1answer.
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
Katarina [22]
3 years ago
8

Brian's school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without r

epeating a number. The probability that the locker code begins with a prime number is %. The probability that the last digit of the locker code is an odd number is
Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

Probability of a prime number = 2/5.

Probability of last number being odd = 3/5.

Step-by-step explanation:

There are 2 prime numbers (5 and 7) in the 5 numbers ( 5, 6, 7, 8, 9).

So Prob(Prime number being first) = 2/5.

There are 3 odd numbers and 2 even so:

Possible combinations of Odd (O) and Even (E) numbers with last number being Odd are:

OOO,  EEO, OEO or EOO.

Prob (OOO) = 3/5 * 1/2 * 1/3 =  3/30 = 1/10.

Prob(EEO) =  2/5 * 1/4 = 1/10.

Prob(OEO) = 3/5 * 1/2* 2/3 = 6/30 = 1/5.

Prob(EOO) = 2/5 * 3/4 * 2/3 = 12/60 = 1/5.

Therefore the probability of the last number being odd =

1/10 + 1/10 + 1/5 + 1/5

= 3/5  (answer).

You might be interested in
1. To the nearest whole degree, what angle measure has a sine of 0.6123?
o-na [289]
<span>This question requests to find the inverse function of sine function. The inverse function of sine function is called arc sine. This is, the arc length whose sine is the value searched. Then you need to find the arc sin (0.6123). the result may be in radians or degrees. Only in some particular cases you can tell the arc sine without a calculator or table, it is when the sine value is a notable number (e.g. 0, 1, -1, or some others) In this case you need to use a calculator or table. With a scientific calculator make sure the mode is in degrees and then enter the number 0.6123. With that numbered entered now press the key sin^-1, which is the key for the inverse of the sine function. I did it and got 37.76 degrees. Rounded to the nearest whole degree that is 38. Then, the answer is 38 degrees. </span>
4 0
4 years ago
(3,2) and (4,9) = y=7x-19 or y=7x+21
Mumz [18]

When solving for this problem, replace x with the first coordinate and solve. if the answer is what you have for the second, it is correct. The first number in an ordered pair is your x and the second is your y. So I would rewrite the equation like this and solve.

          y=7x-19                                            y=7x+21

2=7(3)-19         9=7(4)-19                2=7(3)+21       9=7(4)+21    

2=21-19            9=28-19                 2=21+21          9=28+21

2=2                   9=9                       2=42               9=49

as you can see it is the first equation.

3 0
3 years ago
122333444455555666666777777788888888<br> what is the patern
Lelechka [254]

Answer:

each number it being counted that number of times

hope this helps

have a good day :)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Someone help ASAP!!!!!!
Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒       Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $ \frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)} $

$ = \frac{-7 \pm \sqrt{49 + 8(99)}}{4} $

$ = \frac{-7 \pm + \sqrt{841}}{4} $

Since, $ \sqrt{841} = 29 $ we get:

$ w = \frac{-7 \pm 29}{4} $

This gives two values of 'w', viz., w = $ \frac{-7 - 29}{4} $, $ \frac{-7 + 29}{4} $

$ \implies w = \frac{22}{4}, \frac{-36}{4} $

⇒ w = $ \frac{22}{4} $, -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0
3 years ago
Someone help me asap
Step2247 [10]

Answer:

A

Step-by-step explanation:

There are 270 minutes in 4.5 hrs.

divide that by 45, you get 6.

50*3^6 is 36,450

7 0
3 years ago
Other questions:
  • Write an equation in the form y = mx + b for the line that has a slope of ¼ and contains the point (12, 3).
    15·1 answer
  • Given f(x) = 3x - 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?<br> i e<br> ls
    5·1 answer
  • In need help step by step
    5·1 answer
  • If the probability of an event is 5/9, what is the probability of its complementary event
    12·1 answer
  • The formula for the surface area of a sphere is a 4πr2where r is the length of the radius. find the surface area of a sphere wit
    7·1 answer
  • Identify which equations have one solution, infinitely many solutions, or no solution.
    10·1 answer
  • Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
    7·1 answer
  • Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school. What is the mean
    8·1 answer
  • What is m∠1?...............
    8·2 answers
  • Wich is greater. 2 5/6 hours or 2.8 hours​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!