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lana66690 [7]
3 years ago
12

The scale of a map is 1 inch : 9.5 miles.

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

  • 2.526 in
  • 4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

__

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

__

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

_____

Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

__

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

  map inches/ground miles = 1/9.5 = x/24

  route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

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Answer:
- The area of the two bases is 32π in².
- The lateral area is 40π in².
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7 0
3 years ago
Solve 12=-r-11 i really need help
Alika [10]
R = -23
that’s the answer
6 0
3 years ago
Read 2 more answers
Warm-Up
PtichkaEL [24]

Answer:

The w in w² + 5·w → Variable

The 2 in w² + 5·w → Exponent

The 5 in w² + 5·w → Coefficient

Step-by-step explanation:

1) The variable in an equation are the unknown values of the equation, and the values of the variables that meet the requirements of the equality are known as the solutions of the equations;

2) The exponent is the power to which a number or a variable is raised. It shows the number of times the variable or number multiples itself

3) The coefficient is the factor multiplying the variable in an equation or expression.

5 0
3 years ago
GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
Shkiper50 [21]
Answer:
20

Explanation:
For the mean to be 21, the total of the 5 numbers must be 21*5= 105

To find what the final quiz score must be, we need to subtract the first 4 scores from 105. 105- 21- 24- 23- 17= 20

We can check this answer by finding the median of the 5 numbers now (17,20,21,24,23). The new median is 21 which means the final quiz score must be 20!

Hope this helped! :)
3 0
2 years ago
The thickness of eight pads designed for use in aircraft engine mounts are measured. The results, in mm, are 41.8, 40.9, 42.1, 4
nika2105 [10]

Answer:

We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm

Step-by-step explanation:

Sample Information:

Results:

41.8

40.9

42.1

41.2

40.5

41.1

42.6

40.6

From the table we get:

sample mean :  x  =  41.35

sample standard deviation    s = 0.698

Hypothesis Test:

Null Hypothesis                    H₀                x = 41

Alternative Hypothesis        Hₐ                x > 41

The test is a one-tail test

If significance level is  0.01 and n = 8  we need to use t-student distribution

From t-table  α = 0.01  and degree of freedom  df = n - 1  df = 8 - 1

df = 7    t(c) = 2.998

To calculate t(s)  =  (  x  -  41 ) / s/√n

t(s)  =  (  41.35  -  41 ) / 0.698/√8

t(s)  = 0.35 * 2.83/ 0.698

t(s) = 1.419

Comparing   t(s)  and t(c)

t(s) < t(c)

t(s) is in the acceptance region we accept H₀

7 0
3 years ago
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