Write the point slope form of an equation of the line through the points (-7,7) and (4,1)

A) y-7=-6/11(x+7)
B) y-4=-6/11(x-1)
C) y+1=-6/11(x+4)
D) y+7=-6/11(x-7)

Answer:

a = 10

b = 4

Step-by-step explanation:

a) AB = 4 + x

b)

(x + 6)(x + 4) = 28

x^2 + 10x + 24 = 28

x^2 + 10x = 4

ax = 10x

a = 10

b = 4

The probability density function of Y is f_Y(y) = 1, for y ∈ (0, 1).

Given that X has an exponential distribution with λ=1.

Let X be a random variable with an exponential distribution characterized by parameter λ=1. This implies that the probability density function of X is given by:

f_X(x) = λ * e^(-λx) = e^(-x), for x ≥ 0.

Now, we are asked to find the probability density function of Y, where Y = e^(-X). To do this, we'll use the transformation technique. First, we find the inverse transformation X = g(Y) by solving for X:

X = -ln(Y)

Next, we compute the derivative of g(Y) with respect to Y:

dg(Y)/dY = -1/Y

Now, we can use the transformation technique formula to find the pdf of Y:

f_Y(y) = f_X(g(y)) * |dg(y)/dy| = e^(-(-ln(y))) * |-1/y|

Simplifying this expression, we get:

f_Y(y) = y * (1/y) = 1, for y in the range (0, 1).

So, the probability density function of Y is f_Y(y) = 1, for y ∈ (0, 1).

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what grade u in ?! i will help u

Billy purchased 9 types of one type and 16 types of another spinner.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Billy bought 25 spinners.

Let x and y are the type of spinners.

Then, x + y = 25  {equation 1}

Some were $10 and some were $15.

10x + 15y = 295  

Simplifying,

2x + 3y = 59    {equation 2}

Multiplying 2 to the equation 1 and subtraction the equation 2,

-y = -9

y = 9

And x = 16

Therefore, each type of spinner is 9 and 16.

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The function that models the amount of money remaining in Carl's account is \(M(t) = -100t + 500\)..

We will start by finding out how much money Carl will have left after each withdrawal:

After 30 days:

= $500 - $100

= $400

After 60 days:

= $400 - $100

= $300

After 90 days:

$300 - $100

= $200

After 120 days:

= $200 - $100

= $100

After 150 days:

= $100 - $100

= $0

We can see that Carl 5 withdrawals of $100 each over 150 days. So, we can use a linear function to model the amount of money remaining in Carl's account over time which is M(t) = -100t + 500.

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Answer:

......................................,........

The confidence interval is calculated by adding and subtracting the product of a constant (usually 1.96), the margin of error, and the mean.

The constant times the margin of error is added and subtracted from the sample mean to obtain the confidence interval range.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

A low standard deviation means data are clustered around the mean, and a high standard deviation indicates data are more spread out.
The constant is determined by the confidence level of your analysis (typically 95%) and the margin of error is determined by the standard deviation and the size of your sample.

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I just have the answer of the 70.

it is 10560

Answer:

69 is 1/3 and 70 is 10560

Step-by-step explanation:

The age of the twins is 13 years old.

These are equations that consists of unknown variables and equations.

Let the age of Johnson twins be x

Let the age of their older sister be y

If the Johnson twins were born six years after their older sister, then;

x = y + 6

If this year, the product of the three siblings ages is exactly 3166 more than the sum of their ages, then;

xy = x+y+3166

Substitute the first equation into the second

x * x * (x+6) = x + x + (x+6) + 3166

x² * (x+6) = 3x + 3172

x³ + 6x² = 3x + 3172

x³ + 6x² - 3x - 3172 = 0

x = 13

Therefore the age of the twins is 13 years old.

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Answer:

the answer is 5/9

Step-by-step explanation:

Answer:

on slope calculator i got 0.3?

Step-by-step explanation:

sorry if it aint right

1. The volume of the solid obtained by rotating the region bounded by y = x^6, y = 1 about y = 5 is 20π/3 cubic units. 2. the volume of the solid obtained by rotating the region bounded by x = 0, y = 1, x = y^8 about y = 1 is π/3 cubic units.

Region bounded by y = x^6, y = 1 about y = 5:

To find the volume of the solid obtained by rotating the region about the line y = 5, we can use the disk method.

The radius of each disk is given by the distance between the line of rotation and the curve y = x. This distance is equal to 5 - y. The thickness of each disk is dy. Therefore, the volume of each disk is given by:

\(dV = π(radius)^2(thickness)= π(5 - y)^2dy\)

Integrating from y = 0 to y = 1, we get:

V = π∫[0,1]\((y^2 - 10y + 25)dy\)

= 20π/3

2.Region bounded by x = 0, y = 1, x = y^8 about y = 1:

To find the volume of the solid obtained by rotating the region about the line y = 1, we can again use the disk method.

The radius of each disk is given by the distance between the line of rotation and the curve x = 8. This distance is equal to 1 - y. The thickness of each disk is dy. Therefore, the volume of each disk is given by:

dV = π\((radius)^2(thickness)\)

= π\((1 - y)^2dy\)

Integrating from y = 0 to y = 1, we get:

V = π\([y^3/3 - y^2 + y]_[0,1]\)

= π(1/3 - 1 + 1)

= π/3

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If the null hypothesis is rejected, and the proportion of customers willing to pay more is significantly different from 10%, this would support my hypothesis that customers are willing to pay more for eco-friendly packaging.

Let's say you work for a company that has been using a certain type of packaging material for their products. However, there have been concerns raised about the environmental impact of this material, and the company is considering switching to a more eco-friendly option. You believe that customers would be willing to pay more for products that are packaged with the eco-friendly material, but you need to test this hypothesis.

Variable: The variable that would be tested is whether customers are willing to pay more for products that are packaged with the eco-friendly material.

Guess of value: I would guess that customers would be willing to pay more for eco-friendly packaging, but I'm not sure how much more. Let's say my guess is that customers would be willing to pay 10% more for products packaged with the eco-friendly material.

Hypothesis test: To test this hypothesis, I would conduct a survey where I randomly select a sample of customers and ask them if they would be willing to pay more for products packaged with the eco-friendly material. I would then compare the proportion of customers who are willing to pay more to my guess of the value (10%).

Null hypothesis: The null hypothesis would be that the proportion of customers willing to pay more for eco-friendly packaging is not significantly different from 10%.

Alternative hypothesis: The alternative hypothesis would be that the proportion of customers willing to pay more for eco-friendly packaging is significantly different from 10%.

 If the null hypothesis is not rejected, this would suggest that customers are not willing to pay more for eco-friendly packaging, and the company may need to reconsider their decision to switch to the more expensive material.

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Answer:

p

Step-by-step explanation:

no of dimes you have =17

no of dimes your brother have=8

now

no of dimes more you have save =17-8

=9

hence you have saved 9 more dimes

                                     Question 7

Answer:

The graph in question 7 is a function.

Step-by-step explanation:

In order to check whether the graph in question 7 is a function or not, we need to draw a vertical line anywhere on the graph, and if does not hit the graph more than once, it is a function.

It is observable that the vertical line will always intersect the graph in question 7 at the only place.

From the graph, it is clear the green vertical line intersects the graph at the only place. Hence, the graph in question 7 is a function.

Therefore, the graph in question 7 is a function.

                                               Question 8

Answer:

The graph in question 8 is not a function.

Step-by-step explanation:

In order to check whether the graph in question 8 is a function or not, we need to draw a vertical line anywhere on the graph, and if does not hit the graph more than once, it is a function.

It is observable that the vertical line intersects the graph in question 8 at more than one place.

From the graph, it is clear the green vertical line intersects the graph at x=-3 at more than one place. We can not have the same x values for the two output values in order to be a function. Hence, the graph in question 8 would NOT be a function.

Therefore, the graph in question 8 is not a function.

Answer:

I would say ACD and BCD.

Step-by-step explanation:

Sorry if I am wrong.

Answer:

12 bars for $10.00

Step-by-step explanation:

Answer:

\( \cos(o) = \frac{12}{13} \)

Step-by-step explanation:

cos O = adjacent / hypotenuse

cos O = 12/13

I hope I helped you^_^

Answer:

Cos 0 = 12/13

Step-by-step explanation:

Adyacent side/hypotenuse

Cos 0 = 12/13

An inequality to describe the possible values for the total area, A, of the green section can be represented as A ≥ 0 square feet. This inequality indicates that the total area must be greater than or equal to zero.

The area of a section cannot be negative since it represents a physical space. Therefore, the total area, A, of the green section must be non-negative. By using the symbol "≥" (greater than or equal to), we indicate that the area can be equal to zero or any positive value greater than zero. The inequality A ≥ 0 ensures that the total area is within the acceptable range. If the area is zero, it means there is no green section present. Any positive value represents the actual area of the green section. This inequality allows for flexibility in the size of the green section, as long as it is non-zero and non-negative. The inequality A ≥ 0 describes the possible values for the total area, ensuring that it is greater than or equal to zero square feet.

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Answer:

89m

Step-by-step explanation

area of the triangle 15

area of the rectangle 104

104-15=89m

Answer:

\(89\) \(m^{2}\)

Step-by-step explanation:

area of a triangle  = \(\frac{bh}{2}\)

so \(\frac{(5)(6)}{2}\) = 15 \(m^{2}\)

area of a rectangle = \(\\ bh\)

so \(\\ 8\)×\(\\ 13\) \(\\ = 104\) \(m^{2}\)

so the area of the figure is

\(\\ 104\) \(m^{2}\) -  15 \(m^{2}\) = \(89\) \(m^{2}\)

The answer is what you got

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

The answer  is 4 - 4yi + y2, .We need to expand it using the rules of exponents.

We need to expand the expression (2 - yi)2 using FOIL (First, Outer, Inner, Last). (2 - yi)2 = (2 - yi)(2 - yi)
= 2(2) - 2(yi) - y(i)(2) + (yi)(i)
= 4 - 4yi + yi2
= 4 - 4yi + y2
So the simplest form of (2 - yi)2 is 4 - 4yi + y2.

To find the simplest form of (2 - yi)², where i is the imaginary unit, you need to expand and simplify the expression. First, you'll apply the formula (a - b)² = a² - 2ab + b². In this case, a = 2 and b = yi. After applying the formula, you'll get (2)² - 2(2)(yi) + (yi)². Next, you'll simplify each term. (2)² = 4, -2(2)(yi) = -4yi, and (yi)² = (y²)(i²). Since i² = -1, then (yi)² = -y². Finally, combining the terms, you'll have 4 - 4yi - y² as the simplest form of (2 - yi)².

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The hypothesis test or draw a conclusion about the sufficiency of evidence. comparing it to a critical value or obtaining a p-value. However, without specific data or sample information

In order to determine if there is sufficient evidence to support the mayor's claim, we need to set up the null and alternative hypotheses and conduct a hypothesis test.

Null hypothesis (H0): The proportion of residents favoring annexation is equal to or less than 72%.

Alternative hypothesis (H1): The proportion of residents favoring annexation is greater than 72%.

To test these hypotheses, we can use a one-sample proportion test. Let's denote p as the true proportion of residents favoring annexation in the population.

Given that the mayor believes more than 72% of the residents favor annexation, the alternative hypothesis is one-sided and can be stated as follows:

H0: p ≤ 0.72

H1: p > 0.72

To determine if there is sufficient evidence to support the mayor's claim, we would need to collect a sample from the town's residents and conduct a hypothesis test, using statistical methods such as calculating a test statistic (e.g., z-test) and comparing it to a critical value or obtaining a p-value. However, without specific data or sample information, we cannot perform the hypothesis test or draw a conclusion about the sufficiency of evidence.

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The answer is 5. This is the y intercept

Number of degrees of freedom should we​ use for sample size of 15 at 95% confidence interval is 14.

Given:

Suppose we are making a​ 95% confidence interval for the population mean from a sample of size 15.

Degrees of freedom:

Degrees of freedom indicate the number of independent pieces of information used to calculate a statistic; in other words - they are the number of values that are able to be changed in a data set.

we know that,

Degrees of freedom df = n - 1.

where n = sample size

df = sample size - 1

= n - 1

= 15 - 1

= 14

Therefore number of degrees of freedom should we​ use for sample size of 15 at 95% confidence interval is 14.

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Answer. I think is A

Step-by-step explanation:

The number of questions that rita answered correctly is 28 questions.

Given that,

Rita answered 14 questions in the post test correctly, which is 350% more than she had answered correctly on the pre test's 50 percentage of the questions.

To find : The number of questions that Rita answered correctly

By using simple math,

We can write a relation using the given data,

14/x = 50%

14/x = 0.5

x = 28

Here x is the number of questions that Rita answered correctly

Therefore, the number of questions that Rita answered correctly is 28 questions.

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Given

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?

Solution

The final answer

The minimum expected is 8.76% Euros

x² + 4x - 5 is the answer...

Answer:

x^2 + 4x - 5

Step-by-step explanation:

(x+5) x (x-1)

Multiply the parentheses

X × X - X + 5x -5

Calculate

x^2 − X + 5x − 5

Collect like terms

Solution:

x^2 + 4x - 5