Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259
Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:
1) Find the proportion 
, in which x is the number of people with the desired condition. In our case, p=0.9;
2) Calculate margin of error, i.e.:
z is z-score, which for a 95% confidence, equals 1.96;
Substituting with the data given:
= 0.0259
3) Write: p ±
In our case, the interval will be 0.9 ± 0.0259.
<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259
(8c+2a)(4+b)
(8c)(4)+(8c)(b)+(2a)(4)+(2a)(b)
32c+8bc+8a+2ab
2ab+8bc+8a+32c
Answer:
- 3/4
- 4/13
- 7/26
- 2/13
- 5.52
Step-by-step explanation:
<u>(a)</u>
- Probability (A heart or a black card) = 13 + 26 / 52
- Probability (A heart or a black card) = 39/52
- Probability (A heart or a black card) = 3/4
<u>(b)</u>
- Probability (A heart or a jack) = 13 + 3 / 52
- Probability (A heart or a jack) = 16/52
- Probability (A heart or a jack) = 4/13
<u>(c)</u>
- Probability (A heart and the ace of clubs) = 13 + 1 / 52
- Probability (A heart and the ace of clubs) = 14/52
- Probability (A heart and the ace of clubs) = 7/26
<u>(d)</u>
- Probability (A 9 or a jack) = 4 + 4 / 52
- Probability (A 9 or a jack) = 8/52
- Probability (A 9 or a jack) = 2/13
<u>(e)</u>
- Probability (The 9 of hearts or a jack) = 1 + 4 / 52
- Probability (The 9 of hearts or a jack) = 5/52
Answer:
y = -3x - 1
Step-by-step explanation:
y = mx + c
m = (-4-2)/(1-(-1)) = -6/2 = -3
y = -3x + c
When x = -1, y = 2
2 = -3(-1) + c
c = 2 - 3 = -1
y = -3x - 1
85 comes immediately before
