For the line segment whose endpoints are l(0, 1) and m(2, 8), find the y value for the point located 3 over 5 the distance from l to m. (6 points) group of answer choices 5.2 3.5 4.8 1.6

Answers

Answer 1

The y value or y-coordinate for the point located 3 over 5 the distance from l to m is equals to the 5.2. So, the right choice for answer of this problem is option (a).

We have a line segment, lm, with endpoints are l(0, 1) and m(2, 8). We have to determine the y value or y coordinate for the point located 3 over 5 the distance from l to m. The distance between two points is calculated by using the distance formula. Here, x₁ = 0 , x₂ = 1, y₁ = 2, y₂ = 8

so, distance between endpoints l(0,1) and m(2,8) is lm = √2² + ( 8 - 1)²

= √4 + 49 = √53

But we need only y-coordinate of point. So, the distance between l and m on y-axis is calculated by substracting of the y-coordinate of l from y-coordinate of m, i.e., = 8 - 1 = 7

Now, 3 over 5 of distance from l to m is

= (3/5)× 7

= 4.2

So, distance of required point on y-axis is 4.2 units. The y-coordinate of point is

= y-coordinate of l + 4.2

= 1 + 4.2 = 5.2

Hence, required point value is 5.2.

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For The Line Segment Whose Endpoints Are L(0, 1) And M(2, 8), Find The Y Value For The Point Located

Related Questions

Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 1 1/2 feet, altitude 6 inches.

Answers

Answer:

69

Step-by-step explanation:

11/2 × 6 is 69...69 is my answer

An exterior angle and the interior angle of a regular polygon added pressure toast to 7 find the number of sides of the polygon

Answers

Step-by-step explanation:

I hope this answer is helpful ):

An exterior angle and the interior angle of a regular polygon added pressure toast to 7 find the number

14+3n=5n-6 solve for n

Answers

Answer:

5n-3n= 14-6

2n=8

n=8/2

n=4

..............................................

Answer: n = 10

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

14 + 3n = 5n - 6

3n - 5 = -6 - 14

-2n = -6 - 14

-2n = - 20

n = 10

<3

PLEASE HELP URGENT

B Pick the inequality that matches the graph shown. Show all of your work to explain the
choice you selected. (See Ex. 1)

PLEASE HELP URGENT B Pick the inequality that matches the graph shown. Show all of your work to explain

Answers

Answer:

  B.  y > 3x -7

Step-by-step explanation:

We can choose the correct inequality based on the y-intercept and the shading.

Y-intercept

The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.

Shading

The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...

  y > ( ) . . . . eliminates choice A

and

  x < ( )  or  ( ) > x . . . . eliminates choice C, confirms choice B

The inequality that matches the graph is y > 3x -7.

__

Additional comment

For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a positive coefficient. If the coefficient is negative, you can do either of ...

add the opposite of that variable term to both sides of the equationreverse the inequality symbol

That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.

im going insane can someone please help me…

im going insane can someone please help me

Answers

The Equation formed from the statement is 50 + 3x and the Graph plotted will be Staright Line

What is a Linear Function?

Linear functions have a straight line as their graph. The following is the form of a linear function. y = f(x) + a+bx There is one independent variable and one dependent variable in a linear function.

Solution:

Dani is correct because the statement can be modelled into a linear function i.e. 50 + 3x here, x is the area in square foot.

And when we plot the graph for the same the garph will be a straight line

Therefore, Dani is Correct

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Please help me I'm in fourth I'll give brainliest if you have a good answer :)

Please help me I'm in fourth I'll give brainliest if you have a good answer :)

Answers

Answer:

1755

Step-by-step explanation:

When finding area, you want to multply the length, 45, by the width, 39. This yields the answer to the total area: 1755

17.55in —————————————

To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her eight hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself. How long will it take Tracy and Dave to complete the task together

Answers

Working together, they can complete the task in 4 hours and 48 minutes.

What is the concept of time and work?

A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.

Tracy needs 8 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/8 hours = 1/8 task per hour.

This means that she can complete 1/8 of the task per hour.

Dave needs 12 hours to complete the task, then his ratio is:

1 task/12 hours = 1/12 task per hour.

This means that he can complete 1/12 of the task in one hour.

If they work together, then the ratios can be added:

R = \(\frac{1}{8}\) +  \(\frac{1}{12}\)

  = \(\frac{3+2}{24}\)

  = \(\frac{5}{24}\)

So, working together, in one hour they can complete  \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:

\(\frac{5}{24}\)×\(x\)= 1 task

x = \(\frac{24}{5}\) hours = 4.8 hours

knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.

Then x = 4 hours and 48 minutes.

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Nick can run at a speed of 25 feet per second. Which 2-variable equation models how many feet he can run?

A) x • m = 25

B) x2 + m2 =25

C) 25 ÷m = x

D) 25x = m

Answers

The correct 2-variable equation that models how many feet Nick can run is: 25x = m,

Hence, option (d) is correct choice.

As per the data given,

We have,

Nick can run at a speed of 25 feet per second.

We need to convert the above statement in 2-variable equation models

We can write it as:

Distance covered by Nick will be:

25x = m

where x is the time in seconds that Nick runs and

m is the distance in feet that Nick runs.

The equation represents the relationship between time and distance using the constant speed of 25 feet per second.

The distance travelled is equal to the speed multiplied by the time.

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A girl is pedaling her bicycle at a speed of .3 km/min. How far will she travel in 2 hours? Hint: You will have to convert hours to minutes before plugging into the formula.

Question 4 options:

a. 72 km
b.54 km
c.90 km
d.36 km

Answers

Answer:

a i dont know im grade 6 maybe c or d

A girl is pedaling her bicycle at a speed of .3 km/min. The distance she travel in 2 hours is 36km

What is Distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Given,

Speed = 0.3km/min

Time = 2hours

The girl's speed is listed as 3 km/min. She can ride 0.3 kilometers in a minute, according to this. She commutes for 2 hours.

First, let's change this time to minutes.

2hours x 60min = 120min

The straightforward formula links the kinematic quantities of speed, distance, and time together.

Distance = speed x time

Distance = 0.3 x 120

Distance = 36km

Hence, The distance she travel in 2 hours is 36km

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the perimeter of a square is 28 feet. what is its area in square feet?

Answers

The area of the square is 49ft squared
Since the formula for the perimeter of a square is 4s then
4s=28
s=7

Now the area of square is s^2=a
(7)^2=a
49=a

Write 8.05 as a mixed number and as an improper fraction.

Answers

Given the decimal value 8.05.

First we need to express as a fraction as shown;

8.05 = 805/100

Write in ots simplest form

805/100 = 5 * 161/5*20

805/100 = 161/20

Hence the decimal 8.05 as an improper fraction is 161/20

Express as mixed fraction;

161/20 = [(20*8) + 1]20

161/20 = (20*8)/20 + 1/20

161/20 = 8 + 1/20

161/20 = 8 1/20

Hence the deco

The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.

Answers

For example, in the second week is
40 x 2 = 80.
In the third week, 40 x 2^2 = 160
So, In the eight week it is 40 x 2^7 = 5120.

an architect designs a diagonal path across a rectangular patio. the path is 29 meters long. the width of the patio is x meters, and the length of the path is 5 meters more than the width. which equation can be used to find the dimensions of the patio? 0.5(x)(x 5)

Answers

The equation of the path to find the dimensions of the patio is x² + (x + 5)² = 841.

Here we have to find the equation of the dimensions of the patio.

Data provided:

the path = 29 meters

length of the path is 5 meters more than the width of the path.

So let us assume that the length of the path is x

with this, the width of the path is x + 5

The formula for the diagonal:

Diagonal²  = length² + width²

Putting the data we have:

29² = x² + (x +5)²

841 = x² + (x+5)²

Therefore we get the equation as x² +(x + 5)² = 841.

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by substitution.
3x-y=-13
y=4

Answers

Answer:

(-3,4)

Step-by-step explanation:

3x-y=-13

y=4

Substitute the second equation into the first equation

3x - 4 = -13

Add 4 to each side

3x -4+4 = -13+4

3x = -9

Divide by 3

3x/3 = -9/3

x = -3

(-3,4)

Pls help

Zoom in to view


Thanks

Pls help Zoom in to view Thanks

Answers

Answer:

1. x=6 y=6

2. x=3√2 y=3

3. a=5√2 b = 5

4. u=2 v=√2

5. x=2√2 y=2

6. x=6 y=3√2

Step-by-step explanation:

i need help on this, pls :)
what is the value of a?

i need help on this, pls :)what is the value of a?

Answers

the value of A is 90.

Find an equation for the plane containing the two (parallel) lines
v1 = (0, 1, −8) + t(6, 7, −5) and v2 = (8, −1, 0) + t(6, 7, −5).

Answers

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.

Answers

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

What is the inverse of a function?

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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how to draw the horizontal alignment for the curve on that
shap on 12D ?

Answers

To draw the horizontal alignment for the curve on that shape on 12D, follow these steps:

Step 1: First of all, we have to determine the horizontal alignment for the curve. The horizontal alignment consists of a series of tangents, curves, and spirals.

Step 2: After that, we have to select the appropriate curve radius for the design speed, the superelevation, and the allowable sight distance.

Step 3: Next, plot the vertical curves with the curve layout. A design speed of 50 mph and a curve radius of 1200 ft will be used in this example.

Step 4: Next, we have to calculate the curve length using the formula Lc = Rθ. Here, Lc is the curve length, R is the radius, and θ is the curve angle. In this case, the curve angle is 4 degrees, so the curve length will be 83.775 ft.

Step 5: Then, we will plot the curve using a tangent-tangent-radius (TTR) method. The TTR method involves drawing a tangent to the curve's point of intersection, then drawing another tangent to the next point of intersection, and finally drawing the curve's arc with the given radius. This process is repeated until the curve's entire length is completed.

Step 6: Finally, label the horizontal and vertical curves, including the stationing and curve radius.

That's how we draw the horizontal alignment for the curve on that shape on 12D.

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Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Step
1
try
Statement
D
AAED ~ ABEC
AC BD
Type of Statement
E
с
Note: AC and DB are segments.
B

Given: AAED ABEC andAC BD.Prove: AABD ABAC.Note: quadrilateral properties are not permitted in thisproof.Step1tryStatementDAAED

Answers

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

How may the ABC def be demonstrated?

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.

ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).

If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).

If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.

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In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.

Answers

the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

someone help please

someone help please

Answers

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

A circle has a radius of 7 in. Find the radian measure of the central angle 0 that intercepts and arc of length 15 in.
Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

The measurement of the central angle is 2.15 radians.

What is central angle?

The central angle is a circle-shaped angle with two arms and a vertex in the centre. The circle's arc is intersected by the two arms of the circle's two radii twice. The central angle can be used to divide a circle into sectors.

Given:

The radius of the circle is 7 in

Length of the arc = 15 in

For solving the problem we followed the formula given below

s = rθ

s is the length of arc, θ is the central angle, and r is the radius of the circle.

So, 15 = 7θ

Or, θ = 15/7

Or, θ = 2.142 radians ≈ 2.15

Hence, the measurement of the central angle is 2.15 radians.

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What is the algebraic expression for the difference between seven times a number and three times that number?​

Answers

Given

An algebraic expression is the difference between seven times a number and three times that number.

To find:

The algebraic expression.

Solution:

Let x be the unknown number.

Multiplication is used for times and subtraction is used for difference.

7 times of a number = 7x

3 times of that number = 3x

The difference between seven times a number and three times that number is

\(Difference = 7x-3x\)

\(Difference =4x\)

Therefore, the algebraic expression for the given statement is 7x-3x and its simplified form is 4x.

Answer:

I got you covered, friend!

the answer you want is 7x-3x

Step-by-step explanation:

7x-3x means the difference between seven times a number (x) and three times that number (also x)

have a great day

brainliest?! plzzzzzzzzzzz

brainliest?! plzzzzzzzzzzz

Answers

Answer:

F

Step-by-step explanation:

she spins it 2 times and there's 4 different spinners on the board

there's 1 * on the board so

* = 1/4

there's 1 & on the board so

& = 1/4

its 1/4 for both

so 1/4 + 1/4 = 2/8 or .25

2/8 = 1/4

Answer:

f

Step-by-step explanation:

1.
Caroline and Anusha want to track the cost of ice cream at their local ice cream
shop, Rhody's Ice Cream, based on how many scoops of ice cream they buy.
Because they are recurring customers, they pay a monthly fee of $2, whether or
not they buy ice cream that month. Last month, Anusha paid $4 for 3 scoops of ice
cream. Two months ago, Caroline paid $7 for 4 scoops of ice cream. What linear
equation can we use to describe this relationship? Let the x-axis be the amount of
scoops, and the y-axis be the cost.

Answers

By answering the presented question, we may conclude that As a result, the linear equation describing the link between the number of scoops and the cost is as follows: y = (-5/12)x + (16/3)

what is slope?

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x). The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b. The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

To get the linear equation describing the link between the number of scoops and the price,

slope = (Anusha's scoops minus Caroline's scoops) / (Anusha's scoops minus Caroline's scoops)

slope = ((4/3) - (7/4)) / (3 - 4)

slope = (-5/12)

y - y1 = m(x - x1) (x - x1)

where m is the slope and (x1, y1) is a line point. At a point on the line, we can utilise either Anusha's or Caroline's data. Let's look at Caroline's data:

y - 7 = (-5/12)(4) (4)

y - 7 = (-5/3)

y = (-5/3) + 7 = (16/3)

As a result, the linear equation describing the link between the number of scoops and the cost is as follows:

y = (-5/12)x + (16/3)

where y is the price and x denotes the number of scoops.

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PLEASE SOMEONE ANSWER THIS ASAP!!!

Given the geometric sequence with the first three terms shown below, answer the following questions.

4,-8, 16,...

Write the explicit formula for this sequence.

What is the 12th term of the sequence?

PLEASE ANSWER I HAVE AN IMAGE INCLUDED IF NEEDED !!

PLEASE SOMEONE ANSWER THIS ASAP!!!Given the geometric sequence with the first three terms shown below,

Answers

Step-by-step explanation:

r = -8/4 = -2

t1 = 4

the general formula :

tn = t1. r^(n-1)

tn = 4. (-2)^(n-1)

t12 = 4. (-2) ^(12-1)

= 4. (-2)^11

= 4. (-2,048)

= - 8,192

What is the radius of a circle whose equation is x2 y2 8x â 6y?

Answers

The radius of a circle with equation is x² + y² + 8x - 6y + 21 = 0 is 2  units .

In the question ,

it is given that ,

the equation of circle is ⇒ x² + y² + 8x - 6y + 21 = 0 ,

we know that the general equation of the circle is x²+y²+2fx+2gy+c=0

so , the radius of the circle is calculated using the formula ,

radius = √(f² + g² - c)

On comparing the given equation with general equation

we get , the values of f as 4 and g as -3 .

So after substituting the values of f , g and c in the radius formula ,

we get ,

radius = √(16 + 9 - 21)

= √(16 + 9 - 21)

= √(25 - 21)

= √(4) = 2 .

Therefore , the radius of given circle is 2 units .

The given question is incomplete , the complete question is

What is the radius of a circle whose equation is x² + y² + 8x - 6y + 21 = 0  ?

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Given the following sections: 1 Hour, 33 Minutes, 19 Seconds Station 2+020 Station 2+080 Base for cut =12 m, Sideslope for cut = 1.5:1 Base for fill =12 m, Sideslope for fill = 2:1 Required: 1. What is the stationing of the end of excavation? 2. Find the volume of fill by end area method. 3. Compute the volume of excavation by end area.

Answers

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

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6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.

Answers

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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There are 450 students at a middleschool. In a survey, 90 of the studentschose math as their favorite subject.What percentage of students chose mathas their favorite subject?A 9%B 2%C 20%D 0.2% Why does Washington admire the soldiers in the army? The principal at Orchard Ridge High School signs each graduate's diploma by hand. It takes him 30 seconds to sign 4 diplomas. What do I put in the table How do you express without exponents [tex](3a^3)^2[/tex] How many edges does this shape have? A. 6 B. 12 C. 16 D. 18 PLEASE HELP write 3/53 as a percentage.Round your answer to the nearest tenth of a percent. anna is biking at x miles per hour. sara bikes at 10 mi/h. which expression represents the average of annas and saras speeds? Refer to newsela article "climate change in Hawaii and us tropical island."What is the authors purpose in mentioning wildlife in the artical can you find the main idea please2. Money is pretty old, but nobody knows exactly how old it is. Perhaps the oldestevidence of people using money is in the Code of Ur-Nammu. The Code of Ur-Nammu is a system of laws written around 2050 BC. That's like 4,000 years ago!Many of Ur-Nammu's laws carry fines, such as one stating that if a man is proveninnocent of sorcery, his accuser must pay three shekels. This ancient documentshows me two things: Ur-Nammu didn't tolerate false witch-hunts, and money isvery old. 3/4(6x + 2) = 15Help me please ABCD is a square. Find the measure of x, y, AB and DC. Write a system of equations or inequalities to represent eachsituation. Write the systems in standard form and line upthe variables.1. The middle school has a total of 456 students. There are 54 moreseventh graders than eighth graders. Which fractions are equivalent to 812? a(n) ____ is a predefined procedure that you can call (or invoke) when needed. a. object b. instance c. class d. method. Please answer all three questions!Given the function f (x) = x2 Inx, x > o find the x-value of all critical points. 0 0.607 -0.552 O 1.282 Does the function f (x) = x? Inx, x >o have... 0 a max? M a min? M a POI? No max/min/POI. T Answer only if you're certain, please.Arm & Hammer recently used a clever freestanding insert in Redbook, Good Housekeeping, and Martha Stewart Living magazines, showing ways its baking soda can be used (e.g., in refrigerators and freezers to absorb odors) beyond its initial purpose as a baking ingredient. This illustrates how consumer-oriented sales promotions:Group of answer choicesnone of these.are employed to stimulate trial.are employed to combat competitive activity.are employed to increase consumption of an established brand.are employed to introduce a new brand. help5. What is the centripetal acceleration of a train moving along a curve with a radius of 400 m at a speed of 5 m/s? The market risk premium for next period is 4.41% and the risk-free rate is 2.84%. Stock Z has a beta of 0.852 and an expected return of 12.55%. Compute the following: a) Market's reward-to-risk ratio : b) Stock Z's reward-to-risk ratio : A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 140 ounces of a mixture that is 15% salt. How manyounces of water and how many ounces of the 35% salt solution should she use? research on organizational change has shown that, to be effective, change should take place as slowly as possible. true false