What is the value of Z?

Answer:

16.1 seconds

Step-by-step explanation:

h = 16t²

h = 4144

4144 = 16t²

÷16      ÷16

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

259 = t²

√259 = √t²

16.1 ≈ t

I hope this helps!

Answer:

m∠x = 98°

Step-by-step explanation:

Step 1: Find the supplementary angle in the triangle

180 - (53 + 45) = 82

Step 2: Use Supplementary Angles to solve for x

180 - 82 = 98°

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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There is a 16.7% chance or probability  of selecting three state flags without replacement, where all three flags have only two colors.

To calculate the probability of selecting three state flags with only two colors, we first need to determine how many state flags meet this criteria. Out of the 50 state flags in the United States, there are only three flags that have two colors - Maine, Maryland, and Missouri.
Now that we know there are only three possible flags to choose from, we can calculate the probability of selecting all three with only two colors.
When we randomly select the first flag, there are three possible flags to choose from. However, only one of them has only two colors. Therefore, the probability of selecting a flag with two colors on the first try is 1/3.
After the first flag is selected, there are only two flags left that meet the criteria. Therefore, the probability of selecting a second flag with two colors is 1/2.
Finally, after the second flag is selected, there is only one flag left that meets the criteria. Therefore, the probability of selecting the third flag with two colors is 1/1 (or simply 1).
To calculate the probability of all three events happening together (selecting three flags with only two colors), we need to multiply the probabilities of each event together.
Therefore, the probability of selecting three state flags without replacement, where all three flags have only two colors, is:
1/3 x 1/2 x 1/1 = 1/6 or approximately 0.167.
In simpler terms, there is a 16.7% chance of selecting three state flags without replacement, where all three flags have only two colors.

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The error made by the student in the exponential function, y = 48,000(1.03)^x is that the function represented an exponential growth rather than an exponential decay.

An exponential function is written in the form y = abˣ.

In the exponential function, the exponent, x is a variable.

Annual decreasing rate of the fish population = 3% or 0.03

Original population = 48,000

Let the number of years = x

Exponential function: 48,000 (1 - 0.03)^x

= 48,000(0.97)^x

Thus, to represent an exponential decay, the exponential function should have been written as y = 48,000(0.97)^x.

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Answer:

Maria sold 89 candy bars.

Answer:

Quadrant 4 (IV)

Step-by-step explanation:

Quadrant 1: x>0, y>0

Quadrant 2: x<0, y>0

Quadrant 3: x<0, y<0

Quadrant 4: x>0, y<0

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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Answer:

The answer is B. 12,34 cm .....:)

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.

Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.

Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.

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Answer:

5x + 4y + 12

Step-by-step explanation:

x + 2 + 10 - y + 4x + 2y + 3y =

= 5x + 4y + 12

For function f(x) = x^3 + 6x^2 + 2x + 9, the first derivative is f'(x) = 3x^2 + 12x + 2, and the second derivative is f''(x) = 6x + 12.

For function f(x) = 1/(8x^3), the first derivative is f'(x) = -3/(8x^4), and the second derivative is f''(x) = 3/(2x^5).

Lastly, for function f(θ) = sin^2(θ), the first derivative is f'(θ) = 2sin(θ)cos(θ), and the second derivative is f''(θ) = 2(cos^2(θ) - sin^2(θ)).

a. The first derivative of f(x) = x^3 + 6x^2 + 2x + 9 is f'(x) = 3x^2 + 12x + 2. The second derivative of f(x) is f''(x) = 6x + 12.

b. The first derivative of f(x) = 1/(8x^3) can be found using the power rule and chain rule. Applying the power rule, we have f'(x) = -3/(8x^4). The second derivative is obtained by differentiating f'(x), giving us f''(x) = 12/(8x^5) = 3/(2x^5).

c. The first derivative of f(θ) = sin^2(θ) can be found using the chain rule. Applying the chain rule, we have f'(θ) = 2sin(θ)cos(θ). The second derivative is obtained by differentiating f'(θ), resulting in f''(θ) = 2(cos^2(θ) - sin^2(θ)).

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Answer:

49

Step-by-step explanation:

x

x+1

x+2

x+3

-------

4x+6

4x+6=190

    -6  -6

4x=184

/4    /4

x=46

This is the first integer, but we have to find the last integer so,

46,47,48,49

Answer:

80

Step-by-step explanation:

All triangle angles add up to 180 so:

4x - 20 + 2x + 2x = 180

8x - 20 = 180

8x = 200

x = 25

<H:

4x - 20

4(25) - 20

100 - 20

80

The statement that is not true about continuous probability distributions is:

Option c. If X is a continuous random variable taking values between 0 and 500, then P(X > 200) = P(X ? 200).

In continuous probability distributions, the probability of any event is the area under the density curve over the range of values that make up the event. The total area under the density curve must be exactly 1, as it represents the probability of all possible events occurring. There are no disjoint events in continuous probability models, as all events are considered to be connected and continuous.

However, the statement that P(X > 200) = P(X ? 200) is not true. This is because the probability of X being greater than 200 is not the same as the probability of X being less than or equal to 200. These are two separate events with different probabilities, and they cannot be equal.

Therefore, the correct answer is c. If X is a continuous random variable taking values between 0 and 500, then P(X > 200) = P(X ? 200).

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Answer:

17500

Step-by-step explanation:

Cos my pancakes told me

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

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

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

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

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

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

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

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

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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The company's profits for March through May were each -$797.

Let's start by adding the profits for January and February:

Profit for January + Profit for February = $4,758 + (-$3,642) = $1,116

We know that the company's profits for March through May were the same in each of these months, so let's call this common profit "X". Therefore, the total profit for these three months would be:

3 * X = 3X

Adding up the profits for all five months gives us the total profit for the year:

$1,116 + 3X = -$1,275

Subtracting $1,116 from both sides gives us:

3X = -$2,391

Dividing both sides by 3 gives us:

X = -$797

Therefore, the company's profits for March through May were each -$797.

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The present value of 30 end-of-year payments is $3,400. Option C is correct.

Discount Rate = 5.4%Compounded Annually

The payment is End of Year Payment = 30

Interest rate (r) = 5.4%

We need to calculate the present value of the end-of-year payments of $1400, $2400, and $3400 respectively.

Therefore, using the formula for the present value of an annuity, we get;

Present Value = $1400 * [1 - 1 / (1 + 0.054)³⁰] / 0.054

= $35,101.21

Present Value = $2400 * [1 - 1 / (1 + 0.054)³⁰] / 0.054

= $60,170.39

Present Value = $3400 * [1 - 1 / (1 + 0.054)³⁰] / 0.054

= $85,239.57

The present value of the end-of-year payments of $1400 is $35,101.21.

The present value of the end-of-year payments of $2400 is $60,170.39.

The present value of the end-of-year payments of $3400 is $85,239.57.

Thus, the present value of an annuity is proportional to the size of the periodic payment.

Therefore, the answer is $3,400. Option C is correct.

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The sample correlation coefficient, is represented as  r, measures the strength of correlation  and direction of the linear relationship between two variables. It ranges from -1 to 1. The closer the coefficient is to -1, the stronger the negative correlation, the closer it is to 1, the stronger makes the  positive correlation reach towards its closer and the closer towards to the expectancy to 0, the weaker the correlation.

The correlation coefficient does not indicate the cause and effect relationship between the variables, just the association between them.

A positive correlation tells us  that as one variable increases with respective its the other variable also increases, and a negative correlation means that as one variable increases with respective to its the other variable decreases.

So, the value of the sample correlation coefficient between the  rates of admit and the -yr grad rate . rate can indicate if these variables are positively or negatively done as  correlated and how strong is this correlation occurs.

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Answer:

72% decrease I...guess?

120 members-60 members=50%

-70 should be approx=60%

-80  should be approx=70%

so 80 is around 70%, so I'd say 82 is 72%

I'm most likely wrong but i dunno maybe im right

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

((120 - 82) / 120) x 100 = 31.66 %

31.66% to the nearest whole percentage is 32%

So h = (t²)/3 is a similar equation that seeks to find h using a reciprocal. Similarly, any of the other equations on the preceding list can be used to find the answer to h.

Any of the following equations can be used to create an analogous equation that solves for h using a reciprocal:

1/h = 3/t

t/h = 3

h/t = 1/3

The reciprocal of h is utilized to find the value of h in each of these equations. One divided by the number is known as the reciprocal. As an illustration, the reciprocal of 4 is 1/4 and that of h is 1/h. We can determine h's value in terms of t by using the reciprocal.

If we apply the equation 1/h = 3/t, for instance, we may find h by multiplying both sides by t:

t/h = 3/t

t²/h = 3

h = t²/3

Therefore, the corresponding equation h = (t²)/3 employs a reciprocal to find h. Similarly, any of the other equations on the preceding list can be used to find the answer to h.

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The unknown variables in parallelograms above include the following:

x = 8 units.

y = 27 units.

x = 20°

x = 9°

In Mathematics, a parallelogram simply refers to a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In this context, we have:

2x - 5 = 11

2x = 11 + 5

2x = 16

x = 8 units.

y + 1 = 28

y = 28 -1

y = 27 units.

Generally speaking, the opposite angles of a parallelogram are always congruent or equal and as such, we have the following:

(7x - 1)° = 139°

7x = 139° + 1°

7x = 140°

x = 140/7

x = 20°

For parallelogram b, we have:

(7x - 10)° = (6x - 1)°

7x - 6x = -1 + 10

x = 9°

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Answer:

x = 2

y = -3

Step-by-step explanation:

y = x-5

y = -x-1

2x -4 = 0

2x = 4

x =2

y = 2-5

y = -3

Answer:

87,000 ; 10.6%

Step-by-step explanation:

Given the function :

P(t)=87,000e^0.106t

P(t) is an exponential function ; comparing the given function to the general form of an exponential function :

y = Ae^rt

Where,

A = initial amount ; r = growth rate ; t = time

The Given function models t years after 2010, that is the 2010 population is the initial population of the city.

Comparing the general exponential equation with the function given:

A = 87,000 = population of city in 2010

The growth rate :

rt from the general equation compares to 0.106t in the given function.

rt = 0.106t

r = 0.106

Hence, the rate of change = 0.106 * 100% = 10.6%

The quality control engineer will test the parts every 3 minutes.

To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes

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The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

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