Answer:
<u>x = 39</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle always add up to 180 degrees.
Upon saying that, we have:
102 + 39 + x = 180
x = 180 - 102 - 39
x = 39
<u>The value of x is 39 degrees</u>
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The probability of passing the test is 
The sample size is n = 10
Generally the distribution of the comprehensive testing of equipment follows a binomial distribution
i.e

and the probability distribution function for binomial distribution is

Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that at least 9 pass the test is mathematically represented as

=> ![P(X \ge 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}] + [^{10}C_{10} * (0.95)^{10} * (1- 0.95)^{10-10}]](https://tex.z-dn.net/?f=P%28X%20%5Cge%209%29%20%3D%20%20%5B%5E%7B10%7DC_9%20%2A%20%20%280.95%29%5E9%20%2A%20%20%281-%200.95%29%5E%7B10-9%7D%5D%20%2B%20%5B%5E%7B10%7DC_%7B10%7D%20%2A%20%20%280.95%29%5E%7B10%7D%20%2A%20%20%281-%200.95%29%5E%7B10-10%7D%5D)
=> ![P(X \ge 9) = [0.3151] + [0.5987]](https://tex.z-dn.net/?f=P%28X%20%5Cge%209%29%20%3D%20%20%5B0.3151%5D%20%2B%20%5B0.5987%5D%20)
=> 
Answer:
−5xy^2+y^3+25x^2−5xy−y^2
Step-by-step explanation:
25x^2−5xy−5xy^2+y^3−y^2=
25x^2−5xy−2
———————————-
Bill is 5 years old and annie is 6 years old so, you multiply 5×6=30