URGENT. Geometric Probability.

URGENT. Geometric Probability.

Answers

Answer 1

Answer:

Hello,

Step-by-step explanation:

heigth of the equilateral triangle:

[tex]h=3*\dfrac{\sqrt{3}}{2}[/tex]

Area of the triangle:

[tex]A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\[/tex]

Area of the disk:

[tex]S=\pi*4^2=16\pi\\\\[/tex]

Probability:

[tex]p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}[/tex]

Answer 2

Answer:

Step-by-step explanation:

The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:

[tex]A=\frac{1}{2}(6)(6.5)\\A=19.5[/tex]

The area of the circle is:

[tex]A=\pi(4)^2\\A=16\pi\\A=50.26548[/tex]

Divide the area of the triangle by the area of the circle:

[tex]\frac{19.5}{50.2654}*100=38.8[/tex]%


Related Questions

Identify the slope and y-intercept of the line with the given equation. Use the slope and y-intercept to graph the equation.

1. y= -2x+3

2. y= -4-x+1

3. y= -2

4. 3x+y= -1

5. 2x-3y=0

6. 5x-2y=-4

Answers

Answer:

1. -2, 3

2. 4, -1

3. 0, -2

4. -3, -1

5. 2/3, 0

6. 5/2, 4

Step-by-step explanation:

I need help I don’t understand this

Answers

Answer:

[tex]\frac{13}{5}=2\frac{3}{5}[/tex]

Step-by-step explanation:

Given fraction is [tex]\frac{13}{5}[/tex].

To convert this fraction into a mixed number, divide the numerator 13 by the denominator 5.

5) 13 (2

  10

    3

Here, quotient = 2

Remainder = 3

Divisor = 5

Therefore, given fraction can be written as,

[tex]2\frac{3}{5}[/tex]

Please I need help who want to earn 13 points ..

Answers

Answer:

Triangle ISK

Step-by-step explanation:

Answer:

Triangle ISK

Step-by-step explanation:

if the angles and sides of one triangle are equal to the corresponding sides and angles of the other triangle, they are congruent.

∠Q = ∠I

∠R = ∠S

∠S = ∠K

Will give Brainliest Please help me!

Derrick and jimmy start working on the same day. Derrick earns $30 every day. Jimmy earns $1 everyday on the first day. Every day thereafter, Jimmy earns $1 on the 1st day. Everyday thereafter, Jimmy earns $1 moe than he did h previous day. How many days will it take derrick and jimmy to have earned the same amount of money

Answers

Answer:

me and you have the same questions

find the distance between (-1,-5) and (4,3)

Answers

Answer:

[tex]\sqrt{89}[/tex] = 9.83

Step-by-step explanation:

[tex]\sqrt{89}[/tex]

[tex]\sqrt{25 + 64} \\\sqrt{5^2 + 8^2}[/tex]

Answer: 89

Step-by-step explanation:

hi i just need a simple explanation for this question!

Answers

Answer:

5/3

Step-by-step explanation:

3^5 = 27 ^x

Rewrite 27 and 3^3

3^5 = 3^3^x

We know that a^b^c = a^(b*c)

3^5 = 3^(3x)

The bases are the same so the exponents are the same

5 = 3x

Divide by 3

5/3 =x

Answer:

x = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]3^{5} = 27^{x}[/tex]

These problems are getting you ready to work with exponential functions,

and ultimately with logarithms. The point here is that with variable exponents (notice the exponent is an x (on the right one) and not a number. Variable exponents can not be solved with regular algebra "rules" you need new ones.

The new ones will be Logs....

For now (until you learn logs) , you have to use some "tricks"

the "trick" in this problem is that you have to realize that 27 = [tex]3^{3}[/tex]...

with "common bases" this problem becomes trivial

[tex]3^{5} =(3^{3} ) ^{x}[/tex]

so now the bases are the same and the equals sign suggests that

3x = 5

thus x = [tex]\frac{5}{3}[/tex]

What is the measure of ∠
A. 60°

B. 6°

C. 42°

D. 49°

Answers

If it’s solving for x it’s 6 but the angle is 49

Identify the slope and y-intercept of each linear function's equation.
-X+ 3 = y
slope = -1; y-intercept at 3
y = 3x - 1
slope = -3; y-intercept at 1
y = 1 - 3x
slope = 1: y-intercept at -3
X-3 = y
slope = 3; y-interceptat -1

Answers

Answer: You're correct :)

Step-by-step explanation:

In circle J with m HJK 144 and HJ 13 units, find the length of arc HK. Round to the nearest hundredth.

Answers

Answer:

32.66 units

Step-by-step explanation:

The measure of an arc of a circle is just part of the circumference of the circle. So we just basically use the circumference formula, but with a few tweaks:

Measure of Arch HK = (m∠HJK/360)(2[tex]\pi[/tex]r)

= (144/360)(2[tex]\pi[/tex]13)

= (0.4)(26[tex]\pi[/tex])

= (10.4[tex]\pi[/tex])

≈ 32.66 units

The '144/360' is saying that we're only finding part of the circumference, or just the arch of the circle. The 'r' is the radius, which in our case, is HJ (13).

Then for the last part, I multiplied 10.4 by 3.14 (As I was too lazy to use the exact value of [tex]\pi[/tex]) and we get an approximate answer of 32.656 units. After rounding it, we get about 32.66 units (remember, we round up by 1 when the previous digit is 5-9).

Let me know if anything was confusing and I'll be happy to elaborate :)

Instructions Solve for x ?

Answers

Answer:

[tex]2x = \frac{1}{2} \times 20 = 10 \\ = > x = 5[/tex]

In a survey of adults aged 57 through 85​ years, it was found that 86.6​% of them used at least one prescription medication. Complete parts​ (a) through​ (c) below.

a. How many of the 3149 subjects used at least one prescription​ medication?

​(Round to the nearest integer as​ needed.)

b. Construct a​ 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.


​(Round to one decimal place as​ needed.)

Answers

Answer:

a) 272 used at least one prescription​ medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription​ medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 3149, \pi = 0.866[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876[/tex]

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

The number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is:  [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%

How to construct confidence interval for population proportion based on the sample proportion?

Suppose that we have:

n = sample size[tex]\hat{p}[/tex] = sample proportion[tex]\alpha[/tex] = level of significance = 1 - confidence interval  = 100 - confidence interval in percentage

Then, we get:

[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

where [tex]Z_{\alpha/2}[/tex] is the critical value of Z at specified level of significance and is obtainable from its critical value table(available online or in some books)

For this case, we have:

n = 3149confidence interval is of 90%[tex]\alpha[/tex] = level of significance  = 100 - 90% = 10% = 0..10[tex]\hat{p}[/tex] = sample proportion = ratio of 86.6% of n to n (at the least)

Part (a):

The number of subjects used at least one prescription​ medication is:

[tex]\dfrac{3149}{100} \times 86.6 \approx 2727[/tex]

Thus, the sample proportion we get is:

[tex]\hat{p} = \dfrac{2727}{3149} \approx 0.8659[/tex]

For level of significance 0.10, we get: [tex]Z_{\alpha/2} = 1.645[/tex]

Thus, the confidence interval needed is:

[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\CI \approx 0.8659\pm 1.645 \times \sqrt{\dfrac{0.8659(1-0.8659)}{3149}}\\\\\\CI \approx 0.8659 \pm 0.0099[/tex]

Thus, CI is [0.8659 - 0.0099, 0.8659 + 0.0099] = [0.8560, 0.8758]

Thus, the number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is:  [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%

Learn more about population proportion here:

https://brainly.com/question/7204089

3. What is the length of MA to the nearest tenth?

a) 0.1 cm
b) 3.5 cm
c) 17.0 cm
d) 7.7 cm

Answers

7.7cm

the rest is vastly (a and d) off or just enough off (can't be less then 5.2, because that's already the shortest side), to solve this by looking at it

I will give brainliest pls help

Answers

Answer:

[tex]Slope= -1[/tex]

Step-by-step explanation:

Step 1:  Find the slope

[tex]Slope\ Formula: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the numbers and solve.

[tex]Slope= \frac{-6-(-5)}{6-5}[/tex]

[tex]Slope= \frac{-1}{1}[/tex]

[tex]Slope= -1[/tex]

Answer:  [tex]Slope= -1[/tex]

Aubrey is making dumplings. If she uses \tfrac{4}{5} 5 4 ​ cup of dough for each dumpling, how many cups of dough does Aubrey need to make 12 dumplings? Express your answer in simplest form.

Answers

Answer:

Number of cups of dough needed = 15 cups

Step-by-step explanation:

Cup of dough needed for each dumpling = 4/5 cup of dough

Total dumplings = 12

how many cups of dough does Aubrey need to make 12 dumplings?

Number of cups of dough needed = Total dumplings / Cup of dough needed for each dumpling

= 12 ÷ 4/5

= 12 × 5/4

= 60/4

= 15

Number of cups of dough needed = 15 cups

1) 18,27 – 9,756 =
2) 6 – 2,407 =
3) 18 – 5,432 =
4) 10 – 7,602 =
5) 13,013 – 12,5 =
6) 972,5 – 247,451 =
7) 83,12 – 90,2 + 12,3 =
8) 46,75 – 60,13 + 32,50 =
9) 254,0187 – 29,34682 =
10)1.015,568 – 123,712 =
no entiendo me ayudan

Answers

Answer:

1) -7929

2) -2401

3)-5414

4) -7592

5) 12888

6)-237726

7) 7287

8)-4588

9)-394495

10) 891856

Here’s Question three

Answers

Answer:

BD = 3 units

Step-by-step explanation:

Since, AD is an angle bisector of ∠BAC,

m∠BAD = m∠CAD = 20°

CD = 3 units

In ΔACD and ΔABD,

m∠BAD = m∠CAD = 20° (Given)

AD ≅ AD [Reflexive property]

Therefore, by H-A property of congruence both the triangles will be congruent.

And by CPCTC,

CD ≅ BD = 3 units

a mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
A train is 856m above sea level when it is at A.
calculate the height above sea level of the train when it reaches B​.​

Answers

Answer:

The height above sea level at B is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at A, h₁ = 856 m

The height above sea level of the train when it reaches B, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches B ≈ 1,604.25 m

Please help :)

Given AB intersects DE at point C.

Prove:
What is the missing reason in step 5?

•linear pair postulate
•given
•definition of complementary angles
•congruent complements theorem

Answers

The answer is linear pair postulate hope this helps.❤️

The missing statement is linear pair postulate of intersecting lines

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the lines be represented as l and m

where AB intersects DE at point C

Now , from the figure ,

∠BCA + ∠ECA = 180° ( angles on the straight line = 180° )

Therefore , ∠BCA + ∠ECA = supplementary and the postulate is linear pair

Hence , ∠BCA is supplementary to ∠ECA

To learn more about intersection of 2 lines click :

https://brainly.com/question/16315358

#SPJ5

Log5 =0,699 find log 0,5

Answers

Answer:

-0.301

Step-by-step explanation:

Correct Question :-

If log 2 = 0.301 , find log 0.5

Solution :-

We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .

[tex]\rm\implies log_{10}2= 0.301 [/tex]

And we are supposed to find out the value of log 0.5 . We can write it as ,

[tex]\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)[/tex]

Simplify ,

[tex]\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)[/tex]

This can be written as ,

[tex]\rm\implies log_{10} ( 2^{-1})[/tex]

Use property of log ,

[tex]\rm\implies -1 \times log_{10}2 [/tex]

Put the value of log 2 ,

[tex]\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} [/tex]

Hence the value of log (0.5) is -0.301 .

*Note -

Here here there was no use of log 5 in the calculation .

similar right triangles

Answers

Answer:

c

Step-by-step explanation:

w=3   x=15

solve the following quadratic equation m²+4m=32
please help !!​

Answers

Answer:

all steps are shown and explained

1. To determine the height of a tree, a botanist
makes the following diagram. What is the
height of the tree?
70°
20 ft

Answers

Answer:

54.94954839

Step-by-step explanation:

tan(70) = x/20

tan(70) times 20 = x

The function Y equals -16 X squared plus velocity X models the height of a football in feet X seconds after a player kicks it. In the equation of the function, velocity is the balls initial velocity in feet per second. The ball hits the ground two seconds after the player kicks it. What is the value of velocity?

Answers

Answer:

Step-by-step explanation:

If we are looking for v, the equation is

[tex]y=-16x^2+vt[/tex], assuming that the ball was on the ground before it was kicked.  If it takes 2 seconds to hit the ground after being kicked, we replace y with 0 since the height of something on the ground has no height at all. We also replace x with 2, since it takes 2 seconds for the ball to be at the height of 0:

[tex]0=-16(2)^2+v(2)[/tex] and

0 = -64 + 2v and

-2v = -64 so

v = 32 feet per second

Help quick!! I'll mark your answer as the brainliest if it's correct! Identify the function shown in this graph.
A. y= -1/5x + 3
B. y= 5x - 3
C. y= -5x + 3
D, y= -5x - 3

Answers

Answer:

C

Step-by-step explanation:

We see that the y-intercept is 3. So it is either A of B.

Plug in the point that is on the line (1, -2), we see that the point works for C.

A boardwalk game of chance costs 2 dollars to play. You have a 20% chance of winning 1 dollar, a 25% chance of winning back your entire 2 dollars, and a 35% chance to win 5 dollars. What is the expected value of playing the game if you lose your bet 20% of the time?

Answers

Answer:

For a give event with outcomes:

{x₁, x₂, ..., xₙ}

Each with probabilities:

{p₁, p₂, ..., pₙ}

The expected value is:

Ev = x₁*p₁ + ... + xₙ*pₙ

Here we have the outcomes and probabilities:

win $1, with a probability 20%/100% = 0.2

win $2, with a probability 25%/100% = 0.25

win $5, with a probability of 35%/100% = 0.35

do not win, with a probability of 20%/100% = 0.2

Then the expected value of the game is:

Ev = $1*0.2 + $2*0.25 + $5*0.35 + $0*0.2 = $2.45

And if we know that the game costs $2, then the expected value is:

Ev = $2.45 - $2 = $0.45

The expected value is  $0.45

What addition sentence helps you find 5 – 4?

Answers

Answer:

4 + x =5

Step-by-step explanation:

By adding a variable you can set up an addition sentence

What the additional information fill in the blanks

Answers

Answer:

QXV=WXV

Step-by-step explanation:

What is tanA?
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 17, adjacent A C is 8, opposite B C is 15.
a.
StartFraction 15 Over 17 EndFraction
c.
StartFraction 8 Over 15 EndFraction
b.
StartFraction 8 Over 17 EndFraction
d.
StartFraction 15 Over 8 EndFraction

Answers

Answer:

D. [tex] \frac{15}{8} [/tex]

Step-by-step explanation:

Recall: SOH CAH TOA

Thus,

Tan A = Opposite/Adjacent

Reference angle (θ) = A

Length of side Opposite to <A = 15

Length of Adjacent side = 8

Plug in the known values

[tex] Tan(A) = \frac{15}{8} [/tex]

When Adam got a new locker at the gym, he had to choose a password. For this locker, a password consists of
4 non-repeated letters from A - Z. How many different passwords are there to choose from?

Answers

Given:

Adam's locker has a password that consists of 4 non-repeated letters from A - Z.

To find:

The number of different passwords.

Solution:

Total number of letters from A - Z is 26.

So, the number of selecting a letter for first place is 26.

The passwords consists non-repeated letters. So, the remaining numbers is [tex]26-1=25[/tex].

The number of selecting a letter for second place is 25.

Similarly,

The number of selecting a letter for third place is 24.

The number of selecting a letter for fourth place is 23.

The total number of possible different passwords is:

[tex]26\times 25\times 24\times 23=358800[/tex]

Therefore, the total number of different passwords is 358800.

What’s the answers ?

Answers

hope this helps! feel free to clarify if unsure

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