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snow_tiger [21]
3 years ago
13

6) It takes a biker 1/3 hour to ride 8/3 miles. What is

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0
I think the answer is B
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The Highway Safety Department wants to study the driving habits of individuals. A sample of 41 cars traveling on the highway rev
PolarNik [594]

Answer:

58,21    ≤   μ  ≤   61,79

Step-by-step explanation:

Normal Distribution

Poputation size        n = 41

Population mean         X  = 60

Population standard deviation    σ = 7

Question is: Confidence Interval 90 % ??

As Confidence Interval is 90 %   then  α  = 10 %

And as we are dealing with a two tail test

α/2  = 0,05

We look in Z table for values for  α/2  = 0,05  and find

z(α/2)  =  - 1,64      and    z(α/2) =  1,64

Then

Confidence Interval is

X - Zα/2 * σ/√n   ≤  μ  ≤  X + Zα/2 * σ/√n

60 - ( 1,64 ) * 7/√41  ≤   μ  ≤  60 + ( 1,64 ) * 7/√41

60 -  1,64 * 1,09375   ≤   μ  ≤  60 +  1,64 * 1,09375

60 - 1,79375    ≤   μ  ≤  60 +  1,79375

58,21    ≤   μ  ≤   61,79

4 0
4 years ago
The total number of restaurant purchased meals that the average person will eat in a restaurant, and a car, or at home in a year
Andrei [34K]

Answer:

  • 80 restaurant purchased meals are eaten in a restaurant
  • 31 meals are eaten in a car
  • 60 meals are eaten at home

Step-by-step explanation:

Let us suppose r be the total number of meals eaten in a restaurant

Let us suppose c be the total number of meals eaten in a car

Let us suppose h be the total number of meals eaten in a home

  • The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence, r + c + h = 171.....[A]
  • The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence, c + h = r + 11.....[B]
  • Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence, r = h + 20.....[C]

Substituting Equation [B] into [A],

r + c + h = 171.....[A]

r + r + 11 = 171

2r + 11 = 171

2r = 160

r = 80

Putting r = 80 in r = h + 20.....[C]

80 = h + 20

h = 60

Putting r = 80 and h = 60 in r + c + h = 171.....[A]

80 + c + 60 = 171

c = 171 - 60 - 80

c = 31

Therefore,

  • 80 restaurant purchased meals are eaten in a restaurant
  • 31 meals are eaten in a car
  • 60 meals are eaten at home

Verification:

r + c + h = 171

Putting r = 80, c = 31 and h = 60 in r + c + h = 171

80 + 31 + 60 = 171

171 = 171

<em>Keywords: number, equation</em>

<em>Learn more word problem from brainly.com/question/11920172</em>

#learnwithBrainly

5 0
3 years ago
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