Let's check the dot product .
v.w = 5(4)-2(10) = 20 -20 =0
So the dot product is not 20 . And since the dot product is zero, so they are perpendicular.
And the y component of w is 10.
So correct options are first and third .
Answer:
There is no statistical evidence at 1% level to accept that the mean net contents exceeds 12 oz.
Step-by-step explanation:
Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.
We find mean = 11.015
Sample std deviation = 3.157
a) 
(Right tailed test)
Mean difference /std error = test statistic

p value =0.174
Since p >0.01, our alpha, fail to reject H0
Conclusion:
There is no statistical evidence at 1% level to accept that the mean net contents exceeds 12 oz.
Answer: 1 out of 4
Step-by-step explanation:
If you divided the total amount of balloons that were sold by the amount of white balloons, it would be 4. The 1 comes from 1 in 4 being the probability of them being white. You can check this by multiplying the 1 and 4 by 6 and it would be 6 out of 24, which shows our answer is correct.
Answer:
y = (x -2)^2 +4
Step-by-step explanation:
The vertex form of the equation of a parabola is ...
y = a(x -h)^2 +k
for vertex (h, k) and vertical scale factor "a". When a > 0, the parabola opens upward.
One equation for your parabola could be ...
y = (x -2)^2 +4
__
In standard form this one is ...
y = x^2 -4x +8
<u>Answer:</u>
2(-5 - 7j) = -10 - 14j
<u>Step-by-step explanation:</u>
Using the distributive property means that we have to multiply both -5 and -7j by 2:
2(-5 - 7j)
⇒ 2 × -5 + 2 × -7j
⇒ -10 - 14j