Answer:
x = 9.99
Step-by-step explanation:
Using sine law , we have
Sine F/f = sine E/x
Sine 55deg/12 = Sine43deg/x
0.8192/12 = 0.6820/x
Cross multiply
0.8192 X x = 12 x 0.6820
0.8192x = 8.184
Divide both sides by 0.8192
0.8192x/0.8192=8.184/0.8192
x = 9.99
The boundary line is solid and the area above the line is shaded making the inequality
D. y≥3x+2
It is not recommended that points be marked with X, let's marked with C(6,6)=(Xc,Yc)
The coordinates of the point C(Xc,Yc) which belongs to the line AB and divides line AB in a ratio m : n = 1 : 2 or m/n=1/2 are get it with following formula
Xc=(Xa+(m/n)Xb) / (1+(m/n)) and Yc=(Ya+(m/n)Yb) / (1+(m/n))
We have A(2,2)=(Xa,Ya) and B(14,14)=(Xb,Yb)
When we replace given coordinates we get
Xc=(2+(1/2)*14) / (1+(1/2)) = (2+7) /(3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Xc=6
Yc=(2+(1/2)*14) / (1+(1/2)) = (2+7) / (3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Yc=6
C(Xc,Yc)=(6,6)
Good luck!!!
5/6 x 5/6 x 5/6 x 5/6 x 1/6
625/7776
This is the probability of her rolling a 1 on her <span>fifth roll and not before.
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Answer:
85.56% probability that less than 6 of them have a high school diploma
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
50% of adult workers have a high school diploma.
This means that
If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
This is P(X < 6) when n = 8.
In which
85.56% probability that less than 6 of them have a high school diploma