Answer:
(a) t = 1.6766
Step-by-step explanation:
n = 50
degree of freedom = n - 1 = 50 - 1 = 49
confidence level = 90%
The critical value corresponding to 90% confidence level and 49 degrees of freedom is obtained by interpolating between 48 and 50 degrees of freedom (df)
Let the critical value at 49 df be y
dof. critical value
48. 1.677
49. y
50. 1.676
(49 - 48)/(50 - 48) = (y - 1.677)/(1.676 - 1.677)
0.5 × -1×10^-3 = y - 1.677
y - 1.677 = -5×10^-4
y = -5×10^-4 + 1.677 = 1.6765
The closest option is (a)
Answer:
30000 simple interest ,50000 total repayment.
Step-by-step explanation:
sorry iam terrible at explaining,
Answer:
11 +13 + 15 = 39
Step-by-step explanation:
Let the consecutive odd integer be X , Y , Z .
X < Y < Z
Y = X + 2
Z = X + 4
Given ,
2 Y + X = 2 Z + 7
2 ( X + 2 ) + X = 2 ( X + 4 ) + 7
2 X + 4 + X = 2 X + 8 + 7
X = 15 - 4 = 11
So the integers are
11 , 13 , 15 .
Sum of integers = 39.
I think the correct answer from the choices listed above is option A. It would be point that can be represented by coordinates x comma y. <span>A </span>point<span> is an exact position or location on a plane surface it is characterized by and x and y coordinate. Hope this answers the question.</span>
Answer:
a. The common ratio is 0.5
b) The value of the first term is 29
c) The sum of the first 5 terms is 56.1875
Step-by-step explanation:
The nth term of the geometric sequence is a = a, where
The sum of the nth term is S =
∵ The second term of a geometric sequence is 14.5
∴ n = 2
∴ a = 14.5
∵ a = ar
→ Equate the right sides of a by 14.5
∵ ar = 14.5 ⇒ (1)
∵ The fifth term is 1.8125
∴ n = 5
∴ a = 1.8125
∵ a = a
→ Equate the right sides of a by 14.5
∵ a = 1.8125 ⇒ (2)
→ Divide equation (2) by equation (1)
∵ =
∴ r³ = 0.125
→ Take ∛ for both sides
∴ r = 0.5
a. The common ratio is 0.5
→ Substitute the value of r in equation (1) to find a
∵ a(0.5) = 14.5
∴ 0.5a = 14.5
→ Divide both sides by 0.5
∴ a = 29
b) The value of the first term is 29
∵ n = 5
∴ S =
∴ S = 56.1875
c) The sum of the first 5 terms is 56.1875