Answer:
13
Step-by-step explanation:
Since Lupe is 3 times as many as Frances
39 ÷ 3= 13
Answer:
a. (92.4, 94.8)
Step-by-step explanation:
Given that:
Mean (m) = 93.6
Standard deviation (σ) = 4.2
Sample size (n) = 34
α = 90%
Confidence interval around sample mean :
Mean ± Zstatistic * s/√n
Z0.90 = 1.645 (Z probability calculator)
s / √n = 4.2 / √34 = 0.7202940
Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4
Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8
For finding, the sum of last ten terms, we write the given AP in reverse order i.e, 126, 124, 122,..., 12, 10, 8
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,
![S _{10} = \frac{10}{2} [ 2a + (10 - 1)d ] \:](https://tex.z-dn.net/?f=S%20_%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%20%5B%202a%20%2B%20%2810%20-%201%29d%20%5D%20%5C%3A%20)
![= 5 [2(126) + 9( - 2) ]](https://tex.z-dn.net/?f=%20%3D%205%20%5B2%28126%29%20%2B%209%28%20-%202%29%20%5D%20)
The quadratic equation is;
x²+5x-6 = 0
x²+6x-x-6 = 0
x(x+6)-1(x+6) = 0
(x+6)(x-1) = 0
So,
x+6 = 0 and x-1 = 0
x=-6 and x = 1
Thus the answer is
x = -6,1
0.13 , 0.19, 0.30 & 0.31 that's the answer
