Can u please help, it’s about finding measure of a triangle
can u please help, it’s about finding measure of a - 1

Answers

Answer 1
Answer:

Answer:

x = 20

<ACD = 113

Step-by-step explanation:

Exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle

There for,

<CAB + <ABC = <ACD

2x-9+4x+2 = 5x+13\n6x-7=5x+13\n6x-5x=7+13\nx=20

Size of the <ACD

5x+13\n5*20+13\n100+13\n= 113


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Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 25% bring a laptop with them, 23% both check work email and use a cell phone to stay connected, and 50% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 84 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop. (a) What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected? (b) What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected? (c) If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected? (Round your answer to four decimal places.)

Answers

The probability that a randomly selected traveller who checks work email also uses a cell phone to stay connected is 57.5%.

The probability that someone who brings a laptop on vacation also uses a cell phone to stay connected is 70%.

If the randomly selected traveller checked their work email and brought a laptop, the probability that he/she uses a cell phone to stay connected is 58.8%.

We have,

Let:

C = Check work email

P = Use a cell phone to stay connected

L = Bring a laptop

Given information:

P(C) = 0.40 (Probability of checking work email)

P(P) = 0.30 (Probability of using a cell phone to stay connected)

P(L) = 0.25 (Probability of bringing a laptop)

P(C ∩ P) = 0.23 (Probability of both checking work email and using a cell phone to stay connected)

P(Neither) = 0.50 (Probability of neither checking work email, using a cell phone to stay connected, nor bringing a laptop)

Additional information:

P(C | L) = 0.84 (Probability of checking work email given that a laptop is brought)

P(P | L) = 0.70 (Probability of using a cell phone to stay connected given that a laptop is brought)

a. For the value of P(P | C), use the conditional probability formula:

P(P | C) = P(C ∩ P) / P(C)

P(P | C) = 0.23 / 0.40

P(P | C) = 0.575

b. For the value of P(P | L), use the conditional probability formula:

P(P | L) = P(P ∩ L) / P(L)

P (P | L) = 0.70

c. For the value of P(P | C ∩ L), use the conditional probability formula:

P(P | C ∩ L) = P(C ∩ P ∩ L) / P(C ∩ L)

Since we don't have the direct probability of P(C ∩ P ∩ L), we can use the information provided:

P(C | L) = 0.84

P(P | C ∩ L) = P(C | L) × P(P | L)

P(P | C ∩ L) = 0.84 × 0.70

P(P | C ∩ L) = 0.588

Thus, The probability that a randomly selected traveller who checks work email also uses a cell phone to stay connected is 57.5%.

The probability that someone who brings a laptop on vacation also uses a cell phone to stay connected is 70%.

If the randomly selected traveller checked their work email and brought a laptop, the probability that he/she uses a cell phone to stay connected is 58.8%.

Learn more about probability here:

brainly.com/question/14099682

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If Point M has a coordinate of -1 and MN = 7, what are the possible coordinates of point N?

Answers

Answer:

-8 and 6

Step-by-step explanation:

Coordinate of point M = -1

Distance between M and a point N = MN = 7

Therefore, the possible coordinates of N can either be:

To the left => -1 - 7 = -8

Or

To the right => -1 + 7 = 6

Check:

If M = -1, and N = -8, MN = |-1 -(-8)| = |-1 + 8| = 7

Or

If M = -1, and N = 6, MN = |-1 - 6| = |-7| = 7

So, our answer is right.

Possible coordinates of point N are -8 and 6

A square has side lengths of 3 meters long.A Square root 6 m
B 3 m
C square root 12 m
D square root 18 m


HELP HELP HELp Due by the end of class

Answers

The answer is C

Hope this helps

Lots of points if answer is serious Point Z on a coordinate grid is at (-1, 3). What are the coordinates of R y=-x (Z)

Answers

Answer: -5, 6

Step-by-step explanation:

N - 4 = 3n + 6 Yikesss

Answers

Answer: n=-5

Step-by-step explanation:

Answer:

N=-5

Step-by-step explanation:

N - 4 = 3n + 6

Add 4 to both sides

n-4+4=3n+6+4

Simplify

n=3n+10

subtract 3n from both sides

n-3n=3n+10-3n

Simplify

-2n=10

Divide -2 from both sides

-2n/-2=10/-2

Simplify

n=-5

Can someone plzzz help me

Answers

It’s f(0)=3 because f(0) just means y intercept which is 3