Hello!
You can distribute the 10
50x - 6 + 50
Combine like terms
50x = 44
Divide both sides by 50
x = 44/50
Simplify
x = 22/25 = 0.88
The answer is x = 0.88
Hope this helps!
If the spinner is spun three times, there are three possibilities for each spin, so there are 3*3*3=27 possible outcomes. Note that the letters on the spinner are extraneous information (i.e. you don't need to know what the letters are to solve the problem).
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,-3) and (-4,7)
The midpoint is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer: the correct option is e
Step-by-step explanation:
Since the The length of time needed to complete a certain test is normally distributed, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = The length of time needed to complete a certain test
u = mean time
s = standard deviation
From the information given,
u = 62 minutes
s = 8 minutes
We want to find the probability the probability that it will take less than 74 minutes to complete the test. It is expressed as
P(x lesser than or equal to 74)
For x = 74,
z = (74 - 62)/8 = 1.5
Looking at the normal distribution table, the corresponding value for the z score is 0.9332
P(x lesser than or equal to 74) = 0.9332
Answer:
0.0018 = 0.18% probability of two out of tree people having a reaction.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a reaction, or they do not. The probability of a person having a reaction is independent of any other person. This means that the binomial probability distribution is used 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.
The probability of someone having a reaction to a medication is 0.025.
This means that 
What is the probability of two out of tree people having a reaction?
This is
when
. So


0.0018 = 0.18% probability of two out of tree people having a reaction.