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1 answer:
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Answer:
(-5, 0)
(-1, 0)
Step-by-step explanation:
x-intercepts are points where the graph intersects the x-axis (or when y = 0)
Step 1: Write out function
f(x) = x² + 6x + 5
Step 2: Factor
f(x) = (x + 5)(x + 1)
Step 3: Find binomial roots
x + 5 = 0
x = -5
x + 1 = 0
x = -1
Alternatively, you can graph the function and analyze the graph for x-intercepts:
Answer:
a. The sampling distribution for the sample mean will be skewed to the left centered at the average u, and standard deviation will be ∅
b. The sample distribution will be normal in shape and will be centered at the average u, . standard deviation will be ∅1
c. As the size of the sample increases, the sample distribution should draw near and resemble the distribution of the population
Step-by-step explanation:
A sample is chosen randomly from a population that was strongly skewed to the left. a) Describe the sampling distribution model for the sample mean if the sample size is small. b) If we make the sample larger, what happens to the sampling distribution model’s shape, center, and spread? c) As we make the sample larger, what happens to the expected distribution of the data in the sample?
The following answers will march the questions above:
a. The sampling distribution for the sample mean will be skewed to the left centered at the average u, and standard deviation will be ∅
b. The sample distribution will be normal in shape and will be centered at the average u, . standard deviation will be ∅1
c. As the size of the sample increases, the sample distribution should draw near and resemble the distribution of the population
Answer:
a. Angle Y is a right angle.
b. The measure of angle Z is 45°.
e. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. Then 2x is the measure of vertex angle Y, and the sum of angles is ...
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
so the triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of XZ is the altitude of the triangle XYZ. It creates two smaller right triangles with acute angles of 45°. Hence, those, too, are isosceles right triangles.
