Answer:
2.5
Step-by-step explanation:
The value of (4-1/4) divided by (2-1/2) is 2.5
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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:
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Answer:
The distance is 5
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
(0,4)
(-3,0)
(-3,0) point is a solution to the inequality shown in this graph.
Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
There are two solutions os inequality are;
(0,4)
(-3,0)
But only one solution is given in the graph as;
(-3,0)
Hence, the (-3,0) is the point that is a solution to the inequality shown in this graph. Option B is correct.
To learn more about inequility, refer to;
brainly.com/question/20383699.
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Answer:
B.(-3,0)
Step-by-step explanation:
i just finished the test
2) SAS
3) ASA
4) AAS
5) NOT CONGRUENT
Pic is up right answer = brainliest
The two triangles ΔABC and ΔCDA are congruent. Then the correct option is B.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The rectangle is ABCD is given below.
In triangles ΔABC and ΔCDA,
AB = CD (opposite sides)
BC = AD (opposite sides)
∠ABC = ∠ADC = 90°
The two triangles ΔABC and ΔCDA are congruent. Then the correct option is B.
More about the rectangle link is given below.
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Answer: Your answer is 2) SAS
Step-by-step explanation: Yes, there are congruent.
Answer:
Step-by-step explanation:
A square enclosure would have all sides of equal length. Thus, a perimeter of 16 feet would have 4 sides (16/4) or 4 feet in length. The diagonal would form a right triangle with two sides of 4 feet each.
The diagonal, the hypotenuse, is determined by:
4^2 + 4^2 = x^2
32 = x^2
x = 5.6569 feet
The length of the diagonal of the square enclosure is approximately 5.7 feet.
The perimeter of a square is the sum of all its sides. In this case, the square enclosure has a perimeter of 16 feet. Since all the sides of a square are equal in length, we can divide the perimeter by 4 to find the length of one side.
The length of one side of the square is 16/4 = 4 feet.
To find the length of the diagonal of a square, we can use the Pythagorean theorem. The diagonal, the side, and the side form a right triangle, where the diagonal is the hypotenuse. The formula for the length of the diagonal is d = sqrt(2)s, where s is the length of one side of the square.
Substituting the value for s, we have d = sqrt(2) * 4.
Calculating this using a calculator, we get d ≈ 5.7 feet.
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