Answer:
2.25 radians
Step-by-step explanation:
First we need to find the length of the circunference, using the formula:
C = 2 * pi * r
Where r is the radius. Using r = 8, we have:
C = 2 * pi * 8 = 50.2655 cm
Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:
2pi rad -> 50.2655 cm
x -> 18 cm
x = 18 * 2pi / 50.2655
x = 2.25 rad
Answer:
2.5%
Step-by-step explanation:
The percentage of people taking the test who are above 698 is ___%
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question, we have:
Mean of 514 and a Standard deviation of 92
Hence:
μ ± xσ
514 ± 92x = 698
514 + 92x = 698
92x = 698 - 514
92x = 184
x = 184/92
x = 2
Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:
100 - 95% /2
= 5/2
= 2.5%
The percentage of people taking the test who are above 698 is 2.5%
Answer:
3600
Step-by-step explanation:
Each PERSON cost:
Travel cost 130 (assume for whole 7 days since per day is not written)
Hotel 60 per day (so 7 days = 60 * 7 = 420)
Money Spend 350 (assume for whole 7 days since per day is not written)
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Now, that sums to:
130 + 420 + 350 = £900 [each person for whole 7 days]
Now, there are 4 person, so total cost of whole group (4 persons):
900 * 4 = £ 3600
The right answer for the question that is being asked and shown above is that:
1)linear equation (specific) => A)2x + 3y = 8
2)graph of system of linear equations with no solution => E)parallel lines
3)slope of a vertical line => D)no slope
4)graph of linear inequality => <span>F)half-plane </span>
5)slope of a horizontal line => <span>C)0 </span>
6)system of linear equations => B)2x + y = 7 and 3x - 4y = 8
