Answer:
At the 0.05 level of significance, the claim made by Blue Diamond is true
Step-by-step explanation:
Given that the Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts.
(Two tailed chi square test at 5% significance level)
Chi square is calculated as (Obs_exp)^2/Expected
Cashews Brazil nuts Almonds Peanuts Total
Observed 5 6 6 3 20
Expected 40% 15% 20% 25% 1
Expected 8 3 4 5 20
Chi square 1.125 3 1 0.8 5.925
df = 3
p value = 0.1153
Since p value >0.0 we accept null hypothesis.
Answer:
df
Step-by-step explanation:
ff
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude
Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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Answer:
3.74
Step-by-step explanation:
Use Pythagorean theorem
2.5^2=x^2=4.5^2
x=3.74
