answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murljashka [212]
2 years ago
10

A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability that the

lock code consists of all even digits? To find the total number of outcomes for this event, find the permutation of things taken 4 at a time. The total number of outcomes is . The total number of favorable outcomes is a permutation of things taken 4 at a time. The probability that the lock code consists of all even digits is out of 3,024.
Mathematics
1 answer:
uysha [10]2 years ago
3 0

Answer:

The probability is found:

P = 24/3024 = 1/126

Step-by-step explanation:

To find total number of outcomes, we have to find permutation of 9 things taken 4 at a time:

P(9,4) = 9! / (9-3)!

P(9,4) =362880/120

P(9,4) = 3024

Number of even numbers from 0 to 9 = 4

To find desirable number of outcome, find permutation of 4 things taken 4 at a time.

P(4,4) = 4! / (4-4)!

P(4,4) = 24/1

P(4,4) = 24

The probability that the lock consists of all even digits is

P = No. of desirable outcomes / No. of total outcomes

P = 24/3024

You might be interested in
What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote:
Mkey [24]

Answer:

Step-by-step explanation:

The domain of a function is the set for which the function is defined. Our function is the function h(x) = 6x-4. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.

The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.

Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.

4 0
1 year ago
Read 2 more answers
A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50,
RSB [31]
You ended without giving the values, so we can't get the exact answer. However, I can tell you steps.

First, you need to find the z-score. Then, look up the z-score on a normal distribution table and you will get the percent.

Let's call your value X. Just plug X into the equation below and you will have your z-score.

(x - 20.5) / 3.5 = z

Now, look up the z-score and you will have your probability.<span />
8 0
1 year ago
Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. He spots a fluffy white cloud
Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

m\angle CAE = 30^{\circ}

m\angle EAD = 60^{\circ}

Since,

\tan =\frac{\text{Perpendicular}}{\text{Base}}

\implies \tan 60^{\circ}=\frac{DE}{AE}

\sqrt{3}=\frac{40}{AE}

\implies AE = \frac{40}{\sqrt{3}}

Now,

\tan 30^{\circ}=\frac{CE}{AE}

\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}

\implies CE = \frac{40}{3}

Hence,

The height of the cloud above the lake = CE + ED

=\frac{40}{3}+40=13.33+40 = 53.33\text{ meters}

3 0
2 years ago
Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona
alukav5142 [94]

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

6 0
1 year ago
Read 2 more answers
Find a rational number halfway between 7/8 and 6/7
algol [13]
<h3>Answer: 97/112</h3>

================================================

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

8 0
2 years ago
Other questions:
  • Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr
    6·2 answers
  • A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
    12·1 answer
  • Please help!!!!!!!!!
    15·1 answer
  • Which statement is true about a line and a point? (1 point)
    5·1 answer
  • 120÷(18-(20-3(9-5)simplify​
    11·1 answer
  • Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2
    9·2 answers
  • If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe
    6·1 answer
  • The segments shown below could form a triangle.
    6·1 answer
  • A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes throug
    13·2 answers
  • Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!