These written below are the answers to these questions....
Translate triangle ABC down 5 units then left 2 units
Translate FGH up 5 units then right 2 units.
Answer:
29
Step-by-step explanation:
The n th term of an arithmetic sequence is
•
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = 1 - 7 = - 5 - 1 = - 6 and a₁ = 7,
= - 161, hence
7 - 6(n - 1) = - 161 ← solve for n
7 - 6n + 6 = - 161
13 - 6n = - 161 ( subtract 13 from both sides )
- 6n = - 174 ( divide both sides by - 6 )
n = 29
There are 29 terms in the sequence
Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
This is what I got for the inequality
let's firstly convert the mixed fractions to improper fractions and then multiply across.
![\bf \stackrel{mixed}{1\frac{8}{10}}\implies \cfrac{1\cdot 10+8}{10}\implies \stackrel{improper}{\cfrac{18}{10}\implies \cfrac{9}{5}}~\hfill \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{5}\cdot \cfrac{11}{2}\implies \cfrac{9\cdot 11}{5\cdot 2}\implies \cfrac{99}{10}\implies 9\frac{9}{10}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B8%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%2010%2B8%7D%7B10%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B18%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B5%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B11%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B9%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B11%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B9%5Ccdot%2011%7D%7B5%5Ccdot%202%7D%5Cimplies%20%5Ccfrac%7B99%7D%7B10%7D%5Cimplies%209%5Cfrac%7B9%7D%7B10%7D)