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Oliga [24]
3 years ago
6

A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability

of guessing the correct combination if:
Mathematics
2 answers:
Schach [20]3 years ago
5 0
My best guess is a 1/225 chance in guess the right combination

NemiM [27]3 years ago
5 0
You would have a 5/9 chance
You might be interested in
The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000
shepuryov [24]

Answer:

Confidence interval is 0.2911

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

32\%\times 1000

= \dfrac{32}{100}\times 1000

=320

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}

Substituting the value,

\widehat{p}=\dfrac{320}{1000}

\widehat{p}=0.320

Formula for confidence interval is,  

CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}

To calculate the z value.

Confidence Level=1-\alpha

0.95=1-\alpha

0.05=\alpha

Now divide above value by 2,  

\dfrac{0.05}{2}=\dfrac{\alpha}{2}

0.025=\dfrac{\alpha}{2}

To find the value of z score calculate the area under the curve as follows

A=\dfrac{1+CL}{2}

A=\dfrac{1+0.95}{2}

A=\dfrac{1.95}{2}

A=0.975

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,  

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,  

CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}

CI=0.320\pm 0.02891

Lower end of the interval is,

CI=0.320- 0.02891

CI=0.2911

Upper end of the interval is,

CI=0.320+ 0.02891

CI=0.3489

Therefore 95% confidence interval is 0.2911

7 0
2 years ago
Answer for 35 points but work out problems please
OlgaM077 [116]

IDK!!!!! EXPLAIN AND SPECIFY!!!!

8 0
3 years ago
Simplify the following expression.<br> 4/72
ryzh [129]

Answer:

1/18

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, 4/4=1 and 72/4=18.

Hence, 4/72=1/18

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

8 0
3 years ago
Read 2 more answers
Find the equation of the ellipse with the following properties:
steposvetlana [31]

Answer: The equation of an ellipse:

(

x

−

h

)

2

a

2

+

(

y

−

k

)

2

b

2

=

1

;

a

>

b

Has vertices at

(

h

±

a

,

k

)

Has foci at

(

h

±

√

a

2

−

b

2

,

k

)

Use the vertices to write 3 equations:

k

=

4

[1]

h

−

a

=

−

6

[2]

h

+

a

=

10

[3]

Use equations [2] and [3] to solve for h and a:

2

h

=

4

h

=

2

a

=

8

Use the focus to write another equation:

8

=

h

+

√

a

2

−

b

2

Substitute values for h and a:

8

=

2

+

√

8

2

−

b

2

6

=

√

64

−

b

2

36

=

64

−

b

2

b

2

=

64

−

36

b

2

=

28

b

=

√

28

Substitute the values into the standard form:

(

x

−

2

)

2

8

2

+

(

y

−

4

)

2

(

√

28

)

2

=

1

5 0
3 years ago
I need help with this question
san4es73 [151]

Hello!

A rhombus is any quadrilateral that has congruent side lengths. A square has all four sides the same length, so a square can be considered a rhombus.

I hope this helps!

6 0
3 years ago
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