Answer:
k = -18
Step-by-step explanation:
If x-3 is a factor, what this means is that if we substitute;
x = 3 into the equation, we should get 0
This is from the factor theorem
Thus ;
P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k
0 = 54 - 45 + 9 + k
k + 18 = 0
k = -18
Answer:
127
Step-by-step explanation:
The angles add up to 180° since they are on a straight line. Find 3x - 5.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 180 - 4
= 176
x = 176 ÷ 4
x = 44
3x - 5 = 3(44) - 5
= 132 - 5
= 127
Answer:
Step-by-step explanation:
Because 1/2 of 6 =1/3 and 1/2×1/3=1/6
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
