Solve for x: 2/7 (x-2) =4c

Answer:

Salary of state A's governor = $170,465

Salary of state B's governor = $118,145

Step-by-step explanation:

We will need a system of equations to find the salaries of each governor.

Let A represent the salary of state A's governor and B represent the salary of state B's governor.

Step 1:  Write an equation showing that state A's governor's salary is $52320 higher than state B's governor:

Since the governor of state A earns $52320 more than the governor of state B, we can model this with the equation:

A  = B + 52320

Step 2:  Write an equations showing that the sum of the two governor's salaries is $288610:

The equation modeling the sum of the governor's salaries is given by:

A + B = 288610

Step 3:  Plug in A = B + 52320 for A in A + B = 288610 to solve for B:

Now, we can plug in A = B + 52320 for A in A + B = 288610 to solve for B:

B + 52320 + B = 288610

Combining like terms gives us:

2B + 52320 = 288610

Subtracting 52320 from both sides gives us:

2B = 236290

Dividing both sides by 2 gives us:

B = 118145

Step 4:  Find A, the salary of state A's governor:

We can plug in 118145 for B in A + B = 288610 to find A, the salary of state A's governor:

A + 118145 = 288610

Subtracting 118145 from both sides gives us:

A = 170465

Thus, the salary of state A's governor is $170,465 and the salary of state B's governor is $118,145.

Answer:

.....................

The distance between points S(6,−3) and T(7,−2) is √2 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

It is given that:

The distance between points S(6,−3) and T(7,−2).

The two points are S(6,−3) and T(7,−2).

\(\rm ST =\sqrt{(7-6)^2+(-2-(-3))^2}\)

ST = √[(1) + (1)]

ST = √2 units

Thus, the distance between points S(6,−3) and T(7,−2) is √2 units after using the distance formula.

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Answer:

7.8*10^3

Step-by-step explanation:

7.800

The rectangle model with three sections labeled three-fourths and one section labeled three-eighths represents how many days' worth of seed Jay has left.

Based on the given information, Jay has a fraction of 3/4 pound of bird seed, and he needs a fraction of 3/8 pound to feed the birds daily. We need to determine the rectangle model that shows how many days' worth of seed Jay has left.

The correct rectangle model is:

Rectangle model divided into four equal sections, three sections are labeled three-fourths and one section is labeled three-eighths, equaling three days.

This is because Jay initially has 3/4 pound of seed, and each day he needs 3/8 pound. By dividing the rectangle into four equal sections, where three sections are labeled three-fourths (3/4) and one section is labeled three-eighths (3/8), it represents that Jay has enough seed to feed the birds for three days.

Therefore, how many days of seed Jay has left is shown by a rectangle with three portions labelled "three-fourths" and one section labelled "three-eighths."

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Answer:

chips costs 8.25

Step-by-step explanation:

16.50 divided by 2 is 8.25

Normal CurveThe normal curve is a bell-shaped curve that is symmetrical, and the curve's mean, median, and mode all are equal and located at the center. It is also called the Gaussian curve after the mathematician Carl Friedrich Gauss. Normal distribution is a common statistical analysis technique used to model various phenomena in probability theory, physics, finance, and social science. It can be characterized by its mean and standard deviation.MeanMean is the arithmetic average of the numbers in a dataset. To find the mean, sum all the numbers in the dataset and then divide by the total number of values in the dataset. For the given problem, the mean is 500.Standard DeviationThe standard deviation is a measure of the spread of data from its mean. It measures how far the data values are from their mean. For the given problem, the standard deviation is 100.(b)Convert SAT-Math score of a student with 590 to z-score.z-score = (score - mean) / standard deviationz-score = (590 - 500) / 100 = 0.9(C)What percentage of students would have a SAT-Math score greater than 590?The formula for calculating the percentage of students with a SAT-Math score greater than 590 is:P(Z > 0.9) = 1 - P(Z ≤ 0.9)From the normal distribution table, the area to the left of 0.9 is 0.8159, and the area to the right of 0.9 is 1 - 0.8159 = 0.1841. Therefore, the percentage of students with a SAT-Math score greater than 590 is 18.41%.(d)What percent of students would be expected to have a SAT-Math score between 450 and 550?We can calculate the z-scores for each of the scores using the formula,z-score = (score - mean) / standard deviationz-score for 450 = (450 - 500) / 100 = -0.5z-score for 550 = (550 - 500) / 100 = 0.5From the normal distribution table, the area to the left of -0.5 is 0.3085, and the area to the left of 0.5 is 0.6915. The area between these two values is 0.6915 - 0.3085 = 0.3830, which is 38.3%.(e)What is the probability of having a SAT-Math score less than 540?The formula for calculating the probability of having a SAT-Math score less than 540 is:P(Z < (540 - 500) / 100)From the normal distribution table, the area to the left of 0.4 is 0.6554. Therefore, the probability of having a SAT-Math score less than 540 is 0.6554 or 65.54%.

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1. Characteristics of normal curve: The normal curve is a type of probability distribution.

Some of the characteristics of the normal curve are:

It is a bell-shaped curve, symmetrical and unimodal with a single peak in the center of the curve.It is characterized by a mean, median, and mode that are all equal.It is asymptotic, meaning that the tails of the curve extend to infinity without ever touching the x-axis.

2. Conversion of SAT score to z-score:

Formula to find z-score is: z = (x - μ) / σ

where z = z-score, x = raw score, μ = mean and σ = standard deviation

So, for a student with a math SAT-Math score of 590, the z-score would be:

z = (590 - 500) / 100z = 0.9

Therefore, the z-score for a student with a math SAT-Math score of 590 is 0.9.3.

Percentage of students with SAT-Math score greater than 590:

To find the percentage of students who would have a SAT-Math score greater than 590, we need to find the area under the normal curve to the right of the z-score corresponding to 590.

Using a standard normal table, we find that the area to the right of a z-score of 0.9 is 0.1841 or 18.41%.

Therefore, approximately 18.41% of students would have a SAT-Math score greater than 590.

4. Percentage of students with SAT-Math score between 450 and 550:

To find the percentage of students who would be expected to have a SAT-Math score between 450 and 550, we need to find the area under the normal curve between the z-scores corresponding to 450 and 550.

Using a standard normal table, we find that the area to the left of a z-score of -0.5 is 0.3085, and the area to the left of a z-score of 0.5 is 0.6915.

Therefore, the area between -0.5 and 0.5 is:

0.6915 - 0.3085 = 0.3830 or 38.30%

Therefore, approximately 38.30% of students would be expected to have a SAT-Math score between 450 and 550.5.

Probability of having a SAT-Math score less than 540:

To find the probability of having a SAT-Math score less than 540, we need to find the area under the normal curve to the left of the z-score corresponding to 540.

Using a standard normal table, we find that the area to the left of a z-score of 0.4 is 0.6554.Therefore, the probability of having a SAT-Math score less than 540 is approximately 65.54%.

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Answer:

  46 inches

Step-by-step explanation:

You want the perimeter of ABCD, where AB and BC are tangent to circle D, and AB = 15 inches, BD = 17 inches.

The attachment shows the figure. Radii DA and DC are perpendicular to the tangens, so each triangle is a right triangle. The hypotenuse BD is given as 17 inches, and the leg AB is given as 15 inches. The other leg is found from the Pythagorean theorem (or from your knowledge of Pythagorean triples). It is ...

  AD = √(DB² -AB²)

  AD = √(17² -15²) = √(289 -225) = √64

  AD = 8

The perimeter is the sum of side lengths. The kite shape is symmetrical, so the perimeter is ...

  P = 2(AD +AB) = 2(8 +15) = 46 . . . . inches

The perimeter of ABCD is 46 inches.

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Answer:

C. x=-48

Step-by-step explanation:

x/4=-12

multiply both sides by 4

4x/4=4 (-12)

simplify

x=-48

The probability of drawing one paisley tie is 0.43

Three paisley ties and four solid ties are in a dresser. Therefore, the probability if drawing out one paisley tie without looking can be calculated as follows:

The total number of ties is the sum of the paisley ties and solid ties, which is 3 + 4 = 7.

Therefore, the probability of drawing out 1 paisley tie without looking is as follows:

probability of drawing out 1 paisley tie without looking = 3 / 7

probability of drawing out 1 paisley tie without looking = 0.42857142857

Hence , the probability of drawing out one paisley tie without looking is 0.43

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Answer:

THE ANSWER

Step-by-step explanation:

❤️Am I right?❤️

The total number of ways to assign the pages to the printers is 6^5 = 7776.

(a)There are five printers. Each of the 125 pages can be assigned to one of these five printers. Thus, there are 5 choices of printers for the first page, followed by 5 choices for the second page, and so on, until there are 5 choices for the last page. By the multiplication principle, the total number of ways to assign the pages to the printers is 5 × 5 × ... × 5 = 5^125.

(b) The first and last pages must be printed in color, so two of the five printers must be chosen to do the color printing. There are 5 choices of printers for the first page and 5 choices for the last page, but once the two printers for the color pages are chosen, there are only 3 printers left to assign the remaining 123 black-and-white pages to.

Thus, by the multiplication principle, the total number of ways to assign the pages to the printers is 5 × 3^123.(c) Each printer can be assigned either 0, 25, 50, 75, 100, or 125 pages. Since there are five groups of 25 pages, the number of pages assigned to each printer must be a multiple of 25.

Thus, there are six choices for how many pages each printer will be assigned (0, 25, 50, 75, 100, or 125), and once those choices are made, there is only one way to assign each group of 25 pages to the corresponding printer. Thus, the total number of ways to assign the pages to the printers is the product of the number of ways to choose the number of pages assigned to each printer (6 choices for each of the 5 printers) and the number of ways to assign each group of 25 pages to the corresponding printer (1 way for each of the 5 groups).

Therefore, the total number of ways to assign the pages to the printers is 6^5 = 7776.

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A function's behaviour as x approaches positive or negative infinity might reveal vertical, horizontal, and oblique asymptotes. As x approaches a value, vertical asymptotes occur. As x approaches infinity, horizontal asymptotes occur. As x approaches infinity, oblique asymptotes occur.

To identify vertical asymptotes, we examine the behavior of the function as x approaches a particular value. For example, let's consider the function f(x) = 1 / (x - 2). As x approaches 2, the denominator becomes very close to zero, causing the function to approach infinity or negative infinity. Hence, x = 2 is a vertical asymptote.

Horizontal asymptotes are determined by analyzing the behavior of the function as x approaches positive or negative infinity. For instance, let's take the function f(x) = (3x^2 + 2x - 1) / (2x^2 + x + 1). As x approaches infinity or negative infinity, the highest power terms dominate the function. In this case, both the numerator and denominator have the same highest power term (x^2), so the ratio of the coefficients determines the horizontal asymptote. Therefore, the horizontal asymptote for this function is y = 3/2.

Oblique asymptotes occur when the function approaches a non-horizontal line as x approaches positive or negative infinity. Consider the function f(x) = (3x^2 + 2x + 1) / (x + 1). By performing polynomial long division or synthetic division, we can see that the quotient is 3x + 1. As x approaches infinity or negative infinity, the function approaches the line y = 3x + 1. Hence, y = 3x + 1 is an oblique asymptote for this function.

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A negative correlation will be expected between smoke detector use and deaths from home fires.

A positive correlation happens when variables that are related(not zero correlation)increase together. In other words, variable an (independent variable) increases and makes variable b(dependent variable) increase too.

There will be a negative correlation if the opposite happens; that is, when related variables go in opposite directions, then one of them will increase while the other decreases.

We observe from what we are told that a negative correlation occurs here since the death rate from fires has likely(assumed) decreased as smoke detectors have increased.

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--The given question is incorrect; the correct question is

"Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 95% (National Fire Protection Association website, January 2015). With this increase in the use of home smoke detectors, what has happened to the death rate from home fires? The DATAfile SmokeDetectors contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of the population.

Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Why or why not?"--

Answer:

$79.82 (to 2 d.p.)

Step-by-step explanation:

100%=$74.95

1%=$74.95÷100

=$0.7495

100%+6.5%=106.5%

106.5%=$0.7495×106.5

=$79.82 (to 2 d.p.)

Answer:

300

Step-by-step explanation:

Answer:

300.\

20% = 50

250  50=300

250 and  20% = 300

Step-by-step explanation:

brainliest?

hope this helps! <3

Answer:

Step-by-step explanation:

65,115,115

The estimated probability that the sum of five dice will be 26 is 0.0053

Estimated Probability: Estimated probability is an approximation, or estimate, of theoretical probability. The larger the number of trials, the more accurate we expect this approximation to be. If E consists of a single outcome s, we refer to P(E) as the probability of the outcome s, and write P(s) for P(E)

N = Number of Repeated Process = 10,000

n = Number of times the sum of the five tosses equaled 26 = 53

The estimated probability that the sum of the five dice will be 26 = n/N

Where n = 53

And N = 10,000

Using the above formula, we have the following:-

n/N becomes

n/N = 53/10,000

n/N = 0.0053

Hence, the estimated probability that the sum of five dice will be 26 is 0.0053

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Answer:

First, let's address the general case.

When we have two points (a,b) and (c,d)

The distance between those points can be written as:

D = √( (a - c)^2 + (b - d)^2)

In this case, the points are:

(-2,4) and (2,4)

Then the distance is:

D = √( (-2 - 2)^2 + (4 - 4)^2) = √(-4)^2 = 4.

The equivalent expression to this is: |-2| + |2|

because:

I-2I = 2

I2I = 2

I-2I + I2I = 2 + 2 = 4.

Answer:

D = √( (a - c)^2 + (b - d)^2)

In this case, the points are:

(-2,4) and (2,4)

Then the distance is:

D = √( (-2 - 2)^2 + (4 - 4)^2) = √(-4)^2 = 4.

The equivalent expression to this is: |-2| + |2|

because:

I-2I = 2

I2I = 2

I-2I + I2I = 2 + 2 = 4.

Step-by-step explanation:

Therefore, the condition that ensures that f(c) = 0 for some value c in the open interval (1, 5) is that f(x) is continuous on the closed interval [1, 5].

Explanation: The Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b], and takes on values f(a) and f(b) at the endpoints, then it must take on every value between f(a) and f(b) somewhere in the interval (a, b).
In this case, we know that f(1) = -2 and f(5) = 7, so by the Intermediate Value Theorem, f(c) must equal 0 at some point in the interval (1, 5) if and only if f(x) is continuous on the interval [1, 5].

Therefore, the condition that ensures that f(c) = 0 for some value c in the open interval (1, 5) is that f(x) is continuous on the closed interval [1, 5].

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slope (m) = 1/2

y-intercept (b) = -3

You use the y-intercept first to find the first point of (0, -3). From there you can use the slope to find the other points.

Answer:

I hope it will help you.....

Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

From the information provided, we know that the first subscriber came after two weeks. This means as at the 20th week, your blog would have been growing for 18 weeks. Also take note that the first term in this sequence is 1, and the common ratio is 3. We know this because the number of subscribers triples each week after the first subscriber.

Therefore, for the geometric sequence, we have the following;

The nth term of a geometric progression is given as;

For the 18th term, which is the number of subscribers after the 20th week, we would have;

ANSWER:

This means 20 weeks after the blog was created, you now have

129,140,163 subscribers

Answer:

270

Step-by-step explanation:

18.9 / 0.07 and get 270

The Solution:

Given:

Required:

The number of individuals in Chicago that will respond positively to Program 2 is 22 out of 25.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Given that the chances of a positive response from Chicago residents to two government programs are 65.9% for Program 1 and 87.5%  for Program 2, the likelihood of a positive response for Program 2 given that the person is from Los Angeles must be calculated as follows:

87.5 100 = X

43.75 / 50 = X

21.875 / 25 = X

Therefore, 22 out of 25 individuals in Chicago  will respond positively to Program 2.

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