(4,-1) turns into (1,4) because the equation for that is (x,y)->(y•-1,x)
24 x 8 = 192
192 / 2 = 96
I am not sure if my answer is true.
Answer:
The right answer is:
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
Step-by-step explanation:
At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.
The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.
Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.
The right answer is:
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
Answer:
B. binomial with n = 5 and p = 1/6
Step-by-step explanation:
Given that James reads that 1 out of 6 eggs contains salmonella bacteria.
So he never uses more than 5 eggs in cooking.
If eggs do or don't contain salmonella independently of each other, then
probability for any one egg to contain salmonella bacteria is the constant 1/6.
Also there are only two outcomes, either bacteria present or not.
Hence the number of contaminated eggs when James uses 5 chosen at random has the distribution is Binomial
Here n = no of trials = no of eggs he uses = 5
Probability = 1/6
So option B is right.
Answer:
32
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;
The are of a square of length l is given as;
Combining these two equations yields;
Next, we have been given;
We are required to find;
when z = 4
By chain rule;
Differentiating with respect to z yields;
Therefore,
= 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32
