E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size
Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))
Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))
Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.
Answer:
AA similarity theorem
Step-by-step explanation:
we know that
<u>AA (Angle-Angle) Similarity</u> states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar
In this problem we have that
∠BCA=∠ECD ----> by vertical angles
∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)
therefore
Triangles ABC and EDC are similar by AA similarity theorem
Answer: 11
<u>Step-by-step explanation:</u>
3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸
To find the degree, look for the largest exponent. <em>11</em>
If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.
- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5
Answer:
first make everything inches so you have at least 62 inches and at most 73 inches, now create it.
Step-by-step explanation:
62<x<=73
Answer:
you multiply 10*2=20
and 2+3=5
Step-by-step explanation:
is this right or wrong?