~\dotfill\\\\ ~\hspace{12em}\stackrel{ \textit{total amount} }{A}~~ = ~~0.80X[/tex]

Thus, the probability of being dealt a full house with an Ace of Hearts is 0.0457% (rounded to 4 decimal places).

To calculate the probability of being dealt a full house with an Ace of Hearts in a standard 52-card deck, we can use the following formula:

=(number of ways to get a full house with an Ace of Hearts) / (total number of 5-card poker hands)

The total number of 5-card poker hands is C(52,5) = 2,598,960.

To count the number of ways to get a full house with an Ace of Hearts, we need to consider the following:

We choose 2 of the remaining 3 Aces from the deck: C(3,2) = 3

We choose 2 of the 12 remaining ranks for the other 2 cards: C(12,2) = 66

For each rank, we need to choose 2 cards from the 4 of that rank: C(4,2) = 6

Therefore, the number of ways to get a full house with an Ace of Hearts is 3 x 66 x 6 = 1,188.

Thus, the probability of being dealt a full house with an Ace of Hearts is:

1,188 / 2,598,960 ≈ 0.000457 = 0.0457% (rounded to 4 decimal places)

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The distance d from P to the point (0,0) is √x²+x.

What is the distance formula?

The d-distance between two places is calculated using the distance formula. The distance formula determines how far apart two areas are from one another. The dimensions of these points are unlimited.

Here, we have

Given: Let P(x,y) be a point on the graph of y=√x.

We have to find the distance d from P to the point (0,0)(0,0) as a function of x.

Since P = (x,y) is on the graph of y =√x,

P can be expressed as (x,√x).

Now, we apply the distance formula and we get

d = √[(x - 0)² + (√x - 0)²]

d = √x²+x

Hence, the distance d from P to the point (0,0) is √x²+x.

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An answer option that is true about the plane of intersection include the following: 1. The right cylinder is cut with a plane that is neither parallel nor perpendicular to the base.

In Mathematics and Geometry, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes generally intersect at a line.

In order to have an intersection of a right cylinder and a plane that would make an oval cross section, the right cylinder must be cut with a plane that is neither parallel nor perpendicular to its base.

However, if the right cylinder is cut with a plane that is parallel to its base, then, the shape of cross section that would be formed is a circle.

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If Andrea ate the same amount of calories both days, Each cookie has 100 calories.

To find out how many calories are in each cookie, we need to determine the total number of calories consumed and divide it by the total number of cookies.

On Friday, Andrea ate 4 cookies and 1700 calories with her meals, resulting in a total of 1700 + (4 * C) calories, where C represents the calories per cookie.

On Saturday, Andrea ate 5 cookies and 1650 calories with her meals, resulting in a total of 1650 + (5 * C) calories.

Since Andrea ate the same amount of calories both days, we can set up an equation:

1700 + (4 * C) = 1650 + (5 * C)

Simplifying the equation, we get:

50 = C

Therefore, each cookie has 50 calories.

It's worth noting that the solution assumes that the calorie content of the meals on both days is the same and only the calorie content from the cookies varies.

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Hello !!

kᵃ x kᵇ = kᵃ⁺ᵇ

kᵃ ÷ kᵇ = kᵃ⁻ᵇ

4¹⁰ x 4⁵ ÷ 4⁹

= 4¹⁰⁺⁵ ÷ 4⁹

= 4¹⁵ ÷ 4⁹

= 4¹⁵⁻⁹

= 4⁶

Answer:

192

Step-by-step explanation:

To estimate the value of 64.127 × 3.413, we can simply round each decimal downwards:

We round downwards because to in order to estimate the product of 2 numbers, we need to make the equation as simple as possible. One way we can do this is round each number either upwards, or downwards.

To find out if we round upwards or downwards, we use the rule 5 or more rounds up.

Now we can solve.

Therefore, the estimated value of 64.127 × 3.413 is 192.

The Diagonal distance between point A and point B is approximately 8.2 units.

1. To find the diagonal distance between point A (2Y, 1X) and point B (9Y, 9X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((9 - 2)^2 + (9 - 1)^2)

distance = √(49 + 64)

distance = √113

distance ≈ 10.6

Therefore, the diagonal distance between point A and point B is approximately 10.6 units.

2. To find the diagonal distance between point A (4Y, -1X) and point B (-15Y, 3X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((-15 - 4)^2 + (3 - (-1))^2)

distance = √(361 + 16)

distance = √377

distance ≈ 19.4

Therefore, the diagonal distance between point A and point B is approximately 19.4 units.

3. To find the diagonal distance between point A (7Y, 1X) and point B (5Y, 9X), we can use the distance formula:

distance = √((y2 - y1)^2 + (x2 - x1)^2)

distance = √((5 - 7)^2 + (9 - 1)^2)

distance = √4 + 64

distance = √68

distance ≈ 8.2

Therefore, the diagonal distance between point A and point B is approximately 8.2 units.

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Answer: 12.3 cm

Step-by-step explanation:

          We are given the perimeter and all but one of the missing side lengths. The perimeter is equal to all of the side lengths added together. Using this information, we can create an equation to solve for the missing length, ?.

? = 65.9 cm - (9.2 cm + 4.7 cm + 4.7 cm + 2.2 cm + 9.2 cm + 2.2 cm + 12 cm + 4.7 cm + 4.7 cm)

? = 65.9 cm - 53.6 cm

? = 12.3 cm