There is a pattern of -2, -6, so the next number is 20.
Answer:
53 marks
Step-by-step explanation:
To sue a linear equation to solve the given problem, we must assign a function to the score of one of them. Let the score of Azmah be N. Then given that Azmah scored 17 marks more than Yazid, Yazid's score will be
= N - 17
Given that Suzana's score is twice of Yazid's score, then Suzana's score
= 2(N - 17)
If their total score is 161 then
N + N - 17 + 2(N - 17) = 161
4N = 161 + 51
4N = 212
N = 53 . This is Azmah's score
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
Answer:
2
Step-by-step explanation:
You set up and equation:
5+6x = 17
You solve it and get 2.
Answer:
The answer is "The correct step are 1, 2 and 4
".
Step-by-step explanation:
In the question some data is missing so, its correct question can be defined as follows:
In the given equation:
Lorena's steps should be evaluated
In Stage 1: It is right because it allocates – 3 to parentheses appropriately, , that's why she has 5k-6k+2-9=0
In Stage 2: It is right because in this term 5k and 2k are merged, that's why she got -k-7=0
In Stage 3: It is not right because the propagation property of fair treatment was not used.
In Stage 4: It is right because it multiplies the variable on one of the two sides by -1. So, k=-7 to get.
