Answer:
Length of arc AB = 4π
Step-by-step explanation:
Formula to get the arc length is given by,
Length of arc = 
Here, θ = central angle subtended by the arc AB
r = Radius of the circle
By substituting the values in the formula,
Therefore, length of arc AB = 
= 40π
Answer:
Check Explanation
Step-by-step explanation:
a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence
0.29938661 < p(japan) < 0.46984416
mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.
b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.
c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).
0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.
Hope this Helps!!!
<span>An actor invested some money at 9% simple interest, and $42,000 more than three times the amount at 12% per annum. </span><span>What we are after is amounts of interest invested at 9% and at 12%. Let's call them x and y respectively.
x=42000 at 9% = </span>$3,780.00 = $45,780.00
y=3x42000 at 12% = $15,120.00 = $141,120.00
x+y=$186,900.00
Answer:
a) 20 more people said their favorite vehicle color was blue compared to those who said white.
b) 55 people said their favorite vehicle color was either black or silver
Step-by-step explanation:
(a). How many more people said their favorite vehicle color was blue compared to those who said white explain?
250 people
32% said blue. 32% of 250 is 0.32*250 = 80
24% said white. 24% of 250 is 0.24*250 = 60
80 - 60 = 20
20 more people said their favorite vehicle color was blue compared to those who said white.
(B) how many people said their favorite vehicle color was either black or silver ?
18% said black, 4% said silver.
18 + 4 = 22% of 250 = 0.22*250 = 55
55 people said their favorite vehicle color was either black or silver
Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
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3. Points not on the same line are <em>noncollinear</em>. Point E does not lie on line AB, so points A, B, and E are noncollinear.
