If (3.46)²-(1.54 ) 2 = 10x
find the value of x

Answer:

1.8 pages per minute and 81 lines per minute.

The total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct option is  c. $447,200.

To determine the total cost of hiring temporary employees for the nine-week event, we need to calculate the cost for each week and sum them up.

Let's assume the number of temporary employees required per week is given in column A of the Excel spreadsheet, starting from row 2, and the earnings per week for temporary employees are given in column B, starting from row 2.

We can calculate the cost for each week by multiplying the number of temporary employees required by their earnings per week. The formula for calculating the cost for each week would be: =A2 * B2

Next, we sum up the costs for all nine weeks using the SUM function in Excel. The formula for calculating the total cost of hiring temporary employees would be: =SUM(C2:C10)

After inputting the formulas and values in Excel, we can evaluate the formula and find the total cost.

Let's assume the total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct answer is option c. $447,200.

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The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Using the z table, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

In the given question,

We have to find that the probability that a standard normal random variable will be between 0.3 and 3.2 .

We firstly learn about a standard normal random variable which is expressed with a mean and standard deviation.

Since we have to find the probability that a standard normal random variable will be between 0.3 and 3.2 .

So The probability should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

From the standard value of z

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

Hence, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

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Answer:

12x-24y

Step-by-step explanation:

Youuuuuuuuuur Welcome

Answer:

15

Step-by-step explanation:

4x-8y=5

4x=8y+5

3(8y+5-8y)

3(5)

15

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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Answer:

taco Tuesday way chamaco

Step-by-step explanation:

Answer: > (1st answer choice)

Step-by-step explanation: 0.9 is greater than 0.81

Answer:

Step-by-step explanation:

a)

The best estimate for height of the lamp post will be 6m.

Given options for height of lamp post include heights in cm's but for a lamp post heights can not be this low because if height is very low such as 6cm and 60cm the light will not incident on proper place.

So for the lamp post height will be in the range of (5-15)m which is the ideal range for the height of lamp post. Thus option 4 is also neglected.

Hence 6m will be appropriate height for a lamp post.

b)

The best estimate for mass of a pear will be 10g.

Given estimates for a mass of pear can not be of the range kilograms.

As pear possess very less matter in it , the ideal weight of a pear will be in the range of grams.

Hence 10g will be appropriate for the estimation.


c)

Filled kettle will have 2 litres of water in it.

Given quantity of water in the kettle will be of the range in litres as a kettle that contains water will have (1-5)litres of capacity.

Hence for filled kettle the amount of water will be 2litres.

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Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km

Answer:

a cycle is a sequence of non-repeated vertices and the degree of a graph is the number of neighbors the vertex has.

Answer:

The slope of line d is 3/2 since the slopes of perpendicular lines are negative reciprocals of each other.

So the correct equation is

-2/3 × slope of d = -1

Answer:

3/2

Step-by-step explanation:

If a line is perpendicular to the other it's slope is the inverse reciprocal of the other slope

We can conclude that the marketing manager's claim is true.

To determine whether the marketing manager's claim is true, we need to conduct a hypothesis test.

Let p be the proportion of all children aged 8-12 who have cell phones. The marketing manager claims that p > 0.5, while the national consumers group survey found that 39/54 or p' = 0.722 have cell phones.

The null hypothesis is that the true proportion of children with cell phones is less than or equal to 0.5:

H0: p ≤ 0.5

The alternative hypothesis is that the true proportion of children with cell phones is greater than 0.5:

Ha: p > 0.5

We will conduct a one-tailed hypothesis test with a level of significance of 0.05.

Under the null hypothesis, the sample proportion follows a binomial distribution with parameters n = 54 and p = 0.5. The standard error of the sample proportion is given by:

SE = √[p(1-p)/n] = √[0.5(1-0.5)/54] = 0.070

The test statistic is calculated as:

z = (p' - p) / SE = (0.722 - 0.5) / 0.070 = 3.14

The critical value for a one-tailed test with a level of significance of 0.05 is 1.645, using the standard normal distribution table.

Since the test statistic (z = 3.14) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than half of the children aged 8-12 have cell phones.

Therefore, we can conclude that the marketing manager's claim is supported by the data from the survey.

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Answer:

So from the general equation of line passing through two points is (y-y')=m(x-x') Where m is slope of the line and (x'y') be any any point out of these given two points. So, from the formula of slope m m (Y2 - Y1)/(x2-x1) So, m = 2-(-4)/(−2 − 1) m=-2 So equation of line will be (y-2)=-2(x+2) y-2=-2x-4 2x+y+2=0

Answer:

Step-by-step explanation:

(8 + 1)/(4 + 2)= 9/6 = 3/2

y + 1 = 3/2(x + 2)

y + 1 = 3/2x + 3

y = 3/2x + 2

Answer:

715 miles

Step-by-step explanation:

We Know

Lashonda drove 495 miles in 9 hours.

495 / 9 = 55 miles per hour

At the same rate, how many miles would she drive in 13 hours?

We Take

55 x 13 = 715 miles

So, she drives 715 miles in 13 hours.

\(\begin{array}{ccll} miles&hours\\ \cline{1-2} 495 & 9\\ m& 13 \end{array} \implies \cfrac{495}{m}~~=~~\cfrac{9}{13} \\\\\\ (495)(13)=9m\implies \cfrac{(495)(13)}{9}=m\implies 715=m\)

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\left(1+\dfrac{r}{t}\right)^{t}\)

Here, \(A\) is the final amount (principal plus interest amount) on the principal amount of \(P\) with the rate of \(r\) in the time period of \(t\).

Calvin deposits $400 in a savings account and Interest rate is 5 present compounded monthly.

As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,

\(658.8=400\left(1+\dfrac{5}{12\times100}\right)^{12c}\\\dfrac{658.8}{400}=\left(\dfrac{1205}{1200}\right)^{12c}\\c\cong10\rm years\)

Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,

\(613.4=300\left(1+\dfrac{6}{12\times100}\right)^{12m}\\\dfrac{613.4}{300}=\left(\dfrac{1206}{1200}\right)^{12m}\\c\cong12\rm years\)

Thus, the approximate difference in the number of years that Calvin and Makayla have their money invested is 2 years.

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Answer:

B. Makayla invests her money 2 years longer.

Step-by-step explanation:

edge

In linear equation, $56.65are  the value of the coins in dollars .

What is a linear equation example?

We need to find how many of the 206 coins are nickels, dimes, or quarters.

We know the quantities of each coin in relation to one another.

From that relationship we can set up a ratio.

Let Q = number of quarters

Let D = number of dimes

Let N = number of nickels

Then Q:D:N = 1:1:2

this tells us if the girl had 4 coins, she would have 1 quarter, 1 dime, and 2 nickels.

We want to keep this same ratio but we want the total number of coins to be 206.

If we divide 206 by 4, we get the number that we use to multiply our ratio.

206/4 = 51.5

So she has 51.5 quarters, 51.5 dimes, and 103 nickels.

the value of the coins in dollars = 51.5(0.10) + 51.5(0.05) + 103(.25) = $56.65

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If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.

The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.

To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.

Next, we can use the Poisson distribution formula, which is:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).

Expected number of arrivals = λ * t = 5 * 0.75 = 3.75

Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.

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A genetic experiment with peas resulted in a sample of 412 green peas and 155 yellow peas.

To estimate the percentage of yellow peas in the population, we can construct a 90% confidence interval. Using a calculator or statistical software, we find that the margin of error is 0.035 and the interval extends from 0.253 to 0.335. To express these percentages in decimal form, we divide by 100 to get 0.253 and 0.335.
Next, we compare this interval to the expected percentage of yellow peas, which was 25%. The interval does not include 0.25, so we cannot be 90% confident that the true percentage of yellow peas in the population is 25%. However, this does not necessarily mean that the results contradict expectations. The confidence interval includes values both above and below 0.25, so it is possible that the true percentage is still close to 25%. Additionally, it is important to consider the sample size and potential sources of error in the experiment before drawing conclusions about the results.

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The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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The closest coordinate plane to the point (6, 2, 7) is the xy-plane.

To determine which coordinate plane is closest to a given point, we look at the value of the coordinate that is perpendicular to each plane. The xy-plane is defined by the equation z = 0, which means that the z-coordinate is always 0 on this plane.

In the given point (6, 2, 7), the z-coordinate is 7. Since it is not equal to 0, the point does not lie on the xy-plane. However, we can compare the absolute values of the z-coordinate with the absolute values of the coordinates on the other planes.

The absolute value of 7 is smaller than the absolute values of 6 and 2, indicating that the point (6, 2, 7) is closer to the xy-plane than the other coordinate planes.

Regarding the equation of the sphere with center (6, 2, 7) that just touches the xy-plane at one point, we need additional information to determine the radius of the sphere or the coordinates of the point of tangency. Without this information, we cannot provide a specific equation for the sphere.

Therefore, the xy-plane is the coordinate plane closest to the point (6, 2, 7), indicating that the z-coordinate is further away from zero compared to the other coordinates.

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Answer:

D. -0.48

Step-by-step explanation:

A. -0.56

B. -0.056

C. -0.5 (-0.50)

D. -0.48

-0.48 is the largest number because it is the closest number to 0

Answer:

-0.056

Step-by-step explanation:

All work is shown in the screenshot that I have attached to this answer! :)

I guess you're asking about the probability density for the random variable \(|A-B|\) where \(A,B\) are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. \(A\) is

\(\mathrm{Pr}(A=a) = \begin{cases}\dfrac1{15} & \text{if } 0 < a < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

It's easy to see that the support of \(|A-B|\) is the same interval, (0, 15), since \(|x|\ge0\), and

• at most, if \(A=15\) and \(B=0\), or vice versa, then \(|A-B|=15\)

• at least, if \(A=B\), then \(|A-B|=0\)

Compute the CDF of \(C=|A-B|\) :

\(\mathrm{Pr}(C\le c) = \mathrm{Pr}(|A - B| \le c) = \mathrm{Pr}(-c \le A - B \le c)\)

This probability corresponds to the integral of the joint density of \(A,B\) over a subset of a square with side length 15 (see attached). Since \(A,B\) are independent, their joint density is

\(\mathrm{Pr}(A=a,B=b) = \begin{cases}\dfrac1{15^2} & \text{if } (a,b) \in (0,15) \times (0,15) \\ 0 &\text{otherwise}\end{cases}\)

The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \mathrm{Pr}(|A-B| > c) \\\\ ~~~~~~~~ = 1 - \int_0^{15-c} \int_{a+c}^{15} \frac{db\,da}{15^2} - \int_c^{15} \int_0^{a-c} \frac{db\,da}{15^2} \\\\ ~~~~~~~~ = 1 - \frac1{225} \left(\int_0^{15-c} (15 - a - c) \, da + \int_c^{15} (a - c) \, da\right)\)

In the second integral, substitute \(a=15-a'\) and \(da=-da'\), so that

\(\displaystyle \int_c^{15} (a-c) \, da = \int_{15-c}^0 (15-a'-c) (-da') = \int_0^{15-c} (15 - a' - c) \, da'\)

which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.

Then the CDF is

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \frac2{225} \int_0^{15-c} (15 - a - c) \, da \\\\ ~~~~~~~~ = 1 - \frac2{225} \left((15-c) a - \frac12 a^2\right) \bigg|_{a=0}^{a=15-c} \\\\ ~~~~~~~~ = \begin{cases}0 & \text{if } c < 0 \\\\ 1 - \dfrac{(15-c)^2}{225} = \dfrac{2c}{15} - \dfrac{c^2}{225} & \text{if } 0 \le c < 15 \\\\ 1 & \text{if } c \ge 15\end{cases}\)

We recover the PDF by differentiating with respect to \(c\).

\(\mathrm{Pr}(|A-B| = c) = \begin{cases}\dfrac2{15} - \dfrac{2c}{225} & \text{if } 0 < c < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

Answer:

8 hours

Step-by-step explanation:

24 X 8     X 1FOOT DROP =  192 FT ^3

Assuming   .40 ft^3 per MINUTE

192/.4 = 480 minutes   = 8 hours