All categories

2 years ago

You are rolling two dice at the same time. What is the probability of rolling a sum of 5 or 9?

2 answers:

8 0

You can get a 5 by rolling :
1 and 4
2 and 3
3 and 2
4 and 1

You can get a 9 by rolling :
3 and 6
4 and 5
5 and 4
6 and 3

There are 36 possible outcomes, hence your probability is $\frac{4\cdot2}{36}=\boxed{\frac29}$

oksian1 [2.3K]2 years ago

8 0

Answer:

Step-by-step explanation:

To find the probability we use the mutually exclusive probability formula P(A) + P(B). The probability of getting a sum of 5 is

1 /9

and the probability of getting a sum of 9 is

1 /9

. The sum is

2 /9

You might be interested in

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

5 0

3 years ago

Solve for x. x+23=−22 someone help

BaLLatris [955]

Answer:

x = - 45

Step-by-step explanation:

x+23(-23)=−22 (-23)First subtract 23 from both sides

x = - 45

7 0

2 years ago

Counting how many errors are in one chapter of a book is an example of measuring what kind of quality characteristics

AnnZ [28]

Answer: Attributes.

Step-by-step explanation:

An attribute is characterized as a person, position, or thing's quality or characteristic. Individuals in real life and fictional characters have different characteristics. Someone could be called attractive, charming, funny, or intelligent, for instance. Well, in math, an attribute is a characteristic of a math object - it's what this object has. An attribute of the book is the number of errors in a chapter of the book.

8 0

3 years ago

(2)/(3) =( 4)/( 3+x) help give brainliest if correct and explanation please

Juli2301 [7.4K]

Answer:

(2)/(3) =( 4)/( 3+x)

Cross multiply

2*(3+x)= 4*3

Solve bracket

6+2x=12

Subtract 6 from both sides

2x=6

Divide both sides by 2

x=3

Hope it helps :-)

7 0

3 years ago

Read 2 more answers

A polynomial function has a zero at x=3 which of the follwing expressions must be one factor of the polynomial. A. x + 3 b. 3x C

nexus9112 [7]

I think the correct answer from the choices listed above is option D. A polynomial function has a zero value at x=3 for the expression where one factor is x-3. This factor when x=3 will always result to a zero value no matter what you multiply to it. Hope this answers the question.

5 0

3 years ago

Read 2 more answers