The graph of a line passes through the two points (-2,1) and (2,1).

part 1
Graph the line through the two points (-2,1) and (2,1). Based on the graph of the line only, determine the slope and y-intercept of the line.

part 2

write the equation, in slope-intercept form, of the line that passes through the points (-2,1) and (2,1)
complete your work in the space provided or upload a file that can display math symbols if your work requires it. be sure to include all of the answers for part 1 and 2​

Promotion 50√2 (or about 70.7) coupons need to be sent in order to get 100 customers to make a purchase.

The given problem states that around 80% of customers who receive a promotion coupon will visit the store. But only 20% of those in the store will make a purchase.

The problem asks us to determine how many promotion coupons have to be sent in order to get 100 customers to make a purchase.

Therefore, let the number of coupons to be sent be x.

Then, 80% of x people will visit the store. Therefore, the number of people who will visit the store is

(80/100)x or (4/5)x people.

However, only 20% of those in the store will make a purchase.

Therefore, the number of customers who make a purchase is (20/100) x (4/5)x = (1/25)x² customers.

We need to find x such that (1/25)x² = 100.

Therefore, x² = 25 × 100. Hence, x = √2500 or x = 50√2.

for such more question on  promotion

https://brainly.com/question/11131986

#SPJ11

ANSWER

28 ºF

EXPLANATION

We have to find the difference between the current temperature of -13ºF and the temperature Jaden is waiting for 15ºF:

See in this number line that to get from -13 to 15 we have to go though 0 first. So between -13 and 0 there are 13 degrees. Then from 0 to 15, there are 15 degrees. Therefore, from -13º to 15º there are:

Answer:

letters A and D

The given problem can be solved by using the formula of Z-Score and Standard Normal Distribution, where we have to find the Z-score of a given value of bulbs, and then the probability value can be obtained using a standard normal distribution table.

Finally, multiply the probability value with the total number of bulbs to get the approximate number of bulbs that can be expected to last the specified period of time. Given,

The number of light bulbs installed = 5000Mean (Average life of each bulb)

= 500 hours Standard deviation

= 100 hours Time specified to find the approximate number of bulbs that can last is more than 740 hours. So, we need to find the probability of a bulb lasting more than 740 hours.

To find the Z-Score, we use the formula Z = (X-μ)/σ, where X is the given value, μ is the mean and σ is the standard deviation.

Here, X = 740,

μ = 500, and

σ = 100.

Z = (740 - 500) / 100

= 2.4

Using the Standard Normal Distribution table, we find that the probability of Z-score of 2.4 is 0.0082.So, the probability of a bulb lasting more than 740 hours is 0.0082.Approximate number of bulbs that can last more than 740 hours is given by:

Number of bulbs = Probability * Total number of bulbs

= 0.0082 * 5000

= 41 (approx)

Therefore, the approximate number of bulbs that can be expected to last the specified period of time is 41.

The given problem can be solved by finding the Z-score and probability of a bulb lasting more than 740 hours using the Standard Normal Distribution table. Finally, multiply the probability value with the total number of bulbs to get the approximate number of bulbs that can be expected to last the specified period of time.

To learn more about Z-Score visit:

brainly.com/question/31871890

#SPJ11

Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

Answer:

b

Step-by-step explanation:

edge 2020

The expected number of companies that might not respond is 67.5.

Based on the given information, we can model the nonresponse rate using a binomial distribution. Let's define the following variables:

n = Number of questionnaires mailed = 150

p = Probability of not responding = 0.45

To determine the number of companies that might not respond, we can calculate the probability of different scenarios using the binomial distribution formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

X represents the number of companies that do not respond.

k represents the number of companies that do not respond.

C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

To find the probability of a specific number of companies not responding, we substitute the values of n, p, and k into the formula.

For example, to find the probability that exactly 70 companies do not respond, we can calculate:

P(X = 70) = C(150, 70) * 0.45^70 * (1 - 0.45)^(150 - 70)

To find the expected number of nonresponses, we can use the formula:

E(X) = n * p

In this case:

E(X) = 150 * 0.45

So the expected number of companies that might not respond is 67.5.

Note: The binomial distribution assumes independent and identically distributed trials, so it is important to ensure that the assumption holds in the given scenario.

Learn more about  number from

https://brainly.com/question/27894163

#SPJ11

The perimeter equation is:

2x + x + (1/2)πx = 24 ft.

Simplifying the equation, we have:

(5/2)πx + 3x = 24 ft.

To find the value of x, we solve the equation:

(5/2)πx + 3x = 24 ft.

This equation can be solved numerically or algebraically to find the value of x.

The perimeter of a Norman window can be calculated by adding the lengths of all its sides. In this case, the perimeter is given as 24 ft.

Let's break down the components of the Norman window:

- The rectangular part has two equal sides and two equal widths. Let's call the width of the rectangle "x" ft.

- The semicircle on top has a diameter equal to the width of the rectangle, which is also "x" ft.

To find the perimeter, we need to consider the lengths of all sides of the rectangle and the semicircle.

The perimeter consists of:

- Two equal sides of the rectangle, each with a length of "x" ft. So, the total length for both sides of the rectangle is 2x ft.

- The width of the rectangle, which is also "x" ft.

- The curved part of the semicircle, which is half the circumference of a circle with a diameter of "x" ft. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. So, the circumference of the semicircle is (1/2)πx ft.

To summarize, the perimeter equation is:

2x + x + (1/2)πx = 24 ft.

Simplifying the equation, we have:

(5/2)πx + 3x = 24 ft.

To find the value of x, we solve the equation:

(5/2)πx + 3x = 24 ft.

This equation can be solved numerically or algebraically to find the value of x.

Learn more about Equation here,https://brainly.com/question/29174899

#SPJ11

The Bell state is entangled, we can use the concept of separability or Schmidt decomposition. It cannot be expressed as a tensor product of two single-qubit states, and there is only one term in its Schmidt decomposition, which proves its entanglement

To show that a two-qubit state is entangled, we can use the concept of separability. A state is separable if it can be expressed as a tensor product of two single-qubit states. If a state cannot be written in this form, then it is entangled.

To show that the Bell state |Φ+⟩=1/√2(|00⟩+|11⟩) is entangled, we can attempt to write it as a tensor product of two single-qubit states. Let's assume that:

|Φ+⟩ = |a⟩ ⊗ |b⟩

where |a⟩ and |b⟩ are single-qubit states.

Then, we can write:

|Φ+⟩ = 1/√2 (|0⟩ ⊗ |0⟩ + |1⟩ ⊗ |1⟩)

Comparing this to the expression for the Bell state, we can see that it cannot be expressed as a tensor product of two single-qubit states. Therefore, it is entangled.

To mathematically prove that the Bell state is entangled, we can use the concept of Schmidt decomposition. The Schmidt decomposition expresses any two-qubit state as a sum of tensor products of orthonormal states, with non-negative coefficients. If a state can be written as a single term in the Schmidt decomposition, then it is separable. If not, then it is entangled.

The Schmidt decomposition of the Bell state is:

|Φ+⟩ = 1/√2 (|0⟩ ⊗ |0⟩ + |1⟩ ⊗ |1⟩)

The coefficients in this decomposition are both 1/√2, which are non-negative. However, there is only one term in the decomposition, which means that the state is not separable and is entangled.

To know more about qubit state:

https://brainly.com/question/30483108

#SPJ4

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

Learn more about inverse here:

https://brainly.com/question/3831584

#SPJ9

Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

To learn more about unit conversion, visit brainly.com/question/19420601

#SPJ4

The person who drink more water is Troy and he drinks 0.3 L more than Whitney

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem, we have to do the conversion of units with the given information:

Information about the problem:

By converting the unit from mL to L, we have:

1500 mL * (1 L / 1000 mL ) = 1.5 L

Comparing the volume of water that Whitney and Troy drink we have:

1.8 L > 1.5 L

Troy > Whitney

Troy drinks more water than Whitney

Calculating how much water Troy drinks more, we get:

Volume difference = Troy - Whitney

Volume difference = 1.8 L - 1.5 L

Volume difference = 0.3 L

Learn more about unit conversion at: brainly.com/question/141163

#SPJ4

Answer:

a) Least (V):69  Greatest (V):84

b) 74 78 79 82 84 are equally the higher frequency so we go with the lower value (V): 74 which is also the mode and modal.

Step-by-step explanation:

Answer:

T = i or -i

Step-by-step explanation:

Consider these steps:

t^2 = -1

t = √-1 or  -√-1

t =  i or -i

The maximum occurs at x ≈ 2.2143, the inflection point occurs at x = π, and there are no local minima in the interval 0 ≤ x ≤ 2π.

To find the maximum, minimum, and inflection points for the function y = 5 sin x + 3x, we need to take the derivative of the function and set it equal to zero to find the critical points.

y = 5 sin x + 3x

y' = 5 cos x + 3

Setting y' equal to zero, we get:

5 cos x + 3 = 0

cos x = -3/5

x = arccos(-3/5) ≈ 2.2143

This is the only critical point in the interval 0 ≤ x ≤ 2π.

To determine if this critical point is a maximum or minimum, we can use the second derivative test. Taking the second derivative of y, we get:

y'' = -5 sin x

At x = arccos(-3/5), y'' = -5 sin(arccos(-3/5)) ≈ -4.4721

Since y'' is negative at x = arccos(-3/5), this critical point is a local maximum.

To find the inflection points, we need to find where the concavity changes. This occurs when y'' = 0 or is undefined. Since y'' is never equal to zero, the only possibility is that y'' is undefined. This occurs when sin x = 0, which happens at x = kπ for any integer k. However, we are only interested in the interval 0 ≤ x ≤ 2π, so we only need to check the values k = 0, 1, and 2.

At x = 0 and x = 2π, y'' = -5 sin(0) = 0, which means that the concavity does not change at these points.

At x = π, y'' = -5 sin(π) = 0, which means that the concavity changes at this point. Therefore, x = π is an inflection point.

In summary, the maximum occurs at x ≈ 2.2143, the inflection point occurs at x = π, and there are no local minima in the interval 0 ≤ x ≤ 2π.

To learn more about interval visit:

https://brainly.com/question/13708942

#SPJ11

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

The given nth degree Taylor polynomial for f(x) centered at x=0 is, \($${T_n}(x) = {a_0} + {a_1}x + {a_2}{x^2\)} +  \cdot  \cdot  \cdot  \(+ {a_n}{x^n}$$\)

According to the given problem, Let's go one by one:

a) \(${a_0} = f(0)$\)  This is true, as the first term of the nth degree Taylor polynomial is always the value of the function f(x) at x = 0.

b)\(${L_0}(f(x)) = {T_{1,0}}(x)$\)  This is false, as \(${L_0}(f(x))$\)refers to the linear approximation of f(x) at x = 0,

whereas\(${T_{1,0}}(x)$\)  refers to the quadratic approximation of \(f(x) at x = 0\).

c) \($a_k = \frac{{f^{(k)}}(0)}{{k!}}$\) This is also true, as \($a_k$\) is the coefficient of \(${x^k}$\)  in the nth degree Taylor polynomial, and this coefficient can be calculated using the formula\($a_k = \frac{{f^{(k)}}(0)}{{k!}}$\).

d) All of the above This is not true, as option b is false.

Hence, the correct option is \((c) $a_k = \frac{{f^{(k)}}(0)}{{k!}}$\).

The remainder \(Rn,a(x)\) for the nth degree Taylor polynomial \(Tn,a(x)\) is given by\($$R_{n,a}(x) = f(x) - {T_{n,a}}(x)$$\)

According to Taylor's theorem, for each x in I, there exists some c between x and a such that\($$R_{n,a}(x) = \frac{{{f^{(n+1)}}(c)}}{{(n+1)!}}{(x-a)^{n+1}}$$\)

Hence, the correct option is (c) \(${(n+1)!}$/${(n+1)}$ ${(x-a)^{n+1}}$\) for some c between x and a.

In the case that n=0, Taylor's theorem gives the formula for the error in linear approximation.

Hence, the correct option is (c) gives the formula for the error in linear approximation.

In the case that n=1, Taylor's theorem is the Mean Value Theorem.

Hence, the correct option is (b) is the Mean Value Theorem.

Learn more about Taylor polynomial

https://brainly.com/question/30481013

#SPJ11

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The measure of arc or angle are:

1. <BCD = 50

2. 60

3. arc UW = 60

4. arc KM = 114

15) The measure of ∠BCD

= 1/2arc BC

= (360° -260°)/2

= 50°

16) As, ∠K is supplementary to minor arc JL

= 180° -120°

= 60°

17) We can see that ∠V is half the difference of arc TW and arc UW.

(198° - UW)/2 = 69°

198° -138° = UW

UW = 60°

18) Now, ∠L is supplementary to short arc KM

KM = 180° -66°

KM = 114°

Learn more about Arc here:

https://brainly.com/question/9301180

#SPJ4

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

To know more about hypothesis refer here:

https://brainly.com/question/32562440#

#SPJ11

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

Learn more about domains at:

https://brainly.com/question/1770447

#SPJ1

Answer:

-5x+(- 15 ) = 20

x=-7

Step by Step

-5x+(-15)= 20 becomes

-5-15=20 add 15 tp (15 and 20)

-5x=35 ( divide by 51

x=-7

It would take approximately 12 years for the property values to double.

According to the rule of 72, we can approximate the time it takes for an investment to double by dividing 72 by the annual growth rate.

In this case, if the value of land in an area is increasing by 6 percent per year, we can estimate how long it will take for property values to double by dividing 72 by 6, which equals 12.

Please note that the rule of 72 provides a rough estimate and assumes a constant growth rate, which may not always hold true in real-world scenarios.

It is important to consider other factors and perform a more detailed analysis when making financial decisions.

For more such questions on property values

https://brainly.com/question/14408208

#SPJ8

We can say with 95% certainty that the genuine rate of all patients at this clinic who have high blood pressure is between 24% and 42%. 

To develop a 95% certainty interim for the rate of all patients at this clinic that have tall blood weight, we will utilize the equation:

CI = p ± z*(p*(1-p)/n))

where p is the sampling extent, z is the z-score related to the required certainty level (in this case, 1.96 for 95% certainty), and n is the test measure.

We are given that out of a test of 100 patients, 33 have high blood weight. In this manner, the test extent is:

p = 33/100 = 0.33

Utilizing the equation over, we will calculate the edge of the mistake:

Arduino

ME = z*(p*(1-p)/n)) = 1.96*(0.33*(1-0.33)/100)) ≈ 0.09

At that point, we are able to develop the 95% certainty interim:

CI = p ± ME = 0.33 ± 0.09 = (0.24, 0.42)

Hence, able to say with 95% certainty that the genuine rate of all patients at this clinic who have high blood weight is between 24% and 42%. 

To learn about high blood pressure visit:

https://brainly.com/question/29738166

#SPJ4

Answer:

First one- y = -13

Step-by-step explanation:

27 + y = 14 (Rearrange equation)

y = 14 - 27 (Combine like terms)

y = -13

By solving a quadratic equation, it can be calculated that-

x = 2 or x = \(\frac{1}{2}\) and y = -3

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The graph of the curve y=2x²-5x -1 and a straight line PQ where drawn, to solve the equation 2x²-5x+2=0

2x²-5x -1 - y =  2x²-5x+2

-1-y = 2

y = -1-2

y = -3

Now, the quadratic equation is

2x²-5x+2 = 0

2x²-4x-x+2 = 0

2x(x - 2) - 1(x - 2) = 0

(x - 2)(2x - 1) = 0

x - 2 = 0 or 2x - 1 = 0

x = 2 or x = \(\frac{1}{2}\)

To learn more about quadratic equation, refer to the link-

https://brainly.com/question/1214333

#SPJ1