Answer:
-38 - 12x < 200
Step-by-step explanation:
Given,
The original elevation = -38 feet,
Also, the explorer starts moving at a rate of negative 12 feet per minute.
So, the distance covered by explorer after x minutes = -12x feet,
Thus, the final elevation = original elevation + distance covered by explorer
= -38 - 12x
According to the question,
final elevation < -200 feet
⇒ -38 - 12x < 200
Which is the required inequality.
The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
x² − 10x − 11 = 0
Then the equation can be written as
x² − 10x + 25 – 25 − 11 = 0
(x – 5)² = 36
Then the correct option is A.
The complete question is attached below.
More about the equivalent link is given below.
brainly.com/question/889935
#SPJ1
Step-by-step explanation:
SO, OT is parallel to the vector a+2b
Answer:
a) E(X) = 71
b) V(X) = 20.59
Sigma = 4.538
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).
</em>
<em>
Suppose we randomly select 100 tweets.
</em>
<em>a) What is the expected number of these tweets with no reaction?
</em>
<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>
This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.
The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

Then, the standard deviation becomes:
