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aksik [14]
2 years ago
9

The minute hand on an analog clock is 8 inches long. how far does the tip of the minute hand travel in 16 minutes

Mathematics
1 answer:
Dahasolnce [82]2 years ago
5 0
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means 
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°

the length of a circumference=2*pi*r
for r=8 in

the length of a circumference=2*pi*8-----> 50.24 in

if 360° (full circle) has a length of----------------> 50.24 in
  96°---------------------------> x
x=96*50.24/360------> x=13.40 in

the answer is
13.40 in

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In a recently administered iq test, the scores were distributed normally, with mean 100 and standard deviation 15. what proporti
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To solve for proportion we make use of the z statistic. The procedure is to solve for the value of the z score and then locate for the proportion using the standard distribution tables. The formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

 

when X = 70

z1 = (70 – 100) / 15 = -2

Using the standard distribution tables, proportion is P1 = 0.0228

 

when X = 130

z2 = (130 – 100) /15 = 2

Using the standard distribution tables, proportion is P2 = 0.9772

 

Therefore the proportion between X of 70 and 130 is:

P (70<X<130) = P2 – P1

P (70<X<130) = 0.9772 - 0.0228

P (70<X<130) = 0.9544

 

Therefore 0.9544 or 95.44% of the test takers scored between 70 and 130.

6 0
3 years ago
sharia has a full time job and earns 475$ each week but she starts looking for ways to increase her weekly earnings . sharia fin
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Answer:

12 hours

Step-by-step explanation:

Full time job:

Earning per week = $475

Part time job :

Earning per hour = $11

Number of working hours per week at per time job to increase weekly earning to atleast $600 ;

Let number of hours = h

Full time earning + earning per hour * (number of hours) ≥ 600

$475 + ($11 * h) ≥ 600

$475 + $11h ≥ 600

11h ≥ 600 - 475

11h ≥ 125

h ≥ 125 / 11

h ≥ 11.36

Hence, sharia will need to work for 12 hours per week

5 0
3 years ago
If Julie needs 3 1/4
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Is there more to the question?

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3 years ago
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At a basketball game, a team made 52 successful shots. They were a combination of 1- and 2-point
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Answer:

17 for 1 point shots and 35 for two point shots.

Step-by-step explanation:

let the number of 1 point shots be x

let the number of 2 point shots be y

 

x + y = 52          (1)

x + 2y = 87        (2)

 

subtracting (1) from (2)

 

y = 35

 

from (1) x = 52 - y = 52 - 35 = 17

 

Hence number of 1 pointers = 17

 

number of 2 point shots = 35

 

checking; 17 + 35 =52 ; and 17+ 2*35 = 87

7 0
3 years ago
30 POINTS!!! In a genetic experiment, a cross-fertilization of three-leafed soybeans and four-leafed soybeans produces soybeans
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Answer:

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