Step-by-step explanation:
if x is equal to - 1
Then
2x² + 5x + 6
= 2* ( -1)² + 5 * (- 1) + 6
= 2 - 5 + 6
= 8 - 5
= 3
Hope it will help :)❤
Answer:
20
Step-by-step explanation:
We know that the interior angle measures of a triangle are <u>180,</u> and we are told that this is a <u>right</u> triangle.
Since we know the measure of two angles, we just have to do basic math:
180=90+70+x
solve for x (which equals 20) to get the measure of your acute angle
Answer:
A total of 720 elk are likely to be infected
Step-by-step explanation:
we shall be using the proportion by survey to estimate the number of infections
From the survey 8 out of 50 are infected. Thus the likelihood of infection is 8/50
We have 4,500 elk to consider. The number of elk likely to be infected will be 8/50 * 4500 = 720
The executor of an estate handle the financial matters, D
They also handle the property and everything else owned by their deceased client. including the sortment or thier "will".
Answer:
1.15%
Step-by-step explanation:
To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:
![p^{m}](https://tex.z-dn.net/?f=%20p%5E%7Bm%7D%20)
![0.8^{20} = 1.15\%](https://tex.z-dn.net/?f=%200.8%5E%7B20%7D%20%3D%201.15%5C%25%20)
This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:
![\binom{n}{k} * p^{k} * (1-p)^{n-k}](https://tex.z-dn.net/?f=%20%5Cbinom%7Bn%7D%7Bk%7D%20%2A%20p%5E%7Bk%7D%20%2A%20%281-p%29%5E%7Bn-k%7D%20)
n is the number of events
k is the number of success
p is the probability of each individual event
is the binomial coefficient
the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).
![\binom{n}{k} = \frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=%20%5Cbinom%7Bn%7D%7Bk%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%20)
therefore, for this questions we have:
![\frac{20!}{20!(20-20)!} * 0.8^{20} * (1-0.8)^{0} = 1.15\%](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%21%7D%7B20%21%2820-20%29%21%7D%20%2A%200.8%5E%7B20%7D%20%2A%20%281-0.8%29%5E%7B0%7D%20%3D%201.15%5C%25%20)