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gayaneshka [121]
3 years ago
14

Tm=gl and md=ls What additional information is necessary to show that by SSS

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0
Since the problem is to prove that the two triangles are congruent by applying SSS (side -side -side) congruence theorem, the missing or the additional information that can be shown in the solution is the third side of both triangles must be also equal and congruent. Since in SSS theorem, all sides of a given triangle must be congruent to the opposite three sides of the second triangle.
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How to flip a desk 5 feet long and then flip another desk and it was 10 feet long what would be the answer
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I think this may be multiplication so 5 times 10 equls50
6 0
3 years ago
20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
3 years ago
Evaluate |-a^2|, given a = 5, b = -3, and c = -2.
geniusboy [140]
The sunset is 25. how this helps!
7 0
3 years ago
Read 2 more answers
Show how to solve the problem 378 x 6 using place value with regrouping. Explain how you knew when to regroup.
KIM [24]

<u>Answer</u>

2,268


<u>Explanation</u>

<u> </u>

<u>By grouping 378 ca</u>n be written as,

378 = 300 + 70 + 8

6× 378 = 6 × (300 + 70 + 8)

             = (6×300) + (6×70) + (6×8)

             = 1800 +  420 + 48

              = 2,268

8 0
3 years ago
BRAINLIEST TO CORRECT
liq [111]

Answer:

3/5<6/8

Step-by-step explanation:

6/8=3/4

4 0
3 years ago
Read 2 more answers
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