48 feet is 12% of
feet?

Answer:

Four percent

Step-by-step explanation:

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Work Shown:

Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(37) = 30/x

x*cos(37) = 30

x = 30/cos(37)

x = 37.5640697  approximately

x = 37.6

The option that cannot have a Poisson distribution is The length of a movie. Thus, the correct answer is A.

The Poisson distribution is a discrete probability distribution that is used to describe the probability of a given number of events occurring in a fixed period of time or space if these events occur with a known constant rate and independently of the time since the last event.

In the case of the length of a movie, it is not a discrete event that can be counted, but rather a continuous measurement, so it cannot be described using the Poisson distribution.

Options b, c, and d are all discrete events that can be counted and therefore can be described using the Poisson distribution.

Thus, the correct answer is A. the length of a movie

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Answer:

27 times

Step-by-step explanation:

A regular dice usually has 6 sides. A fair dice means you have an equally likely chance of landing on any face.

So we would do 162 ÷ 6 to get 27.

Answer:

33.22 square inches

Step-by-step explanation:

Diameter to Radius: \(\frac{1}{2}d = r\)

Area of Circle: \(\pi r^2\)

We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3

Next, since there's two pancakes, we double 16.6106.

Lastly, we round to the nearest hundredth.

Therefore, the answer is 33.22 square inches.

The length of the first piece is 14 inches.

Let's assume that the length of the second piece of the 16-inch steel pipe is x inches.

According to the problem, the first piece is 7 times as long as the second piece.

The length of the first piece can be expressed as 7x inches.

The total length of the steel pipe is the sum of the lengths of the two pieces.

So, we have the equation:

x + 7x = 16

Combining like terms, we get:

8x = 16

To solve for x, we divide both sides of the equation by 8:

x = 16/8

x = 2

The length of the second piece is 2 inches.

To find the length of the first piece, we substitute the value of x into the expression 7x:

Length of the first piece = 7 × 2 = 14 inches.

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The interpretation of H' (24) in this case will be "The average rate at which the temperature changed during the 24th hour.

Correct option is c

The given function H(t) gives the temperature in degrees Celsius at an Arctic weather station. Therefore, H is a differentiable function of t. We are asked to determine the best interpretation of H'(24). H'(24) is the derivative of H with respect to t at t = 24.

Because H' (t) measures the instantaneous rate of change of H with respect to t, the best interpretation of H' (24) will be the average rate at which the temperature changed during the 24th hour. Answer: C. The average rate at which the temperature changed during the 24th hour.

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Based on the given data, the professors' grading procedures have different variances. To determine if the difference is statistically significant at the 2% level of significance, we can use a two-sample F-test. The F-statistic is calculated by dividing the larger variance by the smaller variance. In this case, the F-statistic is 2.97. Using a critical value of 5.05, we can reject the null hypothesis that the variances are equal. Thus, the decision is that there is a statistically significant difference in the variance of the professors' grading procedures.

In statistics, variance is a measure of the spread of a distribution. When comparing two variances, we can use a two-sample F-test to determine if they are statistically different. The F-statistic is calculated by dividing the larger variance by the smaller variance. If the calculated F-value is greater than the critical value, we reject the null hypothesis that the variances are equal.

In this case, the professors' grading procedures have different variances, with Professor 1 having a larger variance than Professor 2. Using a two-sample F-test, we determined that the difference in variances is statistically significant at the 2% level of significance. This means that there is strong evidence to suggest that the professors' grading procedures differ in their spread of grades.

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Distance for the anchor drop every 5 seconds is,

⇒ E = 63 meters

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A big ship drops its anchor.

Here, E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).

E = - 2.4t + 75

Now, Distance for the anchor drop every 5 seconds is,

Put t = 5;

E = - 2.4t + 75

E = - 2.4 × 5 + 75

E = - 12 + 75

E = 63 meters

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Answer:

\( \frac{n(n + 1)}{2} \)

A positive δS and a negative δH indicate a spontaneous reaction.

The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:

ΔG = ΔH - TΔS

where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.

If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.

In summary, a positive δS and a negative δH indicate a spontaneous reaction.

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The mean fluoride concentration in the sample is approximately 0.6024 mg/l, and the 90% confidence interval for the average fluoride concentration is (0.5498, 0.6549) mg/l.

To determine the mean and 90% confidence interval for the average fluoride concentration in the sample, we can calculate the sample mean and the margin of error.

First, calculate the sample mean:

Mean = (0.611 + 0.591 + 0.611 + 0.589 + 0.611) / 5 = 0.6024 mg/l

Next, calculate the standard deviation of the sample:

Standard Deviation = sqrt(((0.611-0.6024)^2 + (0.591-0.6024)^2 + (0.611-0.6024)^2 + (0.589-0.6024)^2 + (0.611-0.6024)^2) / (5-1))

= sqrt(0.0002744 + 0.0006272 + 0.0002744 + 0.0007928 + 0.0002744)

= sqrt(0.0022432)

= 0.0473 mg/l (approximately)

Next, calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / sqrt(n))

Since we want a 90% confidence interval, the critical value can be obtained from the t-distribution table for n-1 degrees of freedom. For a sample size of 5 and a 90% confidence level, the critical value is approximately 2.776.

Margin of Error = 2.776 * (0.0473 / sqrt(5))

= 0.0526 mg/l (approximately)

Finally, calculate the confidence interval:

Confidence Interval = (Mean - Margin of Error, Mean + Margin of Error)

= (0.6024 - 0.0526, 0.6024 + 0.0526)

= (0.5498, 0.6549)

Therefore, the mean fluoride concentration in the sample is approximately 0.6024 mg/l, and the 90% confidence interval for the average fluoride concentration is (0.5498, 0.6549) mg/l.

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The algebraic expression for the ice cream is 3x + 2y + 0.75z.

The cost of Rafael ice cream is 12 dollars

The algebraic expression that represent the cost of an ice cream is as follows:

let

number of scoop = x

number of topping = y

number of added syrup = z

Hence,

cost of the ice cream = 3x + 2y + 0.75z

Therefore,

The cost of ice cream Rafael ordered is as follows:

cost of ice cream = 3(3) + 0.75(4)

cost of ice cream = 9 + 3

cost of the ice cream = 12

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On the z-table with a 90% confidence interval, the value 1.645 is called the critical value. The critical value is used to determine the boundary values for the confidence interval.  Correct option is A.

In a confidence interval, we use sample data to estimate the true population parameter with a certain degree of certainty or confidence. The critical value is determined based on the desired confidence level and the degrees of freedom (sample size - 1) of the distribution.

For example, if we want a 90% confidence interval, we use the z-table to find the critical value that corresponds to a probability of 0.05 in the tail of the distribution. The critical value represents the number of standard errors that correspond to the probability in the tail of the distribution.

Once we have determined the critical value, we can use it to find the margin of error for the confidence interval, which represents the range of values within which the true population parameter is likely to lie. The margin of error is calculated by multiplying the critical value by the standard error of the sample statistic.

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Complete question is:

On the z table with a 90% confidence interval, what is 1.645 called? group of answer choices

a. critical value

b. confidence interval

c. margin of error point

d. estimate

Answer:

×=-2+12/2,the anwser is ×=5,×=-7

Answer:

The y-intercept is 16, which represents the original depth of snow on the lawn

Step-by-step explanation:

t is the time in hours where the snow melted, so 16 was the original amount of snow on the ground before it melted over time.

The y-intercept is 16 inches. Then the y-intercept represents the height of the snow initially.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Eli noticed a lot of snow on his front lawn towards the conclusion of a snowstorm. As the weather rose, the snow began to melt at a steady pace. The depth of snow on Eli's lawn in inches may be calculated using the equation S = 16 - t, where t is the time after the snow ceased falling in hours.

Compare the equation with the standard equation, then we have

c = 16

The y-intercept represents the height of the snow initially.

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Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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Answer:  The value of b= 15.6

Step-by-step explanation:

The given equation:  \(4\dfrac{1}{3}b+b=6b-10.4\)

To find : Value of b.

Since, we can write \(4\dfrac{1}{3}=\dfrac{13}{3}\)

So, the given equation becomes \(\dfrac{13}{3}b+b=6b-10.4\)

\(\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4\)

Subtract 6b from both sides , we get

\(\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6\)

hence, the value of b= 15.6

The probability of this event happening is about 0.00833 or 0.833%. This problem can be solved using the principle of inclusion-exclusion. The total number of ways to throw 12 balls into 20 boxes is 20^12 since each can be thrown into any of the 20 boxes.

We can use the principle of inclusion-exclusion principle to count the number of ways in which no box receives more than one ball. Let A_i be the set of all ways box I receive more than one ball, and let A = ∪ A_i be the set of all ways at least one box receives more than one ball.

C(20, i) × (2^i - 2), Since there are 2^i ways to distribute the balls among the I boxes, we must subtract 2 to exclude cases where one box receives all 12 balls or where two boxes each receive 6 balls.

To compute |A_i ∩ A_j|, we first choose i and j out of 20, with I < j, and then distribute 3 or more balls among these boxes. The number of ways to do this is C(20, i) × C(19, j) × (3^(i+j-2) - 3^(i+j-3)).

Now, let's count the number of ways to distribute the balls so that no box receives more than one ball. In this case, we can only place one star in each box, and the remaining boxes must be empty. The number of ways to choose 12 boxes out of 20 to receive one ball the binomial coefficient gives each:

C(20, 12) = 20! / (12! * 8!) = 125,970

Therefore, the probability of distributing the balls such that no box receives more than one ball is:

P = C(20, 12) / C(31, 19) = 125,970 / 15,134,770 ≈ 0.00833

So the probability of this event happening is about 0.00833 or 0.833%.

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Answer:

The answer is B.

Step-by-step explanation:

I remember this question.

Answer:

c

Step-by-step explanation:

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

\(\frac{6}{7}\) divide by 2

Step-by-step explanation:

gcf of 12 and 14

and that is 2

so \(\frac{6}{7}\)

<3

Red

Number equivalent to 12/14 is 6/7 .

Given,

12 divided 14

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

20/3

= 12/14

Divide numerator and denominator by 2

= 6/7

Hence the answer is 6/7 .

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The equality given as x² = -x  is true when x = 0 and x = -1

From the question, the equation is given as

x^2=-x

Rewrite the equation properly as follows

So, we have

x² = -x

Add x to both sides of the equation

So, we have the following equation

x² + x = 0

Factor out x from the equation

This gives

x(x + 1) = 0

So, we have

x = 0 and x + 1 = 0

Solve for x

x = 0 and x = -1

Hence, the equality is true when x = 0 and x = -1

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Answer:

x = 14

Step-by-step explanation:

Two lines given in the picture intersect each other at a point.

Given angles are the linear pair of angles.

Since, linear pair of the angles is supplementary,

(7x - 1)° + (6x - 1)° = 180°

(7x + 6x) + (- 1 - 1) = 180

13x -2 = 180

13x = 180 + 2

x = \(\frac{182}{13}\)

x = 14

Therefore, x = 14 will be the answer.

Answer:

The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).

The range of the function shown in the graph is the set of all real numbers for y.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The set of input values in the function is called domain and the set of output values are called range of the function.

So the range of the function will be the set of y values.

From the graph, it is clear that, the curve is passing corresponding to every y value.

In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.

So the range is the set of all real numbers.

Hence the range is all the real numbers for y.

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Answer:

16a

Step-by-step explanation:

14a+2=14+2+a=16a.