Answer:
v = - 3
Step-by-step explanation:
Given
v = u + at ← substitute u = 2, a = - 5, t = 1 into the expression
v = 2 + (- 5 × 1) = 2 + (- 5) = 2 - 5 = - 3
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:
4000 and 7000
Step-by-step explanation:
Answer:
0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3
Step-by-step explanation:
We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.
Solving,
= 0.3(8.2 x 10^-3)
= 0.3 * 0.0082
= 0.00246
Writing in scientific notation
= 2.46 X 10 ^ -3
So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.
Answer:
k=4
Step-by-step explanation:
5-7k=-4(k+1)-3
Distribute
5-7k=-4k-4-3
Combine like terms
5-7k=-4k-7
Add 7k to each side
5-7k +7k = -4k+7k-7
5 = 3k-7
Add 7 to each side
5+7 = 3k-7+7
12 = 3k
Divide by 3
12/3 = 3k/3
4=k