math is too hard for me help

Answer:

Step-by-step explanation:

a. 100 divided by 75 = 1.3333333333333333333333333333333

1.3333333333333333333333333333333 times 43 = 57.333333333333333333333333333332

round it to the nearest whole number: ≅ 57%

To represent the value of the bond after x years, we can use the function:f(x) = 100 * (1 + 0.04)^xwhere x is the number of years the bond has been held.The expression (1 + 0.04) represents the growth factor of the bond per year, since the bond grows in value by 4 percent each year. By raising this factor to the power of x, we obtain the cumulative growth of the bond over x years.Multiplying the initial value of the bond, 100$, by the growth factor raised to the power of x, gives us the value of the bond after x years. This is the purpose of the function f(x).

The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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The height of the water is increasing at the rate of 3 meters per minute.

We know that a cylindrical tank with radius r and height h has a volume of V = πr²h.

The rate at which the water is being filled in the tank is given as dV/dt = 2πr²( dh/dt).

On rearranging the above equation we get dh/dt = (dV/dt) ÷ (2πr²)

Given: Radius of the cylindrical tank, r = 3 m

Rate at which the water is being filled,

dV/dt = 54π cubic meters per minute.

we

Height of the cylindrical tank, h = ?

We need to find out how fast is the height of the water increasing.

This can be calculated using the formula.

dh/dt = (dV/dt) ÷ (2πr²)

Substitute the values of dV/dt  and r in the above formula,

we get,

dh/dt = (54π) ÷ (2π x 3²)

dh/dt = 54/18

dh/dt = 3 m/min

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the answer is 207 Remainder 1

Answer:

The slope is "m"

m= -5

Step-by-step explanation:

x-- Axis interception points of x- 2x - 4x +8 ( 8 over 5, 0)

y-- Axis interception points of x - 2x - 4x +8 (8,0)

x-2x-4x+8

y=-5x+8

2= 2

4=10

i cant see 6 or 8

The 4 in the hundredths place has a smaller value than the 4 in the tens place.

In the decimal number system, each digit to the left of the decimal point represents a power of 10, starting with 10^0 = 1 for the rightmost digit. Each digit to the right of the decimal point represents a negative power of 10, with the place value decreasing as you move farther to the right.

In the number 240.149, the 4 in the tens place represents 4 x 10 = 40. The 4 in the hundredth place represents 4/100 or 0.04, which is smaller than 40. Therefore, the 4 in the tens place has a greater value than the 4 in the hundredths place.

Hence, the value of a digit in a decimal number depends on its position relative to the decimal point. Digits to the left of the decimal point represent whole numbers, while digits to the right of the decimal point represent fractions or parts of a whole.


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If a sample of 50 items are chosen at random.  the probability that the sample mean length is greater than 9.1 inches is 0.0571, or 5.71%.

The sample mean of the 50 items follows a normal distribution with mean equal to the population mean (μ), and standard deviation  equal to σ/√n, where n is the sample size.

Substituting the given values, we have:

= μ = 9 inches

= σ/√n = 1/√50 inches

Now, we need to standardize the sample mean distribution to find the corresponding z-score using the formula:

z = (X- μX) / σX

Substituting the given values, we have:

z = (9.1 - 9) / (1/√50) = 1.58

The probability of getting a z-score of 1.58 or less is 0.9429. Therefore, the probability of getting a z-score of 1.58 or greater is:

P(z > 1.58) = 1 - P(z ≤ 1.58) = 1 - 0.9429 = 0.051

Therefore the probability that the sample mean length is greater than 9.1 inches is 0.0571.

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The longest side of a triangle with angles of 50°, 60°, and 70° and a length of 9 furlongs on the shortest side is approximately 12.2 furlongs.

             The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle are known (SAS) or the lengths of the three sides (SSS) are known.

         To calculate this, using the Law of Cosines formula,

  which is:

                [tex]c^2 = a^2 + b^2 - 2abcosC[/tex]

where c is the longest side, a is the shortest side, b is the other side of the triangle, and C is the angle

between a and b.

In this case, c = 12.2 furlongs,

                    a = 9 furlongs,

                    b is the side opposite the angle 70°, and C = 70°.

So the formula becomes:

        [tex]c^2 = 92 + b^2 - 2(9)(b)cos70^{o}[/tex]

Solving for b gives us b = 12.2 furlongs, which is the length of the longest side.

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Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We are given that V = 1607 and r = 4. We can plug these values into the formula and solve for h:

1607 = π(4^2)h

1607 = 16πh

h = 1607/(16π)

h ≈ 25.5

Therefore, the height of the cylinder is approximately 25.5 units. Note that we rounded the answer to one decimal place since the radius was given to one decimal place.

Answer:

The three correct ways to describe an angle with a measure of 13° are:

Thirteen degrees

An acute angle with a measure of 13°

An angle that is less than a right angle and has a measure of 13°

a = 5, b = 25, c = 0

step by step explanation:

Let the three numbers be a, b, and c. Then, we have the following system of equations:

a + b = c + 20 (1)

a + c = b + 30 (2)

b + c = a + 40 (3)

Adding all three equations together, we get:

2(a + b + c) = 90

Simplifying, we get:

a + b + c = 45

Now, using the hint given in the problem, we can write:

c = x - 10

b = a + 20

a + (a + 20) = (x - 10) + 30

Simplifying this equation, we get:

2a + 20 = x + 20

Solving for x, we get:

x = 2a

Substituting this value of x in the equation c = x - 10, we get:

c = 2a - 10

Now we can express b and c in terms of a:

b = a + 20

c = 2a - 10

Therefore, three numbers that satisfy the given conditions are:

a = 5, b = 25, c = 0

We can verify that the sum of any pair exceeds the third by the given amounts:

a + b = 30 > c + 20 = 20

a + c = 5 > b + 30 = 25

b + c = 15 > a + 40 = 45

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The equation that represents the situation is (4 + x) / (10 + 25 + x) = 0.25

Let's start by finding the amount of medicine in the original mixture before adding any pure medicine.

The amount of medicine in the 10 grams of 15% solution is

0.15 × 10 = 1.5 grams

The amount of medicine in the 25 grams of 10% solution is

0.10 × 25 = 2.5 grams

So the total amount of medicine in the original mixture is,

1.5 + 2.5 = 4 grams

Now let x be the amount of pure medicine added.

The total amount of medicine in the final mixture is,

4 + x

The total amount of solution in the final mixture is,

10 + 25 + x

So the concentration of the final mixture is,

(4 + x) / (10 + 25 + x)

We know that this concentration is 25%, so we can write:

(4 + x) / (10 + 25 + x) = 0.25

This is the equation that represents the situation.

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The given question is incomplete, the complete question is:

A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation that represents the situation

The length οf the hypοtenuse AC is 10 units.

In mathematics, a graph is a visual representatiοn οf data οr infοrmatiοn that cοnsists οf pοints, called vertices οr nοdes, and lines, called edges οr arcs, that cοnnect them.

Graphs are οften used tο represent relatiοnships between οbjects, events, οr quantities.

They can be used tο mοdel and sοlve prοblems in variοus fields, such as cοmputer science, engineering, ecοnοmics, and sοcial sciences. There are many types οf graphs, including bar graphs, line graphs, scatter plοts, pie charts, and netwοrk graphs, amοng οthers. Each type οf graph is suited fοr visualizing different types οf data οr relatiοnships.

Based οn the given diagram, we can use the Pythagοrean theοrem tο find the length οf the hypοtenuse AC οf the right triangle ABC:

[tex]AC^2 = AB^2 + BC^2[/tex]

Substituting the given side lengths, we get:

[tex]AC^2 = 6^2 + 8^2[/tex]

[tex]AC^2 = 36 + 64[/tex]

[tex]AC^2 = 100[/tex]

Taking the square rοοt οf bοth sides, we get:

AC = 10

Therefοre, the length οf the hypοtenuse AC is 10 units.

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Answer:

1. reduction

2.  scale factor of 1/2

Step-by-step explanation:

1. the second image is smaller than the original

2. 18*1/2= 9 and 6*1/2=3

The probability that the number of calls between 2:00 pm and 2:10 pm is exactly 200 is 0.000002204.

This can be calculated using the Poisson distribution. The Poisson distribution is used to model the probability of a given number of events occurring in a given time interval.

The Poisson equation is P(x) = (λ^x e^-λ)/x!

where λ is the expected number of occurrences per interval.
For this question, λ = 3/min, since the rate of calls to the computer software help desk is 3 per minute.
Plugging λ = 3/min into the Poisson equation, we get

P(x) = ((3/min)^200 e^-(3/min))/200!.
This simplifies to

P(x) = 0.000002204.

The probability of having exactly 200 phone calls to a computer software help desk in the 10-minute period from 2:00 pm to 2:10 pm is 0.000002204.
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a) Yes, the Cauchy-Schwarz Inequality holds for the given vectors and inner product. Since 74 ≤ 76.84, the Cauchy-Schwarz Inequality holds.

b) Yes, the triangle inequality holds for the given vectors and inner product. Since 20.25 ≤ 23.21, the triangle inequality holds.

Cauchy-Schwarz Inequality:

Using the given inner product, we have:

where ||u|| and ||v|| denote the norms of the vectors u and v, respectively.

We can calculate:

Then, applying the Cauchy-Schwarz Inequality, we have:

Triangle Inequality:

The triangle inequality states that for any vectors u, v, and w, we have:

Using the given vectors, we can calculate:

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The data should come from a binomial distribution. There should be no non-response or other forms of bias. The sample size should not be more than 10% of the population size, and the sample should be independent of one another.

When making inferences about one population proportion, the following assumptions need to be made:

Option 1: The sample is a simple random sample from the population.

Option 2: The sample size should be large enough so that both np ≥ 10 and n(1 − p) ≥ 10.

Option 3: The data comes from a binomial distribution.

Option 4: There is no non-response or other forms of bias.

Option 5: The sample size is no more than 10% of the population size.

Option 6: The sample is independent of one another.In order to make inferences about one population proportion, the assumptions mentioned above need to be made. It is vital to make sure that the sample is a simple random sample from the population, and that the sample size is large enough so that both np ≥ 10 and n(1 − p) ≥ 10.

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Every procedure that produces predictable results is considered an experiment, and the sample space (S) for an experiment is the collection of all possible results.

The possibility or chance that a particular occurrence will occur is expressed numerically as a probability. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.

Probability theory, a branch of mathematics, is concerned with the study of random events. A random occurrence can take on any number of distinct shapes, but its conclusion cannot be predicted before it occurs. The way things came out is thought to have been influenced by chance.

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Answer:

The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

Given the diameter of both the cylinder and the cone is 8 inches, the radius is 8/2 = 4 inches.

The volume of the cylinder is Vcyl = π(4)²(3) = 48π cubic inches.

The formula for the volume of a cone is V = (1/3)πr²h.

The volume of the cone is Vcone = (1/3)π(4)²(18) = 96π/3 = 32π cubic inches.

Therefore, the relationship between the volume of the cylinder and the cone is that the volume of the cone is exactly two-thirds of the volume of the cylinder.

We can see this by dividing the volume of the cylinder by the volume of the cone:

Vcyl/Vcone = (48π) / (32π) = 3/2

So, the volume of the cylinder is 1.5 times greater than the volume of the cone.

An exponential model for the worth of the savings account is [tex]W = 1250(1.045)^t[/tex]

The worth predicted by the exponential model is greater than predicted by the linear model at the end of 2020 by $131.2.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Where:

Based on the information provided about the savings account, we would determine the growth rate as follows;

[tex]W = P_{0}e^{rt}[/tex]

Growth rate, r = 1/(1 - 0)ln(1250/1306)

Growth rate, r = ln(1250/1306)

Growth rate, r = 0.0438

In the form [tex]W = a(b)^t[/tex], the required exponential function is given by;[tex]W = 1250(1.045)^t[/tex]

Years = 2020 -2010 = 10 years.

From the linear function, we have:

W = 56t + 1250

W = 56(10) + 1250

W = $1,810.

From the exponential function, we have:

[tex]W = 1250(1.045)^t\\\\W = 1250(1.045)^{10}[/tex]

W = $1,941.2

Difference = $1,941.2 - $1,810

Difference = $131.2.

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Step-by-step explanation:

2x + 2y  = 28   <=====given

x * y = 40     <===given .....  re-arrange to :

           y = 40 / x    <===substitute this 'y'  into the first equation

2x + 2 ( 40/x) = 28   <=====solve for x

2x^2 -28x + 80 = 0

x^2 -14x +40 = 0

(x -10)(x-4) = 0                        shows x = 10 or 4    then y = 4 or 10

dimensions    10    and 4   inches

Answer:

4 or 10 inches

Step-by-step explanation:

I added a photo of my solution

So, the system of equations solution is (x, y) = (-27/8, 31/4), and the value of y in this solution is 31/4, which is roughly 7.75. As a result, the answer is y = 31/4.

An equation is a statement in mathematics that states the equality of two expressions. An equation has two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine which variable(s) must be changed in order for the equation to be true. Simple or complex equations, regular or nonlinear equations, and equations with one or more elements are all possible. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are employed in a variety of mathematical disciplines, including algebra, calculus, and geometry.

the system of equations,

[tex]y = 1 - 2x\\2x - 3(1 - 2x) = -30\\2x - 3 + 6x = -30\\8x = -27\\x = -27/8\\2(-27/8) + y = 1\\-27/4 + y = 1\\y = 1 + 27/4\\y = 31/4[/tex]

So, the system of equations solution is (x, y) = (-27/8, 31/4), and the value of y in this solution is 31/4, which is roughly 7.75.

As a result, the answer is y = 31/4.

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Answer:

8.2mm

Step-by-step explanation:

Formula for area of triangle is 1/2 base x height

Since we are trying to find base, we must work in reverse.

19.68mm / 4.8 = 4.1mm (1/2 the base)
To find base we must multiply by 2

2 x 4.1mm = 8.2mm

Base = 8.2mm

A causal study is a study that seeks to determine whether one variable causes another variable.

The independent variable is the variable that is believed to cause the change in the dependent variable, while the dependent variable is the variable that is believed to be influenced by the independent variable.

In a causal study of the effect of shelf placement on sales of a brand of cereal, the independent variable is where the cereal was placed on the shelf. The dependent variable is sales of the cereal.

This is because the sales of the cereal are influenced by where it is placed on the shelf.The answer to the question is sales of the cereal.

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The measure of the larger acute angle of the triangle can be calculated using trigonometric ratios or by subtracting the measure of the smaller acute angle from 90 degrees. Without further information or given measurements, it is not possible to determine the exact measure of the angle.

Let's consider the general formula for a right triangle where A, B, and C are the angles and a, b, and c are the corresponding sides opposite to each angle:

sin A = a/c, sin B = b/c, and sin C = a/b.

For an acute triangle, we know that the sum of all the angles is equal to 180 degrees, so A + B + C = 180. If the triangle is a right triangle, then one of the angles, say C, is equal to 90 degrees, and A + B = 90 degrees.

In this case, we are only given that the angles of the triangle are acute. Therefore, we can use the formula sin A = a/c, sin B = b/c and sin C = a/b to solve for the angles or use the fact that A + B + C = 180 degrees and A + B = 90 degrees to find the measure of the larger acute angle by subtracting the measure of the smaller acute angle from 90 degrees. However, without specific measurements or additional information, we cannot determine the exact measure of the angle.

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The five-number summary for this data set is 36, 38.5, 50.5, 53, and 57, and the interquartile range is 14.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (50 + 51)/2 = 50.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (38 + 39)/2 = 38.5

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (53 + 53)/2 = 53

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 36

Lower quartile (Q1): 38.5

Median (Q2): 50.5

Upper quartile (Q3): 53

Maximum: 57

Interquartile range (IQR) = Q3 - Q1 = 53 - 38.5 = 14.5

the five-number summary for this data set is 36, 38.5, 50.5, 53, and 57, and the interquartile range is 14.5.

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