Answer:
10a²+5ab+2b²
Step-by-step explanation:
Start by combining like terms aka the ones that match:
Step 1: (4a²-5ab-6b²) + (10ab+6a²+8b²)
Step 2: (10a²-5ab-6b²) + (10ab+8b²)
Step 3: (10a²+5ab-6b²+8b²)
Final answer: 10a²+5ab+2b²
In step 1, I added the 4 and 6. In step 2, I added -5 and 10. In step 3, I added -6 and 8. For each I attached the proper ending (a², ab, and b²).
I hope this clears some confusion!
Answer:
If the scientist’s estimate about the number of fish in the lake is correct, then it is 44% likely to get 20 perch out of 50 with a tag.
Step-by-step explanation:
Let p be the proportion of tagged white perch in the Midwestern lake.
Scientist's claim is that p=
Let's test this hypothesis as:
p=0.30
p≠0.30
P-value of the test statistic will give the likelihood of getting 20 perch out of 50 with a tag if the scientist's estimate (
) is true.
Test statistic can be calculated using the equation
where
- p(s) is the sample proportion of white perch (
)
- p is the proportion assumed under null hypothesis. (0.30)
- N is the sample size (50)
Then
≈ -0.77
Two tailed p-value of the test statistic is ≈ 0.44
Thus if the scientist’s estimate about the number of fish in the lake is correct, (p=0.30) then it is 44% likely to get 20 perch out of 50 with a tag.
Answer:
x = 14
Step-by-step explanation:
4x - 4 + 4x - 4 + x = 118
9x - 8 = 118
9x = 126
x = 14
Answer:
B
Step-by-step explanation: