7.5 %
Step-by-step explanation:
We by finding how far from the mean the 999 volume caps are, using z score;
Z = (x – μ) / σ
Z = (999 – 998) / 7
Z = 0.143
We use the z-table to find the confidence levels;
= 85%
= 0.85
Since we are finding proportion of bottles have volumes greater than 999
mL;
1 – .85 = .15
0.15/2 = 0.075
= 7.5%
Answer:
5
Step-by-step explanation:
<u>move constant</u>
x+7 ≥ 12
<u>subtract</u>
x≥ 12-7
<u>solution</u>
x ≥ 5
Answer:
Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if 
. Recall that given two vectors a,b a⊥ b if and only if 
where 
is the dot product defined in 
. Suposse that 
. We want to find γ such that 
. Given that the dot product can be distributed and that it is linear, the following equation is obtained
Recall that 
are both real numbers, so by solving the value of γ, we get that
By construction, this γ is unique if 
, since if there was a 
such that 
, then
That's not a squre
anyway, we use ratios
base:person to corner=28:8
height to height=x:5
so
28/8=x/5 becasue same ratio
28/8=14/4=7/2
7/2=x/5
multiply
35/10=2x/10
35=2x
divide 2
17.5=x
x=17.5 feet
Answer: C,D
Step-by-step explanation:
