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AlexFokin [52]
3 years ago
10

If 12 less than 4 times a number is 8, the number is 5. Write a different sentance where the unknown number is also 5.

Mathematics
2 answers:
ryzh [129]3 years ago
8 0
If 17 more than -2 times a number is 7 then the number is 5.
anastassius [24]3 years ago
7 0
Two times a number minus 4 is six. (2*5-4=6)
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Consider an experiment where two 6-sided dice are rolled. We can describe the ordered sample space as below where the first coor
agasfer [191]

Answer:

  • E = { (4,1) , (3,2) , (2,3) , (1,4) }
  • P(E)=\frac{1}{9}
  • P(F|E)=\frac{1}{4}

Step-by-step explanation:

Let's start writing the sample space for this experiment :

S= { (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }

Let's also define the event E ⇒

E : '' The sum of the two dice is 5 ''

We can describe the event by listing all the favorables cases from S ⇒

E = { (4,1) , (3,2) , (2,3) , (1,4) }

In order to calculate P(E) we are going to divide all the cases favorables to E over the total cases from S. We can do this because all 36 of these possible outcomes from S are equally likely. ⇒

P(E)=\frac{4}{36}=\frac{1}{9} ⇒

P(E)=\frac{1}{9}

Finally we are going to define the event F ⇒

F : '' The number of the first die is exactly 1 more than the number on the second die ''

⇒

F = { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }

Now given two events A and B ⇒

P ( A ∩ B ) = P(A,B)

We define the conditional probability as

P(A|B)=\frac{P(A,B)}{P(B)} with P(B)>0

We need to find P(F|E) therefore we can apply the conditional probability equation :

P(F|E)=\frac{P(F,E)}{P(E)}   (I)

We calculate P(E)=\frac{1}{9} at the beginning of the question. We only need P(F,E).

Looking at the sets E and F we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒

P(F,E)=\frac{1}{36}

Replacing both probabilities calculated in (I) :

P(F|E)=\frac{P(F,E)}{P(E)}=\frac{\frac{1}{36}}{\frac{1}{9}}=\frac{1}{4}=0.25

We find out that P(F|E)=\frac{1}{4}=0.25

6 0
3 years ago
Write the slope intercept 4x-y=1
Sergio [31]

Answer:

y = 4x - 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Fran reads 54 pages per hour Darnell reads 60 pages per hour if they both read for 2.5 hours how many more pages will Darnell Re
spin [16.1K]
Hey You! Here's How To Solve This Question:


STEP 1:

60 × 2.5 = 150


STEP 2:

54 × 2.5 = 135


STEP 3:

150 - 135 = 15


So, Darnell read 15 more pages than Fran.

I Really Hope My Answer Helped You!
7 0
3 years ago
Last week, a coral reef grew 19.8mm taller. How much did it grow in meters?
Oliga [24]

Answer:

Last week the coral reef grew .0196m

Step-by-step explanation:

So it's hard to explain but simply Milli witch is the symbol "m" is a unit prefix in the metric system denoting a factor of one thousandth (10 −3).  So 19.6mm is 19.6*10^-3m.  in other words 19.6 times 10^-3m

hope this helps sorry it's so complicated :/

5 0
2 years ago
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2t - 5 = -10 what is t
jenyasd209 [6]
The answer is -.2.5 hope that help
6 0
3 years ago
Read 2 more answers
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