MATHEMATICS COLLEGE

In isosceles triangle ∆ABC, BM is the median to the base AC . Point D is on BM . Prove the following triangle congruencies:∆ABD ≅ ∆CBD

Answers

Answer 1

Answer:

Answer:

We know that triangle ABD and triangle CBD are congruent because of SAS.

Step-by-step explanation:

AB is congruent to BC because of the definition of an isosceles triangle

BD=BD because of the reflexive property

m<ABD=m<CBD because BM is the median of an isosceles triangle

Thus, triangle ABD is congruent to triangle CBD because of SAS

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The probability of finding a broken cookie in a bag of chocolate chip cookies is P = .03. Find the probability of getting at least 2 broken cookies in a bag containing 36 cookies

Answers

P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)

How to find the probability of getting at least 2 broken cookies in a bag containing 36 cookies

To find the probability of getting at least 2 broken cookies in a bag containing 36 cookies, we need to calculate the probability of getting 2, 3, 4, ..., up to 36 broken cookies and then sum up those probabilities.

The probability of getting exactly 2 broken cookies can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Using the formula, we can calculate P(X = 2):

P(X = 2) = C(36, 2) * (0.03)^2 * (1 - 0.03)^(36 - 2)

Similarly, we can calculate P(X = 3), P(X = 4), and so on, up to P(X = 36).

Once we have calculated all these probabilities, we can sum them up to find the probability of getting at least 2 broken cookies:

P(at least 2 broken cookies) = P(X = 2) + P(X = 3) + P(X = 4) + ... + P(X = 36)

P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)

To calculate P(X = 0), we can use the binomial probability formula with k = 0, and for P(X = 1), we can use the formula with k = 1.

Once we have calculated P(X = 0) and P(X = 1), we can substitute them into the equation:

P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)

This will give us the probability of getting at least 2 broken cookies in a bag containing 36 cookies.

Learn more about probability at brainly.com/question/13604758

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the answer would be .06 bc its 2 broken cookies in a bag therefore it would be double so the answer is .06

If you pick a card at random from a standard 52-card deck, what is the probability that it is either red or a 7?

Answers

The probability that the card you pick from a standard 52-card deck is 7/13.

Let's first solve how many cards out of the 52 are red.
Since half the deck is red and the other half is black, 1/2 of 52 is 26 cards.

Next, let's solve how many cards you can choose with seven on it.
Since there are four of each kind of card in a standard deck of cards, there are four sevens. However, we already counted the two red sevens when we solved how many red cards there are. So 4-2 = 2 cards.

26 + 2 = 28 cards
28/52 = 7/13.

The expression 2x(5x - 1) +(3x2 - 7x - 2) is simplified into the form ax 2+ bx + c.What are the values of the coefficients a,b,c?
a:
b:
C:

Answers

Step-by-step explanation:

2x (5x - 1) + (3x^2 - 7x - 2)

= 10x^2 - 2x + 3x^2 - 7x - 2

= 13x^2 - 9x - 2

a = 13

b = -9

c = 2

Mrs. Smith is giving a homework pass to a student whose expression is equivalent to - i. Which expression will win the homework pass?A. i^36
B. i^37
C. i^38
D. i^39
Help pleaseee