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densk [106]
3 years ago
15

Certain three​-cylinder combination lock has 70 numbers on it. to open​ it, you turn to a number on the first​ cylinder, then to

a second number on the second​ cylinder, and then to a third number on the third cylinder and so on until a three​-number lock combination has been affected. repetitions are​ allowed, and any of the 70 numbers can be used at each step to form the combination.​ (a) how many different lock combinations are​ there
Mathematics
1 answer:
lord [1]3 years ago
8 0
The lock has 3 different cylinders that can take up to 70 possible numbers. The possible combination of each cylinder would be 70!
The order of cylinder would be important because the password on 1st cylinder can't be used on cylinder 2. The calculation would be:

possible lock combination= 1st cylinder possible combination* 2nd cylinder possible combination * 3rd cylinder possible combination
possible lock combination= 70!*70!*70!
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The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988,
Alex17521 [72]

In time period of 1980-1988 the rate of ticket price is $0.2 per year
Between time period 1989-1993 there is constant rate.
Between year 1994-2011 the increase in rate is same $0.2 per year

The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011.

<h3>What is Statistic?</h3>

The statistic is the study of mathematics which deal with relations between comprehensive data.

The graph is not available, in the question, so the graph could be as attached
For period 1980-1988
rate of change = 4.2-2.8/ 8 = 0.2
In time period of 1980-1988 the rate of ticket price is $0.2 per year

for period 1989-92 there is a straight line so,
Between time period 1989-1993 there at constant rate.

For period, 1994-2011

rate of change = 4.4-8/17 = 0.2
Between year 1994-2011 the increase in rate is same $0.2 per year

Thus, for the 3 Time period we have rate of change in ticket price is $0.2 per year, no change in ticket price, $0.2 per year respectively.

Learn more about Statistics here:
brainly.com/question/23091366

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2 years ago
Which choices are solutions to the following equation?<br> Check all that apply.<br> x^2 - 3x = -5/4
Ulleksa [173]

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The answer to this question is C.

7 0
3 years ago
in the life of a car engine, calculatedin miles, is normally distributed, with a mean of 17,000 miels and a standard deviation o
Alinara [238K]

Answer:

the guarantee period should be less than 136010 miles

Step-by-step explanation:

From the given information;

Let consider Y to be the life of a car engine

with a mean μ = 170000

and a standard deviation σ = 16500

The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.

i.e

P(Y < T ) < 0.02

For the variable of z ; we have:

z = \dfrac{x - \mu }{\sigma}

z = \dfrac{x - 170000 }{16500}

Now;

P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})

P( Z < \dfrac{T- 170000}{16500})< 0.02

From Z table ;

At P(Z < -2.06) ≅ 0.0197  which is close to 0.02

\dfrac{T- 170000}{16500}

{T- 170000}

{T- 170000}< - 33990

{T}< - 33990+ 170000

{T}

Thus; the guarantee period should be less than 136010 miles

4 0
4 years ago
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