I think the answer is :2.955555554 x10 26
Answer:
The confidence interval = (7.8 , 8.0)
Step-by-step explanation:
Confidence Interval formula =
Mean ± z × Standard deviation/√n
Mean = 7.9
Standard deviation = 0.9
n = number of samples = 164
z = z score of an 80% confidence interval = 1.282
Confidence Interval = 7.9 ± 1.282 × 0.9/√164
= 7.9 ± 0.0900966432
Confidence Interval
= 7.9 - 0.0900966432
= 7.8099033568
Approximately to 1 decimal place = 7.8
7.9 + 0.0900966432
= 7.9900966432
Approximately to 1 decimal place = 8.0
Therefore, the confidence interval = (7.8 , 8.0)
Answer:
The first option
Step-by-step explanation:
The slope m can be calculated using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m = 
= 
The y- intercept is the point on the y- axis where the line crosses, that is - 2
Thus slope = and the y- intercept is - 2
Using proportions, the approximate length of time, in years, for the watch to lose exactly 24 hours is:
(d) 240.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
24 hours have 24 x 3600 = 86400 seconds, hence the <em>rule of three</em> is given by:
One second - 1/365 year
86400 seconds - x years
Applying cross multiplication:
x = 86400/365
x = 240.
Hence option D is correct.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Step-by-step explanation:
56. 6x = 132
x = 22
57. 2/3 = -8x
-24x = 2
x = -2/24= -1/12
58. 5/11x = 55
5x = 605
x = 121
59. 4/5 = 10/16x
4/5 = 5/8x
23 = 25x
23/25
60. 3 2/3x = 2/9
11/9x = 2/9
11x = 2
x = 2/11
61. 4 4/5x = 1 1/5
24/5x = 6/5
24x = 6
x = 6/24 = 1/4
