Melanie is paid $15 per hour working as a police dispatcher. This year she will be getting 12% raise. By what amount will her hourly pay increase?

Answer:

62, since positive doesn't change to negative.

The HDD for the month of January in State College, PA is 930.

To calculate the HDD (Heating Degree Days) for the month of January in State College, PA, we need to subtract the average daily temperature from 65 degrees Fahrenheit, which is considered the standard temperature for indoor heating.

HDD = 65°F - 35°F
HDD = 30°F

Therefore, the HDD for the month of January in State College, PA is 30 degrees Fahrenheit.
Hi! To calculate the Heating Degree Days (HDD) for the month of January in State College, PA with an average outside temperature of 35 degrees F, follow these steps:

1. Determine the base temperature: In the US, the base temperature is commonly 65 degrees F.
2. Subtract the average temperature from the base temperature: 65 - 35 = 30 degrees.
3. Multiply the difference by the number of days in the month: January has 31 days, so 30 * 31 = 930.

So, the HDD for the month of January in State College, PA is 930.

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To calculate the HDD for the month of January in State College, PA, we need to first determine the base temperature. The base temperature is the temperature below which a building needs to be heated in order to maintain a comfortable indoor temperature. In this case, we will use a base temperature of 65 degrees F.

To calculate the HDD, we need to subtract the average daily temperature from the base temperature and sum up the values for each day of the month. If we assume that January has 31 days, we can calculate the HDD as follows:

HDD = (65 - 35) x 31
HDD = 930

So the HDD for the month of January in State College, PA is 930. This means that during the month of January, there were 930 heating degree days, which indicates the amount of heating required to maintain a comfortable indoor temperature. It is important to note that the HDD can vary depending on the base temperature used, so it is important to choose a base temperature that is appropriate for the climate and the building being heated.

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Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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The tips as well as tricks that can help you know about right angle trig are::

Know the trig ratios such as: sine, cosine, and digression. One can be able to make use of them to know  the length of a side or the measure of an point in a right-angled triangle.

By Learning the SOH-CAH-TOA acronym, it will help assist you tp keep in mind the ratio to use .

Lastly, make sure that your calculator is set to the proper mode such as (degrees or radians) which you are using the right buttons to solve for the trig capacities.

Hone with parts of illustrations.

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A Venn diagram is used to present the relationship between sets in a logical form

Please find attached the completed Venn diagrams for the questions with the contents outlined as follows;

1. The set of whole numbers 1 to 15 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Set A = All even numbers in this set

Set A = {2, 4, 6, 8, 10, 12}

2. The set of whole numbers from 1 to 20

Set C = All even numbers = {2, 4,  6, 8, 10, 12, 14, 16, 18, 20}

Set D = All multiples of 4 = {4, 8, 12, 16, 20}

3. The set of all whole numbers from 1 to 20

Set E = {2, 4, 6, 7, 9, 10}

Se F = {3, 4, 5, 9, 10, 13, 15, 16, 19,20}

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m∠B = 10 and m∠Q = 10. Since ΔABC ≅ ΔPQR, the corresponding angles are congruent. Therefore, we can set up the following equation:

m∠B = m∠Q

Given that m∠B = 3v + 4 and m∠Q = 8v - 6, we can equate these expressions:

3v + 4 = 8v - 6

To solve for v, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side:

4 + 6 = 8v - 3v

10 = 5v

Dividing both sides by 5:

v = 2

Now that we have the value of v, we can substitute it back into the expressions for m∠B and m∠Q:

m∠B = 3(2) + 4 = 10

m∠Q = 8(2) - 6 = 10

Therefore, m∠B = 10 and m∠Q = 10.

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Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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Independent variable = w ( number of weeks )

It does not depend of another variable.

Dependent variable = p ( price ) it depends of the number of weeks

Variable amount = 0.3 ( depends of the number of weeks)

Fixed amount = 2.399

The supplement has a statistically significant effect on running speed at a significance level of 0.05 (since the p-value is less than 0.05).

To find the two-sided p-value for the corresponding paired t-test, we need to use the information given in the paper. The paper reported that running speed improved by an average of 2 seconds/mile with a 90% confidence interval for the mean of 0.1 to 3.9 seconds/mile. To calculate the two-sided p-value, we need to assume that the null hypothesis is that the supplement has no effect on running speed. Therefore, the alternative hypothesis is that the supplement does have an effect on running speed. Using a t-test, we can calculate the t-statistic as (2 - 0) / (0.9 / sqrt(10)) = 7.95 (where 0 is the hypothesized mean improvement in running speed and 0.9 is the standard error of the mean based on the confidence interval given). Using a t-distribution table with 9 degrees of freedom (n-1), we can find that the probability of getting a t-statistic greater than or equal to 7.95 (or less than or equal to -7.95) is less than 0.001.
Since this is a two-sided test, we need to double this probability to get the two-sided p-value, which is less than 0.002. Therefore, we can conclude that the supplement has a statistically significant effect on running speed at a significance level of 0.05 (since the p-value is less than 0.05).

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Answer: the answer is b 1/4t

soln,

2x+3x+x=180[Being angle on a line]

or,6x=180

or,x=180/6

or,x=30

Please give me brainliest answer

To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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Answer:

BC is 10 unit

BD is 15 units

Step-by-step explanation:

Here, given the end points of the line segments, we want to calculate BD and DC

Mathematically, the distance between two points can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

For BD, we have the following

D = √(14-5)^2 + (14-2)^2

D = √(9)^2 + 12^2

D = √81 + 144

D = √(225)

Distance BD is 15 units

For BC, we have the following

D = √(11-5)^2 + (10-2)^2

D = √(6)^2 + 8^2

D = √100

D = 10

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer:6 miles

Step-by-step explanation:

Answer:

First Day: 8

Second Day: 12

OF COURSE CORRECT.

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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EXPLANATION

Let's see the facts:

Cost = $48,000

Tax= $288

The proportionality for a $59,000 is as follows:

Simplifying the fractions:

Answer: the tax for a $59,000 dollars house is of $354.

Answer:

6/18 x 4/6

Step-by-step explanation:

The five solutions are :

For the given information, the value of the test statistic is -1.724 and its associated p-value is 0.0426.

In order to calculate the p value of students with GPA of 3.00 or below, the standard score (z -score or test statistic) must be determined first. In statistics, the standard score refers to the number of standard deviations by which the scores differs from the mean value of the observed or measured data. Scores above the mean have positive standard scores, while those below the mean have negative standard scores.

In a sample of 190 graduates, 28 students have a GPA of 3.00 or below, x = 28/190 = 0.15

The standard deviation = √(p(1 – p)/n) = √(0.2(1-0.2)/190) = 0.029 (where p is the probability of success and n is the total number of data)

The z-score = (x - µ)/σ = (0.15 – 0.2)/0.029 = - 1.724

From the table,

The P (z < -1.724) = 0.0426 or 4.26%.

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The double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

The iterated integral to compute the double integral over the rectangle r = {(x,y) : 0 ≤ x ≤ π, 0 ≤ y ≤ a} of sin(xy) is given by:

∫∫r sin(xy) dA = ∫₀^a ∫₀^π sin(xy) dx dy

Integrating with respect to x first, we have:

∫₀^a ∫₀^π sin(xy) dx dy = ∫₀^a [-cos(πy) + cos(0)] dy

= ∫₀^a (1 - (-1)^n) dy

= a - (a/π)sin(πa)

For what values of a is ∫∫r sin(xy) dA equal to 1?

We need to solve the equation:

a - (a/π)sin(πa) = 1

Multiplying both sides by π, we get:

aπ - a sin(πa) = π

Now, let f(a) = aπ - a sin(πa) - π. We need to find the values of a such that f(a) = 0.

Using numerical methods, we can find that there is only one solution in the interval [0,π], which is approximately a = 0.986.

Therefore, the double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

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Answer:

Step-by-step explanation:

Answer:

its 16

Step-by-step explanation:

Answer:

FG = 16

Step-by-step explanation:

the angle between EF ( y- axis) and EH (x- axis) is right

thus the 4 angles in EFGH are right angles meaning the figure is a square.

the sides of a square are congruent , so

GH = FG , that is

3x + 1 = x + 11 ( subtract x from both sides )

2x + 1 = 11 ( subtract 1 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

FG = x + 11 = 5 + 11 = 16

Answer:

y=12

Step-by-step explanation:

y=2x ,so 2x=8x-x^2

x^2=8x-2x

x^2=6x

x^2/x=6x/x

x=6

y=2x ,2(6)

y=12

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:

Step-by-step explanation:

Givens

Time = 6.25 hours

distance = 13.6 cm - 11.1 cm = 2.5 cm

Formula

rate = distance / time

Solution

rate = 2.5 / 6.25

rate = 0.4 cm/hour

Answer:

A

Step-by-step explanation:

The transformation, the value of the table is B (-5,3) B 2.

We have given that,

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin.

We have to complete the table to show the locations of A'. B', C', and D'  after both transformations.

A transformation is a function f, usually with some geometrical that maps a set X to itself, and f: X → X.

Therefore after the transformation, the value of the table is

B (-5,3) B 2.

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