the system of equations below has how many solutions? y=-3/2x+5 y=-3/2x-3

Answer:

domain: -2, -1, 0, 1, 2

range: 0, 2, -4, -8

Step-by-step explanation:

domain is the possible x values of the function. in this case, its a collection of plotted points, so we can just line up the x values of these points.

range is the possible y values of the function. again, we can just look at the y values of the points, line them up, and select our answer.

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

used graphing calculator

Answer:

Step-by-step explanation:

As x is bigger than the number the 3.

x > 3 (The answer) ✔️

This symbol ‘>’ means ‘greater than’

So x is greater than 3

Answer:

30 students

Step-by-step explanation:

The 15 students that came were 30% of the class:

30% = 15 students

To find 100%, we can first find 10% by dividing both sides by 3

10% = 3 students

(30% ÷ 3 = 10%, 15 ÷ 3 = 5)

Then, multiply both sides by 10 to get 100%

100% = 30 students

(10% × 10 = 100, 3 × 10 = 30)

Answer:

260 hours

Step-by-step explanation:

first take out the 20 fixed cost that doesn't change no matter how long he gardens from 800

divide the remainder which is 780 by 3 which is the amount he gets paid for every hour he gardens. He would have to work 260 hours for the bike if he only takes one yard job

The addition equation 1 is 5/8 + 3/8 = 1 and the addition equation 2 is 1.5 + 1.25 = 2.75

Kelly's coffee drink

The given parameters are:

Coffee cup = 1

Amount drank = 5/8

The amount left is calculated as:

Amount drank + (Amount left) = Coffee cup

So, we have:

5/8 + (Amount left) = 1

Evaluate the like terms

Amount left = 3/8

Substitute Amount left = 3/8 in 5/8 + (Amount left) = 1

5/8 + 3/8 = 1

Hence, the addition equation is 5/8 + 3/8 = 1

Dante's Recipe

The given parameters are:

Cookie = 1.5 sugar

Brownie = 1.25 sugar

The amount of sugar needed is calculated as:

Amount needed = Cookie + Brownie

So, we have:

Amount needed = 1.5 + 1.25

Evaluate the like terms

Amount needed = 2.75

Substitute Amount needed = 2.75 in Amount needed = 1.5 + 1.25

1.5 + 1.25 = 2.75

Hence, the addition equation is 1.5 + 1.25 = 2.75

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Answer:

\((x-2)^5 = x^5 - 10x^4 + 40x^3 - 80x^2 + 80x - 32\)

Step-by-step explanation:

Binomial Theorem

\((a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n\)

Given expression:

\((x-2)^5\)

Compare with the Binomial Theorem:

\(a=x, \quad b=-2, \quad n=5\)

Substitute the values into the formula:

\(\begin{aligned}(x-2)^5 & = x^5+\dfrac{5!}{1!4!}x^{4}(-2)+\dfrac{5!}{2!3!}x^{3}(-2)^2+\dfrac{5!}{3!2!}x^{2}(-2)^3+\dfrac{5!}{4!1!}x^{1}(-2)^4+(-2)^5\\\\& =x^5+\dfrac{120}{24}x^{4}(-2)+\dfrac{120}{12}x^{3}(4)+\dfrac{120}{12}x^{2}(-8)+\dfrac{120}{24}x(16)-32\\\\& =x^5-\dfrac{240}{24}x^{4}+\dfrac{480}{12}x^{3}-\dfrac{960}{12}x^{2}+\dfrac{1920}{24}x-32\\\\& =x^5-10x^{4}+40x^{3}-80x^{2}+80x-32\end{aligned}\)

Pascal's Triangle

Pascal's triangle is an arrangement of binomial coefficients in triangular form.  Each row has 1 at both ends, and each remaining number in the row is found by adding together the two numbers directly above it.

\(\phantom{-b)))))))}1\\\phantom{-b)))))}1 \:\quad 1\\\phantom{-b)))}1 \:\quad 2\: \quad 1\\\phantom{-b)}1 \:\quad 3\: \quad 3\: \quad 1\\\phantom{))}1 \quad 4 \:\: \quad 6 \quad \;4 \: \quad 1\\1 \quad 5 \quad 10 \quad 10 \quad 5 \quad 1\)

(Note: The initial row with the single number 1 is row zero)

Each term in the binomial expansion using Pascal's triangle is the product of a coefficient, a with an exponent, and b with an exponent.

As we move through each term from left to right, the exponent of a decreases from the exponent of the expression down to zero, and the exponent of b increases from zero up to the exponent of the expression.

The coefficients of each term are the numbers which appear in the number of the row that corresponds with the exponent of the expression.

From the given expression, the power that we are expanding the bracket to is 5, so we need to look at line 5 of Pascal's triangle, which is:

1 5 10 10 5 1

Therefore, the expansion using Pascal's triangle to the power 5 of is:

\((a+b)^5=1a^5b^0+5a^4b^1+10a^3b^2+10a^2b^3+5a^1b^4+1a^0b^5\)

Substituting the values of a and b:

\(\begin{aligned}(x-2)^5 & = 1x^5(-2)^0 + 5x^4(-2)^1 + 10x^3(-2)^2 + 10x^2(-2)^3 + 5x^1(-2)^4 + 1x^0(-2)^5\\\\ & = x^5 - 10x^4 + 40x^3 - 80x^2 + 80x - 32\end{aligned}\)

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

An investor writes a s&p 100 Jan. 185 put at $6 on May 4. In this situation, his function maximum potential benefit is $600.

We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.

A benefit is a positive outcome or advantage that results from something. It can refer to the positive aspects or advantages of a product, service, or action, and can be tangible or intangible. Benefits can include increased efficiency, cost savings, improved safety, increased customer satisfaction, and many other positive outcomes.

Here,

As a put buyer, the most you may lose is the premium you previously paid to purchase the put option.

The option price must be reduced to equal the strike price less any already-paid premium in order to break even.

The strike price less the premium is your maximum gain as a put buyer. The most bullish option strategy is thought to be purchasing call options.

This tactic allows the buyer of the call option the choice, but not the responsibility, to purchase the stock at a certain price at a precise moment.

Whenever the price of the security increases using this approach, the buyer benefits. A long position is one in which a call or put option is purchased or held.

Investors have the option of purchasing from or selling to the other investor at a predetermined price.

On the other hand, a short position is when you sell a call or put option. Writers must purchase from people holding long positions or buying options.

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On May 4th an investor writes on s&p 100 Jan 185 put at $6. his function maximum potential gain in this position is $600.

We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.

Your maximum loss as a put buyer is the premium already paid to buy the put option. To break even the option price must be lowered to cover the strike price minus the premium already paid. Your maximum profit as a put buyer is the strike price minus the premium. Buying call options are considered the most bullish options strategy.

This strategy gives the call option buyer the right but no obligation to buy the security at a specific price at a specific time. With this strategy, the buyer benefits when the price of the security rises. Buying or holding a call or put option is a long position. Investors have the right to buy or sell to the writing investor at a specified price. Conversely selling or selling a call or put option is a short position. Writers must buy or sell from long position holders or option buyers.

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Answer:

To simplify the expression sin(x+y) + sin(x-y), we can use the sum-to-product identities for trigonometric functions. The simplified form of the expression is 2sin(y)cos(x).

Using the sum-to-product identity for sin, we have sin(x+y) = sin(x)cos(y) + cos(x)sin(y). Similarly, sin(x-y) = sin(x)cos(y) - cos(x)sin(y).

Substituting these values into the original expression, we get sin(x+y) + sin(x-y) = (sin(x)cos(y) + cos(x)sin(y)) + (sin(x)cos(y) - cos(x)sin(y)).

Combining like terms, we have 2sin(x)cos(y) + 2cos(x)sin(y).

Using the commutative property of multiplication, we can rewrite this expression as 2sin(y)cos(x) + 2sin(x)cos(y).

Finally, we can factor out the common factor of 2 to obtain 2(sin(y)cos(x) + sin(x)cos(y)).

Simplifying further, we get 2sin(y)cos(x), which is the simplified form of the expression sin(x+y) + sin(x-y). Therefore, option a) 2sin(y)cos(x) is the correct choice.

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Answer:

b. (6, 4)

Step-by-step explanation:

i hope this helps :)

Answer:

B. (6,4)

Step-by-step explanation:

The point is inside the triangle.

Answer:

3:5

Step-by-step explanation:

have a good day or night or whatever

Answer:

9:15

Step-by-step explanation:

Answer: They are Colinear.

Colinear means that they all lie in the same line. Since A rotates 180 degrees, it means that A and A' forms a straight line. You should know this in middle school(Well, I knew this in elementary school)

Step-by-step explanation:

a) given slope=m1=a/3

slope of parallel line=m2=5/6

parallel lines have equal slopes:

m1=m2

a/3=5/6

a=5/6×3

a=5/2

b) m1=a/3

m2=-2/9

lines are parallel:

m1=m2

a/3=-2/9

a=-2/9×3

a=-2/3

c)m1=a/3

m2=6

Slopes are perpendicular:

m1×m2=-1

a/3×6=-1

a×2=-1

a=-1/2

d)m1=a/3

m2=6/7

lines are perpendicular:

m1×m2=-1

a/3×6/7=-1

a×2/7=-1

a=-7/2

Answer:

D. because

Step-by-step explanation:

ok

The partial derivatives of g(x,y) with respect to u and v are,

a) ∂g/∂u = -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

b) ∂g/∂v = -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

We can use the chain rule to compute the partial derivatives of g(x, y) with respect to u and v

∂g/∂u = ∂g/∂x × ∂x/∂u + ∂g/∂y × ∂y/∂u

∂g/∂v = ∂g/∂x × ∂x/∂v + ∂g/∂y × ∂y/∂v

First, we need to express g(x,y) in terms of u and v by substituting the expressions for x and y in terms of u and v

g(x,y) = cos(x^2+y^2) = cos((u-v)^2+(-4u-4v)^2)

To calculate the partial derivatives of g(x,y) with respect to u and v, we need to calculate the partial derivatives of x and y with respect to u and v

∂x/∂u = 1

∂x/∂v = -1

∂y/∂u = -4

∂y/∂v = -4

Now, we can substitute these partial derivatives and the expression for g(x,y) in terms of u and v into the chain rule formulas

∂g/∂u = ∂g/∂x × ∂x/∂u + ∂g/∂y × ∂y/∂u

= -sin((u-v)^2+(-4u-4v)^2) × 2(u-v) + sin((u-v)^2+(-4u-4v)^2) × (-4)

= -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

∂g/∂v = ∂g/∂x × ∂x/∂v + ∂g/∂y × ∂y/∂v

= -sin((u-v)^2+(-4u-4v)^2) × 2(u-v) + sin((u-v)^2+(-4u-4v)^2) × (-4)

= -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

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The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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Answer:

4^20

Step-by-step explanation:

When you have an exponent raised to another exponent, you multiply the exponents.

Answer:

y = - 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (3, - 4 ) with y- coordinate - 4 , then

y = - 4 ← equation of line

Answer:

\( \boxed{Values \: true \: of \: 'x' \: for \: equation \: {x}^{2} + 2x = 24 \: is \: -6 \: and \: 4} \)

Step-by-step explanation:

\( = > {x}^{2} + 2x = 24 \\ \\ = > {x}^{2} + 2x - 24 = 0 \\ \\ = > {x}^{2} + (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} + 6x - 4x - 24 = 0 \\ \\ = > x(x + 6) - 4(x + 6) = 0 \\ \\ = > (x + 6)(x - 4) = 0 \\ \\ = > x + 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x - 4 = 0 \\ \\ = > x = - 6 \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x = 4\)

Values true of 'x' for equation x² + 2x = 24 is -6 and 4

The probability that this whole shipment will be accepted is 0.1813. The company will accept 82.87% of the shipments and will reject 17.13% of the shipments, so the likelihood of a rejected shipment is relatively low.

Probability is essentially the likelihood that something will occur. The entire number of potential outcomes must first be known in order to calculate the likelihood of a particular event.

P(E) = Number of favorable outcomes / Number of total outcomes

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The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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The appropriate value of p to use the Normal approximation for the sampling distribution of p is when p is 0.05.

When the sample size is large and the population proportion p is near 0.5, the Normal approximation tends to be more accurate. This is because the sampling distribution of the sample proportion becomes approximately symmetric and bell-shaped around p = 0.5. In such cases, the Normal distribution provides a good approximation.

To ensure that Normal approximation is appropriate, it is recommended to use it when both "np" and "n(1-p)" are greater than or equal to 5.

In this problem, the sample-size is n = 325. So, for the Normal approximation to be appropriate, we look for a value of p such that np ≥ 5 and n(1-p) ≥ 5. Solving these inequalities, we find that p should be around 0.05, which satisfies the conditions.

Therefore, when the population proportion p is around 0.05, it is appropriate to use the Normal approximation for the sampling distribution of p.

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Answer:

x= 376

Step-by-step explanation:

100/25=4

94*4=376

Answer:

(3,-6)

Step-by-step explanation:

The midpoint is the halfway distance between two points.

11+(-5)/2, -7+(-5)/2=

11-5/2, -7-5/2=

6/2, -12/2=

(3, -6)

The equation 7/(2x+1) + 13/(y+0) = 0 is not linear due to the presence of variables in the denominator and the presence of fractions.

The equation 7/(2x+1) + 13/(y+0) = 0 is not a linear equation.

To determine if an equation is linear, we need to check if the highest power of the variables (x and y in this case) is 1, and if the variables are not multiplied together or appear in any other non-linear form.

In the given equation, we can see that both x and y are in the denominator of fractions. This indicates that the equation is nonlinear. Linear equations involve variables in a straightforward, non-fractional manner, with no denominators.

Furthermore, the presence of fractional terms with denominators makes the equation non-linear, as linear equations do not involve fractions.

Therefore, the equation 7/(2x+1) + 13/(y+0) = 0 is not linear due to the presence of variables in the denominator and the presence of fractions.

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Given:

z = -2 + 2 √3 i​

The objective is to write the number in trigonometric form.

The trigonometric form can be represented as,

The general form of complex number is, z = x+iy.

By comparing with the given equation.

x = -2

y = 2 √3

The value of r can be calculated as,

The value of theta can be calculated as,

Now, substitute the obtained values of r and theta in the general equation of trigonometric form.

Since,

Then,

Hence, the required trigonometric form is obtained.

Answer:(2,6)

Step-by-step explanation: 4/1 is going rise/run. your rise would be 4 and your run would be 1. 4/1 is up 4 to the right 1. another point would be (0,-2). you are still gonne do the same thing as rise over run just go negavtive. -4/1 which is down 4 to the left 1.