Factor. x^3+5x^2-4x-20
1 answer:
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Answer:
1
Step-by-step explanation:
Given table:
x -1 1 3 5
y -2 0 2 4
Unknown:
Slope of the line = ?
Solution:
Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;
Slope =
let us take;
x₁ = -1 x₂ = 3
y₁ = -2 y₂ = 2
Insert the parameters and solve;
Slope = =
= 1
The slope of the line is 1
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.
Step-by-step explanation:
∠6 = 10x
∠7 = 5x
∠6 = ∠8
∠7 = ∠5
Find value of x
∠5 + ∠6 + ∠7 + ∠8 = 360
5x + 10x + 5x + 10x = 360
30x = 360
x = 360/30
x = 12°
