Mathematics High School

A point is chosen randomly on KN. Identify the probability that the point is on KL or MN.

Answers

Answer 1

Answer:

11/18

Step-by-step explanation:

KL + MN = 11

Total = 18

Probability of KL or MN = 11/18

Related Questions

A national caterer determined that 37% of the people who sampled their food said that it was delicious. If the 144 people at the Valley Ridge Nursing Home are given the same food, and asked by tables what the deliciousness of the food, what is the mean of the sampling distribution of p-hat (the population proportion)

Answers

Answer:

Hence the mean of the sampling distribution of proportion is,

[tex]\mu\hat p = p = 0.37[/tex].

Step-by-step explanation:

Here the given details are,

p = 0.37

1 - p = 1 - 0.37 = 0.63

n = 144

The mean of the sampling distribution of proportion is,

[tex]\mu\hat p = p = 0.37[/tex]

Can someone please help marking brainliest

Answers

Answer:

down below!

Step-by-step explanation:

a) width: 2,3,4,5 length:9,8,7,6

all you need if for those numbers to add up to 11 together because the perimeter itself is 22 so you always want to be able to add those two numbers and be able to double it to the perimeter if that makes sense.

b) the greatest area there will be would be width: 5 and length: 6 because 5x6 equals 30 and multiplying the others would be less than that. hence 2x9=18, 3x8=24, and 4x7=28

please let me know if this helps if not I can try to explain another way!

Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the top of the opposing wall is 20° and the angle of depression to the bottom of the opposing wall is 320 feet. Using the appropriate right triangle solving strategies, solve for the following: (Do not round intermediate calculated values. Only the final answer should be rounded to one decimal place.)

Answers

Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z = l × cos(θ₂)

∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

SOMEONE PLEASE HELP ME
Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used

Answers

Smart Dot, multiply the cost per hour by number of hours (t) and add to the monthly fee:

C = 0.50t + 12

Communication plus: Multiply the cost per hour by number of hours (t)

C = 2.50t

a two digit number divided by another two digit number,we get 3.675 what are the numbers?

Answers

Answer:

Step-by-step explanation:

I can't get the exact answer you've given, but I can tell you some things about it. The largest number in the denominator is 30 or 31. That's because 31 * 3 is 93 exactly. However the fraction is a problem and will likely push you over 100.

3.675 * 31 = 113 something. So 31 is too big.

The closes I came was 98 / 26 which is 3.769

HELP! I'LL GIVE BRAINLIEST ! ! ! ! ! ! ! !

Select all of the quadrants that the parabola whose equation is y = √x - 4 (principal square root) occupies.
a. IV b. III c. II d. I

Answers

Quadrants I and IV

When we graph y^2 = x - 4, we see that it is on the x axis, and goes up into Quadrant I, and down into Quadrant IV

HELP ME pleaseeee help help

Answers

Step-by-step explanation:

a. x+10.

b. (5)(x)(x+10)=V

c. 5×8×18=720

d. 5,8,18

e. Yes, the dimensions all stay the same so the volume should be the same.

Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *

Answers

Answer:

Arc KN = 201°

Step-by-step explanation:

Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.

Applying this to the problem given, we have:

m<L = ½(Arc KN - Arc KM)

m<L = 70° (given)

Arc KN = ?

Arc KM = 61°

Substitute

70° = ½(Arc KN - 61°)

2*70° = Arc KN - 61°

140° = Arc KN - 61°

140° + 61° = Arc KN

201° = Arc KN

Arc KN = 201°

Show working please

Answers

Answer:

Step-by-step explanation:

1.159 R (remainder) 42

| ------------------------

73 | 84.649

-73

116 (brought 6 down)

-73

434 (brought 4 down)

-365

699 (brought 9 down)

-657

42 is the remainder

↪[tex] \: \: \: \: \: \: \: \: \: \: \huge \rm{answer:} \boxed{ \purple{42}}[/tex]

[tex] \huge \red {\boxed{\sf{armed \: account}}}[/tex]

[tex] \huge\frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm1159r42}{ \: 73) \: \:84649} \\ \huge \frac{ - 73}{ \: \: \: \: \: \: 116} \\ \huge \frac{ \: \: \: \: - 73}{ \: \: \: \: \: \: \: \: \: 434} \\ \huge \frac{ \: \: \: \: \: \: - 365}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 699} \\ \huge\frac{ \: \: \: \: \: \: \: \: \: \: - 657}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{42} }[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

And that's it! Hope it wasn't too hard to understand✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Step-by-step explanation:

[tex] \huge \rm{Hope \: this \: helps}[/tex]

Two cars leave the park at the same time opposite directions one goes 3 times faster after 6 hours they travel 140miles how fast did theyg go

Answers

Answer:

Their speeds are;

5.83 mph and 17.49 mph

Step-by-step explanation:

We are told that they leave the park the same time.

Let the speed one car traveled be v

Since the other car is 3 times faster, then it means that, it's speed is 3v.

Now, after 6 hours they travel 140 miles.

We know that;

Speed = distance/time.

Thus;

(v + 3v) = 140/6

4v = 140/6

v = 140/24

v = 5.83 mph

Thus, second car's speed = 3v = 3 × 5.83 = 17.49 mph

Diseases I and II are prevalent among people in a certain population. It is assumed that 11% of the population will contract disease I sometime during their lifetime, 16% will contract disease II eventually, and 2% will contract both diseases. (a) Find the probability that a randomly chosen person from this population will contract at least one disease. .25 Correct: Your answer is correct. (b) Find the conditional probability that a randomly chosen person from this population will contract both diseases, given that he or she has contracted at least one disease. (Round your answer to four decimal places.)

Answers

Answer:

a) [tex]P(A \cup B)=0.23[/tex]

b) [tex]P(X)=0.87[/tex]

Step-by-step explanation:

From the question we are told that:

Probability of contacting disease 1 [tex]P(1)=0.11[/tex]

Probability of contacting disease 2 [tex]P(2)=0.16[/tex]

Probability of contacting both disease [tex]P(1\& 2)=0.2[/tex]

Generally the equation for a Random contact is mathematically given by

[tex]P(A \cup B)=P(1)+P(2)-P(A \cap B)[/tex]

[tex]P(A \cup B)=\frac{11}{100}+\frac{16}{100}-\frac{4}{100}[/tex]

[tex]P(A \cup B)=\frac{11+16-4}{100}[/tex]

[tex]P(A \cup B)=0.23[/tex]

Generally the equation for Probability of contacting both after having contacted one is mathematically given by

[tex]P(X)=\frac{P(1\& 2)}{P(A \cup B)}[/tex]

Therefore

[tex]P(X)=\frac{0.2}{0.23}[/tex]

[tex]P(X)=0.87[/tex]

If the children were to share the juice equally, how much would each child get? Line plot below plz show your work

Answers

Answer:

thanks for your question it is a good question but I need other part of your paper to see 3-7 questions

Step-by-step explanation:

i think there are 8 children in totally

Answer:

2 1/3 quarts

Step-by-step explanation:

According to the plot we have

Number of children:

(1 + 3 + 1 + 2 + 1) = 8

Total amount of juice:

1*(1 4/6) + 3*(2) + 1*(2 2/6) + 2*(2 5/6) + 1*(3) = 10/6 + 6 + 14/6 + 34/6 + 3 = 58/6 + 9 = 9 4/6 + 9 = 18 2/3 quarts

If shared equally each of the children would get:

18 2/3 : 8 = 56/3 * 1/8 = 7/3 = 2 1/3 quarts

Answer:

Step-by-step explanation:

6:5

We need to get the first number to 43

6*7 = 42

Multiply each term by 7

6*7 : 5*7

42 : 35

9) Assume that the random variable X is normally distributed, with mean = 90 and standard deviation o = 12. Compute the probability P(57 < X < 105).
A) 0.7888 B) 0.8944 C) 0.8914 D) 0.8819

Answers

Answer:

Step-by-step explanation:

The mean, [tex]\bar{x}[/tex], is 90 and the standard deviation, [tex]\sigma[/tex], is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:

[tex]P(\frac{57-\bar{x}}{\sigma}\leq z\leq \frac{105-\bar{x}}{\sigma})[/tex] and we fill in accordingly:

[tex]P(\frac{57-90}{12}\leq z\leq \frac{105-90}{12})[/tex] which simplifies to

[tex]P(-2.75\leq z\leq 1.25)[/tex] and we will break them up into 2 different sets as follows:

P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)

and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:

P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.

Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:

.4970 + .3944 = 0.8914

By using determinant method solve following questions 3x+4y+5z=18. 2x-y-8z=13. 5x-2y+7z=20

Answers

Answer:

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3x+4y+5z=18,2x−y+8z=13,5x−2y+7z=20 D= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−7+16)−4(14−40)+5(−4+5) =3(9)−4(−26)+5(1)=27+104+5=136 D 1 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 18 13 20 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =18(−7+16)−4(91−160)+5(−26+20) =18(9)−4(−69)+5(−6)=162+276−30=408 D 2 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 18 13 20 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(91−160)−18(14−40)+5(40−65) =3(−69)−18(−26)+5(−25)=−207+468−125=136 D 3 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 18 13 20 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−20+26)−4(40−65)+18(−4+5) =3(6)−4(−25)+18(1)=18+100+18=136 Now, x= D D 1 = 136 408 =3 y= D D 2 = 136 136 =1 z= D D 3 = 136 136 =1 Hence, the solution for the system is (3,1,1).

Find the interior angle sum for the following polygon

Answers

140 is ur answer…
Im not really sure but I think this is it
Really hope this helps

amy bill and cara each played a game . amy’s scored was ten times bill’s scored . cara’s down the ratio of amy’s scored to bill’s scored to cara’s score. give your answer in its simplest form

Answers

Answer:

10:1:5

Step-by-step explanation:

Given that,

A game was played by Amy, Bill, and Cara.

Let Amy's score be x. Then,

Bill's score would be x/10

Cara's score = x/2

Now,

The ratio of their scores;

x: x/10: x/2

= 1 : 1/10 : 1/2

To equalize the scores, multiply all of them by 10

= (1 * 10): (1/10 * 10) : (1/2 * 10)

Answer:

Step-by-step explanation:

What is the solution, if any, to the inequality |3x|20?
all real numbers
solution
no
x>0
x

Answers

Answer:

20×2=40bnmcsshjvghjpiutewqadgjlmbcz

Answer: all real numbers

Step-by-step explanation:

Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x

Answers

Answer:

Equation #1:

[tex]y = 3x + 8[/tex]

Equation #2:

[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]

Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.

1 point
Andrea and Barry are sharing a bag of popcorn at the movies. By himself,
Barry can eat the whole bag of popcorn in 30 minutes. Andrea takes 20
minutes to eat the whole bag. If they both eat popcorn at their usual rates,
approximately how long will it take them to finish the bag of popcorn?

Answers

Answer:

12 minutes

Step-by-step explanation:

We can use the formula

1/a+ 1/b = 1/c where a and b are the times alone and c is the time together

1/20 + 1/30 = 1/c

Multiply by the common denominator to clear the fractions

60c(1/20 + 1/30 = 1/c)

3c +2c = 60)

5c = 60

Divide by 5

5c/5 = 60/5

c = 12

12 minutes

Answer: 12 minutes

Step-by-step explanation: To solve this kind of a problem, which is called a work problem, it's important to understand the following idea:

Since Barry can eat a bag of popcorn in 30 minutes, we know that in 1 minute, Barry can eat 1/30 of the bag of popcorn and in 2 minutes, Barry can eat 2/30 of the bag of popcorn. Therefore, in t minutes, Barry can eat t/30 of the bag of popcorn. The same thing applies for Andrea. In t minutes, Andrea can eat t/20 of the bag of popcorn.

Now to solve the problem, we use the following formula:

Part of Job done by Barry + Part of Job done by Andrea = 1 job done

The part of job done by Barry is t/30 and the part

of the job done by Andrea is t/20.

So we have t/30 + t/20 = 1.

To solve for t, multiply both sides by the common denominator of 60.

So we get 2t + 3t = 60 or 5t = 60 so t = 12.

So Barry and Andrea can eat 1 bag together in 12 minutes.

Mar-Vell Studios' blockbuster movie Gray Widow: It's About Time She Got a Movie premiered last weekend simultaneously in theaters and on streaming video. On opening weekend, the total revenue from the movie was $127,265,468, with the movie making 75% more revenue in theaters than it did via streaming video. How much money did Gray Widow make in theaters on opening weekend

Answers

Answer:

Gray Widow made $111,357,284.5 in theaters on opening weekend.

Step-by-step explanation:

75% more revenue in theaters than it did via streaming video.

The sum of the revenues is 100%.

So the theaters were responsible for the following percentage:

[tex]P = 50 + \frac{75}{2} = 50 + 37.5 = 87.5[/tex]

How much money did Gray Widow make in theaters on opening weekend?

87.5% of the total revenue, that is, 0.875 out of $127,265,468.

0.875*127,265,468 = $111,357,284.5

Gray Widow made $111,357,284.5 in theaters on opening weekend.

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