Answer:
Point form: (1,-2)
Equation form: x=1 y= -2
Step-by-step explanation:
Hope it helps
Answer:
Ethan can type 6 pages before meeting starts.
Step-by-step explanation:
Given that,
Ethan can type 2 pages in 1/8 hours
and his meeting is 3/4 hours late.
To find,
number of pages Ethan can type in 3/4 hours
<h3>1) </h3><h3>convert hours to minutes</h3>
1 hour = 60 minutes
1/8 hours = 1/8 * 60
= 7.5 minutes
3/4 hours = 3/4 * 60
= 45 minutes
<h3>2) </h3><h3>calculate pages typed</h3>
7.5 minutes = 1 page typed
1 minute = 1/7.5 pages typed
45 minutes = (1/7.5) * 45
= 6 pages typed
Answer:
y - 4 = 6(x - 7)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a,b) a point on the line
here m = 6 and (a, b) = (7, 4), hence
y - 4 = 6(x - 7) ← in point-slope form
Answer:
f(-3)
f(a) = -2a² - 5a + 4
Substitute a with its value, -3
f(-3) = -2(-3²) - 5(-3) + 4
f(-3) = -2(9) + 15 + 4
f(-3) = -18 + 19
f(-3) = 1
the value of f(-3) is 1.
Answer:
0.9744 probability that AT LEAST ONE of them has been vaccinated
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. 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.
60% of the people have been vaccinated.
This means that 
If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
This is
when 
.
We have that
In which
0.9744 probability that AT LEAST ONE of them has been vaccinated
