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Kryger [21]
2 years ago
5

Suppose that 20° of boys opted for mathematics and 40% of girls opted for mathematics. What is the probability that a student op

ted for mathematics if half of the class is girls?​
Mathematics
1 answer:
ankoles [38]2 years ago
5 0

Answer: 30%

Step-by-step explanation:

Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.

P(A) = P(B)* P(M|G) + P(G)*P(M|G)

P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}

P(A) = 3/10 = 0.3

=> 30%

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Two angels in a triangle add up two 115 degrees what is the size of the third angle
Bogdan [553]
The internal angles in a triangle add up to 180
I think the question should say
'2 angles in a triangle add up to 115 degrees'
so therefor
x+y+z=180
2 angles are x+y
115+z=180
z=3rd angle

solve
115+z=180
subtract 115 from boths ides
z=65

answer is third angle=65 degrees
5 0
3 years ago
PLEASE HELP!!
Stolb23 [73]

Answer:

27 quarters and 37 nickels

Step-by-step explanation:

Nickels are 5¢

Quarters are 25¢

$8.60 is 172 nickels (860/5)

$8.60 is 34.4 quarters (860/25)

So then let's split it half-and-half.

425 and 435

425 would become 17 quarters.

435 would become 87 nickels.

This is still too much.

Now let's try 700 and 160.

700 would become 28 quarters

160 would become 32 nickels.

28+32=60.

This is a lot closer.

So now 27 quarters and 37 nickels. This works.

7 0
2 years ago
The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi
Andru [333]

we can use formula

\theta=tan^{-1}(\frac{a_y}{a_x})

(a)

we are given

a_x=12,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{12})

\theta=tan^{-1}(1)

\theta=\frac{\pi}{4}rad

(b)

we are given

a_x=20,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{20})

\theta=tan^{-1}(\frac{3}{5})

\theta=30.96^{\circ \:}

(c)

we are given

a_x=12,a_y=20

now, we can plug values

\theta=tan^{-1}(\frac{20}{12})

\theta=tan^{-1}(\frac{5}{3})

\theta=59.03^{\circ \:}


6 0
2 years ago
Please help me. I'm very confused with this question. Thanks
PSYCHO15rus [73]
I think its A but im not absolutely sure

4 0
3 years ago
Read 2 more answers
If abc avw find the values of x and y
zavuch27 [327]

Answer:

x=7.2 y=7.5 this is the answer

8 0
2 years ago
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