This can help you
a) since it is discrete we need to think about the sum thing
it it was continuous we would look at an integral thing
so I think if I remember correctly we need to find c such that
<span><span>∑<span>i=0</span>3</span>c(<span>x2</span>+4)=1
b) </span>
problem b is a similar setup
Answer:
840 ( D )
Step-by-step explanation:
GIVEN DIGITS : 1,2,3,4,5,6,7,8
Number of odd numbers = 4
Number of even numbers = 4
therefore the number of odd numbers with 4 different digits can be formed by the same way the number of even numbers ( without repetition )
Hence the number of ways odd numbers with 4 different digits = Total number of ways of forming 4 digit numbers / 2
8*7*6*5 = 1680 / 2 = 840 ways
Answer: AC= 10 cm and CE= 5 cm
Step-by-step explanation:
In the given picture, Δ ADE is a right triangle
∴ By Pythagoras theorem,

Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,

Now, AE=AC+CE
⇒CE=AE-AC
⇒CE=15-10=5 cm
Answer:7cm
Step-by-step explanation:
m^3=343
Take the cube root of both sides
m=7
<h3>The interest rate is 8 % if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars</h3>
<em><u>Solution:</u></em>
Given that,
Principal = $ 857
Amount = $ 1268.36
Number of years = 6
Rate of interest = ?
Simple Interest = Amount - principal
Simple Interest = 1268.36 - 857
Simple Interest = 411.36
<em><u>Use the formula,</u></em>

Thus the interest rate is 8 %