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Reptile [31]
4 years ago
5

A month of the year is chosen at random. What is the probability that the month starts with the letter Jor the letter M?

Mathematics
2 answers:
tamaranim1 [39]4 years ago
4 0

Answer:

5 out of 12

5/12

January, March, May, June, July

There are three months whose name starts with the letter 'j': January, June, July

There are two months whose name starts with the letter 'm': March, May

So altogether, there are 5 months whose name starts with the letter 'j' or 'm'. So the possible outcome is 5 and total number of sample space is 12.

Therefore the required probability is: 5/12

PLEASE GIVE BRAINLYEST :)

andrew-mc [135]4 years ago
4 0

Answer:

Step-by-step explanation:

Total outcomes = 12

Letter starting with M = 2 (march & May)

Letter starting with J = 3 ( January, June, July)

P(letter starting with M and J)=2/12+3/12=5/12

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hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

\Rightarrow \sin(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

\Rightarrow \dfrac{\sqrt{3}}{2}

Therefore, sin(480°) = 0.866

7 0
4 years ago
trisha started out with 40,000 miles on her car and drove exactly 800 miles a week. After how many weeks did she have 44,800 mil
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4 0
3 years ago
The Reyes want grilled chicken and tilapia for dinner. Mrs.
seropon [69]

Answer:

Kilogram of chicken = 1

Kilogram of tilapia = 3

Step-by-step explanation:

Cost of chicken = 150 per kilo

Cost of tilapia = 100 per kilo

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Let :

Number of kilo of chicken = x

Number of tilapia kilo = y

The constraint :

150x + 100y ≤ 450

We could choose some reasonable values of x and y then, test the constraint ;

If x = 1 and y = 3

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Hence,

1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.

6 0
3 years ago
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7 0
3 years ago
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hope this helps

3 0
3 years ago
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