The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points ​(5​,​100) and ​(7​,140​) to find the number of soda bottles the machine can make each minute.

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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Answer: X = 17

Step-by-step explanation:

8.75 + 1.95x = 41.9

1.95x = 41.9 - 8.75

1.95x = 33.15

x = 33.15/1.95

x = 17

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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The solution to the system of equations 9x - 3y = 5 and 2x - 3y = 7 is (-2/7, -53/21)

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

Given the equations:

9x - 3y = 5     (1)

2x - 3y = 7     (2)

To solve by elimination method, subtract equation 2 from 1, hence:

7x = -2

Dividing by 2:

x = -2/7

Put x = -2/7 in equation 2:

2(-2/7) - 3y = 7

y = -53/21

The solution is (-2/7, -53/21)

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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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According to the information, the probability that the next pice of fruit out of the bag will be an apple is 0.66.

To calculate the probability that the next piece of fruit out of the bag will be an apple we have to perform the following mathematical operation:

We have to calculate how many fruits there are in the bag.

So, we have 4 apples and 2 peaches, so we have 6 fruits in total. Now, we have to divide the number each fruit in the bag by the total number of fruits as shown.

4 / 6 = 0.66

2 / 6 = 0.33

According to the above, the probability that the next pice of fruit out of the bag will be an apple is 0.66.

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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.

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.

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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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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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!

Answer:

|-28|

Step-by-step explanation:

-28 is the least value in the expression given

Answer:

The exponential model representing the amount of Iodine-125 remaining in the tumor after t days would be:

Iodine-125(t) = 0.6 * e^(-0.0115t)

To find the amount of Iodine-125 that would remain in the tumor after 60 days, we would plug in t = 60 into the model:

Iodine-125(60) = 0.6 * e^(-0.0115(60))

= 0.6 * e^(-0.69)

= 0.6 * 0.5032

= 0.3019

So after 60 days, there would be approximately 0.3019 grams of Iodine-125 remaining in the tumor.

If I helped you, could you please make my answer best?

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 result of [tex]$53\cdot\left(3\frac{1}{5} - 4\frac{1}{2}\right) \div \left(2\frac{3}{4} - 1\frac{2}{3} \right)$[/tex] is[tex]$-56\frac{13}{20}$[/tex]

A mixed number is a combination of a whole number and a fraction, like [tex]3\frac{1}{2}[/tex], expressing numbers greater than one whole unit. It can be converted to an improper fraction.

To find the solution of [tex]$53\cdot\left(3\frac{1}{5} - 4\frac{1}{2}\right) \div \left(2\frac{3}{4} - 1\frac{2}{3} \right)$[/tex]

We can first simplify the inner parenthesis

[tex]$53\cdot\left(3\frac{1}{5} - 4\frac{1}{2}\right)=53\cdot(-1\frac{1}{10})=-53\frac{11}{10}$[/tex]

Then simplify the denominator, The denominator is the bottom part of a fraction, which represents the total number of parts in the whole. It is used to indicate the size of the fraction's unit or whole. It is also used to divide the numerator (top part of a fraction) by in order to determine the fraction's value.

[tex]$2\frac{3}{4} - 1\frac{2}{3} = \frac{11}{4} - \frac{5}{3} = \frac{44}{12} - \frac{20}{12} = \frac{24}{12} = 2$[/tex]

Now we can divide -53 and 11/10 by 2

[tex]$-53\frac{11}{10} \div 2 = -53\frac{11}{20} = -\frac{1133}{20} = -56\frac{13}{20}$[/tex]

So, the answer is [tex]$-56\frac{13}{20}$[/tex]

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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 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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The rate at which the candle burns is 1.5 inches per hour.

We know that the proportional relation between the number of inches that the candle has burned away, b, and the time in hours, t, is:

b = 1.5*t

The rate at which the candle burns is the amount burned in one unit of time, in this case, hours, then:

So, after t = 1 (one hour)

b = 1.5

In one hour, the candle burns 1.5 inches.

That is the rate at which the candle burns, it should be written as:

rate = 1.5 inches burned per hour.

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Answer:

x ≤ - 2 ; 0 ≤ x ≤ 7    

Step-by-step explanation:

x ≤ - 2

0 ≤ x ≤ 7

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 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:

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 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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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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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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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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Answer:

y intercepts : (0, -5)

Step-by-step explanation:

Answer:

(0,-5)

Step-by-step explanation: