Answer:
34.0 m
Step-by-step explanation:
The total angle sum in a triangle should be 180° hence the missing angle will be given by
180°-145°-28°=7°
Using sine rule

By substituting 160 for m, 145° for M and 7° for L then

Making l the subject then

The x-intercept is present where y = 0
2x + 5y - 10 = 0
2x - 10 = -5y
2x - 10 = -5(0)
2x = 10
x = 5
The y-intercept is present where x = 0
2x + 5y = 10
2x + 5y - 10 = 0
5y - 10 = -2(0)
5y = 10
y = 2
Answer:
a. 0.4
b. Not independent.
Step-by-step explanation:
a. We use the probability table attached below for our calculations.
-the probability that an agreement is reached on both sides is obtained from the table:

b. To determine whether the two events are independent, we compare the probabilities
and
where i denotes insurance and s denotes salaries:

Two events are considered to be independent, if and only if:

Hence, the events are not independent.
Answer:
1) The probability that the second apple is red is 0.7143 (71.43%).
2) The probability that at least one red apple is picked 0.9341 (93.41%).
Step-by-step explanation:
We can make a probability tree as the attached picture.
1) There are 2 ways in the probability tree when the second apple is red:
Both apples are red:
P(R∩R)=
=0.4945
Only the second apple is red:
P(Y∩R)=
=0.2198
The probability that the second apple is red is the sum of the previous probabilities.
P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143
2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.
The way in the probability tree is Y∩Y:
P(Y∩Y)=
=0.0659
P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341
Answer:
81
Step-by-step explanation:
If
then what will
be?
We substitute
into
to get 