Let's say that Stan invested $1500 at 6%. To find how much he invested at 4.5% would be 5000 - 1500 = $3500. Now we have a pattern. Now let's say stan invested x dollars. Even though it is unknown, we can set up how much is left. So subtract x from 5000 or 5000 - x which is C
Answer:
12
Step-by-step explanation:
Answer:
C = 1.
Step-by-step explanation:
x^2 - 2x = (x - 1)^2 - 1 so:
x^2 - 2x + C = (x - 1)^2 - 1 + C
So to get a perfect square C must be 1 ( as -1 + 1 = 0):-
(x - 1)^2 - 1 + 1 = (x - 1)^2
Checking this:
x^2 - 2x + 1
= (x - 1)(x - 1) which is a perfect square./
Approximately 95% of bags contain between 65 and 85 potato chips.
<u>Step-by-step explanation</u>:
step 1 :
Given,
The mean, M = 75
Standard deviation, SD = 5
step 2 :
From Normal distribution,
The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD
The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD
step 3 :
Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65
Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85
step 4 :
Calculate the percentage between 65 and 85:
(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%
= 96 % (which is approximately 95 %)
Answer: 11.4 m
Step-by-step explanation:
The scenario depicted is that of a right angled triangle with the 7 meters being the base and the 9 meters being the height.
The length of the ladder will therefore be the Hypothenuse.
Using the Pythagorean Rule:
a² + b² = c²
with c being the hypothenuse
7² + 9² = c²
49 + 81 = c²
c²= 130
c = √130
c = 11.4 m
