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Maksim231197 [3]
3 years ago
10

You roll a 6-sided die two times. What is the probability of rolling a 4 and then rolling a 2? (Write your answer as a fraction

or whole number.)
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

1/36

Step-by-step explanation:

On the first throw, the probability of rolling any particular number, 1 through 6, is 1 out of 6. So the chance of rolling a 4 is 1/6.

On the second roll, your probability of rolling a 2 is 1/6.

The 'trick' is knwoing what to do with those two numbers.

Here's the rule: If events are dependent on one another, you multiply the probabilities.

Any time you see a scenario where X has to happen <u>and then </u>some other thing (X, Y, or whatever) has to happen, the events are dependent.

Probability of rolling a 4 <u>and then</u> rolling a 2 = 1/6 * 1/6 = 1/36

Hope this helps.

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Question 2 4 The Triangle Sum Theorem is used to determine if the angles from two triangles are similar? True Or False ​
saveliy_v [14]

Answer:

Fasle it is used to deturme a missing angle's deggres.

4 0
4 years ago
At the beginning of an experiment, a scientist has 300 grams of radioactive goo. After 150 minutes, her sample has decayed to 37
monitta

Answer:

Half-life of the goo is 49.5 minutes

G(t)= 300e^{-0.014t}

191.7 grams of goo will remain after 32 minutes

Step-by-step explanation:

Let M_0\,,\,M_f denotes initial and final mass.

M_0=300\,\,grams\,,\,M_f=37.5\,\,grams

According to exponential decay,

\ln \left ( \frac{M_f}{M_0} \right )=-kt

Here, t denotes time and k denotes decay constant.

\ln \left ( \frac{M_f}{M_0} \right )=-kt\\\ln \left ( \frac{37.5}{300} \right )=-k(150)\\-2.079=-k(150)\\k=\frac{2.079}{150}=0.014

So, half-life of the goo in minutes is calculated as follows:

\ln \left ( \frac{50}{100} \right )=-kt\\\ln \left ( \frac{50}{100} \right )=-(0.014)t\\t=\frac{-0.693}{-0.014}=49.5\,\,minutes

Half-life of the goo is 49.5 minutes

\ln \left ( \frac{M_f}{M_0} \right )=-kt\Rightarrow M_f=M_0e^{-kt}

So,

G(t)= M_f=M_0e^{-kt}

Put M_0=300\,\,grams\,,\,k=0.014

G(t)= 300e^{-0.014t}

Put t = 32 minutes

G(32)= 300e^{-0.014(32)}=300e^{-0.448}=191.7\,\,grams

7 0
3 years ago
50+ Points for Best 5 Answers!
Rasek [7]
1.50cm^2 2.idk 3. 200
8 0
4 years ago
A small source radiates an electromagnetic wave with a single frequency into vacuum, equally in all directions. As the wave move
vlabodo [156]

Answer:

a) Frequency remains constant

b) Wavelength remains constant

c) speed of the wave remains constant

d) Intensity decreases

e)  amplitude of its electric field decreases

Explanation:

a)  Frequency can be defined as the number of crests that pass a fixed point in the medium in unit time. It is the source of the wave that will determine the frequency. If the small source is changed to a bigger and faster one then the frequency will change. In our case, there is no change of source of wave, so the frequency remains constant.

b) The speed of of the wave is directly proportional to the wavelength. If we double the speed, the wavelength also doubles. Since the speed has not been doubled in our case, the wavelength will remain constant.

c) As indicated in b) since the wavelength is proportional to speed and it has not changed in our case, then the speed remains constant.

d) The intensity of a wave decreases as it moves further away from the source.

e) The intensity is related to the amplitude. Since the intensity decreases, the amplitude also decreases.

5 0
4 years ago
What does X equal?<br><br> 15= x/6 - 1
Drupady [299]
X=96

first add the one to the 15 then multiply it by 6 and you get 96

8 0
4 years ago
Read 2 more answers
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