You pay $3.00 to play. The dealer deals you one card. If it is a spade, you get $10. If it is anything else, you lose your money. Is this game fair?

Answers

Answer 1

Answer:

no because you're more than likely going to lose your money

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Ralph and Melissa watch lots of videos. But they have noticed that they don't agree very often. In fact, Ralph only likes about 10% of the movies that Melissa likes, i.e., P(Ralph likes a movie|Melissa likes the movie) = .10 They both like about 37% of the movies that they watch. (That is, Ralph likes 37% of the movies he watches, and Melissa likes 37% of the movies she watches.) If they randomly select a movie from a video store, what is the probability that they both will like it? prob. =

Answers

Answer:

There is a 3.7% probability that they both will like it.

Step-by-step explanation:

We can solve this problem using the Bayes rule derivation from conditional probability.

Bayes rule:

What is the probability of B, given that A?

$P(A/B) = (P(A \cap B))/(P(A))$

In this problem, we have that:

$P(A/B)$ is the probability that Ralph likes the movie, given that Melissa likes. The problem states that this is 10%. So $P(A/B) = 0.1$

$P(A)$ is the probability that Melissa likes the movie. The problem states that $P(A) = 0.37$ .

If they randomly select a movie from a video store, what is the probability that they both will like it?

This is $P(A \cap B)$ .

$P(A/B) = (P(A \cap B))/(P(A))$

$P(A \cap B) = P(A)*P(A/B)$

$P(A \cap B) = 0.37*0.10 = 0.037$

There is a 3.7% probability that they both will like it.

What the answer to this math problom

Answers

Step-by-step explanation:

S=b*h/2=8*10/2=40m2

40*4=160m²

Answer:

60 m2

Step-by-step

i did that before hope this helps :)

Which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)

Answers

Based on the available information, the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

How the equivalent expression is determined?

To simplify the expression (3m² + 2mn - n²) + (m² + 4mn - n²), we can combine like terms.

Like terms have the same variables and the same exponents.

Let's group the like terms together:

(3m² + m²) + (2mn + 4mn) + (-n²- n²)

Combining like terms within each group, we get:

4m² + 6mn - 2n²

Therefore, in this case, it is concluded that the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

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Answer:

4m² + 6mn - 2n²

Step-by-step explanation:

$(3m^2+2mn-n^2)+(m^2+4mn-n^2)\n\n=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\n\n=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\n\n=\boxed{4m^2+6mn-2n^2}$

Is the blue figure a rotation of the red figure about the orgin?

Answers

Answer:

yes; 180° CW or CCW

Step-by-step explanation:

Each of the figures is a reflection of the other across the origin. Such a reflection is equivalent to rotation 180° about the origin. 180° CW is the same as 180° CCW, so the direction could be either one.

Comparing the images, the correct option is option d

Yes, 180 degrees clockwise or counterclockwise about the origin

What is 180 deg clockwise rotation

A 180-degree clockwise rotation means that a point, shape, or object is rotated 180 degrees in the clockwise direction around a central point. In the Cartesian coordinate system:

For a point (x, y), a 180-degree clockwise rotation swaps the x and y coordinates and negates both. So, the new coordinates would be (-x, -y).

The resultant image is the same the difference is the way it rotates hence we choose option d

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It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936

Answers

There is a 0.95 probability that the sample mean will provide a margin of error of 7.84.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

The variance of a population = 1,936

And, A random sample of 121 has been taken from the population.

Now,

Since, Standard deviation = √ Variance

= √1,936

= 44

Hence, The standard error = 44 / √121

= 44 /11

= 4

We know that;

The critical z factor for a confident interval of 0.95 = ± 1.96

Thus, The sample mean will provide a margin of error = 4 × 1.96

= 7.84

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Answer:

It is known that the variance of a popualtion equals 1,936.

Step-by-step explanation:

That should be correct!!!

What is the prime factorization of 315?

Answers

Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. They are integers and prime numbers of 315, they are also called composite number.

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