Thirty small communities in Connecticut (population near
10,000 each) gave an average of x = 139.5 reported cases of larceny
per year. Assume that is known to be 43.3 cases per year.
(a)
Find a 9

The rational function on the graph is the one in option B.

\(\frac{1}{(x - 1)*(x + 4)}\)

If we have the graph of a rational function and we can see vertical asympthotes at x = a, b, c,..

Then the rational function will be something like:

\(\frac{1}{(x - a)*(x - b)*...}\)

In this case we can see two of these, there is one at x = 1 and other at x = -4.

Then the rational function will be something like:

\(\frac{1}{(x - 1)*(x - (-4))}\\\\\frac{1}{(x - 1)*(x + 4)}\)

So the correct option is B (i think, the image has really low resolution).

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This equation is not true, and there is no value of x that can make it true. Therefore, none of the provided answer options (OA 5, B. -2, oc. – 1/2, colw win) is correct.

To solve the equation -121 – 2(3 + 9) = 5(1 + 4), we need to simplify both sides and find the value of x that makes the equation true.

Starting with the left side of the equation:

-121 – 2(3 + 9) = -121 – 2(12) = -121 - 24 = -145

Now, let's simplify the right side of the equation:

5(1 + 4) = 5(5) = 25

So the equation becomes:

-145 = 25

This equation is not true, and there is no value of x that can make it true. Therefore, none of the provided answer options (OA 5, B. -2, oc. – 1/2, colw win) is correct.

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Answer:

25 and 1/3

Step-by-step explanation:

The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,

x=$80×5

x=$400

Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,

\(\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250\)

Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

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D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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The solution is: the value of b = 14cm, which makes the area of trapezoid 138 cm^2.

Here,

The terms "trapezoid" and "quadrilateral" both refer to quadrilaterals that have at least one set of parallel sides.  Euclidean geometry dictates that a trapezoid must be a convex quadrilateral. The base of the trapezoid is referred to by its parallel sides.

Greek words trapeza, which means "table," and -oeides, which means "shaped," combine to form the term trapezoid. A trapezoid has a table-like form. A parallel pair of its sides are sometimes referred to as the figure's bases.

we know that,

Area = ½ × h × (b₁+b₂)

here, we have,

from the given diagram, we get,

h = 12, and, b₁ = 9

so, we have,

138 = ½ × 12 × (9+b₂)

so, solving we get,

b₂ = 23 - 9

    = 14

Hence, The solution is: the value of b = 14cm, which makes the area of trapezoid 138 cm^2.

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1. The most likely color for the taxi = green

2. The probability that the taxi is blue = 0.25

Let us assume that tg represents the taxi was green and tb represents the taxi was blue;

Also yg represents the taxi appeared green and yb  represents the taxi appeared blue.

9 out of 10 athenian taxis are green

So, P(tg) = 0.90

And, P(tb) = 1 - P(tg)

                = 1 - 0.90

                = 0.10

As under the dim lighting conditions, discrimination between blue and

green is 75% reliable,

P(yb | tb) = 0.75.

So, P(yg | tb) = 1 - P(yb | tb)

                     = 0.25

Similarly P(yg | tg) = 0.75

Thus, P(yb | tg) = 1 - P(yg | tg)

                         = 0.25

P(tb | yb) = P(tb, yb) / P(yb)

               = [P(yb | tb) P(tb)] / [P(yb, tg)P(tg) + P(yb | tb) P(xb)]

               = 0.25

Thus the probability that the taxi is blue = 0.25

P(tg | yb) = 1 - P(tb | yb)

              = 0.75

We can observe that P(tb | yb) > P(tb) but the posterior P(tb | yb) is smaller than 0.5, since the prior P(tb) is very small. Thus, the taxi was most likely green.

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The complete question is:

Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens.All taxi cars in Athens are blue or green. You swear under oath that the taxi was blue.Extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable.

1. is it possible to calculate the most likely color for the taxi? (*hint:* distinguish carefully between the proposition that the taxi *is* blue and the proposition that it *appears* blue.)

2. what is the probability of the taxi being blue, if you know that 9 out of 10 athenian taxis are green?

We know that the score is obtained by subtracting the number of incorrect answers from twice the number of correct answers. Let's use "x" to represent the number of correct answers.

According to the question, the player answered 40 questions in total. This means that the number of incorrect answers is 40 - x.
Now we can use the formula for the score:
Score = 2x - (40 - x)
We also know that the player obtained a score of 50. So we can set up the equation:
50 = 2x - (40 - x)
Simplifying the equation:
50 = 3x - 40
90 = 3x
x = 30
Therefore, the player answered 30 questions correctly.
To check, we can plug this value back into the formula for the score:
Score = 2x - (40 - x)
Score = 2(30) - (40 - 30)
Score = 60 - 10
Score = 50
So the score of 50 is correct and the player answered 30 questions correctly.

To find out how many questions the player answered correctly in the trivia game with a score of 50, we can use the given information to set up an equation:
Let x be the number of correct answers and y be the number of incorrect answers. According to the question, the score is calculated by subtracting the number of incorrect answers (y) from twice the number of correct answers (2x). The player answered 40 questions in total, so we have:
x + y = 40
2x - y = 50
Now we can solve this system of equations step-by-step:
1. Solve the first equation for x:
x = 40 - y
2. Substitute this expression for x in the second equation:
2(40 - y) - y = 50
3. Simplify the equation:
80 - 2y - y = 50
4. Combine like terms:
80 - 3y = 50
5. Subtract 80 from both sides:
-3y = -30
6. Divide both sides by -3:
y = 10
7. Substitute the value of y back into the expression for x:
x = 40 - 10
x = 30
The player answered 30 questions correctly in the trivia game with a score of 50.

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Answer:

The answer is C

Step-by-step explanation:

The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph C

Inequality is are expressions not separated by an equal sign

The correct graph must have a solid line and shaded below the graph. The correct inequality sign will be a greater than or equal

Given the inequality 3x + y ≤ 1

The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph C

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Step-by-step explanation:

What is the value?

Please put the full question

Then only I would be able to help you

10 is the answer

Step-by-step explanation:

Have a good day :)

A rectangular bedroom is 3 ft longer than it is wide. Then the width of the room will be 8 feet.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

A rectangular bedroom is 3 feet longer than it is wide. Its area is 88 square feet. The equations are given as,

L × W = 88         ...1

L = W + 3           ...2

From equations 1 and 2, then we have

W(W + 3) = 88

W² + 3W - 88 = 0

W² + 11W - 8W - 8 = 0

W(W + 11) - 8(W + 8) = 0

(W + 11)(W - 8) = 0

W = 8, -11

A rectangular bedroom is 3 ft longer than it is wide. Then the width of the room will be 8 feet.

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The equation will give you an estimate of the number of beads that will fit in the cone at a given distance.

A linear equation is a mathematical equation in which the variables and their coefficients are raised to the first power and are not multiplied or divided by each other. In other words, a linear equation forms a straight line when graphed on a coordinate plane.

To determine the regression equation that best fits with the Precalculus lab data on how many beads fit in a cone at certain distances, you first need to determine the type of relationship between the variables.

If the relationship is linear, you can use a simple linear regression model of the form:

y = mx + b

where y is the dependent variable (i.e., the number of beads that fit in the cone), x is the independent variable (i.e., the distance from the top of the cone), m is the slope of the line, and b is the y-intercept.

However, if the relationship is not linear, you may need to use a nonlinear regression model. One common nonlinear model for this type of data is the power law model:

y = a\(x^{b}\)

where a and b are parameters that need to be estimated from the data.

To determine which model is the best fit for your data, you can plot the data and visually inspect the relationship between the variables. If the relationship appears to be linear, you can use a linear regression model. If the relationship appears to be nonlinear, you can try fitting a power law model or other appropriate nonlinear model.

Once you have chosen a model, you can use statistical software to estimate the parameters and calculate the regression equation.

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Answer:

It moves 8 to the right

Step-by-step explanation:

This is in the y axis so it will move 8 on the x axis

(s - t)(-1) evaluates to 0.

To find the expressions for (s + t)(x) and (s * t)(x), we can simply add and multiply the given functions s(x) and t(x) accordingly.

(s + t)(x) = s(x) + t(x)

           = (2x - 4) + (6x)

           = 2x - 4 + 6x

           = 8x - 4

(s * t)(x) = s(x) * t(x)

           = (2x - 4) * (6x)

           = 12x^2 - 24x

To evaluate (s - t)(-1), we substitute x = -1 into the expression (s - t)(x) and simplify:

(s - t)(x) = s(x) - t(x)

           = (2x - 4) - (6x)

           = 2x - 4 - 6x

           = -4x - 4

Now, substitute x = -1:

(s - t)(-1) = -4(-1) - 4

           = 4 - 4

           = 0

Therefore, (s - t)(-1) evaluates to 0.

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Suppose that the functions s and t are defined for all real numbers x as follows. s(x) = 2x - 4 t(x) = 6x Write the expressions for (s + t)(x) and (s t)(x)and evaluate(s - t)(-1)

Answer:

It will be 4:9 as well.

Circumference = 2πr,

r1 : r2 = 4:9 so this means that 2πr1 : 2πr2 = 4:9, because 2π = constant

Step-by-step explanation:

Answer:

-0.71

Step-by-step explanation:

Write in exponent form.

   \(\sqrt[a]{7^b}=7^{\frac{b}{a}}\\\\\\ \sqrt[4]{7^9}=7^{\frac{9}{4}}\)

Use law of exponents to simplify the equation.

         \(\boxed{a^m * a^n = a^{m+n} \ and \ \dfrac{a^m}{a^n}=a^{m-n}}\)

\(\sf 7^{\frac{13}{4}}*\sqrt[a]{7^b} =7^{\frac{2}{7}}*\sqrt[4]{7^9}\\\\ 7^{\frac{13}{4}}*7^{\frac{b}{a}}=7^{\frac{2}{7}}*7^{\frac{9}{4}}}\\\\7^{\frac{b}{a}}}= \dfrac{ 7^{\frac{2}{7}}*7^{\frac{9}{4}} }{7^{\frac{13}{4}}}\)

     \(=7^{\frac{2}{7}+\frac{9}{4}-\frac{13}{4}}\\\\=7^{\frac{-5}{7}}\\\\=7^{-0.71}\)

Answer:

number 3

Step-by-step explanation:

as if you subract the two values that should be the answer.

Let's call X the cost of one bunch of roses and Y the cost of one palm.

Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:

13X + 4Y = 487

Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:

6X + 2Y = 232

Then, solving for Y on the first equation, we get:

Replacing on the second and solving for X, we get:

Then, we can replace the value of X and calculated the value of Y as:

Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47

Answer:

Hope this helps!

Answer:

Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)

Now, we know

Perimeter(p)=2(length+width)

40= 2(x+5+x)

40=2(2x+ 5)

40/2=2x+5

20=2x+5

20–5=2x

15/2=x

x=7.5

Now,

length=x+5=7.5+5=12.5cm

width=x=7.5cm

Therefore length is 12.5cm and width is 7.5cm.

Answer: 691.25

Step-by-step explanation: average = sum/count

                                                            = 2765/4

                                                            =691.25

Answer:

The answer is going to be C.

This can be done using statistical tests such as the t-test or ANOVA, which can determine if there is a statistically significant difference between men and women.

Analysis of variance, or ANOVA, is the term. A statistical test is used to assess if the means of two or more groups differ significantly from one another. It is a method used to compare the means of several groups to see if they are comparable or whether there is a notable different purchase between them. ANOVA is frequently used to compare the means of several data sets, such as the means of various test scores or the means of various populations. The ANOVA test is a potent instrument that enables researchers to establish whether there is a significant difference between the means of various groups and to pinpoint which groups differ from one another.

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Answer:

i) a = 2, b = - 3, c =-6

Step-by-step explanation:

4x² - 12x + 3

4x² - 6x - 6x + 9 - 6

(2x - 3)(2x - 3) - 6

(2x - 3)² - 6

(2x + (- 3) )² - 6

In form of (ax + b)² - 6

a = 2, b = - 3, c =-6

Yes, a normal distribution can be used to approximate the distribution of the random variable X, which counts the number of adults who have not visited a dentist in the last two years. This approximation can be done using the Central Limit Theorem (CLT), which states that if you have a large enough sample size, the distribution of the sample means will approach a normal distribution, regardless of the original distribution's shape.

To use a normal distribution for this approximation, you need to meet the following criteria:

1. The sample size (n) should be large enough, typically n > 30.
2. The random variable X should have a known mean (μ) and standard deviation (σ).

If these criteria are met, you can use the normal distribution to approximate the distribution of X by calculating the standard error (SE), which is equal to σ / √n. This will help you estimate probabilities and analyze the data for the number of adults who have not visited a dentist in the last two years.

In summary, using a normal distribution to approximate the distribution of the random variable X is possible through the Central Limit Theorem, as long as the sample size is large enough and the mean and standard deviation are known.

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The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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