How do you write 3/7 in the lowest terms (please Help)

Investor purchased 50 shares of stock in a company for $40.

So, the total initial amount he invested is

Then the rate of return is:

So, the requied rate of return is 10.0%.

Answer:

Step-by-step explanation:

4

The standard deviation of the sampling distribution of the sample proportion can be calculated using the formula: σp = sqrt[p(1-p)/n]

where p is the expected proportion of red blossoms in the hybrid plants, n is the sample size, and sqrt represents the square root.

Here, p = 0.15, n = 50, and the sample proportion of red blossoms is 0.22.

So, the standard deviation of the sampling distribution of the sample proportion is:

σp = sqrt[(0.15)(1-0.15)/50]

= sqrt[(0.1275)/50]

= 0.051

Therefore, the standard deviation of the sampling distribution of the sample proportion is approximately 0.051.

Answer options B, 0.051, is the correct answer.

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Answer:

y = 21/17

Step-by-step explanation:

Can I have brainliest pls?

1. Using the mathematical operations of addition and multiplication, the number of polka dots that are in Polly's room is 130.

2. An expression representing the situation and solution is x + 2y + 4z + 15.

An expression is a mathematical statement combining variables, constants, numbers, and values with mathematical operands.

The mathematical operands for performing mathematical operations include addition (+), subtraction (-), multiplication (x), and division (÷).

The number of polka dots on the bedspread, x = 25

The number of polka dots on two pillows, 2y = 10 (5 x 2)

The number of polka dots on 4 sets of curtains, 4z = 80 (4 x 20)

The number of polka dots on 3 rugs = 15

The total number of polka dots in Polly's room = 130

Let x = 25, y = 5, and z = 20

x + 2y + 4z + 15

x + 2y + 4z + 15

= 25 + 2(5) + 4(20) + 15

= 25 + 10 + 80 + 15

= 130

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The general solution to the differential equation. If initial conditions are given, we can solve for the constants C1 and C2.

The given differential equation is:

y ln x * (dx/dy) = [(y+1)/x]^2

We can solve this equation by separation of variables, which means we can rearrange the equation so that all the x terms are on one side and all the y terms are on the other side. Then, we can integrate both sides with respect to their respective variables.

First, we rewrite the equation in a form suitable for separation of variables:

y ln x dx = [(y+1)/x]^2 dy

Next, we separate the variables and integrate both sides:

∫y ln x dx = ∫[(y+1)/x]^2 dy

Integrating the left-hand side by parts, we have:

u = ln x dv = y dx

du/dx = 1/x v = (1/2) y^2

∫y ln x dx = (1/2) y^2 ln x - ∫(1/2) y dx

= (1/2) y^2 ln x - (1/4) y^2 + C1

where C1 is the constant of integration.

Integrating the right-hand side, we use the substitution u = y+1:

u = y+1 du = dy

∫[(y+1)/x]^2 dy = ∫(u/x)^2 du

= (1/x^2) ∫u^2 du

= (1/3x^2) u^3 + C2

where C2 is the constant of integration.

Substituting this back into the original equation, we have:

(1/2) y^2 ln x - (1/4) y^2 + C1 = (1/3x^2) (y+1)^3 + C2

This is the general solution to the differential equation. If initial conditions are given, we can solve for the constants C1 and C2.

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The margin of error for the 92.5% confidence interval to measure the population estimate is 0.0349 .

We have the following confidence interval of proportions in a sample of n people who were polled, with a success probability of and a confidence level of.

In which n = 515

z is the z-score that has a p-value of 1 - 92.5 = 7.5

The margin of error is of:

80 of the 515 participants in a clinical trial exhibited improvement after the treatment.

This means that

92.5% confidence level

So , z is the value of Z that has a p-value of , so .

Margin of error:

\(Z_{\frac{\alpha}{2}}\cdot \sqrt{\frac{p(1-p)}{n} }\) = 0.0349

The margin of error for the 92.5% confidence interval used to estimate the population proportion is of 0.0349 .

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

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well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

The statement "x ∈ {x}" is true. The statement "{x} ⊆ {x}" is true. The statement "{x} ∈ {x}" is false. The statement "{x} ∈ {{x}}" is true.

a) The statement is true because an element x can be a member of a set that contains only itself. In this case, the set {x} contains the element x.

b) The statement is true because every element in {x} is also in {x}. Since both sets are identical, {x} is a subset of itself.

c) The statement is false because a set cannot be an element of itself. In this case, {x} is a set, and it cannot be an element of the same set.

d) The statement is true because the set {{x}} contains the set {x} as its only element. Therefore, {x} is an element of the set {{x}}.

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Answer:

80

Step-by-step explanation:

89^2-39^2=6400, 6400=80^2

Given parameters:

Measure of Angle R = 47°

Operation on the angle; rotated through 180°

Unknown:

what is angle R now= ?

Solution:

    Angle R was originally an acute angle which was 47°;

 And an additional 180° rotation will produce;

  New Angle R  = 47 + 180 = 227°

The new dimension of the angle is 227°

By answering the presented question, we may conclude that Therefore, equation Lucas ran 12 laps.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

If the ratio of the number of laps Stew ran to the number of laps Lucas ran was two to three, we can set up a proportion:

2/3 = 8/x

2x = 3(8)

2x = 24

x = 12

Therefore, Lucas ran 12 laps.

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the effective annual growth rate is 6.79% per year.

For each of the scenarios described, we can calculate the effective annual growth rate as follows:

A quantity's size after t years is given by A(t) = (1.075)^t. Its effective growth rate is % per year.

To find the effective annual growth rate, we need to solve the equation (1 + r)^1 = 1.075, where r is the annual growth rate.

Solving for r, we have r = 0.075 or 7.5%.

Therefore, the effective annual growth rate is 7.5% per year.

A quantity shrinks at a continuous rate of 33% per year. Its effective growth rate is % per year.

Since the quantity is shrinking, the effective growth rate will be negative.

The effective annual growth rate can be calculated as -33%.

Therefore, the effective annual growth rate is -33% per year.

A quantity grows at a rate of 17.5% compounded monthly. Its effective growth rate is % per year.

To find the effective annual growth rate, we can convert the monthly growth rate to an annual rate using the formula:

(1 + r)^12 = 1 + 0.175

Solving for r, we have r = 0.1619 or 16.19%.

Therefore, the effective annual growth rate is 16.19% per year.

A quantity has a half-life of 11 years. Its effective annual growth rate is % per year.

The half-life of a quantity is the time it takes for the quantity to reduce to half of its initial value.

To find the effective annual growth rate, we can use the formula:

(1 + r)^11 = 0.5

Solving for r, we have r = -0.0608 or -6.08%.

Therefore, the effective annual growth rate is -6.08% per year.

A quantity has a tripling time of 15 years. Its effective annual growth rate is % per year.

The tripling time is the time it takes for the quantity to triple its initial value.

To find the effective annual growth rate, we can use the formula:

(1 + r)^15 = 3

Solving for r, we have r = 0.0679 or 6.79%.

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Answer: use search website

Step-by-step explanation: its good

An element of the sample space is a sample point. Your answer: a. sample point. In this context, an "element" refers to an individual outcome within the "sample space," which is the set of all possible outcomes. A "sample point" is a single outcome in the sample space. Therefore, an element of the sample space is a sample point.

An element of the sample space is a sample point. A sample point represents the most basic outcome of an experiment or observation. For example, if we roll a dice, the sample space would be {1, 2, 3, 4, 5, 6}, and each number in the sample space would be a sample point.

Similarly, in a coin toss experiment, the sample space would be {heads, tails}, and each outcome would be a sample point. The sample space is the set of all possible outcomes of an experiment or observation, and each element in the sample space represents a unique sample point. Understanding the sample space is essential in probability theory as it forms the basis for defining events and calculating probabilities.

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Answer:

3

Step-by-step explanation:

Because you have three groups, the answer is three.

Answer:

$8000

Step-by-step explanation:

For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made

If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600

Answer:y=-6x-5

Step-by-step explanation:I dident use the point but i did do distributive property

Answer:

The area would be 81.

Step-by-step explanation:

To find this answer, I multiplied 9 by 9 cm , which gave me 81, which would represent the correct area of the figure.

Answer:

81

Step-by-step explanation:

In order to find the area, multiply

A = l × w

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

y =-3

Step-by-step explanation:

4(y+1)=-8

Divide each side by 4

4/4(y+1)=-8/4

y+1 = -2

Subtract 1 from each side

y+1-1 = -2-1

y = -3

Answer:

4y +4 = 8

4y +4 = 8

y = 1

Step-by-step explanation:

Problem

Kyle just graduated from college and got his first job, he has $45,000 in student loan debt, wants to buy a new car, and is considering opening up a retirement account. He has a disposable income of $300/month, what would you recommend he do with this money? Why?

Solution

For this case the best option would be put the $45000 in a bank with a compound interest

And with the earnings each month of 300$ he can put the half of this into the account and the remain to spend on other things

Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

The Taylor series expansion for the function f(x) = 1/x centered at c = 7 is given by the infinite sum:

f(x) = 1/7 - 1/49(x-7) + 1/343(x-7)² - 1/2401(x-7)³ + ...

And the interval of convergence for this series is (7 - R, 7 + R),

To find the Taylor series for a function, we start by calculating the derivatives of the function at the center point (c) and evaluating them at c. In this case, we have f(x) = 1/x, so let's begin by finding the derivatives:

f(x) = 1/x f'(x) = -1/x² (derivative of 1/x)

f''(x) = 2/x³ (derivative of -1/x²)

f'''(x) = -6/x^4 (derivative of 2/x³)

f''''(x) = 24/x⁵ (derivative of -6/x⁴) ...

We can observe a pattern in the derivatives of f(x). The nth derivative of f(x) can be written as (-1)ⁿ⁺¹ * n! / xⁿ⁺¹, where n! represents the factorial of n.

Now, we can use these derivatives to construct the Taylor series expansion. The general form of the Taylor series for a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x-c) + f''(c)(x-c)²/2! + f'''(c)(x-c)³/3! + ...

In our case, the center point is c = 7. Let's substitute the values into the series:

f(x) = f(7) + f'(7)(x-7) + f''(7)(x-7)²/2! + f'''(7)(x-7)³/3! + ...

To find the coefficients, we need to evaluate the derivatives at c = 7:

f(7) = 1/7 f'(7) = -1/49 f''(7) = 2/343 f'''(7) = -6/2401 ...

Plugging these values into the series, we get:

f(x) = 1/7 - 1/49(x-7) + 2/343(x-7)²/2! - 6/2401(x-7)³/3! + ...

Simplifying further:

f(x) = 1/7 - 1/49(x-7) + 1/343(x-7)² - 1/2401(x-7)³ + ...

Now, let's talk about the interval of convergence for this Taylor series. The interval of convergence refers to the range of values of x for which the Taylor series accurately represents the original function. In this case, the function f(x) = 1/x is not defined at x = 0.

Therefore, the interval of convergence for this Taylor series is (7 - R, 7 + R), where R is the distance from the center point to the nearest singularity (in this case, x = 0).

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Answer:

13.64

Step-by-step explanation:

it's because it's basically the same size as 12.3 but a bit bigger. it cant be 18.2 because that would be too big and it cant be 6.4 cause its too small and so is 10.79.

To find the number of integers less than 305 that are divisible by 3, we can divide 305 by 3 and round down to the nearest integer. This gives us 101. However, we need to subtract 1 to exclude the number 305 itself, so there are 100 numbers less than 305 that are divisible by 3.

A number is said to be divisible if it divides evenly (leaving no residue). 34, for instance, is divisible by 2 since 2 enters 34 equally. 34 is not divisible by 3 since it would result in a remainder.

According to the three-digit rule of division, a whole number is said to be divisible by three if the total of all its digits is precisely divided by three. A number's ability to be divided by three can be determined without executing division.

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