A vector w orthogonal to u and v can be obtained by the cross product of u and v, namely u x v. Subsequently, u x v may be reduced to a unit vector.
u<-8,-6,4>
v<10,-18,-2>
w=u x v
=
i j k
-8 -6 4
10 -18 -2
=<12+72, 40-16, 144+60>
=<84, 24, 204>
=12 < 7,2,17>
Check that w is orthogonal to u and v
w.u = 12<7,2,17><-8,-6,4> = 12(-56-12,68)=0
w.v = 12<7,2,17><10,-18,-2> = 12(70-36-34)=0
Therefore w is orthogonal to both u and v.
Unit vector of w
Answer:
Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis
Step-by-step explanation:
Sample proportion = p= 531/648 = 0.8194
This is the proportion of men that were hit by lightening
Null hypothesis: H0: p = 0.5
Alternate hypothesis: H1: p ≠ 0.5
Test statistics z = 0.8194-0.5/(√0.5x0.5/648)
= 0.8194-0.5/√0.0003858
= 0.3194/0.019642
= 16.26
Since the z > 1.96 (at 5% significance) we reject the null hypothesis.
Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.
Please check attachment!
Answer:
$53
Step-by-step explanation:
17+24=41
41+12=53
Answer:
0.6065
Step-by-step explanation:
Probability mass function of probability distribution : 
a mean of 0.05 flaw per square foot
Each car contains 10 sq.feet of the plastic roll
Mean = 0.05
Mean = 
We are supposed to find What is the probability that there are no flaws in a given car’s interior i.e,P(X=0)
Substitute the value in the formula
Hence the probability that there are no flaws in a given car’s interior is 0.6065
Ok, so if he walks 4 miles per 64 minutes, or 4 miles/64 min which will
reduce to 1 mile/ 16 min, then the numbers of miles he walks in a given
number of minutes would be
1/16 * number of minutes
The question states we represent miles with y and number of minutes with x, so...
y = 1/16x
So let's check it...
How many miles (y) in 64 minutes (x)
y = 1/16x
y = 1/16 * 64
y = 64/16 = 4 miles
Yep! It checks!
