Answer:
23.6°
Step-by-step explanation:
In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
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10 = Hypotenuse
4 = Opposite
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We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values to find the value of angle XVW
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 4 ÷ 10
The value of angle XVW is 23.57817848
Answer:
3
Step-by-step explanation:
15 minus 9 equals 6. 6 divided by 2 equals 3.
Answer:
12 in
Step-by-step explanation:
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Answer:
(b) 
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:
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:
We want to know the probability of obtaining a white ball in both urns. This is: P(
and 
)
As the events are independent:
P( and ) = P () * P ()
P( and ) = 
P( and ) =
Finally the correct option is (b)
Answer:22
Step-by-step explanation:
