Answer:
a
n
=
−
2
n
+
15
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
−
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
−
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
13
and
d
=
−
2
.
a
n
=
13
+
(
−
2
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
13
−
2
n
+
2
Add
13
and
2
.
a
n
=
−
2
n
+
15
Answer:
x-intercepts: -5 +/-
. y-intercept: 4
Step-by-step explanation:
For x-intercepts use the quadratic equation
Fill in your values:
And solve
For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.
Answer:
Step-by-step explanation:
We are given the following information in the question:
Percentage of of the diners who make reservations don't show up = 3%
Number of reservations = 83
Thus, we are given a binomial distribution with n = 83 and p = 0.97
Around 81 people can be expected to show up.
The standard deviation of this distribution is 1.56
Answer:
The measure of the third angle is 35°.
Step-by-step explanation:
The sum of the three angles of a triangle is always 180°.
Let the measure of the third angle be x.
∴ 61° + 84° + x = 180°
145 + x =180°
x = 180 - 145
x = 35°
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