Mr Chopra wants to put a wooden border around a painting. If the length of the painting is 40 cm and its breadth is 25 cm, what will be the cost of putting the border at * 40 per m?​

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Regular expressions for the given sets of binary strings: 1. All binary strings except empty string: `1+0*` 2. Begins with 1 and ends with 1: `1(0|1)*1` 3. Ends with 00: `(0|1)*(00)` 4. Contains at least three 1s: `(0*10*){3,}`

The regular expressions for the given sets of binary strings are as follows:
1. All binary strings except the empty string:
  - Regular expression: `1+0*`
  - Explanation: The regular expression `1+0*` matches any binary string that starts with one or more 1s, followed by zero or more 0s. This ensures that the empty string is not included.

2. Binary strings that begin with 1 and end with a 1:
  - Regular expression: `1(0|1)*1`
  - Explanation: The regular expression `1(0|1)*1` matches any binary string that starts with 1, followed by zero or more occurrences of either 0 or 1, and ends with 1.

3. Binary strings that end with 00:
  - Regular expression: `(0|1)*(00)`
  - Explanation: The regular expression `(0|1)*(00)` matches any binary string that contains zero or more occurrences of either 0 or 1, followed by 00 at the end.

4. Binary strings that contain at least three 1s:
  - Regular expression: `(0*10*){3,}`
  - Explanation: The regular expression `(0*10*){3,}` matches any binary string that contains three or more occurrences of the pattern 0*10*, where 0* matches zero or more 0s and 1 matches a single 1.

These regular expressions provide a clear and concise way to match the specified sets of binary strings using basic operations such as concatenation, alternation, and repetition. It's important to note that there may be other valid regular expressions that can also match the given sets of strings.

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To find the points where the height of the Gateway Arch is 100 meters, we need to solve the equation y = 100 for x.

Substituting y = 100 into the equation for the central curve of the arch, we get:

100 = 211.49 - 20.96 cosh (0.03291765x)

Rearranging the equation, we get:

cosh (0.03291765x) = (211.49 - 100) / 20.96

cosh (0.03291765x) = 5.21

Taking the inverse hyperbolic cosine of both sides, we get:

0.03291765x = acosh(5.21)

x = (1/0.03291765) acosh(5.21)

Solving for x using a calculator, we get:

x = ± 64.975

Therefore, the height of the Gateway Arch is 100 meters at the points (64.975, 100) and (-64.975, 100).

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Answer:

Slope: -6 Y-intercept: -4

Step-by-step explanation:

You have to put the 4 on the same side as the expression so that y-6x-4=0 so the -6x is the slope and the -4 is the y-int because of y=mx+b

Answer:

Steve was correct in his statement.

Step-by-step explanation:

According to standard notation, opening bracket ( \([\) ) represents the lower bound of a set so that elements of the set are equal or greater than lower bound. In addition, closure parenthesis ( \()\) ) represents the upper bound of a set so that element of the set are less than upper bound.

In consequence, Steve was correct in his statement.

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

false it can be in any order but must be according to the set of data

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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True. Statistical inference involves drawing conclusions about a population based on sample data, using statistical techniques such as hypothesis testing and confidence intervals.

Statistical inference is a fundamental concept in statistics that allows us to make inferences or draw conclusions about a population based on a sample. It involves applying statistical techniques to analyze sample data and make generalizations or predictions about the larger population from which the sample was drawn.

By using methods like hypothesis testing and confidence intervals, statistical inference helps us estimate population parameters, test hypotheses, and assess the reliability of our findings. Through the process of sampling and applying statistical techniques, we aim to draw meaningful conclusions about the characteristics, relationships, or effects within a population.

Therefore, it is accurate to say that statistical inference involves making generalizations about the population based on sample data, allowing us to make informed decisions and draw meaningful insights from limited observations.

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Each person will pay $49.056. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Amount of bill = $124.72

and tip they left = 18% of $124.72

total amount is =$124.72 + $124.72*18%=$147.1696

so, each person pay= $147.1696/3=$49.056

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If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

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This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.

The probabilities are:

P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8

Conditional probability:

In this problem, conditional probability concepts are used, and for this, we have that:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

P(A)

At the first node, we have that:

P(A) = 0.7

P(A and B):

From the first node, we have that \(P(A) = 0.7\)

From A to B, there is 0.2, which means that \(P(B|A) = 0.2\)

Thus

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

\(0.2 = \frac{P(A \cap B)}{0.7}\)

\(P(A \cap B) = 0.7*0.2 = 0.14\)

So

P(A and B) = 0.14

P(B):

P(B) = P(A and B) + P(not A and B).

P(not A) = 0.3, P(B|not A) = 0.4, then:

\(P(not A and B) = 0.3*0.4 = 0.12\)

P(B) = 0.14 + 0.12 = 0.26

P(A or B)

We have that:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

We already have the three of them, so just replace:

\(P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82\)

Then

P(A or B) = 0.82

P(not B given A)

If A happens, either B happens, or it does not. That is:

P(B|A) + P(not B|A) = 1

Since P(B|A) = 0.2

P(not B|A) = 1 - 0.2 = 0.8

Then

P(not B given A) = 0.8

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Answer:

1 freedom of speech

2 bear arms mean that i can own and carry a gun to protect me, myself and my property.

3 search warent

4 the tar and feather used on blacks.

5 fouth

6 it is passed down to mayors

7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.

sorry bout my bad grammer

Step-by-step explanation:

Answer:

k = 14

Step-by-step explanation:

Prime factorize 32

32 = 2 * 2 * 2 * 2 * 2  = 2⁵

\(\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}\)

Both sides base are same.So, compare exponents

\(12-\frac{k}{2}=5\\\)

Subtract 12 from both side

\(-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\\)

Multiply both sides by (-2),

\((-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14\)

Answer:

c

Step-by-step explanation:

Answer:

B. Y = 1.5x

Step-by-step explanation:

The information is not enough to prove that triangles DEF and OPQ are congruent through SAS, as we need two equal side lengths and one angle measure.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The parameters given for this problem are given as follows:

As we are given only one side, instead of the two sides needed, we have that the information given is not enough to prove that the two triangles are congruent by the SAS congruence theorem.

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Answer:

She needs 15/2 cups of flour.

Step-by-step explanation:

x+2 1/2=10

2 1/2=5/2

x+5/2=10

x=10-5/2

x=20/2-5/2=15/2

The measure of the length of BC from the expression is 8

The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Given the following segments

AB = 7

AD = 25 and:

CD = 10

Using the addition postulate below:

AB+BC+CD = AD

Substitute the given parameters

7+BC+10 = 25

17+BC = 25

Subtract 17 from both sides

17+BC-17 = 25 - 17

BC = 8

Hence the measure of the length of BC from the expression is 8

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The discount price at each store will depend on the regular price and the amount of the discount offered, and it is not possible to determine which store will have the lower discount price without knowing these factors.

It is not necessarily true that the discount price at store M will be less than the discount price at store L. The relative discount prices will depend on the amount of the discount applied by each store.

For example, let's say that the regular price of the product at store L is $100 and the regular price at store M is $120. If store L offers a 20% discount, the discount price would be $80.

If store M offers a 15% discount, the discount price would be $102. Therefore, in this case, the discount price at store L is less than the discount price at store M.

On the other hand, if store L offers only a 10% discount, the discount price would be $90. In this case, the discount price at store M would be less than the discount price at store L.

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Answer:

What grade is this?

Step-by-step explanation:

Answer:

122-180=68

90+68+X=98

180-98=82

X=82

Step-by-step explanation:

hope this helps

First we need to differentiate y

\(\\ \sf\Rrightarrow \dfrac{dy}{dx}\)

\(\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)\)

\(\\ \sf\Rrightarrow -32x-110\)

Now let it be 0

\(\\ \sf\Rrightarrow -32x-110=0\)

\(\\ \sf\Rrightarrow -32x=110\)

\(\\ \sf\Rrightarrow x=|110/-32\)

\(\\ \sf\Rrightarrow x=3.44s\)

Put it in y

\(\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2\)

\(\\ \sf\Rrightarrow y=204.05ft\)

Answer:

I.  most probably

Hope it helps!!!

Step-by-step explanation:

1) The polynomial of the given equation (5 + 5n^3) - (1 - 3n^3) is \(8n^{3} + 4\\\).

To find the answer we will first arrange each polynomial with the term with the highest degree first then in decreasing order of degree, then group the like terms and lastly we will simplify by combining like terms.

= (5 + 5n^3) - (1 - 3n^3)

= \(5 + 5n^{3} - 1 + 3n^3\)

= \(5n^3 + 3n^3 +5 -1\\\)

= \(8n^{3} + 4\\\)

So, the answer is \(8n^{3} + 4\\\).

2) The polynomial of the given equation  (6a - 3a^2) + (2a^2 - 3a) is \(-a^2 + 3a\).

To find the answer we will first arrange each polynomial with the term with the highest degree first then in decreasing order of degree, then group the like terms and lastly we will simplify by combining like terms.

=  (6a - 3a^2) + (2a^2 - 3a)

= \(6a - 3a^2 + 2a^2 -3a\\\)

= \(-3a^2 + 2a^2 +6a - 3a\)

= \(-a^2 + 3a\\\)

So, the answer is \(-a^2 + 3a\\\\\).

3) The polynomial of the given equation (x^2 - x) + (8x - 2x^2) is  \(-x^2 +7x\\\).

To find the answer we will first arrange each polynomial with the term with the highest degree first then in decreasing order of degree, then group the like terms and lastly we will simplify by combining like terms.

= (x^2 - x) + (8x - 2x^2)

= \(x^2 - x + 8x - 2x^2\)

= \(x^2 - 2x^2 -x + 8x\\\)

= \(-x^2 +7x\)

So, the answer is \(-x^2 +7x\).

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When a cylinder vessel is filled with water to some height and a rectangular solid is immersed in it, the rise in water level is 1.25cm.

The rise in water level in the cylinder vessel can be found by calculating the volume of the rectangular solid and dividing it by the base area of the cylinder vessel.

The volume of the rectangular solid is given by the product of its dimensions, which is 22 cm × 7 cm × 5 cm = 770 cm³.

The base area of the cylinder vessel is given by πr², where r is the radius of the base, which is 14 cm. Therefore, the base area of the cylinder vessel is π × 14² = 616 cm².

The rise in water level is given by the volume of the rectangular solid divided by the base area of the cylinder vessel, which is 770 cm³ / 616 cm² = 1.25 cm. Therefore, the rise in water level is 1.25 cm.

Note: The question is incomplete. The complete question probably is: A cylinder vessel of base radius 14 cm is filled with water to some height.  If a rectangular solid of dimensions 22 cm X 7 cm X 5 cm is immersed in it what is the rise in water level?

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a) The length and width of the smaller rectangle wall (in blue colour) are 14 feet and 8 feet respectively.

b) Area of smaller wall of room is 112 ft².

c) Area of larger wall of room is 160 ft².

d)The total area of the four walls in the room is 544 ft².

e) Total cost of painting the room walls with two coats of paint is $ 146.

f) In thousand btus, 6000 btus sized air conditioner would this room require.

We have, a rectangular room 14 feet by 20 feet, ceiling is 8 feet high. See the above figure,

a) The blue is smaller wall (rectangle ) and brown is the largest wall.

Length of smaller wall ( in blue colour)

= 14 feet

Width of smaller wall = 8 feet

b) Area of rectangle is product of length and width of rectangle. So, Area of smaller wall(in blue colour) = 8 × 14

= 112 ft²

c) For Larger wall (in brown colour)

length = 20 feet and width = 8 feet

So, Area of larger wall = 8× 20 = 160 ft².

d) Total area of the four walls in the room = 2 ( area of smaller wall ) + 2 ( area of larger wall) = 2( 112) + 2( 160) = 224 + 320 = 544 ft².

e) The cost of one gallon of paint

= $36.50

One gallon paint covered approx. 350 square feet. Also, it is said that painting the room walls with two coats of paint that is painting become double = 2× 544 = 1088 ft²

Now, how many 350 ft² area are formed in 1088 ft² = 1088/350 = 3.108 ~ 4 ( because we can only buy a full gallon of paint not 0.1 gallons etc.).

Cost of painting the 350 ft² area = $36.50

Total cost of painting the room walls with two coats of paint i.e., 1088 ft² = 4× $36.50 = $ 146..

f) Now, we have this room is well-insulated and is on the north side of the house. To determine the size of air conditioner we need some parameters of room. If the room is well-insulated, then the level of insulation is 10 and if the room is poorly insulated, then the level of insulation is 18. In this case the level of insulation is 10, i = 10. If the room faces north, then the exposure is 16. In this case, the room faces north and thus the e = 16. We can then determine the BTU rating. BTU rating = (w×h×i×l×e)/60

= (14 x 8 x 10 x 20 × 16)/60

= 358, 400/60

= 17,920/e = 17,920/16

≈ 5,973 ~ 6000

Hence, required air conditioner size is 6,000.

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Answer:

4

Step-by-step explanation:

If the tape is 12m,

she hung the tape in between every 3m, and at both ends

0, 3, 6, 9, 12

these are the lengths she hung ribbons at

Total number of ribbons = 4

A is correct

Answer:

x=-2

Step-by-step explanation: