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8090 [49]
3 years ago
8

Jim walked 1/2 of a mile in 1/4 of an hour. at this rate how long will it take him to walk one mile

Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

1/4=25 minutes an hour

25×2=50

it will take him 50 minutes

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HELP QUICK ILL GIVE BRAINLIEST!!!!
gulaghasi [49]

Answer:

Step-by-step explanation:

a) circumference = diameter*pi

so, pi in circle A =25.12/8=3.14

pi in circle B = 9.42/3 =3.14

b) area of the circle =(diameter/2)^2*pi

so pi in circle A = 50.24/(8/2)^2=3.14

pi in circle B = 3.14

C) both the value of circle A and B are equivalent

4 0
3 years ago
Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

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3 years ago
The cost of admission to a history museum is $3.25 per person over the age of 3 kids 3 and under
telo118 [61]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Sketch a quadrilateral with no right angles and sides all the same length. What type of quadrilateral have you sketched? Include
Allushta [10]

Answer:

Rhombus

Step-by-step explanation:

A rhombus is a quadrilateral as it has four sides (ABCD).

It has no right angles (as seen in the picture)

All the sides are the same length.

8 0
3 years ago
The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integ
Nutka1998 [239]

Answer:

  • equation: (x-3) +(x-1) +(x+1) +(x+3) = -72
  • values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

  (x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

  4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

  x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

  • -18-3 = -21
  • -18-1 = -19
  • -18+1 = -17
  • -18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

  (x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

  4x +12 = -72 . . . . . collect terms

  4x = -84 . . . . . . . . subtract 12

  x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

3 0
4 years ago
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