Does the equation below define a liner function
1 answer:
You might be interested in
Answer:
And we can use the z score formula given by:
And if we find the parameters we got:
And we can find the z score for the value of 0.4 and we got:
And we can find this probability:
And if we use the normal standard table or excel we got:
Step-by-step explanation:
For this case we have the following info given:
represent the proportion of the company's orders come from first-time customers
represent the sample size
And we want to find the following probability:
And we can use the normal approximation since we have the following two conditions:
1) np = 158*0.26 = 41.08>10
2) n(1-p) = 158*(1-0.26) = 116.92>10
And for this case the distribution for the sample proportion is given by:
And we can use the z score formula given by:
And if we find the parameters we got:
And we can find the z score for the value of 0.4 and we got:
And we can find this probability:
And if we use the normal standard table or excel we got:
Answer:
ASA
Step-by-step explanation:
Given:
Two triangles ABC and EDC such that:
AB ⊥ BD and BD ⊥ DE
C is the midpoint of BD.
The two triangles are drawn below.
Since, AB ⊥ BD and BD ⊥ DE
Therefore, the two triangles are right angled triangle. The triangle ABC is right angled at vertex B. The triangle EDC is right angled at vertex D.
Since, point C is the midpoint of the line segment BD.
Therefore, C divides the line segment BD into two equal parts.
So, segment BC ≅ segment CD (Midpoint theorem)
Now, consider the triangles ABC and EDC.
Statements Reason
1. ∠ABC ≅ ∠CDE Right angles are congruent to each other
2. BC ≅ CD Midpoint theorem. C is midpoint of BD
3. ∠ACB ≅ ∠ECD Vertically opposite angles are congruent
Therefore, the two triangles are congruent by ASA postulate.
So, the second option is correct.
