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harina [27]
3 years ago
6

Can somebody please solve question 11 for me?

Mathematics
1 answer:
love history [14]3 years ago
6 0
1+tan^2(A) = sec^2(A) [Pythagorean Identities]

tan^2(A)cot(A) = tan(A)[tan(A)cot(A)] = tan(A)[1] = tan(A)


*see photo for complete solution*

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Q and r are independent events. if p(q) = 1/4 and p(r)=1/5, find p(q and r)
klasskru [66]

Answer:

(b) \frac{7}{30}

Step-by-step explanation:

When two p and q events are independent then, by definition:

P (p and q) = P (p) * P (q)

Then, if q and r are independent events then:

P(q and r) = P(q)*P(r) = 1/4*1/5

P(q and r) = 1/20

P(q and r) = 0.05


In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.


In the first ballot box there are 9 balls, 3 white and 6 yellow.

Then the probability of obtaining a white ball from the first ballot box is:

P (W_{u_1}) = \frac{3}{9} = \frac{1}{3}

In the second ballot box there are 10 balls, 7 white and 3 yellow.

Then the probability of obtaining a white ball from the second ballot box is:

P (W_{u_2}) = \frac{7}{10}

We want to know the probability of obtaining a white ball in both urns. This is: P(W_{u_1} and W_{u_2})  

As the events are independent:

P(W_{u_1} and W_{u_2})  = P (W_{u_1}) * P (W_{u_2})

P(W_{u_1} and W_{u_2})  = \frac{1}{3}* \frac{7}{10}

P(W_{u_1} and W_{u_2})  = \frac{7}{30}

Finally the correct option is (b) \frac{7}{30}

3 0
3 years ago
Is the opposite of 32, is 32?
ELEN [110]

Answer:

Step-by-step explanation:

NO i think

4 0
3 years ago
What point is on the graph of every direct variation equation
Alexeev081 [22]
Answer: The point (0,0)
This point is also known as the origin

The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number

If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
4 0
3 years ago
Is Figure B a scale copy of Figure A?
Lana71 [14]
Yes
Reason - figure b has been increased by 3 (x3 for each side)
Eg. figure b - 1. Figure a - 3
7 0
2 years ago
Read 2 more answers
G(x)=(cosθsinθ)^4 what's the differential
natulia [17]

Answer:

sin²2θ. (cos θ sin θ). cos 2θ

Step-by-step explanation:

finding g'(x)

g'(x)

  • (x^n)' = nx^(n -1)

= 4 (cosθsinθ)³ . { cosθ. (sinθ)' + sinθ. (cosθ)' }

  • (cosθ)' = - sinθ
  • (sinθ)' = cosθ

= 4 (cosθsinθ)³ { cosθ. cos θ + sinθ.(-sin θ)}

= 4 (cosθsinθ)³{ cos²θ - sin²θ}

  • cos²θ - sin²θ = cos 2θ
  • 2sinθ cosθ = sin 2θ

= (4 cosθ sinθ)². (cosθ sinθ). { cos²θ - sin²θ}

= <u>sin²2θ. (cos θ sin θ). cos 2θ</u>

4 0
3 years ago
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