Here is a diagram of a person standing next to a tree.
The diagram shows two centimeter rulers.
The tree and the person are drawn to the same scale.
The person is approximately 1.75 m tall.
Using the scale diagram, estimate the height of the tree in meters.

15 points + Brainiest + Heart

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2  

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9  

a = -0.9654

Therefore, value of x is -0.9654

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

Learn more about the probabilities here: https://brainly.com/question/24710931

Answer:

Step-by-step explanation:

There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45.  The only way you could do this is if you have a fraction supporting the variable.

1/6x = 45

~Multiply 6 to both sides

x = 270

Best of Luck!

Answer:

[tex]\huge\boxed{\$ 270}[/tex]

Step-by-step explanation:

We can break this problem down to understand it.

Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].

After splitting it amongst him and his 5 friends, he wants everyone to have $45.

Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.

Chad + 5 people = 6 people

We can write an equation for this problem.

[tex]\displaystyle \frac{1}{6}x=45[/tex]

To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).

[tex]45 \cdot 6 = 270[/tex]

Hope this helped!

Use the given functions to set up and simplify PM

M =

PA =

8x - 1

M=

2x + 17A

PM=

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum

Answer:

11

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

directly proportional means it is in the form

y=kx, given y=44 and x=4

44=4k

k=11

Answer:

He is 15 years old.

Step-by-step explanation:

I hope this helps :)

Answer:

Artaud is 15 years old

Step-by-step explanation:

Imagine Artaud is x yearrs old.

Now, turning the words in the problem into math equations, we get:

-x + 42 = 27.

Solving for x, we get:

-x = -15

x = 15.

So, Artaud is 15 years old.

Answer:

A

Step-by-step explanation:

The fact you need to use is 47%

47/100 * 47/100 = 2209 / 10000 = 0.221

Answer:

1. Y = -4/3

2. 2x = 2y + 10

Step-by-step explanation:

1.  y =− 2y − 4

Step 1: Add 2y to both sides.

y + 2y = −2y − 4 + 2y

3y = −4

Step 2: Divide both sides by 3.

3y/3 = -4/3

y = -4/3

2.  solve for x

y=1/2x-5

Step 1: Flip the equation.

1/2x−5=y

Step 2: Add 5 to both sides.

1/2x−5+5=y+5

1/2x=y+5

Step 3: Divide both sides by 1/2.

1/2x/1/2=y+5/1/2

x=2y+10

not sure if this will help but here you go :)

Answer:

2x=8

x=4

Step-by-step explanation:

Answer:

The width of the walkway is of 12.86 feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

A = lw

A rectangular garden has a width of 10 feet and a length of 14 feet.

So the area of the rectangular garden is of 10*14 = 140 square feet.

The area of the garden and the walkway together are 320 square feet.

So the area of the walkaway is of 320 - 140 = 180 square feet.

What is the width of the walkway

It has the same length of the garden, of 14. So

[tex]14w = 180[/tex]

[tex]w = \frac{180}{14}[/tex]

[tex]w = 12.86[/tex]

The width of the walkway is of 12.86 feet.

Answer:

[tex]Factor = 220 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2\frac{1}{2}[/tex]

[tex]Final = 5\frac{1}{2}[/tex]

Required

Determine the factor of increment

First, we calculate the percentage increment

[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]

Express fractions as decimals

[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]

[tex]\% Increment = \frac{300}{2.5} \%[/tex]

[tex]\% Increment = 120 \%[/tex]

So, the factor of increment is:

[tex]Factor = 100\% + Increment[/tex]

[tex]Factor = 100\% + 120 \%[/tex]

[tex]Factor = 220 \%[/tex]

Answer:

B. A regular polygon is a shape with sides that are all equal to each other.

We see that for shape B, the sides are not equal to each other, as some sides are longer than others.

Hope this helps!

Answer:

[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal  probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]

Answer:

The clock will be 50 minutes fast

Step-by-step explanation:

Proportions

It's known a clock gains time at a steady state, or constant rate.

At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.

From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes

Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.

When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.

Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.

The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.

The clock will be 50 minutes fast

By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.

In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:

90² = 55² + 50² - 2 · 55 · 50 · cos X      (1)

X ≈ 117.916°

To learn more on law of the cosines: https://brainly.com/question/17289163

#SPJ1

18.9 or 18 9/10 or b or the second option.

Answer:

it's 18 9/10

Step-by-step explanation:

Answer:

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Step-by-step explanation:

As given ,

                                       Windbreakers          Rain breakers              Total

Finishing time                         59 min                     58 min                   61 hr

Packaging time                        21 min                      34 min                   68 hr

Profit                                          28                                41

Let

The number of windbreaker jackets they should produce = x

The number of rain breaker jackets they should produce = y

As given,

The company wants to maximize profit.

⇒ Maximum Profit , p = 28x + 41 y

Now,

As 1 hour = 60 min

⇒61 hours = 61×60 = 3660 min

and 67 hours = 67×60 = 4020 min

∴ we get

The equations become

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

So, the Linear Programming Problem (LPP) for this problem is -

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Answer:

x= 2y - 3/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=2y - 3/2

Step-by-step explanation:

The slope of the line is 1.

The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.

Answer:

1

Step-by-step explanation:

9514 1404 393

Answer:

  27/36

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

  tan C = AB/CB

  tan C = 27/36

Answer:

16 : 30,  16 to 30,  16/30

Step-by-step explanation:

Answer:

The ratio of boys to girls in the simplest form is 7:8

Step-by-step explanation:

There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.

Step-by-step explanation:

cos theta=3/5

theta=53.13°

tan theta =1.33

Answer:

Step-by-step explanation:

1). Let the distance of the race = x feet

   Speed of hare = 250 feet per hour

   If it takes the time to complete the race = t hours

   Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

   250 = [tex]\frac{x}{t}[/tex]

   t = [tex]\frac{x}{250}[/tex]

2). Speed of tortoise = 50 feet per hour

   Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]

   So the equations will be,

   t = [tex]\frac{x}{250}[/tex] -------(1)

   [tex]t_1=\frac{x}{50}[/tex] -------(2)

3). Since, tortoise took 8 hours longer than hare,

   [tex]t_1[/tex] - t = 8

   [tex]\frac{x}{50}- \frac{x}{250}=8[/tex]

   [tex]\frac{(5-1)x}{250}=8[/tex]

   [tex]\frac{4x}{250}=8[/tex]

   x = [tex]\frac{250\times 8}{4}[/tex]

   x = 500 feet  

Answer:

1%

Step-by-step explanation:

Answer:

1% pf the population scored above you

Step-by-step explanation:

make brainliest