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
jekas [21]
3 years ago
13

18. A I-10 number cube is rolled. What is the conditional probability that the number rolled is less than 6, given that the numb

er rolled is an even number?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

30% Probability

Step-by-step explanation: 3/10=0.3

You might be interested in
Suppose a geyser has a mean time between eruptions of 72 minutes. Let the interval of time between the eruptions be normally dis
nikitadnepr [17]

Answer:

(a) The probability that a randomly selected time interval between eruptions is longer than 82 ​minutes is 0.3336.

(b) The probability that a random sample of 13-time intervals between eruptions has a mean longer than 82 ​minutes is 0.0582.

(c) The probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 ​minutes is 0.0055.

(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.

(e) The population mean must be more than 72​, since the probability is so low.

Step-by-step explanation:

We are given that a geyser has a mean time between eruptions of 72 minutes.

Also, the interval of time between the eruptions be normally distributed with a standard deviation of 23 minutes.

(a) Let X = <u><em>the interval of time between the eruptions</em></u>

So, X ~ N(\mu=72, \sigma^{2} =23^{2})

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

Now, the probability that a randomly selected time interval between eruptions is longer than 82 ​minutes is given by = P(X > 82 min)

       P(X > 82 min) = P( \frac{X-\mu}{\sigma} > \frac{82-72}{23} ) = P(Z > 0.43) = 1 - P(Z \leq 0.43)

                                                           = 1 - 0.6664 = <u>0.3336</u>

The above probability is calculated by looking at the value of x = 0.43 in the z table which has an area of 0.6664.

(b) Let \bar X = <u><em>sample mean time between the eruptions</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

           n = sample of time intervals = 13

Now, the probability that a random sample of 13 time intervals between eruptions has a mean longer than 82 ​minutes is given by = P(\bar X > 82 min)

       P(\bar X > 82 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{82-72}{\frac{23}{\sqrt{13} } } ) = P(Z > 1.57) = 1 - P(Z \leq 1.57)

                                                           = 1 - 0.9418 = <u>0.0582</u>

The above probability is calculated by looking at the value of x = 1.57 in the z table which has an area of 0.9418.

(c) Let \bar X = <u><em>sample mean time between the eruptions</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

           n = sample of time intervals = 34

Now, the probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 ​minutes is given by = P(\bar X > 82 min)

       P(\bar X > 82 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{82-72}{\frac{23}{\sqrt{34} } } ) = P(Z > 2.54) = 1 - P(Z \leq 2.54)

                                                           = 1 - 0.9945 = <u>0.0055</u>

The above probability is calculated by looking at the value of x = 2.54 in the z table which has an area of 0.9945.

(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.

(e) If a random sample of 34-time intervals between eruptions has a mean longer than 82 ​minutes, then we conclude that the population mean must be more than 72​, since the probability is so low.

6 0
3 years ago
20 Points, Brainliest, 5 stars, and &lt;3 if you answer correctly:
trasher [3.6K]

Answer:

3 hours: 38,250

1 day: 122,440

I’m not sure if this is exactly right, my brain gave out half way. Someone check my answer pls

Step-by-step explanation:

3 hours:   3 x 60= 900

                 900 divided by 20= 450

                    450 x 85 = 38,250

1 day:       24 x 60 = 1440

                 1440 x 85 = 122,440

4 0
3 years ago
Read 2 more answers
What is the solution to the system of two equations shown?
Nadya [2.5K]

The solution of the given system of equation is x = -3 and y = 4 respectively.      

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16                   (1)

y = −2x − 2                  (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

=> 6x = -18

=> x  = -3

Then, y = -2 × -3 - 2 = 4

Hence, the solution of the given system of equation is x = -3 and y = 4.  

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ1    

6 0
8 months ago
Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de
Umnica [9.8K]

Answer:

i tink its a

Step-by-step explanation:

8 0
2 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
o-na [289]
This is just cylinder surface area, right? Equation for that would be 2πrh+2πr^2. If we input the data given from the image, it’d be (2 x π x 3.5 x 4)+(2 x π x 3.5 x 3.5). (4 is the height, and I found the radius by dividing the diameter, 7, in half, which is 3.5.) if u plug that into a calculator, u get 164.93.
8 0
2 years ago
Other questions:
  • Sample mean (M) = 50 Population mean (µ) = µM = 47 Sample standard deviation (s) = 4 Sample size (N) = 25 Based on this informat
    12·1 answer
  • Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1?
    6·1 answer
  • There are values of t so that sin t=.3 and cos t=-.6 <br><br> True or false
    10·2 answers
  • There is a shipping cube that has a volume of 216 cubic feet. You will need to know the height of in order to make sure it can f
    15·2 answers
  • Please solve for y y(a-b)=c(y+a)
    12·1 answer
  • You flip three coins and want to explore the probabilities of certain events
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B25%7D" id="TexFormula1" title="\sqrt{25}" alt="\sqrt{25}" align="absmiddle" class="l
    9·2 answers
  • The quotient of a and six less than a is identical to four more than the product of a and b.
    14·1 answer
  • PLEASEE HELPP with this problem!!!<br> can you find x and y???
    13·1 answer
  • Sample response: there is a common ratio of 2/3 between the height of the ball at each bounce. so, the bounce heights form a geo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!