Write the equation of a line in slope intercept form that is parallel to y=4/3x-7 and contains the point (5,-8)
WILL GIVE BRAINLIEST

Answer:

-13.64

Step-by-step explanation:

Answer:14.52 is the variation in water level

Step-by-step explanation:

We are given a random sample of n observations from an exponential distribution with a pdf of f(x;θ)=e^(θ−x)I(θ,∞)(x) and we are asked to show that S=X(1) is sufficient for θ. S=X(1) means the smallest value among all the observations,

This means the first indicator function is equal to 1. The second indicator function is 1 only when all observations are less than θ. Since we're looking for the maximum value of θ, we can assume that the first n-1 observations are all less than θ and only the nth observation is greater than or equal to θ.

This gives us:I(θ≥xi) = I(θ≥xn) ∏ I(θ≥xi; i=1,2,...,n-1) = I(θ≥xn)This can be simplified further by noting that if xn≥θ, the likelihood function would be 0 since the pdf of the exponential distribution is 0 for negative values of x. Therefore, the second indicator function can be written as:I(θ≥xn) = I(θ≥S)We can substitute the above expressions in the likelihood function and ignore the constant factors. This gives us:L(θ;x1,x2,…,xn) = I(θ≥S) ∏ I(xi≥S; i=1,2,...,n-1)We can see that the likelihood function is a function of θ only through the indicator function I(θ≥S). Therefore, S=X(1) is sufficient for θ.Answer:Thus, we have shown that S=X(1) is sufficient for θ.

To know more about random visit:

https://brainly.com/question/30789758

#SPJ11

Answer:

y = (1/2)x + 12

Step-by-step explanation:

(-2, 11), (4, 14)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁        14 - 11             3             3            1

m = ------------ = ------------- = ----------- = --------- = -------

        x₂ - x₁          4 - (-2)       4 + 2          6           2

y - y₁ = m(x - x₁)

y - 11 = (1/2)(x - (-2))

y - 11 = (1/2)(x + 2)

y - 11 = (1/2)x + 1

  +11               +11

-------------------------------

y = (1/2)x + 12

I hope this helps!

Answer:

infinite

Step-by-step explanation:

because the equations are the same so any number will satisfy them both

Answer:

Infinitely many solutions

Step-by-step explanation:

Since, graphs of both the equations would be same, so given system of linear equations have infinitely many solutions.

The second linearly independent solution of the equation ty" + (3t - 1)y + (2t - 1)y = 0, where t > 0 and yı = e^-t is a solution, can be found using the reduction of order method. The second solution is \(y_2 = te^{-t}\).

To find the second solution using the reduction of order method, we assume the second solution has the form y2 = u(t) * y1, where y1 = e^-t is the given solution.

We differentiate y2 with respect to t to find y2' and substitute it into the differential equation:

\(y_2' = u(t) * y_1' + u'(t) * y_1\)

Plugging in \(y_1 = e^{-t}\) and \(y_1' = -e^{-t}\), we have:

\(y_2' = u(t) * (-e^{-t}) + u'(t) * e^{-t}\)

Now we substitute y2 and y2' back into the differential equation:

\(t * (u(t) * (-e^{-t}) + u'(t) * e^{-t}) + (3t - 1) * (t * e^{-t}) + (2t - 1) * (te^{-t}) = 0\)

Expanding and rearranging terms, we get:

\(t * u'(t) * e^{-t} = 0\)

Since t > 0, we can divide both sides of the equation by t and e^-t to obtain:

u'(t) = 0

Integrating both sides with respect to t, we find:

u(t) = c

where c is an arbitrary constant. Therefore, the second linearly independent solution is \(y_2 = e^{-t}\), where \(y_1 = e^{-t}\) is the given solution.

In summary, using the reduction of order method, we find that the second linearly independent solution of the given differential equation is \(y_2 = e^{-t}\).

Learn more about differential equation here:

https://brainly.com/question/25731911

#SPJ11

The required answers are 6) 150 degree 8) 215 degree.

If the terminal edge of an angle in standard position is on the x- or y-axis, the angle is referred to as a quadrantal angle. Quadrantal angles include 0, 90, 180, 270, and 360 degrees, among others. The images below show examples of some of these angles.

To convert radian to degree just multiply 180/π to radian.

6) 5π/6

= \($\frac{5\pi}{6}\times\frac{180}{\pi}\)

= 150 degree

8) to lie 35 degree in third quadrant add 180 degree to it

= 180 + 35

= 215 degree

Thus, required answers are 6) 150 degree 8) 215 degree.

To know more about Angle visit:

brainly.com/question/28451077

#SPJ1

Answer:

Complementary angles do not have to be adjacent because they add up to 90 degrees, regardless of their placement. Vertical angles are always congruent because two intersecting lines will always form four angles that are equal in measure. The pairs of opposite angles which are formed by two intersecting lines will always be equal in measure.

Step-by-step explanation:

35 . 928    is already in decimals

Thirty five and nine hundred and twenty-eight thousandths can be written as :

35   928/1000     which reduces to 35  116/125  

Congruency is a term used to describe two objects with the same shape and size.

In this case, two triangles are congruent if they have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position.

For instance,

these triangles are congruent. They have the same sides but in different position.

Another example is

In this case the congruency is about angles. These 2 triangles have the same angles and the same sides but in different positions.

Another instance is

They are the same triangles but in different positions.

From the first question we can see that both triangles are congruent.

This imply that they are the same but in different position:

We can note that angle C is equal to angle T, therefore

In the same way, angle U is equal to angle B, then we have

We can find angle A by noticing that the interior angles of a triangle add up 180, that is

Since angle V is equal to angle A, also V=66

Answer:

C. √2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

y = sec(x)

x = π/4

Step 2: Differentiate

Step 3: Evaluate

The solution is: Last year some of their freshman students had a score of less than 1320 on the exam.

Last year at least one of their freshman students had a score of at least 1160 on the exam.

The first and fifth options are the correct answers.

Given that

the average score of freshmen students' on the college entrance exam last year was 1160,

In basic statistics, the mean or the average of a set of data simply refers to a value that is a good and acceptable representative of the whole data observed. By representation, this means not all in the class of observed data has the exact value that is given as the average, but the better majority of the observed data is very close to the value taken as average or mean.

If the college gave the average exam score as 1160, what this simply implies is that the college is very confident that the better majority of the students scored either slightly below 1160, or slightly above 1160. Having an exact score of 1160 is a little bit possible but having a little less than or a little more than 1160 is highly possible.

So the figure given as average doers not actually refer to the score of any particular student(s) but it actually represents a large majority of the test participants, such that if any one of them is chosen randomly, there is a very good chance that he would score either a little below 1160, or a little above 1160.

It can be deduced that

Last year some of their freshman students had a score of less than 1320 on the exam.

Last year at least one of their freshman students had a score of at least 1160 on the exam.

The first and fifth options are the correct answers.

learn more on average refers to the mean click:

https://brainly.com/question/15869882

#SPJ1

Answer:

2(lw+lh+wh)

Step-by-step explanation:

2(lw+lh+wh) using distributive property

The equivalent expression for 2lw+2lh+2wh is  2(lw + lh + wh).

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know that distributive property states a(b + c) = ab + ac.

Given, The surface area of a rectangular prism with length l, width w, and height h is given by the expression 2lw + 2lh + 2wh.

Now in 2lw + 2lh + 2wh, 2 is common to each term and we'll take it out.

= 2(lw + lh + wh).

learn more about the distributive property here :

https://brainly.com/question/5637942

#SPJ2

Answer:

y = 3x - 2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

check the above attachment to verify the answer.

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

Read more on Z score here: brainly.com/question/25638875

#SPJ1

Straight-line graphs are commonly referred to as "linear graphs" or "linear equations."

We have,

A straight line graph, often referred to as a linear graph or linear equation, represents a relationship between two variables that can be expressed by a linear equation in the form y = mx + b.

In this equation, 'x' and 'y' are the variables, 'm' is the slope of the line, and 'b' is the y-intercept (the point where the line crosses the y-axis).

The slope 'm' determines the steepness or incline of the line.

A positive slope indicates the line rises as 'x' increases, while a negative slope indicates the line descends as 'x' increases.

The y-intercept 'b' represents the value of 'y' when 'x' is zero, determining where the line crosses the y-axis.

Thus,

Straight line graphs are commonly referred to as "linear graphs" or "linear equations.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ4

Answer:

xy is the amount of hours he works each day

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

Answer:

-12?

Step-by-step explanation:

I think it might be that beacause 4 - 8 = -4 so then -4 x 3 = -12??? I am just guessing!!:)

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

For more questions on Bulletin board

https://brainly.com/question/30369348

#SPJ8

a) -85 degrees is a positive co-terminal angle of -445 degrees and -805 degrees is a negative co-terminal angle of -445 degrees.

b) 380 degrees is a positive co-terminal angle of 740 degrees and 20 degrees is a negative co-terminal angle of 740 degrees.

(a) -445 degrees:

To find a positive co-terminal angle, we can add 360 degrees to -445 degrees:

-445 + 360 = -85

To find a negative co-terminal angle, we can subtract 360 degrees from -445 degrees:

-445 - 360 = -805

(b) 740 degrees:

To find a positive co-terminal angle, we can subtract 360 degrees from 740 degrees:

740 - 360 = 380

To find a negative co-terminal angle, we can subtract 720 degrees from 740 degrees:

740 - 720 = 20

To know more about angle here.

https://brainly.com/question/4316040

#SPJ4

The correct option is B: V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the Volume of the solid generated when region R is revolved about the vertical line x = 1.

The volume of the solid generated when region R is revolved about the vertical line x = 1, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by revolving a region R about a vertical line is given by:

V = 2π ∫[a,b] x * f(x) dx

In this case, since we are revolving the region R about the vertical line x = 1, the limits of integration will be from y = 2 (where the horizontal line y = 2 intersects the graph y = 2x - 2) to y = 0 (where the graph y = 2x - 2 intersects the x-axis).

Let's analyze the options provided:

A. π ∫[1,2] ((y + 2)/2 - 1)^2 dy

B. π ∫[0,2] ((y + 2)/2 - 1)^2 dy

C. π ∫[1,2] (2 - (2x - 2))^2 dy

D. π ∫[0,2] ((y + 2)/2)^2 - 1^2 dy

Option A: The limits of integration are incorrect. We need to integrate with respect to y, not x.

Option B: This appears to be the correct integral setup, integrating with respect to y and using the correct limits of integration.

Option C: This option incorrectly uses the expression (2 - (2x - 2))^2, which doesn't match the function y = 2x - 2.

Option D: The limits of integration are incorrect. We need to integrate from y = 2 to y = 0.

Therefore, the correct option is B:

V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the volume of the solid generated when region R is revolved about the vertical line x = 1.

For more questions on Volume .

https://brainly.com/question/27535498

#SPJ8

The probability of being chosen as the kicker or the quarterback from a team of 42 boys is approximately 0.048 or 4.8%.

To find the probability of being chosen as the kicker or the quarterback, we need to add the probability of being chosen as the kicker to the probability of being chosen as the quarterback, and then subtract the probability of being chosen as both the kicker and the quarterback (since a person cannot fill both roles simultaneously).

Let P(kicker) be the probability of being chosen as the kicker, P(quarterback) be the probability of being chosen as the quarterback, and P(kicker and quarterback) be the probability of being chosen as both the kicker and the quarterback. Then:

P(kicker or quarterback) = P(kicker) + P(quarterback) - P(kicker and quarterback)

Since there is only one kicker and one quarterback to be chosen, the probability of being chosen for each role is 1/42. Therefore:

P(kicker) = 1/42

P(quarterback) = 1/42

P(kicker and quarterback) = (1/42) × (1/41) = 1/1722

Substituting these values into the formula, we get:

P(kicker or quarterback) = 1/42 + 1/42 - 1/1722

P(kicker or quarterback) ≈ 0.0476

Rounding to one decimal place, we get:

P(kicker or quarterback) ≈ 0.048

Therefore, the probability of being chosen as the kicker or the quarterback from a team of 42 boys is approximately 0.048 or 4.8%.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Answer:

(-2,0)

Step-by-step explanation:

x row -6, -4, -2, 0, 2, 4, 6

f row  -2,  -1,  0, 0, 2, 4, 8

It goes from least to greatest.

Answer:

(-2,0)

Step-by-step explanation: Edu 2020 Unit Test

Answer:

sì

Step-by-step explanation:

You can turn a decimal into a fraction.

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

Read more on dilation here: brainly.com/question/20482938

#SPJ1

The value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

\(ax^2+bx+c=0\)

Here, (a,b,c) are the real numbers and (x) is the variable.

The given quadratic equation in the problem is,

\(x^2 +bx +16 = 0\)

The only solution of the equation is x = 4. Thus, put the value of x in the above equation.

\(\begin{aligned}\\(4)^2 +b(4) +16 &= 0\\16+4b+16&=0\\4b&=-32\\b&=-\dfrac{32}{4}\\b&=-8\\\end\)

Thus, the value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.

To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.

The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.

To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:

Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.

Calculate the first quartile (Q1) and the third quartile (Q3).

Q1: The median of the lower half of the data set (8, 13, 14) is 13.

Q3: The median of the upper half of the data set (19, 22, 36) is 22.

Calculate the interquartile range (IQR).

IQR = Q3 - Q1 = 22 - 13 = 9.

Step 4: Identify any outliers using the 1.5 IQR rule.

Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.

Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.

Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.

Therefore, the correct answer is D) none.

for such more question on data set

https://brainly.com/question/4219149

#SPJ8