Please having a hard time these 3

Answer:

x ≤ - 2 ; 0 ≤ x ≤ 7    

Step-by-step explanation:

x ≤ - 2

0 ≤ x ≤ 7

The per capita GDP can be calculated by dividing the total GDP by the population.

$1.65 trillion (GDP) / 36,732,000 (population) = $45,073.58 (per capita GDP)

This means that, on average, each person in Canada has a GDP of $45,073.58. However, it's important to note that this number doesn't necessarily reflect the distribution of wealth within the country. It's just a way of measuring the overall economic output of a country on a per person basis.

Additionally, it's worth noting that this number only takes into account the GDP and population at the time of the calculation. The inflation rate of 2.5% would increase the GDP but not the population so it's not considered in this calculation

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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The probability that the next fruit out of the bag is an apple is P = 4/5

We want to fnind the probability of randomly selecting an apple from the bag, where we assume that all the fruits have the same probability of being randomly selected.

Remember that the probability is equal as the quotient between the number of apples and the total number of fruit on the bag.

Originally, there are:

The checkout person takes 2 plums and 1 peach, so now there are:

For a total of 4 + 1 = 5 fruits

Then the probability of randomly grabing an apple is:

P = 4/5

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The angle between the given vector and the positive direction of the x-axis is found by taking the inverse tangent of the vector components. The angle is equal to arctan(i/sqrt(15)) = 90°.

The angle between the given vector and the positive direction of the x-axis is found by taking the inverse tangent of the vector components. The angle is equal to arctan(i/sqrt(15)) = 90°.

90°

The angle between the given vector and the positive direction of the x-axis is found by taking the inverse tangent of the vector components. The angle is equal to arctan(i/sqrt(15)) = 90°.

The angle between the given vector with components i and sqrt(15) j and the positive direction of the x-axis is equal to arctan(i/sqrt(15)) = 90°. To calculate this angle, we take the inverse tangent of the components of the vector, which is equal to 90°. This angle is then rounded to the nearest degree, resulting in an angle of 90° between the two.

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Answer:

Step-by-step explanation:

Let's assume the number of soft-cover books Mrs. singh purchased as y.

let's assume the number of hard-cover books Mrs. singh purchased as x.

Total number of books purchased = 29 (given)

i.e. (hardcover books) + (softcover books) = 29

x + y = 29 ........................(i)

Total amount spent on books =  Rs.205.50

i.e. (cost of hardcover books) + (cost of softcover books) = 205.50

(price * no. of hardcover books) + (price * no. of softcover books) = 205.50

(11.50*x) + (3.50*y) = 205.50 ......................(ii)

from eq(i),

we find x,

x = 29-y

putting the value of x in eq(ii),

(29-y)11.50 + 3.50y = 205.50

333.50 - 11.50y + 3.50y = 205.50

8y = 128

y = 16

so, x = 29 - 16 = 13

Therefore, the number of soft cover books purchased by Mrs. Singh is 16 and the number of hardcover books purchased by Mrs. Singh is 13.

The surface area of the square pyramid shown is 466.56 in²

An equation is an expression showing the relationship between numbers and variables.

The shape shown is a square pyramid with 5 surfaces. The surface area is the sum of each individual area surface. It is given as:

Surface area = base² + 4(1/2 * base * height)

base = 10.8 in, height = 16.2 in, hence:

Surface area = 10.8² + 4(1/2 * 10.8 * 16.2) = 466.56 in²

The surface area of the solid is 466.56 in²

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Answer: 6.14for the tip

Step-by-step explanation:

Answer:

$6.14

Step-by-step explanation:

Well, first step is to divide 15.0% by $40.94.

Then you get 6.141

Translate that to money, rounding off, you get:

$6.14!

I hope this helps! Great to be of service to you!

the domain of the function 0≤x≤7.

What is the domain and range of function?

A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.

From the graph, the value of x varies from The x-values -7, -2, 5, and 7

So the domain of the function will be

0≤x≤7

Hence, the domain of the function 0≤x≤7.

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The next number in the sequence is 81.

The pattern in the list of numbers is that each number is the sum of the previous two numbers in the sequence. It is a Fibonacci sequence.

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1.

So, to find the next number, we add the two last numbers of the sequence:

50 + 31 = 81

Therefore, the next number in the sequence is 81.

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The given triangle is obtuse triangle according to the corollary to the converse of the Pythagorean Theorem.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The triangle's longest side measures 15 units in length.

Compare the sum of the squares on the other two sides to the square that is the length of the longest side.

The square of the longest side is 15², which equals 225.

9² + 10² = 181 square units make up the sum of the squares on the other two sides.

Thus, 181 < 15².

As a result, the triangle is an obtuse triangle according to the corollary to the converse of the Pythagorean Theorem.

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The number with the fewest  Decimal point will determine the number of significant figures in the calculated result.

The significant figures in the estimated result of an addition or subtraction calculation are determined by the decimal places of the measured values. This is so that the computed result can accurately reflect the precision of the measurement, which is shown by the decimal points in the measured values. Therefore, in the calculation with the fewest decimal places, the calculated result should have the same number of decimal places as the measured value. The result should have two decimal places, for instance, if one number has two decimal places and the other has four. By doing this, it is ensured that the result is not given a higher level of precision than the measured data utilized in the computation warrant.

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Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.

It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.

Using mathematical operations, Ara's remaining pounds of apples are 1.405 pounds.

The four basic mathematical operations are addition, subtraction, division, and multiplication.

In this situation, we applied the mathematical operations of multiplication, addition, and subtraction to determine the difference (or the quantity of apples left) between the quantity brought to the market and the quantity sold.

The total quantity of apples = 35¹/₂ pounds

The quantity sold in the morning = ¹/₂  of 35¹/₂ pounds = 17.75 pounds

The quantity sold in the afternoon = ⁴/₁₉ of 35¹/₂ pounds = 7.47 pounds

The quantity sold in the evening = ¹/₄ of 35¹/₂ pounds = 8.875 pounds

The total quantity sold = (¹/₂ + ⁴/₁₉ + ¹/₄) = ³⁶/₃₈ of 35¹/₂ pounds = 34.095 pounds

The remaining pounds of apples = 1.405 pounds (35.5 - 34.095)

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The correct option regarding the probabilities for Sandy's is given as follows:

A. Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

For the theoretical probability, the outcomes are considering without any experiment, while for an experimental probability the outcomes are taken from previous experiment.

This means that for a large number of trials, these probabilities should be very close, meaning that the correct option is given by option A.

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Its A...............

Step-by-step explanation:

We have a 95% confidence interval around the real average height of younger women being greater than that of older women.

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Area of the blue region = A - B = (2+ 2*√(2))/2 * (side length)^2 - 48 square units.

What is the area of congruent right triangles?

Two right-angled triangles are said to be congruent to each other if the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled triangle.

The blue region is a square, and the four red regions are congruent right triangles.

The blue square is formed by connecting the midpoints of the four sides of the octagon. Since it is an octagon, each of its angles is 135 degrees, and the four red regions are 45-45-90 triangles.

Thus the area of the blue region is equal to the area of the square which is (side length)^2.

The four red regions have a combined area of 124 = 48 square units.

Since the octagon is a regular polygon, all its sides are congruent.

The area of the octagon can be found by multiplying the square of the length of one side by (2+ 2√(2))/2.

If we call the area of the octagon A, and the area of the four red regions B then:

A = B + 4 * 12

Now we can solve for the area of the blue region (A - B)

Area of the blue region = A - B = (2+ 2*√(2))/2 * (side length)^2 - 48 square units

Since we know the area of the red regions we can find the area of the blue region.

Hence, the Area of the blue region = A - B = (2+ 2*√(2))/2 * (side length)^2 - 48 square units.

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Answer:

C. Angle Bisector Theorem

x = 5

PO = 34

Step-by-step explanation:

The theorem used is C: Angle bisector theorem

A can be eliminated because there is no midsegment here

B can also be eliminated - no perpendicular bisector

D relates to a median and there is no median here

C is the best choice. You can see in the figure that EO bisects ∠NEP.

Because of this angles ∠NEO  and ∠OEP are equal

That makes the triangles congruent since we have one common side and two angles that are equal to each other

Therefore PO = NO

8x - 6 = 6x + 4

8x - 6x = 4 + 6

2x = 10

x = 5

PO = 8(5) - 6 = 40 - 6 = 34

probabilities for choosing 2 marbles from a bag of 10 marbles is Dependent events

Given the following probabilities for choosing 2 marbles from a bag of 10 marbles are:-

P(blue) = 3/10, P(green) = 1/5, P(blue and green) = 3/100

We know the fact that two event are independents if we have following:-

P(X and Y) = P(X) times P(Y)

For this problem, we must have P(blue and green) = P(blue) times P(green).

P(blue and green) = (3/10) * (1/5) = 3/50

But given P(blue and green) = 3/100

Since we have 3/100 ≠ 3/50

Hence, the events are not independent events.

So, they are dependent events.

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Kevin hiked up Lamb's Canyon with the goal of making it to the top.

Let x be the distance Kevin hiked up the canyon.

For hiking: 3 hr = x / h

For running: 2 hr = (x + 1.8) / r

Solving the two equations for x yields:

x = (3h * r) / (h + r)

Therefore, Kevin hiked (3h * r) / (h + r) mi up the canyon.

Distance = (x mph) * (3 hr)

Distance = (x + 1.8 mph) * (2 hr)

(x mph) * (3 hr) = (x + 1.8 mph) * (2 hr)

Solving for x, we get x = 2.4 mph.

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The airplane will take 0.0095 seconds to cover 272 meters at a rate of 769 kilometers per hour, which is equivalent to 213.6 meters per second.

(272 m) / (769 km/h) x (1 h/3600 s) = 0.0095 s

1. Convert km/h to m/s: 769 km/h x (1000 m/1 km) x (1 h/3600 s) = 213.6 m/s

2. Divide the distance to travel (272 m) by the rate (213.6 m/s): 272 m / 213.6 m/s = 0.0095 s

The airplane's speed on this certain flight is 769 kilometers per hour. In order to calculate how long it will take to cover a distance of 272 meters, we must first convert the speed to meters per second. 769 kilometers per hour is equivalent to 213.6 meters per second. Once we have the rate, we can divide the distance by the rate, which is 272 meters divided by 213.6 meters per second. This calculation yields a result of 0.0095 seconds. Therefore, the airplane will take 0.0095 seconds to cover 272 meters.

The airplane will take 0.0095 seconds to cover 272 meters at a rate of 769 kilometers per hour, which is equivalent to 213.6 meters per second.

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The first five terms of the arithmetic sequence are given as follows:

3, -1, -5, -9, -13.

An arithmetic sequence is a sequence for which the difference between consecutive terms is constant, being called common difference d.

The recursive definition is given as follows:

f(n) = f(n - 1) + d.

For this problem, the definition is given as follows:

f(n) = f(n - 1) - 4.

Meaning that the common difference is of 4, and hence each term is obtained subtracting the first term by 4, starting with the first term given by f(1) = 3.

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The number of different votes that are possible are = 120

Permutation is defined as the expression that shows the number of ways a data can be arranged.

The permutation of the the list of 5 bands will determine the number of different votes that are possible which is as follows:

5!= 5×4×3×2×1 = 120

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There are no points along the curve that have a tangent line parallel to the chord through A and B.

1) The chord between points A and B is a straight line connecting those two points.

2) There are no points along the curve that have a tangent line parallel to the chord through A and B, since the chord is a straight line and the curve is curved.

1) To draw the chord between points A and B, you must use a straight line to connect those two points.

2) Since the chord is a straight line and the curve is curved, there are no points along the curve that have a tangent line parallel to the chord through A and B.

To draw the chord between points A and B, draw a straight line connecting those two points. However, since the chord is a straight line and the curve is curved, there are no points along the curve that have a tangent line parallel to this chord. This is due to the fact that tangent lines only exist at points where the curve changes direction, and the chord is a straight line, not affected by the curvature of the curve. Therefore, there are no points along the curve that have a tangent line parallel to the chord through A and B.

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The measure of hypotenuse of the triangle whose sides are given would be = 17.80cm

The formula used to calculate the hypotenuse of a triangle is the Pythagorean formula= C²= a² + b²

Where c = hypotenuse = ?

a² = 11 cm

b² = 14 cm

Substitute the given values into the formula to find hypotenuse.

c² = 11² + 14²

c² = 121+196

c² = 317

C = √317

C = 17.80cm.

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Complete question:

One of the legs of a right triangle measures 11 cm and the other leg measures 14 cm.

Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

This suggests that the majority of the team members have an average weight of between 90 and 100 lbs.

1. A box plot is a chart that displays the distribution of a dataset by showing the median, quartiles, and extremes of the data.

2. In this box plot, the middle 50% of the weights for the team members range from 90 to 100.

3. This means that the majority of the team members have an average weight of between 90 and 100 lbs.

The box plot shows that the majority of the team members have an average weight between 90 and 100 lbs.

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The Gini coefficients for countries A and B are 0.25 and 0.30, respectively. This situation is justified by the option E: None of the above.

What is Gini coefficient?

The Gini coefficient, commonly referred to as the Gini index or Gini ratio, is a measure of demographic distribution used in economics to estimate the average income of a population. The most often used method for estimating inequality is the Gini coefficient.

The Italian statistician and sociologist Corrado Gini is honoured as the creator of the Gini Coefficient.

If everyone has the same wealth or income, then a Gini coefficient of 0 implies complete equality, whereas a value of 1 indicates perfect inequality (that is, where one person owns all the wealth in a country).

For most nations, the value actually ranges between 0 and 1. It would be close to 1 in nations with significant levels of inequality.

The options are -

The lowest 20 percent family income groups in A and B receive 25 percent and 30 percent of total income, respectively.

The lowest 50 percent family income groups in A and B receive 25 percent and 30 percent of total income, respectively.

The lowest 20 percent family income group receives a greater share of total income in country A than in country B.

The lowest 20 percent family income group receives a greater share of total income in country B than in country A.

These all are incorrect as for country A, 0.25 Gini coefficient means that the 25% of the country's population has all the wealth and for country B, 0.30 Gini coefficient means that the 30% of the country's population has all the wealth.

Therefore, none of the options justify the answer.

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The Gini coefficients for countries A and B are 0.25 and 0.30, respectively. We can definitely conclude that

a) the lowest 20 percent family income groups in A and B receive 25 percent and 30 percent of total income, respectively.

b) the lowest 50 percent family income groups in A and B receive 25 percent and 30 percent of total income, respectively.

c) the lowest 20 percent family income group receives a greater share of total income in country A than in country B.

d) the lowest 20 percent family income group receives a greater share of total income in country B than in country A.

e) none of the above

The area of this inscribing circle is 36π cm².

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If side has a length a then diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

We know area of a square is side².

Given, The area of this square is 144 cm².

We know 12×12 is 144.

Therefore, The length of the sides of this square is 12 cm.

We know a circle inscribed in a square has a diameter that is equal to the side of a square.

Therefore, The diameter of this circle is 12 and hence radius is 12/2 = 6 cm.

We also know that the area of a circle is πr².

Therefore, The area of this circle is π(6)² cm².

= 36π cm².

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The product of 7 and ⁵/₈ is less than 7 because ⁵/₈ is less than 1

We want to find the product of 7 and ⁵/₈.

Now, this will be expressed as;

7 * ⁵/₈.

Now, we are multiplying a whole number by a proper fraction that is less than 1 and as such, it means that the product will be lesser than 7 simply because ⁵/₈ is less than 1.

Thus;

7 * ⁵/₈ = 35/8

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