Answer:
58, 37, 9
Step-by-step explanation:
Given:
First term a₁ = 65 and common difference d = - 7
This sequence is arithmetic series and formula for calculating n-th term is:
aₙ = a₁ + (n-1) d
Accordingly
The second term is:
a₂ = 65 + (2-1) (-7) = 65 - 7 = 58
a₂ = 58
The fifth term is:
a₅ = 65 + (5 - 1) (-7) = 65 + 4 · (-7) = 65 - 28 = 37
a₅ = 37
The ninth term is:
a₉ = 65 + (9 - 1) (-7) = 65 + 8 · (-7) = 65 - 56 = 9
a₉ = 9
God with you!!!
Answer:
And we can find this probability using the z table and we got:
Step-by-step explanation:
Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z table and we got:
Answer:
4 dollars / yard.
Step-by-step explanation:
Formula
Cost per yard = Total Dollars paid/ yards of fabric
As a decimal 1/4 = 0.25
Givens
Total dollars paid = 13
Total yards of fabric 3.25
Solution
cost per yard = 13 / 3.25
Cost per yard = 4 dollars per yard
Answer:

Step-by-step explanation:
Let
x ----> the number of minutes
y ----> the amount of fuel in gallons
we know that
The linear equation in slope intercept form is equal to

where
m is the unit rate or slope
b is the y-intercept or initial value
we have that
The unit rate or slope is equal to

----> initial value (value of y when the value of x is equal to zero)
substitute

A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015,
thus the exponential growth function of this situation is:
y=8000(1.015)ˣ
b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
y=8,878.76
Answer: $8,878.76