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n200080 [17]
3 years ago
15

1/y - 1/x = 1/60 3y - 2x = 6 (Simultaneous question)

Mathematics
1 answer:
Daniel [21]3 years ago
6 0

1y - 1/x = 1/60 = x*y =60 = x=60/y

3y - 2(60/y) = 6

3y^2-120=6y

3(y^2-40-2y) =0

y^2-40-2y=0

y = 7.4


3(7.4)-2x=6

22.2-2x = 6

2x = -16.2

x = -8.1



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denpristay [2]

Experimental probability: 10/50

Percentage: 20%

I dont know for sure sorry if it is wrong

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3 years ago
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bazaltina [42]

Answer:

B) 3/4

Step-by-step explanation:

The conditional probability of B given A (B|A) is P(A ∩ B) / P(A), when P(A) > 0 (Probability of the intersection of A and B over the Probability of A).

in our case, P(A ∩ B is the amount of people who can snowboard and surf, which according to the picture is 36

P(A) is the amount of people who can snowboard, which from the picture is 48

This means our conditional probability is 36/48, which when simplified is 3/4.

6 0
3 years ago
In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circl
german

Answer:

52°

Step-by-step explanation:

In the figure attached, Circle A is shown. There we can see that:

∠BC + ∠CD =  ∠BAD

We know that Arc BC measures 96° and arc BAD measures 148°. Replacing this data into the equation and solving for Arc CD, we get:

96° + ∠CD =  148°

∠CD = 148° - 96°

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5 0
2 years ago
Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.
Sedbober [7]

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\

4 0
2 years ago
How many different 5-person subcommittees can be formed from a club having 12 members
Wittaler [7]
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
3 0
2 years ago
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