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Anna71 [15]
3 years ago
15

Your teacher is selecting class partners by drawing names out of a bag. There are 12 girl's names and 10 boy's names. What is th

e probability that she selects a boy's name followed by a girl's name (without replacement)?
A) 20/77

B) 30/121
Mathematics
2 answers:
sasho [114]3 years ago
8 0
The answer would be A)20/77.
The reason is that without replacement it would go (10/22)*(12/21)=0.2597
You can do the easy route I did then do (20/77) which would also give you 0.2597.
pshichka [43]3 years ago
6 0
The answer is exactly A there is not other choises make sense
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Which of the following expression expressions is equivalent to cos3x/sinxcosx?
77julia77 [94]
Correct Option:
Option B

Solution:
The given expression is:

\frac{cos(3x)}{sin(x)cos(x)}

cos(3x) can be written as cos(2x +x). Expanding it, we get:

cos(3x) = cos(2x+x) \\  \\ 
cos(3x) =cos(2x)sin(x)-sin(2x)cos(x)

Using this value of cos(3x) in given equation, we get:

\frac{cos(3x)}{sin(x)cos(x)} \\  \\ 
= \frac{cos(2x)sin(x)-sin(2x)cos(x)}{sin(x)cos(x)} \\  \\ 
= \frac{cos(2x)sin(x)}{sin(x)cos(x)}- \frac{sin(2x)cos(x)}{sin(x)cos(x)}  \\  \\ 
= \frac{cos(2x)}{cos(x)} - \frac{sin(2x)}{sin(x)} \\  \\ 
=sec(x)cos(2x)-csc(x)sin(2x)
8 0
4 years ago
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Which graph displays a rate of change of 2.5?
kvv77 [185]
the middle one is a rate of 2.5
7 0
3 years ago
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According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not
Ilia_Sergeevich [38]

Answer:

a) P(X = 4) = 0.1655

b) P(X < 3) = 0.4752

c) P(Y < 5) = 0.0273

Step-by-step explanation:

Hello!

The study variable is

X: Number of people that do not cover their mouths when they sneeze, in a sample of 10.

This is a discrete variable with two possible outcomes "people do not cover their mouth when they sneeze" (success) "people cover their mouth when they sneeze" (failure). First, let's check if it follows the Binomial criteria:

The number of observation of the trial is fixed (n=10)

Each observation in the trial is independent, this means that none of the trials will have an effect on the probability of the next trial (Whether one person covers or not its mouth when he sneezes doesn't modify the probability of the next one not covering its mouth when sneezing)

The probability of success in the same from one trial to another (ρ= 0.267)

So X≈ Bi (n;ρ)

since the study variable has binomial distribution, I'll use the tables of the binomial distribution to calculate the asked probabilities. (Remember, these tables give values of cumulative probabilities; P(X≤r))

a) What is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

P(X = 4) = P(X ≤ 4) - P(X ≤ 3) = 0.9004 - 0.7349 = 0.1655

b) What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

P(X < 3) = P(X ≤ 2) = 0.4752

c) Would you be surprised if, after observing 10 individuals, fewer than half covered their mouths when sneezing?

If fewer than half covered their mouths, then more than half didn't cover their mouths. (I'll call Y: the number of people that covered their mouths while sneezing) Symbolically:

P(Y < 5) ⇒ P(X > 5)

P(X > 5) = 1 - P(X ≤ 5) = 1 - 0.9727 = 0.0273

I hope you have a SUPER day!

3 0
4 years ago
What is the total cost, in dollars, to have the logo painted on the office building?
Murljashka [212]

15 squares + 15 squares =30  then you times 2.25 times 30 to get 67.5 the you do the other side 11 squares + 11 squares=22 squares then you times 22 squares by 2.25 and you get 49.5 then you add the 67.5+49.5=117

it would cost $117 to paint that.

6 0
3 years ago
81 PTS !!!!!!!!!!!!!!!!!!!!!!!!!!! Great Mathematicians come on out here and help on problems 7 and 8!!! Warning Please actually
devlian [24]

here you just need to use scalling.

7)

in this case the we have to draw the area in bigger map with the scale of 3. This means, 1 unit in smaller map is now will be represented by 3 units in bigger map.

so 1 × 1 size box in smaller map = 3×3 size box in bigger map

as length and breadth both will be scaled to 3 times.

so original figure in smaller map it takes 6 square box of size 1×1

its going to take 54 square box of size 1×1.

please see image attached.

area in smaller map = 6 ×(1×1) = 6 square units

atea in bigger map for same = 6× ( 3×3) = 54 square units

8)

here we have to scale down the image.

that means 3 unit in bigger map will be now represented as 1 uNit in smaller map.

so length and breadth will be reduced to 1/3 in smaller map.

see image attached.

area in bigger map = 9×5 × (1×1) = 45 square units

area in smaller map = 9×5×(1/3 × 1/3) = 5 square units

excuse me for bad images and drawings

8 0
4 years ago
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