Answer:
Radius of the convergence is R =
and,
The Interval of convergence is
Step-by-step explanation:
Given function : Σ(21x)^k
Now,
Using the ratio test, we have
R =
or
R =
or
R =
now,
for convergence R|x| < 1
Therefore,
< 1
or
and,
Radius of the convergence is R =
and,
The Interval of convergence is
Answer:
- answer is 1.25
- 90
<h2>
Step-by-step explanation:</h2><h2 />
<u>i</u><u> </u><u>h</u><u>o</u><u>p</u><u>e</u><u> </u><u>i</u><u>t</u><u>s</u><u> </u><u>h</u><u>e</u><u>l</u><u>p</u><u> </u><u>y</u><u>o</u><u>u</u>
The distance between the school and the library is less. Then the library is closer to school.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
On one map of a town, the scale from the town to the map is 12mi:3cm.
The school is 2.5cm from the grocery store on this map.
Then the distance between the school and the grocery store will be
⇒ (12 / 3) x 2.5
⇒ 10 miles
On a different map of the same town, the scale from the town to the make is 12mi: 2cm.
The school is 1.5cm from the library on that map.
Then the distance between the school and the library will be
⇒ (12 / 2) x 1.5
⇒ 9 miles
Thus, the distance between the school and the library is less.
Then the library is closer to school.
More about the dilation link is given below.
brainly.com/question/2856466
#SPJ1
5 lbs of apples x pounds of apples---------------------- = ----------------------------2 cups of sugar 4/3 cup of sugar Solve for x.
Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.
The 2 numbers picked right, there are 5C2=10 different possibilities.
The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.
For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.
Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.
Now the way to find probabilities is want/total
The want is 46900 and the total is 435897
Doing the division you get the number rounded to the nearest thousandths as 0.107 or in percent form as
10.759% chance of picking exactly 2 winning numbers.
This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.