What is this answer please

Answer:

-1

Step-by-step explanation:

replace x with -1

20>4(-1)+16

20>-4+16

20>12

ANSWER

Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

EXPLANATION

Given:

Rectangle with length = 12 and breadth = 7.

Semi-Circle with diameter = 4

Desired Outcome:

The area of the shaded region.

Looking at the figure carefully, you will notice that it was only half of the circle that was fixed with the rectangle.

Determine the Area of a semi-circle

Area of a semi-circle is half of the area of a circle

Area of the Rectangle

Determine the area of the shaded figure

Hence, the Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

From this theorem, we know that corresponding sides must be equal for those triangles to be congruent. Then, we get two equations

Let's start solving the equation for b.

We can start by subtracting 18 from both sides of the equation

Now, we can subtract b from both sides.

And finally, dividing both sides by 3 we have

Now we have our b value. b = 10. Now, let's calculate the value for c.

We can start by adding 22 to both sides of the equation

Now, we can just subtract c from both sides to get our value

Then, we have our c value, c = 20.

The population parameter is the average amount of time for all students to complete the standardized test. The 90% confidence interval [108.6, 143.4] means that we are 90% assured that the true population means lies within this range.

The population parameter in this case is the average amount of time, in minutes, for all students to complete the standardized test.

The interpretation of the 90% confidence interval [108.6, 143.4] is that we are 90% confident that the true population means that it falls within this interval. It means that if we were to repeat the sampling process multiple times and construct 90% confidence intervals, approximately 90% of these intervals would capture the true population mean. In this specific case, we can be 90% assured that the average time for all students taken to complete the standardized test must be between 108.6 and 143.4 minutes.

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We can use the M/M/1 queuing model to solve this problem.

(a) The arrival rate of customers is λ = 10 per hour, and the service rate of the teller is μ = 15 per hour (since the average service time is 4 minutes or 0.067 hours). Using the formula for the utilization factor, we have:

ρ = λ/μ = 10/15 = 0.67

(b) Using the formula for the average number of customers in the system, we have:

L = λ/(μ-λ) = 10/(15-10) = 2

(c) Using the formula for the average time spent by a customer in the system, we have:

W = 1/(μ-λ) = 1/(15-10) = 0.2 hours or 12 minutes

In summary, the utilization factor of the teller is 0.67, the average number of customers in the system is 2, and the average time spent by a customer in the system is 12 minutes. These results indicate that the bank is operating at a relatively high level of congestion, with customers experiencing a significant amount of waiting time.

One possible solution to this problem is to add another teller to the bank to increase the service rate and reduce the average waiting time for customers. Alternatively, the bank could implement a system for scheduling appointments or prioritizing certain types of transactions to better manage the flow of customers.

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The equation which can be used to find u, the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce is; u + ( u - 2 ) + ( u - 4 ) = 24.

It follows from the task content that the equation which represents Bert's spicy wing sauce situation be determined.

Since it is stated that the amount of hot sauce Bert's uncle uses is; u.

Hence, the amount of hot sauce used by Bert in the second batch is; ( u - 2 ) while the amount of hot sauce used in the third batch is; ( u - 4 ).

Therefore, it follows that the amount of hot sauce used by Bert's in the 3 batches are;

u, ( u - 2 ) and ( u - 4 ).

Hence, since Bert uses a total of 24 ounces of hot sauce, the required equation is;

u + ( u - 2 ) + ( u - 4 ) = 24.

Ultimately, the equation u + ( u - 2 ) + ( u - 4 ) = 24 best represents the situation and hence can be used to find u, the amount of hot sauce Bert's uncle while preparing each batch of spicy wing sauce.

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Step-by-step explanation:

then we do the multiplications and compare :

(x - p)² = q

x² - 2px + p² = q

x² - 2px + p² - q = 0

our target is

x² + 4x - 20 = -8

x² + 4x - 12 = 0

now we compare the variable expression with the target.

x² = x² check

4x = -2px

4 = -2p

p = -2

-12 = p² - q = 4 - q

-16 = -q

q = 16

so, we have

(x - -2)² = 16

(x + 2)² = 16

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

\( \frac{25}{5} = \frac{x}{4} = \frac{y}{3} \)

\( \frac{25}{5} = 5\)

so:

\( \frac{x}{4} = 5\)

x=5×4

x=20

and...

\( \frac{y}{3} = 5\)

y=3×5

y=15

Answer:

d= 106° e= 51° f= 59°

Step-by-step explanation:

d= 106° because it is an alternate interior angle (z angle)

e=51° because it is an alternate interior angle (z angle)

f= 59° because it is a corresponding angle ( F angle)

The problem at hand involves base plates that exceed the maximum width dimension, resulting in improper fitting of the mating component. To address this issue, a sample of 50 base plates manufactured from each of the four CNC milling machines was analyzed.

Graphical analysis of the data revealed insights into the problem. Recommendations for solving the problem include identifying pertinent possible solutions through cause and effect diagrams.

The analysis of the sample data from each CNC milling machine provides valuable insights into the issue of base plates exceeding the maximum width dimension. By graphically analyzing the data, patterns or variations can be identified, helping to pinpoint the specific source of the problem. This analysis may involve creating graphs or tables to visualize the measurements and compare them across the machines.

To identify possible solutions, cause and effect diagrams, such as fishbone diagrams, can be utilized. These diagrams help to identify potential causes of the issue by categorizing them into different categories such as machine factors, material factors, human factors, and environmental factors.

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The expected number of households that paid between $50 and $70 is

168,100.

As, z-score, also known as the standard score, is a statistical measure that represents the number of standard deviations a particular data point is away from the mean of a distribution.

The formula to calculate the z-score for a data point "x" in a distribution with mean "μ" and standard deviation "σ" is:

z = (x - μ) / σ

First, let's calculate the z-scores:

For $50:

z1 = (50 - 65.43) / 9.22

For $70:

z2 = (70 - 65.43) / 9.22

Using a standard normal distribution table

P(z < z1) = P(z < (50 - 65.43) / 9.22)

P(z < z2) = P(z < (70 - 65.43) / 9.22)

Let's denote these probabilities as p1 and p2, respectively.

So, Expected number = Total number of households * (p2 - p1)

Substituting the given values:

Expected number = 261,500 (p2 - p1)

Now, z1 = (50 - 65.43) / 9.22 = -1.6729

z2 = (70 - 65.43) / 9.22 = 0.4952

So, the corresponding probabilities:

P(z < -1.6729) ≈ 0.0475

P(z < 0.4952) ≈ 0.6879

Expected number = 261,500 (0.6879 - 0.0475)

Expected number ≈ 261,500 x 0.6404

Expected number ≈ 167,100

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The expected number of households is 168,100.

Option C is the correct answer.

We have,

To find the expected number of households that paid between $50 and $70, we need to calculate the z-scores for both values and then use the cumulative distribution function (CDF) of the normal distribution to find the probability.

Finally, we multiply this probability by the total number of households to get the expected number.

First, let's calculate the z-score for $50:

\(z_1\) = (\(x_1\) - μ) / σ

= (50 - 65.43) / 9.22

≈ -1.671

Next, let's calculate the z-score for $70:

\(z_2\) = (\(x_2\) - μ) / σ

= (70 - 65.43) / 9.22

≈ 0.495

Now, we can use the CDF to find the probability of the values falling between these z-scores.

\(P(X_1 < X < X_2) = P(z_1 < Z < z_2)\\= P(z < z_2) - P(z < z_1)\)

Using a standard normal distribution table or a calculator, we can find the corresponding probabilities:

P(z < -1.671) ≈ 0.0467

P(z < 0.495) ≈ 0.6868

Subtracting the two probabilities, we get:

P(-1.671 < z < 0.495) ≈ 0.6868 - 0.0467 ≈ 0.6401

Finally, we multiply this probability by the total number of households:

Expected number of households

= P(-1.671 < z < 0.495) * Total number of households

= 0.6401 * 261,500

≈ 167,587.15

Rounding this value to the nearest hundred, we get:

Thus,

The expected number of households is 168,100.

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Answer:

2.24/0.16

736.434 × 0.019011

Step-by-step explanation:

The above questions have a solution of 14.

Answer:

Write the mixed number as a decimal. 83/5

16.6

Answer:

It can be described as d. having no maximum and a minimum of 3.

Step-by-step explanation:

It can be described as d. having no maximum and a minimum of 3. The reason is because the dot is on 3, and doesn't have an arrow telling you that there is not minimum. The right has an arrow telling you that it doesn't have a maximum.

The confidence interval is from 3.44 to 4.06 minutes.

According to the statement

we have given that the mean length of songs is 3.75 minutes and standard deviation 0.5 minutes and the sample size n is 7. and the confidence interval is 90%

and we have to find the mean interval.

So, We know that the

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

And A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.

We know that the z value for 90% confidence interval is 1.64.

so, The formula to calculate margin of error is

MOE = Z*standard deviation/ (n)^1/2

put the values in it

MOE = Z*standard deviation/ (n)^1/2

MOE = 1.64*0.5/ (7)^1/2

MOE = 1.64*0.189

MOE = 0.310

And to find the interval the formula is

Confidence interval = sample mean ± margin of error

Confidence interval = 3.75 ± 0.310

Confidence interval = (4.06,3.44)

So, The confidence interval is from 3.44 to 4.06 minutes.

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Answer:

4

Step-by-step explanation:

4

The variable "Number of televisions in a household" is discrete among the given options. The least squares method minimizes the sum of the squared difference between the fitted value and the true value.

Discrete variable:

Among the given options, the "Number of televisions in a household" is a discrete variable. Discrete variables are those that take on a finite or countable number of distinct values. In this case, the number of televisions can only be a whole number (1, 2, 3, etc.), making it a discrete variable.

Least squares method:

The least squares method is used to fit a mathematical model to a set of data points by minimizing the sum of the squared differences between the fitted values and the true values. This means that it aims to find the line (or curve) that best represents the relationship between the variables by reducing the overall error.

Minimizing the sum of squared differences:

The least squares method minimizes the sum of the squared differences between the fitted value and the true value. By squaring the differences, it gives more weight to larger errors and effectively penalizes outliers more heavily. This approach helps to find the best-fitting line or curve that is closest to the actual data points.

In summary, the discrete variable among the given options is the "Number of televisions in a household." The least squares method minimizes the sum of the squared difference between the fitted value and the true value.

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Answer:

-5/3

Step-by-step explanation:

use grad formula (y2-y1)/(x2-x1)

Answer:

-3/5

Step-by-step explanation:

slope is rise over run

the rise from the first point to the second one is -3

the run from the first point to the second one is 5

Answer:

The total cost of the game is $23.60

Answer:

x=8

Step-by-step explanation:

the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.

4^2 = 2x

16=2x

16/2 =x

8=x

Answer:

Options (A), (B), (C) and (E).

Step-by-step explanation:

Option (A).

Slope of AC is equal to the slope of BC.

Since, points A, B and C are collinear points,

Slopes of AC and BC will be equal.

True.

Option (B).

Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.

True.

Option (C).

Points A and C are lying on line 't'.

Therefore, slope of line 't' and line AC will be equal.

True.

Option (D).

Slope of 't' = slope of line AC

                  = \(\frac{\text{Rise}}{\text{Run}}\)

                  = \(\frac{AE}{EC}\)

False.

Option (E).

Slope of line 't' = slope of line BD

                         = \(\frac{\text{Rise}}{\text{Run}}\)

                         = \(\frac{FB}{FD}\)

True.

Option (F).

Slope of line 't' = \(\frac{AE}{FD}\)

False.

The most appropriate model to represent the data in the table is (d)

From the question, we have the following parameters that can be used in our computation:

The table of values

In the above table of values, we can see that

To show as the number of miles change by day

A linear or line graph has to be plotted

Hence, the most appropriate model to represent the data is (d)

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To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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Let's plot the points (1,3) and (4, 6), as follows:

As you can see, we have:

x = 1, y = 3 as the first point we know.

x = 4, y = 6 as the second point we know.

We can replace y, with x + 2 (3 - 1 or 6 - 4),, therefore the equation of this line is:

x + 2 = y or x = y - 2 Any of these equations will solve the question A.

Answer:

Given below

Range: 9

Mean: 16

Hope it helps:)

Step-by-step explanation:

The data is given in the question

Range-

All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:

Range = Maximum Value–Minimum Value

= 21- 12

= 9

Mean-

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:

Sum of term/ number of terms = mean

= 17+21+14+17+12+15+16/7

= 112/7

= 16

The range and the mean of the given data are 9 and 16 respectively.

The range is the difference between the smallest and highest numbers in a list or set.

Given that, a data 17, 21, 14, 17, 12, 15, 16,

a) Range = The difference between the lowest and highest values

= 21-12

= 9

b) Mean = (sum of all data)/(number of data)

=  (17+ 21+ 14+ 17+ 12+ 15+ 16)/7

= 112/7

= 16

Hence, The range and the mean of the given data are 9 and 16 respectively.

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Using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

The average cost of tuition and fees at private nonprofit four-year colleges is $26,640 per year, with a standard deviation of $6,617. Assuming a normal distribution, let x represent the cost for a randomly selected college.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
Let's say we want to find the probability that x is more than $30,000.
Z = (30000 - 26640) / 6617
Z = 0.051
Using a Z-table or calculator, we can find the corresponding probability to be approximately 0.4801. This means that there is a 48.01% chance that the cost for a randomly selected college is more than $30,000.
In conclusion, using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

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Answer:

18

-9

30

Step-by-step explanation:

did on edge :)

Answer:

Evaluate the following numerical expressions.

6 + 3 • 4 =  18

(6 + 3) ÷ (4 – 5) = -9

6 + 23 • 3 = 30

Step-by-step explanation:

i took the test

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00

Answer:

4

Step-by-step explanation: