The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
<u>The expected number of mortgages approved per week</u> :
- <em>Mean = (Σfx ÷ Σf)</em>
Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
<u>The standard deviation</u> :
- <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>
- <em>Standard deviation = √Variance</em>
Variance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
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Answer:
sum of 22nd = 1,428.05
sum of 23 to 40 is 932.53
Step-by-step explanation:
A(n)=20(1.1)^n-1
20 is the first term or a1
1.1 is the common ratio or r
A(22) = 20(1.1)^22-1
22nd term = 20(1.1)^21
22nd term = 148.00
sum of geometric sequence
formula
Sn = a1(1-r^n)/1-r
Sn = sum
a1 = first term
n = number of term
r = constant ratio
sum of 22nd = 1,428.05.
23 to 40 is 17 terms
Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...
The 17th term: 105.684378686
Sum of the first 17 terms: 932.528165548
socratic
miniwebtoolcomgeometricsequencecalculator
The answer is 5 units. the top is 10, and x is half of that
Answer:
No
Step-by-step explanation:
For this triangle to be a right triangle the following has to happen:
a^2 + b^2 = c^2
a=3, b=9, c= 12
3^2+9^2 does not equal 12^2
9+81 = 90 12^2 = 144
90 does not equal 144 so is not a right triangle
