Solve for x. Show all work. Then, plug in the x value you got to check your work
3(x+2)-4=4(x-3)

The intersection change has significantly increased the number of traffic accidents. If not, you would fail to reject the null hypothesis and not have enough evidence to claim a significant increase in accidents due to the intersection change.

A) The Null Hypothesis (H0) is that the intersection change has not significantly increased the number of traffic accidents.

B) Without specific data, I cannot calculate the exact Test Statistic value. You'll need to perform a hypothesis test using the appropriate formula for your data set.

C) The Critical Value also depends on your data and the level of significance (alpha) you choose, typically 0.05 or 0.01. Use a statistical table or software to find the critical value based on your chosen level of significance and the degrees of freedom.

D) Similar to B and C, the p-value cannot be calculated without specific data. Compare the calculated p-value to the chosen level of significance (alpha) to determine whether to reject or fail to reject the null hypothesis.

E) Based on the Test Statistic, Critical Value, and p-value, you can draw conclusions about the null hypothesis. If the Test Statistic is greater than the Critical Value or the p-value is less than the chosen level of significance (alpha), you would reject the null hypothesis.

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The area of the rectangle is 56 square yards.

What is the area of rectangle?

The area of a rectangle is the amount of space or surface inside the shape, measured in square units. It is calculated by multiplying the length of the rectangle by its width.

The formula for the area of a rectangle is:

Area = length x width

In this case, the width is 7 yards and the length is 8 yards. Therefore, the area of the rectangle is:

Area = 7 yards x 8 yards = 56 square yards

So the area of the rectangle is 56 square yards.

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Answer:

UM hello how are you im njot really gonna answer anywaysss byee

The correct inequality to describe the problem is A. 10 + x > 15, which means that the total time Farid spends on the level (10 + x) must be greater than 15 minutes in order for him to lose a life.

To solve the inequality, we can start by isolating x on one side of the inequality:

10 + x > 15

Subtracting 10 from both sides, we get:

x > 5

This means that Farid can play for up to 5 more minutes on the level without losing a life, since spending a total of 10 + 5 = 15 minutes on the level would cause him to lose a life.

Therefore, the solution to the inequality is "Farid can play less than 5 more minutes on that level without losing a life."

Overall, the correct option is A. 10 + x > 15.

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The total height of the flagpole on the basis on the information given that Jose is standing at a distance of 40 ft from flagpole, angle of elevation is 35° from his eyes which are at height of Jose is 5 ft is 33 ft with the help of trigonometric-ratios.

What are trigonometric-ratios?

Greek is the language of measurement, and the word "metric" is Greek for triangle. The trigonometric ratios are particular measures of a right triangle, which is a triangle having a 90° angle.  The legs are the two sides of a right triangle that are linked at the right angle, while the hypotenuse is the third longest side.Trigonometric ratios are the ratios of the sides of a right triangle. The sine, cosine, tangent, secant, cosecant, and cot are six trigonometric ratios.

Consider the ΔECD,

AB=EC=40 ft

∠E=35°

EA=BC=5ft

tan A =\(\frac{side opposite to the angle}{side adjacent to the angle\\}\)

tan 35=\(\frac{CD}{EC}\)

0.7002=\(\frac{CD}{40}\)

CD= 0.7002 x 40

CD=28.008

CD≈28 ft

Total height of flagpost=BD

BD=BC+CD

BD=EA+CD

BD=5+28

height of falgpole=33 ft

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0.625 is a rational number. A rational-number is the number that can be expressed as ratio of two integers with a denominator (not zero).

What is rational and irrational number?

A rational number is a number which can be expressed as the product of two integers with non-zero denominators.In other words, it is a number that can be written in the form of p/q,

where:

p and q -> integers

and q -> not equal to 0.

An irrational number, is just opposite, it cannot be expressed as the ratio of 2 integers.It is a number that cannot be written as a simple fraction, and its decimal expansion continues indefinitely. The most famous examples of irrational numbers are π and √2.

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Anti-log and log a + log b = log ab is used. Then the true solutions of the logarithmic equation are 4 and -3.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic equation is given below;

log (x) + log (x + 5) = log (6x + 12)

We know that log a + log b = log ab, then we have

log (x) + log (x + 5) = log (6x + 12)

          log (x)(x + 5) = log (6x + 12)

          log (x² + 5x) = log (6x + 12)

Take anti-log, then we have

   x² + 5x = 6x + 12

x² - x - 12 = 0

On factorizing, we have

           x² - x - 12 = 0

  x² - 4x +3x - 12 = 0

x (x - 4) + 3(x - 4) = 0

       (x - 4)(x + 3) = 0

                        x = 4, -3

Thus, the true solutions of the logarithmic equation are 4 and -3.

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Answer: true solutions of the logarithmic equation are 4 and -3.

Step-by-step explanation:

I took the edu pre-test  -22

The researcher could use statistical analysis to compare the proportion of accidents that occur among older employees (e.g., those over 50 years old).

The proportion that occurs among younger employees (e.g., those under 30 years old).

If the proportions are similar, then the data would suggest that older and younger employees are equally prone to having accidents.

To determine whether older and younger employees are equally prone to having accidents.

The researcher at the light manufacturing plant would need to analyze the data collected on accident types and age of the employees involved in the accidents.

If the proportions are different, then the data would suggest that one age group is more prone to accidents than the other.

It is important to note that other factors, such as job type, experience level, and physical condition, could also influence the likelihood of accidents. Therefore, the researcher should also consider these factors when analyzing the data.

to ascertain if employees of different ages are similarly prone to accidents.

The light manufacturing plant researcher would have to examine the information gathered on accident kinds and the ages of the personnel involved in the incidents.

The data would indicate that one age group is more prone to accidents than the other if the proportions were different.

It is significant to remember that additional elements, such as work kind, amount of expertise, and physical condition, may also affect the chance of mishaps.

As a result, when the researcher analyses the data, they should also take these things into account.

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By collecting data, calculating and comparing percentages, and analyzing accident types, we can investigate whether older and younger employees are equally prone to having accidents at the manufacturing plant for random sample.

We will look at the data from the researcher's investigation at the light manufacturing plant. They classified a random sample of accidents by type and age of the employee.

Step 1: Collect data on the total number of accidents involving older and younger employees, as well as the types of accidents they were involved in.

Step 2: Calculate the percentage of accidents involving older employees and the percentage involving younger employees.

Step 3: Compare the percentages and determine if there is a significant difference between the accident rates for older and younger employees.

Step 4: Analyze the types of accidents each group is involved in to see if there are any patterns or trends that may suggest a higher risk for either age group.

By following these steps, we can investigate whether older and younger employees are equally prone to having accidents at the manufacturing plant.

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Answer: Different sample proportions, ^p, could result for each intern, but for either sample size, they would be centered (have their mean) at the true population proportion, p.

Step-by-step explanation:

Answer:

39 points.

Step-by-step explanation:

Correct questions: 22*2=44

Blank questions: 7*0=0

Incorrect questions: -1*5=-5

Add all the points up and you get:

44+0-5=

44-5=

39 points

Answer:

22.222222%

Step-by-step explanation:

all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer

Answer: 22.23% (Infinitely Long)

Step-by-step explanation:

9 = 100%

9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]

There ya go. :)

Answer:

6x^2-7x-20 (c)

Step-by-step explanation:

(3x+4)(2x−5)

=(3x+4)(2x+−5)

=(3x)(2x)+(3x)(−5)+(4)(2x)+(4)(−5)

=6x^2−15x+8x−20

=6x^2-7x-20

Answer:

C

Step-by-step explanation:

Given

(3x + 4)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x - 5) + 4(2x - 5) ← distribute both parenthesis

= 6x² - 15x + 8x - 20 ← collect like terms

= 6x² - 7x - 20 → C

The minimum cost of fencing the rectangular field with an area of 900 square meters is approximately $2,375.15.

Let's solve for one variable in terms of the other using the area equation:

l x w = 900

l = 900/w (by dividing both sides by w)

Now we can substitute this expression for "l" into the perimeter equation:

P = 2l + 2w

P = 2(900/w) + 2w

P = (1800/w) + 2w

To minimize P, we can take the derivative with respect to w and set it equal to zero:

dP/dw = -1800/w² + 2 = 0

Solving for w, we get:

w = √(1800/2) = 30√(2)

We can now use this value of w to find the corresponding value of l from the area equation:

l = 900/w = 900/(30√(2)) = 30√(2)

Therefore, the dimensions of the rectangular field that require the least amount of fencing while still having an area of 900 square meters are l = 30√(2) meters and w = 30√(2) meters.

The total length of fencing required is:

P = 2l + 2w

P = 2(30√(2)) + 2(30√(2))

P = 120√(2)

The minimum cost of the fence can be found by multiplying the total length of fencing by the cost per meter of fencing:

Cost = 14 x P = 14 x 120√(2) = 1680√(2) dollars = $2,375.15.

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Answer:

0.501, 0.5001, and 0.05

Step-by-step explanation:

0.501 is the greatest number since it is the closest to 1. 0.5001 is second since it has the 1 at the ten-thousandths. Finally is 0.05 because, again, it has no numbers close to 1 so it is the least.

Answer:

31 + 21 = 52

Step-by-step explanation:

Calculation for the correct sum

First step is to factor 651 which means that 1 * 3 * 7 * 31 will give us 651

Second step is to find 3 possibilities numbers that will give us 10 as the difference

3 possibilities numbers =(31, 21), (93, 7), (217, 3)

Third step is to make use of equation 1 to find the numbers that has 10 as the difference among the 3 possibilities numbers

The number that has 10 as the difference is (31, 21) because 31-21 will gives us 10

Now Equation 1 = X – Y = 10

Where,

X=31

Y=21

Hence,

31 – 21 = 10

Since 31 – 21 gave us 10 as the difference which means that the correct sum will be:

Correct sum =31 + 21 = 52

Therefore the Correct sum is 31 + 21 = 52

Answer:

185

Step-by-step explanation:

Answer:

185

Factor:

5×37

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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So, the system of equations solution is (x, y) = (-27/8, 31/4), and the value of y in this solution is 31/4, which is roughly 7.75. As a result, the answer is y = 31/4.

An equation is a statement in mathematics that states the equality of two expressions. An equation has two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine which variable(s) must be changed in order for the equation to be true. Simple or complex equations, regular or nonlinear equations, and equations with one or more elements are all possible. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are employed in a variety of mathematical disciplines, including algebra, calculus, and geometry.

the system of equations,

\(y = 1 - 2x\\2x - 3(1 - 2x) = -30\\2x - 3 + 6x = -30\\8x = -27\\x = -27/8\\2(-27/8) + y = 1\\-27/4 + y = 1\\y = 1 + 27/4\\y = 31/4\)

So, the system of equations solution is (x, y) = (-27/8, 31/4), and the value of y in this solution is 31/4, which is roughly 7.75.

As a result, the answer is y = 31/4.

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The periodic signal x(t) can be found by using the complex exponential Fourier series coefficients D0, D1, D-1, D2, and D-2 = -1 + ejπt + e-jπt + (-0.5j)ej2πt + (0.5j)e-j2πt

The Fourier series of a periodic signal is given by:
x(t) = ∑n=-∞∞ Dnejnω0t
Where Dn are the Fourier series coefficients, ω0 is the fundamental frequency, and j is the imaginary unit.

Given that the fundamental period T0 = 2, the fundamental frequency can be found as:
ω0 = 2π/T0 = 2π/2 = π

Substitute the given Fourier series coefficients and the fundamental frequency into the Fourier series equation to find the periodic signal x(t):

x(t) = D0ej0ω0t + D1ej1ω0t + D-1ej(-1)ω0t + D2ej2ω0t + D-2ej(-2)ω0t
x(t) = -1ej0πt + 1ejπt + 1ej(-π)t + (-0.5j)ej2πt + (0.5j)ej(-2)πt
x(t) = -1 + ejπt + e-jπt + (-0.5j)ej2πt + (0.5j)e-j2πt

Therefore, the periodic signal x(t) is:
x(t) = -1 + ejπt + e-jπt + (-0.5j)ej2πt + (0.5j)e-j2πt

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Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Amount to earn = $280

Grocery store:

Earnings per hour = $8

1 hour = $8

Multiply 280/8 on both sides.

280/8 x 1 hour = $280

35 hours = $280

Library:

Earnings per hour = $10

1 hour = $10

Multiply 280/10 on both sides.

28 hours = $280

We see that,

Working in the Library would make $280 in fewer hours than working in the grocery store.

Thus,

The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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The characteristic that does not apply to a theoretical normal distribution is C) It is bimodal.

The main answer is C. An explanation for this is that a normal distribution has a single peak at the mean, and as we move away from the mean in either direction, the frequency of occurrence decreases.

Therefore, a normal distribution can never have two distinct peaks, making it impossible for it to be bimodal. All other options are characteristics of a normal distribution. In conclusion, a theoretical normal distribution is never negative, bell-shaped, and has equal mean, median, and mode, but it is not bimodal.

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Answer:

\(Rate = \$0.23\)   and    \(Rate = \$0.094\)

Step-by-step explanation:

Given

Sew-on logos

Cost = $2.30

Units = 10

Stick-on logos

Cost = $9.40

Units = 100

Required

Divide cost by units, in both cases

When we divide cost by units, it gives the unit rate.

i.e.

\(Rate = \frac{Cost}{Units}\)

FOR SEW-ON LOGOS

Substitute $2.30 for Cost and 10 for Units

\(Rate = \frac{\$2.30}{10}\)

\(Rate = \$0.23\)

FOR STICK-ON LOGOS

Substitute $9.40 for Cost and 100 for Units

\(Rate = \frac{\$9.40}{100}\)

\(Rate = \$0.094\)

Hence, the solution is

\(Rate = \$0.23\)   and    \(Rate = \$0.094\)

Answer:

fifty seven

Step-by-step explanation:

Answer:

\(\frac{ - 2x + 5x}{3x - 2y}\)

Step-by-step explanation:

\( \frac{ \frac{ - 2}{x} + \frac{5}{y} }{ \frac{3}{y} - \frac{2}{x} } = \frac{ \frac{ - 2y + 5x}{xy} }{ \frac{3x - 2y}{xy} } \\ = \frac{ - 2y + 5x}{xy} \times \frac{xy}{3x - 2y} \\ = \frac{ - 2x + 5x}{3x - 2y} \)

Answer:

True

Step-by-step explanation:

This is true if you look at the hundredths value. 7 is greater than 5, therefore 19.67 is greater than 19.657. To simplify it, you can look at it as 19.67 > 19.65 (say we omit the 7).

Answer:

um the answer is 0=0 (no cap)

Step-by-step explanation:

hope this helps!

please mark me as brainliest. Thanks!

Answer:

Step-by-step explanation:

Distributive property: a(b +c) =(a*b) + (a*c)

-6(x - 1/2) = 3x + 3 - 9x

\(x*(-6) - \frac{1}{2}*(-6) = 3x - 9x + 3\\\\\)

\(-6x + 3 = -6x + 3\\\)

So, there are infinity solutions

The area of the right triangle that is given would be = 60.

To calculate the area of the given triangle, the base of the triangle should first be calculated using the Pythagorean theorem.

That is ;

C² = a²+b²

c = 17

a = 8

b = ?

make b the subject of formula;

b² = c²-a²

= 17²-8²

= 289-64

= 225

b = √225 = 15

The area = ½ base ×height

= 1/2× 15 × 8

= 60

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