The proportion which falls within the range is 0.9.
Given that data:
x : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27
Mean = Σx / n
Using calculator :
Mean (m) = 13.5
Standard deviation (s) = 6.433
Proportion that lies in mean ± 2s
Lower = Mean - 2s
13.5 - 2(6.433) = 0. 632
Upper = Mean + 2s
13.5 + 2(6.433) = 26.376
Mean ± 2(sd) = (0.632, 26.276)
The only digit from the data which falls outside the defined range = 27
Proportion within interval = 9 / n
Proportion which falls within range = 9/10 = 0.9
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two students are running on a circular path. it takes the first student 25 minutes to complete one lap, and it takes the second student 30 minutes to complete one lap. if they both start at the same time and run in the same direction, when will they meet each other at the starting point? 175 minutes 150 minutes 25 minutes 5 minutes
150 Minutes
We need to find the Lcm of 25 and 30
Student 1 and Student 12 start from the same point, at same time and in same direction. So they meet again after lcm of the times taken by them individually.
What is LCM?
Least common multiple
To get the LCM we have to factorize the numbers,
25=5*5
30=2*5*3
LCM of 25 and 30 is 5*2*3*5 is 150
Therefore in 15 minutes they meet each other at the starting point
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Answer: 175
Step-by-step explanation:
If I buy a disc that costs $16.30 but there's a 10% discount how much I'm I going to pay
Answer:
$14.67
Step-by-step explanation:
The value of the discount is,
→ (10/100) × 16.30
→ 0.1 × 16.30
→ $1.630
Then the amount he should pay is,
→ 16.30 - 1.630
→ $14.67
Hence, he must pay $14.67.
Answer:
=14.67
Step-by-step explanation:
0.10×16.30=1.63 or
16.30-1.63=14.67 or[tex]\frac{1467}{100}[/tex]
i
Find an equation for the perpendicular bisector of the line segment whose endpoints are (7,-1) and (-9,3).
Answer: Determine the mid-point.
Determine the slope between the two points.
The slope of perpendicular is negative reciprocal
Use slope and mid-point is point slope form.
Step-by-step explanation:
What is the slope of the line? Coordinate grid ranging from negative five to five on the x and y axes. A line passes through points (negative two, one) and (two, negative one). Responses −12 negative fraction 1 over 2 end fraction 2 2 12 1 half −2
The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .
The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,
The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula
m = (d-b)/(c-a)
In the question
it is given that the line passes through the points (-2,1) and (2,-1) .
name the points as A(-2,1) and B(2,-1) .
the values are a=-2 , b=1 , c=2 , d=-1 .
Substituting the values in the formula of Slope we get
m = (-1-1)/(2-(-2))
= -2/(2 + 2)
= -2/4
= -1/2
Therefore , the slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .
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Answer:
Step-by-step explanation:
The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .
answer the questions on the pdf
3. Solve the formula v + f -e = 2 for e
O Ae-v-f-2
O BC v+f-2
O ce-v-f+2
O De-u+f+2
Answer:
B is the correct answer.
Step-by-step explanation:
Add -2+e to both sides
v + f − e -2+e = 2 -2+e
Which will give you v + f -2 = e.
