a rectangular deck is 7 meters wide and 12 meters long. what is the area of the deck?

Answer:

P(for) = 5/8

P(against) = 3/10

P(undecided)= 3/40

Step-by-step explanation: Again, find the total number of people Devi surveyed.

40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.

Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.

Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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The quadratic function graphed is defined as follows:

y = x² - 10x + 9.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = 1 and x = 9.

Hence the function as a product of it's linear factors is defined as follows:

y = a(x - 1)(x - 9)

y = a(x² - 10x + 9).

When x = 5, y = -16, hence the leading coefficient a is obtained as follows:

-16 = a(5² - 10(5) + 9)

-16a = -16

a = 1.

Thus the function is:

y = x² - 10x + 9.

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Answer:

Shore

Step-by-step explanation:

Thanks <3

Answer:11

Step-by-step explanation:Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-5)-(18)=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 3 • (x - 5) -  18  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3x - 33  =   3 • (x - 11)  

Equation at the end of step

3

:

 3 • (x - 11)  = 0  

STEP

4

:

Equations which are never true:

4.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

One solution was found :

x = 11

The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.

Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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We need to complete the volume, V, of time 2, 3, and 4.

After 1 min, 1/2 gallon lost.

After 2 min, 1/2 * 2 = 1 gallon lost

After 3 min, 1/2 * 3 = 3/2 = 1 1/2 gallon lost

After 4 min, 1/2 * 4 = 2 gallon lost

Remaining volume [V row of the table]:

at 2 minutes = 30 - 1 = 29 gallons

at 3 minutes = 30 - 1 1/2 = 28 1/2 gallons

at 4 minutes = 30 - 2 = 28 gallons

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

If the study shows a positive correlation means that as people bike to work increase also the percentage of people spending their vacation time at home increases

since work happens before vacation one of the statemens that is most likely to be true will be B.

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Answer:

45

Step-by-step explanation:

Anya's current age is 30 years and Cole current age is 27 years

Let x represent Anya current age and y represent Cole current age.

Anya is three years older than her brother, Cole. Hence:

x = y + 3

x - y = 3   (1)

In 11 years, the sum of their ages will be 79. Hence:

(x + 11) + (y + 11) = 79

x + y = 57    (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 27

Anya's current age is 30 years and Cole current age is 27 years

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Given the following quadratic equation:

The given equation is already in standard form a^2y + by + c = 0. Thus, we can say that a, b and c values are the constants of each term.

Therefore,

a = -2

b = 1

c = 0

To be able to determine the solution, we will be using the following formula:

Plugging in the values of a, b and c, we get:

Therefore, the solutions of the given quadratic equation are y = 0 and y = 1/2 or 0.5. It has two different solutions.

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer: 2472

Step-by-step explanation: It is just 2744 minus 272

Answer:

2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper

Answer:

2 3

2 3

-2 - 1.5 0

4 5

Step-by-step explanation:

-10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 1 0

Answer:

It would be 1.073 you can also rojnd ot to 1.07

Answer:

$1.07 per pound

Step-by-step explanation:

$3.22/3lb is about $1.07 per lb.

Answer: 5

Step-by-step explanation:

If the missing number is 5 we can write the equation

5x + 7 = 5x + 5

Subtract by 5x on both sides

7 = 5

7 does not equal have so we know it has no solutions.

Answer:

10,560

Step-by-step explanation:

8 x 1/4 --> 8/1 x 1/4

= 8/4 or 2

5,280 x 2 = 10,560

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

The study of data collection, analysis, presentation, and interpretation is known as statistics.

Given,

What is statistics?

Data collection, analysis, presentation, and interpretation are all part of the science of statistics. Much of the early motivation for the subject of statistics came from governmental needs for information on a variety of economic activity and census data.

Types of statistics;

Based on the characteristics, the various statistical kinds are divided: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as using pie charts, bar graphs, or tables.

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The statement that the amount of unemployment in this industry falls as a result of the increase in the minimum wage, is False.

One of the arguments against raising the minimum wage is that it could lead to an increase in unemployment. The reasoning is that if employers are forced to pay workers more, they may choose to hire fewer workers, cut back on hours, or increase prices to make up for the higher wages.

This could lead to some workers losing their jobs or having their hours reduced, which would result in an increase in unemployment. This sis shown in the graph with an increase in the minimum wage increasing the supply of labor but decreasing the demand for it.

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Amplitude is 5, midline is 3, period is π and the frequency is 2

We can describe the cosine function as y = Acos(B(x + C )+ D

where,

amplitude is A

Frequency is B

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

Step 1:

Identify

5 cos(2x) + 3 → Acos(B(x + C )+ D

Hence

A = 5 = Amplitude

B = 2.C = 0. So,

Period = 2π / B

= 2π / 2 = π

Period = π

Frequency = B = 2

Vertical shift = D = 3

Step 2:

Midline

The equation of the midline of periodic function is the average of the maximum and minimum values of the function.

a) we have a maximum when

cos(2x) = 1

x =0, because (cos 0) = 1 Now, replace

y = 5 cos(2x) + 3

y = 5cos(2. 0 ) +3

= 5.1 + 3

= 8

So, the maximum is 8

b) we have a minimum when

cos(2x) = -1

x = π/2 , because

cos(2.π/2) = cos(π) = -1

Now, replace

y = 5cos(2.π/2) + 3

= 5. (-1) + 3

= -5+3

= -2

So, the midline is the average of 8 and -2

Midline = y = [8 + (-2)] / 2

= 6/2

y = 3

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Answer:

a=8

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

-5a=-40

-40/-5=8

a=8

Answer:

The answer is C A = 8

Step-by-step explanation:

Took the test on edge

Answer:

Step-by-step explanation:

Answer:

f(6) = 16

Step-by-step explanation:

In the next steps we use this formula : f(n)=f(n-1)+2 

Since f(1)=6 then f(2)=f(2-1)+2 = f(1)+2 = 6+2 = 8

         f(2)=8 then f(3)=f(3-1)+2  = f(2)+2 = 8+2 = 10

         f(3)=10 then f(4)=f(4-1)+2  = f(3)+2 = 10+2 = 12

        f(4)=12 then f(5)=f(5-1)+2  = f(4)+2 = 12+2 = 14

        f(5)=14 then f(6)=f(5-1)+2  = f(4)+2 = 14+2 = 16.

Answer:

1/6

Step-by-step explanation:

there are 6 numbers on a die, and only one of them is 3.

so you would get 1/6 (because only one number out of 6 is 3)