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melomori [17]
3 years ago
14

Somebody help me please

Mathematics
1 answer:
posledela3 years ago
8 0
130 degrees.

ADB = 90 degrees
BDT=40 Degrees

Therefore, TDS = ADB(90)+BDT(40)=130 degrees 
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A math instructor assigns a group project in each of the scenarios below, the instructor selects 5 consecutive students from thi
SVETLANKA909090 [29]

Complete question:

Consider a class of 20 students consisting of 5 sophomores, 8 juniors, and 7 seniors. A math instructor assigns a group project in each of the scenarios below, the instructor selects 5 consecutive students from this class, keeping track (in order) of the level of the student that he gets.

1a. How many possible outcomes are in the sample space S? (An outcome is a 5- tuple of students.)

Let A2 denote the event that exactly 2 of the selected students are sophomore, A5 denote the event that exactly 5 of the selected students are the juniors, and A4 denote the event that exactly 4 of the selected students are seniors.

1b. Find the probabilities of each of these three events. A2, A5, A4

1c. Do the events A2, A5, A4 constitute a partition of the sample space?

Answer:

Given:

n = 20

a) The possible outcome in the sample space,S, =

ⁿCₓ = ²⁰C₅

= \frac{20!}{(20-5)! 5!)}

= \frac{20*19*18*17*16}{5*4*3*2*1}

= 15504

b) probabilities of A2, A5, A4

P(A2) = ⁵C₂ / ²⁰C₂

= \frac{20}{320} = \frac{1}{19}

P(A5) = ⁸C₅ / ²⁰C₅

= \frac{56}{15540} = \frac{7}{1938}

P(A4) = ⁷C₄ / ²⁰C₄

= \frac{35}{4845} = \frac{7}{969}

c) No,the events A2, A5, A4, do not comstitute a partition of the sample space. i.e P(A2)+P(A5)+P(A4) ≠ 1

5 0
3 years ago
Subtract (3x+2) from the sum of (6x+2) and (5x+4)
icang [17]
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27x+6x ??
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3 years ago
Simplify the radical /1829.
Airida [17]

Answer:

Step-by-step explanation:

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3 years ago
HELP ME PLEASE I WILL MARK YOU BRAINY THANK U SO MUCH
Mumz [18]

Answer:3

Step-by-step explanation:

8 times 3 times 1/2 =12

2 times 1/2 times 4=4

12/4=3

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3 years ago
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A set of 4 consecutive integers adds up to 202. What is the greatest of these integers?
lbvjy [14]

Answer:

52

Step-by-step explanation:

When asked such a question, try to use trial and error.

For example, the total is 202 and is made of of 4 integers which are <u>consecutive</u>(follow each other)

If you were to divide 202 by 4, you would get approximately 50

So, it would be best to try and add certain consecutive numbers(making sure 50 is one of them) till you get a total of 202

In this case, the integers would be, <em>49, 50, 51</em> and <em>52</em>

The question then further asks you ti find out which is the greatest of these integers. That would be <em>52</em>

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