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liberstina [14]
2 years ago
11

Can someone help me ASAP

Mathematics
1 answer:
il63 [147K]2 years ago
5 0
Answer: Option B

Detailed Explanation:

In the figure in Option B, we are given 2 corresponding angles as equal in both triangles. We are also given one corresponding sides as equal.
Therefore, we can prove the congruency by AAS (Angle-Angle-Side).
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A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the
slavikrds [6]

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

55 = 6 + (3.5 * m)

We can solve this by first subtracting 6 from both sides to get:

49 = 3.5 * m

Dividing both sides by 3.5 we get:

14 = m

That means that the top speed of the monohull in the 2007 tournament was 14 knots

4 0
3 years ago
What is the measure of angle OAC if major arc AB
Luden [163]

Answer: A. 55°

Step-by-step explanation:

8 0
3 years ago
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There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
pychu [463]

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.          Here the card is chosen with replacement.  This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime.  Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5


When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other.  Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen.  This is not binomial.  Here probability for drawing nth time correct 5 is  P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:


6 0
3 years ago
Sharon is preparing for a trip to Kuwait. She calculates that she will need $1,166 to be converted to Kuwaiti dinar. If the
Dafna11 [192]

Answer:

A

Step-by-step explanation:

Just multiply 1166 by 0.2879

6 0
3 years ago
X2 + 17x + 42 = 0<br> solving quadratics by factoring (the solution has brackets around them)
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X +59 Is an answer
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