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Stells [14]
3 years ago
6

ΔEʹFʹGʹ is a dilation of ΔEFG with the origin as the center of dilation.

Mathematics
1 answer:
vekshin13 years ago
7 0
  the answer a is 6 and b is 2

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A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
How to know if the number is a perfect square​
emmasim [6.3K]

Answer:

Step-by-step explanation:

Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square

EG: 36 : Factors of  36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.

EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.

3 0
3 years ago
36 red beads, 49 green and 76 blue beads are to be packed into packets, each containing 3 red, 5 green and 7 blue beads respecti
lakkis [162]
9 packets.

36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8

Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.
6 0
3 years ago
Evaluate rq2 + 3qr + r2 for r = 5 and q = 2
abruzzese [7]
Answer is 60 U need to calculate carefully with brackets involving multiplication
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3 years ago
What is the greatest common factor for 28,42,56
mixer [17]
14 is the largest factor
3 0
3 years ago
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