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dmitriy555 [2]
2 years ago
15

Please help fast! Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers

Mathematics
1 answer:
grigory [225]2 years ago
5 0

Jake's guesses are illustrations of probabilities.

The probability that Jake's guesses are correct is 1/720

The sample size is:

\mathbf{n = 10} --- 10 different numbers

The probability that Jake's guesses are correct is as follows:

  • 1st guess = 1/10
  • 2nd guess = 1/9
  • 3rd guess = 1/8

So, the required probability is:

\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}

\mathbf{Pr = \frac{1}{720} }

Hence, the probability that Jake's guesses are correct is 1/720

Read more about probabilities at:

brainly.com/question/11234923

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Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Ludmilka [50]
Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%
3 0
3 years ago
Evaluate. 12+4⋅3−15 Enter your answer in the box.
Nina [5.8K]

Answer:

the answer is 1.3

Step-by-step explanation:

12+4.3 is 16.3

16.3-15 is 1.3

7 0
2 years ago
Read 2 more answers
Pls help if pls do most important 15 number 20 number 26 number 28 number 30 number 17 number 25 number 22 number 24 number if u
Tamiku [17]

Answer:

Step-by-step explanation:

15. \frac{cotx+1}{cotx-1} = \frac{cotx+cotx.tanx}{cotx-cotx.tanx} = \frac{cotx(1+tanx)}{cotx(1-tanx)} = \frac{1+tanx}{1-tanx}   \\

16.  \frac{1+cos\alpha }{sin\alpha } = \frac{sin\alpha }{1-cos\alpha }

=> (1+cos\alpha )(1-cos\alpha ) = sin^{2} \alpha \\=> 1-cos^{2}\alpha =sin^{2}  \alpha \\=> sin^{2}\alpha +cos^{2}\alpha =1\\

=> The clause is correct

17. Do the same (16)

18. \frac{sinx}{1-cosx}+\frac{sinx}{1+cosx} = \frac{sinx(1+cosx) + sinx(1-cosx)}{(1+cosx)(1-cosx)} = \frac{sinx + sinx.cosx + sinx - sinx.cosx}{1-cos^{2}x} = \frac{2sinx}{sin^{2}x }= \frac{2}{sinx} = 2cosecx

19.

\frac{sinA}{1+cosA} + \frac{1+cosA}{sinA}=\frac{2}{sinA} \\=> \frac{sinA}{1+cosA} + \frac{1+cosA}{sinA} - \frac{2}{sinA} \\ = 0\\=> \frac{sinA}{1+cosA} + (\frac{1+cosA}{sinA} - \frac{2}{sinA} \\) = 0\\=> \frac{sinA}{1+cosA} + \frac{1+cosA-2}{sinA} = 0\\=> \frac{sinA}{1+cosA} +\frac{cosA-1}{sinA} = 0\\=> \frac{sin^{2} A+(cosA-1)(1+cosA)}{(1+cosA)sinA}=0\\=> \frac{sin^{2} A+cos^{2} A-1}{(1+cosA)sinA}=0\\=> \frac{0}{(1+cosA)sinA} =0\\

=> The clause is correct

20. Do the same (18)

21. Left = \frac{1}{cosecA+cotA} = \frac{1}{\frac{1}{sinA}+\frac{cosA}{sinA}  } = \frac{1}{\frac{1+cosA}{sinA} }= \frac{sinA}{1+cosA}

Right = cosecA-cotA = \frac{1}{sinA}-\frac{cosA}{sinA}= \frac{1-cosA}{sinA}   \\

Same with (16) => Left = Right => The clause is correct

22. Do the same (21)

Too long, i'm so lazy :))))

5 0
3 years ago
Can someone pls tell me how to do this?
gizmo_the_mogwai [7]
Ok don’t worry this is a very easy topic
It falls under “gradients of a straight line”
I’ll try my best to explain the question but u can find plenty of videos online (Fuse School or Cognito) explaining the topic in detail.

Gradient means slope or how steep a line is.
To find the gradient we use the formula

(Change in y) / (change in x)

*Step 1*
Choose any two coordinates (exact) of the line from the graph

For line 1 let’s take
(2,4) (-3,4)
Now from this
the change in y= (4-4) = 0
the change in x = (-3-2) = -5
So the gradient = 0/-5 = 0

*Now this makes sense because a straight horizontal line has no slope and thus has a gradient of zero. So even without all the calculation we can figure this out easily.

Now for line 2 let’s take the coordinates:
(-3,1) (-3,3)

The change in y= (3-1) = 2
The change in x = (-3- -3) = 0
So gradient = 2/0 = “Undefined”

*The gradient of vertical straight line is always undefined (no gradient)*
*The gradient of horizontal straight lines is always 0*

Hope this helped and best of luck for your exams!
3 0
2 years ago
Two pools are being filled with water. Pool A
yawa3891 [41]

Answer:Pool B is being filled quicker

Step-by-step explanation: It is being filled quicker because 4 is a bigger number than 3 so there is your answer

7 0
3 years ago
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