Answer:
Y=-1
Step-by-step explanation:
Y-4-4Y=-1
-3Y=-1+4
-3Y=3
Y=3÷-3
Y=-1
Answer: k = -10
Step-by-step explanation:
-4 = k + 6
-4 - 6 = k
-10 = k
(<span>4/9)/x = 12 </span>
<span>12x = 4/9 </span>
<span>x = 4 / (9•12) = 1 / (9*3) = 1/27</span>
Let the investment in first account be x and this account is earning 3% interest
So Interest on this account is 3% of x = 0.03x
So the investment in second account would be (7000-x) and this account is earning 7% interest
So the interest on this account is 7% of (7000-x) = 0.07*(7000-x)
Given that total interest for the year is $262
So we have
0.03x + 0.07(7000-x) = 262
0.03x - 0.07x + 0.07*7000 = 262
-0,04x + 490 = 262
-0.04x = 262-490
-0.04x = - 228
0.04x = 228x
x = 228/0.04
x = 5700
Therefore Investment in one account s 5700 and the investment in other account is 7000-5700 = 1300
Since we do not know the population standard deviation, we will use the t-distribution to construct the 90% confidence interval of the mean number of books people read. The value of

with 1010 degrees of freedom and with alpha equals to 0.10 is 1.64
First, we need to solve for the margin of error, E.

The lower bound of the confidence interval is

The upper bound of the confidence interval is

Therefore, the 90% confidence interval is
(13.94, 15.66).
We are 90% confident that the interval from 13.94 books to 15.66 books does contain the true value of the population mean number of books people read.