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r-ruslan [8.4K]
3 years ago
5

Outside a​ home, there is aa 44​-key keypad numbered 11 through 44. The correct sevenseven​-digit code will open the garage door

. The numbers can be repeated in the code. ​(a) How many codes are​ possible? ​(b) What is the probability of entering the correct code on the first​ try, assuming that the owner​ doesn't remember the​ code? ​(a) The number of possible codes is nothing. ​(Type an integer or fraction. Simplify your​ answer.)
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

a) The number of possible codes is 16384

b) The probability of entering the code on the firs ttry is 1/16384

Step-by-step explanation:

a) For each of the four digits we have 7 possibilities and the number of one digit doesnt make restrictions on the others, thus, we have to power 4 a total of 7 times. The number of codes available is 4⁷ = 16384

b) There is only 1 code favourable over a total of 16384, as a consequence, the probability of enter the code correctly is 1/16384

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Will mixes 1/4 gallon of milk and 1/2 gallon of chocolate syrup to make chocolate milk. Each serving is 1/16 gallon. How many se
Dennis_Churaev [7]

Answer:

12 servings!

Step-by-step explanation:

1/4 equals 0.25 gallons, 1/2 gallons is 0.5, so Will will have a mix of 0.75 gallons. If each serving is 1/16 and 1/16 equals 0.0625, divide 0.75 by 0.0625 = 12 servings.

6 0
3 years ago
Please help <br> i’ll mark brainlyest
snow_tiger [21]

Answer:

x=7

Step-by-step explanation:

6 0
3 years ago
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I need to know what was the number of sharpened pencils at 7:07 am?
Vanyuwa [196]

You wrote the equation wrong- he starts with 9 pencils so that's a constant and he sharpens 11 pencils for every minute. The equation would be 9+11x with x being the amount of minutes, which in this case is 7. So you just substitute and solve.

9+11x

9+11(7)

9+77

86


Hope this helps!

7 0
4 years ago
There are 10 red and 20 yellow balls. Drawing 3 balls without replacement, what is the chance the first is red and the next two
Xelga [282]

10 + 20 = 30 total balls.

Picking red = 10/30 = 1/3

After picking one ball there are 29 balls left.

Picking a yellow next is 20/29

Then there are 28 balls left and 19 yellow left, so picking another yellow would be 19/28

The probability of picking red first then two yellow = 1/3 x 20/29 x 19/28 = 95/609

6 0
3 years ago
given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta
andre [41]

The value of \sin(2\theta) is -\frac {-4\sqrt 3 }9

<h3>Sine ratio </h3>

The sine ratio is given as:

\sin(\theta) = \frac23

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

\sin^2(\theta) + \cos^2(\theta) = 1

Substitute \sin(\theta) = \frac23 in the above equation

\frac 23 + \cos^2(\theta) = 1

Collect like terms

\cos^2(\theta) = 1 -\frac 23

Evaluate

\cos^2(\theta) =\frac 13

Take square roots

\cos(\theta) =\pm\frac 1{\sqrt 3 }

Rationalize

\cos(\theta) =\pm\frac {\sqrt 3 }3

From the question, \theta is in the second quadrant, and cosine is negative.

So, we have:

\cos(\theta) =-\frac {\sqrt 3 }3

In trigonometry, we have:

\sin(2\theta) = 2\sin(\theta)\cos(\theta)

So, we have:

\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3

\sin(2\theta) =  -\frac {-4\sqrt 3 }9

Hence, the value of \sin(2\theta) is -\frac {-4\sqrt 3 }9

Read more about trigonometry ratios at:

brainly.com/question/10417664

7 0
2 years ago
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