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antiseptic1488 [7]
3 years ago
5

Quadrilateral ABCD is to be reflected across a horizontal line that is 3 units below point C.

Mathematics
2 answers:
sineoko [7]3 years ago
6 0

I GOT IT WRONG SO THANKS ALOT >:[ its really C.6

your welcome

brilliants [131]3 years ago
4 0
D. because from b to the horizontal line is 5 units, and to reflect it across the horizontal axis, you would add another 5 units, so you would get a total of 10 units. <span />
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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

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

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

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

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
2 years ago
Simplify the expression. 6k – 1 + 6k
den301095 [7]
12k-1 is the simplified answer
5 0
3 years ago
Read 2 more answers
Your bank statement indicates that you are overdrawn on your checking account by $250. How much must you deposit to bring the ch
andrey2020 [161]

Answer:

you would have to deposit $432.

Step-by-step explanation:

it's actually pretty simple. all you have to do is add 182+250 which equals 432. if you want to check your work, add 432 to -250 and you should get 182.

3 0
3 years ago
HELP ME PLEASE WITH THIS QUESTION!!!!!!!!!!!
allochka39001 [22]
I think you have to divide
7 0
3 years ago
if the unit selling price is $2.50 and the unit cost is $1 what is the action needed to maintain the gross margin percentage whe
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The profit is originally 250% to maintain this you need to multiply the new unit cost by 2.5.
New unit cost $1.25. * 2.5 = $3.12.5
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