5. Explain how to determine which operation to complete first when simplifying the expression (15 ÷ 5+4²) − [4³ − |(13² + 2) ÷ (4 − 1)]. Be specific.​

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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The percent of fat calories an American consumes each day is normally distributed with a mean of 36 and a standard deviation of about 10.

Standard deviation is a measure of the spread of a data set. It is calculated by taking the square root of the variance of the data set. It is a measure of how much the individual values in a data set are spread out from the mean. It is used to quantify the amount of variation or dispersion of a set of data values.

According to the Central Limit Theorem, the mean of the sample X will be normally distributed with a mean of 36 and a standard deviation of 10/sqrt(20). This means that the mean percent of fat calories in the sample will be normally distributed with a mean of 36 and a standard deviation of about 3.16. This means that 68% of the time, the mean percent of fat calories in the sample will be between 32.84 (36-3.16) and 39.16 (36+3.16), 95% of the time it will be between 29.68 (36-6.32) and 42.32 (36+6.32), and 99% of the time it will be between 26.52 (36-9.48) and 45.48 (36+9.48).

In other words, this is happening because the Central Limit Theorem states that the sample mean will be normally distributed, and that the standard deviation of the sample mean will be the standard deviation of the population divided by the square root of the sample size. By understanding this theorem, we can calculate the probability that the mean of the sample will fall within certain ranges.

In conclusion, the percent of fat calories an American consumes each day is normally distributed with a mean of 36 and a standard deviation of about 10. By understanding the Central Limit Theorem, we can calculate the probability that the mean of the sample will fall within certain ranges. This allows us to make predictions about the sample mean and helps us understand why this is happening.

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The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.

1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.

2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.

3. To find the maximum height, we need to determine the vertex of the parabolic equation.

4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).

5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).

6. Simplifying the expression, we find x = 4.44.

7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.

8. Evaluating the expression, we find y ≈ 4.32.

9. The maximum height of the tent is approximately 4.32 feet.

10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.

11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.

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Answer:

24053

Step-by-step explanation:

Because its just simple we know that 889 times 27 already IS JUST 24003 So what we do is add fifty

HOPE THIS HELPS

Answer:

more

Step-by-step explanation:

there is one with three digits while the other one has two. All of the numbers are whole so the answer to the left will be greater than the one on the right

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

Answer:

there are 20 ways to roll so that the sum of the dice is lower than 7

Step-by-step explanation:

Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

12

Step-by-step explanation:

1) Divide both sides by 2.

\(x=\frac{24}{2}\)

2) Simplify \(\frac{24}{2}\) to 12.

\(x=12\)

Answer:

3164.56

Step-by-step explanation:

5*5*5*5(2*1000)/400-5

625(2000)/395

1250000/395

3164.56

Answer:

Step-by-step explanation:

183,883,72

Answer:

18388372

Step-by-step explanation:

1 )Use the algorithm method.

      3 2 1 7

×              5      7      1      6

        1      1       1      4                      

        1      9      3      0     2            

        3 2  1  7 0

  2 1  1     4  

  2 2 5    1       9      0     0

1  1     3

1  6 0 8   5       0      0     0

      1  1    1

1  8 3 8   8       3       7     2

2 )Therefore, 3217 × 5716 = 18388372.

18388372

Answer:

the probability that a randomly selected student received an A, B, or C is approximately 0.769, or about 76.9%.

Step-by-step explanation:

To find the probability that a randomly selected student received an A, B, or C, we need to add up the number of students who received each of these grades and divide by the total number of students in the class.

The total number of students in the class is:

total = A + B + C + D + E = 40 + 40 + 33 + 20 + 14 = 147

The number of students who received an A, B, or C is:

A + B + C = 40 + 40 + 33 = 113

Therefore, the probability that a randomly selected student received an A, B, or C is:

P(A or B or C) = (A + B + C) / total = 113 / 147 ≈ 0.769

So the probability that a randomly selected student received an A, B, or C is approximately 0.769, or about 76.9%.

Answer:

|NT| = 25

Step-by-step explanation:

The four sides of this square all have the same length.  Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5.  The length of NT is 5(x), or |NT| = 25.

Answer:

Step-by-step explanation:

Let's call the weight of Karen's package "w" in pounds.

For the first courier, the cost is given by:

Cost = 20 + 2w

For the second courier, the cost is given by:

Cost = 12 + 3w

We know that these costs are equivalent, so we can set them equal to each other:

20 + 2w = 12 + 3w

Simplifying this equation, we get:

8 = w

So the weight of Karen's package is 8 pounds.

To find the cost, we can plug this weight into either of the equations above:

For the first courier:

Cost = 20 + 2(8) = 36

For the second courier:

Cost = 12 + 3(8) = 36

So it will cost Karen $36 to deliver her package, and the weight of the package is 8 pounds.

The APR on Rico’s credit card is currently 24.6%. What is the monthly periodic rate? Answers in percent

Remember that APR -------> the annual percentage rate

thus

Divide 24.6% by 12 (number of months in one year)

so

24.6/12=2.05%

therefore

The perimeter of the semicircle is 6π

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

Diameter, d = 12 cm

The perimeter of the semicircle. is calculated as

P = πd/2

Substitute the known values in the above equation, so, we have the following representation

P = π * 12/2

Evaluate

P = 6π

Hence, the perimeter is 6π

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So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.

A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.

Here,

To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.

Rotation:

To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).

Translation:

To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).

To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.

Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

Answer:

there are 3 workers who earn $180 per day and 12 workers who earn $155 per day

Step-by-step explanation:

Let x be the number of workers who earn $180 per day and y be the number of workers who earn $155 per day.

From the problem statement, we know that:

The total number of workers is 15. Therefore, x + y = 15.

The total daily payroll is $2400. Therefore, 180x + 155y = 2400.

We now have a system of two linear equations with two variables:

x + y = 15

180x + 155y = 2400

We can solve this system by substitution or elimination. Here, we will use the substitution method.

From the first equation, we know that y = 15 - x. We can substitute this expression for y in the second equation:

180x + 155(15 - x) = 2400

Simplifying and solving for x, we get:

180x + 2325 - 155x = 2400

25x = 75

x = 3

We can now use this value of x to find y:

y = 15 - x = 15 - 3 = 12

Therefore, there are 3 workers who earn $180 per day and 12 workers who earn $155 per day.

Blueberry pies sold each day So, Least: 1, Greatest:8, Median(02):4,

Lower quartile(q1):3, Upper quartile(03):5.

When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right.

From the given data

The Least number is  1.

The greatest number is 8.

The Median(02) is  4.

Lower Quartile (Q1): 3

Upper Quartile (03): 5

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11.5, 10.5, 6.1 --> Yes, can form a triangle. 9.5, 3.5, 4.5 --> Yes, can form a triangle. 8, 6.7, 1 --> No, cannot form a triangle. 8, 6.7, 9.8 --> Yes, can form a triangle. 5, 6, 8 --> Yes, can form a triangle. 9.5, 7.5, 8.5 --> Yes, can form a triangle.

A triangle is a polygon with three sides and three angles. It is a two-dimensional figure with three straight sides that connect three vertices or corners. The sum of the interior angles of a triangle is always 180 degrees, and the exterior angles add up to 360 degrees. Triangles are classified based on the length of their sides and the measure of their angles, and they can be equilateral, isosceles, scalene, acute, obtuse, or right-angled. Triangles have many important properties and are used extensively in geometry and trigonometry.

Here,

Set 1: 11.5, 10.5, 6.1

To determine if these segments can form a triangle, we need to check if the sum of the two smaller sides is greater than the longest side:

10.5 + 6.1 = 16.6 > 11.5, so yes, this set of segments can form a triangle.

Set 2: 9.5, 3.5, 4.5

Again, we check if the sum of the two smaller sides is greater than the longest side:

3.5 + 4.5 = 8 < 9.5, so no, this set of segments cannot form a triangle.

Set 3: 8, 6.7, 1

Checking:

6.7 + 1 = 7.7 < 8, so no, this set of segments cannot form a triangle.

Set 4: 8, 6.7, 9.8

Checking:

6.7 + 9.8 = 16.5 > 8, so yes, this set of segments can form a triangle.

Set 5: 5, 6, 8

Checking:

5 + 6 = 11 < 8, so no, this set of segments cannot form a triangle.

Set 6: 9.5, 7.5, 8.5

Checking:

7.5 + 8.5 = 16 > 9.5, so yes, this set of segments can form a triangle.

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The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Step-by-step explanation:

The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].

Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.

Now we can apply the bisection method as follows:

Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.

Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.

Evaluate f© ≈ 1.765625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

We can continue this process until we reach the desired level of accuracy.

Answer: use the app: photomath

Step-by-step explanation:

Answer:

-4.25

Step-by-step explanation:

Answer:

-4.25

Step-by-step explanation:

absolute value is just distance from zero, so all you have to do is add the negative sign.

We conclude that the unit price is $0.103 per oz

The unit price is the price of a single unit.

Here we know that the 28 ounce jar of spaghetti sauce costs $2.89

The unit price would tell us the cost of a single ounce of sauce, to get that, we need to divide the cost for the jar by the number of ounces that it has, we will get:

$2.89/28 oz =  $0.103 per oz

We conclude that the unit price is $0.103 per oz

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In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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1. The mean age of the team is 21 years.

2. The age of the new player is 34 years

1. From the information, the following can be deduced:

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

Mean = Age × Frequency / Sum of frequency

= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

Sun of frequency = 2 + 3 + 1 + 4 + 1= 11

Mean(X) = 230 / 11

X = 21

The mean is 21 years.

2. A new player joins and raises it to 22 years. Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

The age is 34 years.

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Complete question

The table shows the ages of players on a football team.

Age

Frequency

a) Work out the mean age of the team.

Round your answer to 1 decimal place.

19

2.

20

3

21

1

b) A new player joins the team and raises

the mean age to 22.

22

4

23

1

Work out the age of this new player

Answer:

50

Step-by-step explanation:

Answer:

\(2\sqrt7,-2\sqrt7\)

Step-by-step explanation:

So we have the function:

\(f(x)=4x^2-6\)

And we want to find all x such that f(x) is 106. So, substitute 106 for f(x):

\(106=4x^2-6\)

Add 6 to both sides:

\(112=4x^2\)

Divide both sides by 4:

\(x^2=28\)

Take the square root of both sides:

\(x=\pm\sqrt{28}\)

Simplify the square root:

\(x=\pm\sqrt{28}=\pm\sqrt{4\cdot 7}=\pm2\sqrt7\)

So, those are the two values that will satisfy our requirement.

And we're done!

Answer:

n=9

Step-by-step explanation:

7n = 68

- 5

7n = 63

n =9

Answer:

Today: Friday, 06 November 2020

Hour: 09.41 WIB (Indonesia)

_______________________________

7n + 5 = 68

7n = 68 - 5

7n = 63

n = 63/7

n = 9