Answer:
k = 7
Step-by-step explanation:
given y varies jointly with x and w then the equation relating them is
y = kxw ← k is the constant of variation
to find k use the condition when y = - 42, x = 2 and w = - 3 , then
- 42 = k × 2 × - 3
- 42 = - 6k ( divide both sides by - 6 )
7 = k
constant of variation is k = 7
The attached diagram represents the tree diagram for three consecutive mornings.
<h3>How to draw the tree diagram?</h3>
The probability of arriving on time is given as:
P(On Time) = 65%
Assume that the bus would definitely show up.
Then it means that the event is a binomial event and the possible outcomes are:
On Time and Late
The above means that the number of possible outcomes is 2.
For three consecutive mornings, the total outcome is:
Total = 2³
Evaluate
Total = 8
This means that the tree diagram would have 8 outcomes
Next, we draw the tree diagram (see attachment)
Read more about tree diagrams at:
brainly.com/question/9178814
#SPJ1
16b +5c -10 -8c +2b
18b - 3c -10
Answer:
b
Step-by-step explanation:
Answer:
no trangles can be formed
Step-by-step explanation:
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
sin(a) sin(b)
------------ = ------------
A B
Upon substituting the given values of angle A, and sides a and b, we get:
sin(75) sin(B)
------------ = ------------
2 3
Upon solving this equation for B, we get:
----->3sin(75)=2sin(B)
----->sin(B)=3sin(75)
-------------
2
------>sinB=1.4488
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
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