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alexgriva [62]
2 years ago
12

A standard deck of cards has 52 cards. The cards have one of two colors: 26 cards in the deck are red and 26 are black. The card

s have one of four denominations: 13 cards are hearts (red), 13 cards are diamonds (red), 13 cards are clubs (black), and 13 cards are spades (black). Two cards are selected at random. Event C is defined as the event that the first card is clubs, event R as the event that the first card is red, and event B as the event that the second card is black. Which events are disjoint?
Mathematics
1 answer:
ehidna [41]2 years ago
5 0

Answer:

S={(heart), (diamond), (club), (spade)}

Step-by-step explanation:

In probability, a set is a well-defined collection of objects, product of an independent successful operation.

A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:

S={(heart), (diamond), (club), (spade)}

Credit to this answer goes to @ibranoguera

Hope this helps :))

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Un globo busca aterrizar en medio de dos ciudades A y B, cuya distancia entre si es de 200 km. Si se mide el ángulo de elevación
scoundrel [369]

Answer:

h \approx 59.898\,km

Step-by-step explanation:

El diagrama trigonométrico que representa el enunciado es incluido abajo como adjunto. Las siguientes relaciones trigonométricas describen la localización del globo. (The trigonometric diagram representing the statement is included below as attachment. The following trigonometric relations describes the location of the balloon):

\tan 27^{\circ} = \frac{h}{x}

\tan 36^{\circ} = \frac{h}{200-x}

A continuación, se obtiene la distancia horizontal: (The horizontal distance is obtained hereafter):

x \cdot \tan 27^{\circ} = (200-x)\cdot \tan 36^{\circ}

x \cdot (\tan 27^{\circ} + \tan 36^{\circ})= 200\cdot \tan 36^{\circ}

x = \frac{200\cdot \tan 36^{\circ}}{\tan 27^{\circ}+ \tan 36^{\circ}}

x \approx 117.557\,km

La altura aproximada del globo es (The approximated height of the globe is):

h = x\cdot \tan 27^{\circ}

h \approx 59.898\,km

7 0
2 years ago
Simplify: left parenthesis minus 2 x to the power of 4 y to the power of 3 right parenthesis to the power of 2 left parenthesis
Ulleksa [173]
The answer to your question is
5 0
2 years ago
A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio
AVprozaik [17]

Answer:

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .

<h2>p=0.76</h2>
3 0
2 years ago
Which inequality represent all values of x for which the quotient below is defined??
Liono4ka [1.6K]

Answer:

the answer is b. because x is either grater or equal.

6 0
2 years ago
Read 2 more answers
Match the following items.
Margarita [4]

Answer:

1. m\angle ECB=50\\2. m\textrm{ arc BC}=100\\3. m\textrm{ arc CD}=80\\4. m\angle DCF=40

Step-by-step explanation:

Given:

\angle DBC=40°

From the triangle, using the theorem that center angle by an arc is twice the angle it subtend at the circumference.

m\textrm{ arc CD}=2\times \angle DBC\\m\textrm{ arc CD}=2\times 40=80

Also, the diameter of the circle is BD. As per the theorem that says that angle subtended by the diameter at the circumference is always 90°,

m\angle BCD=90

From the Δ BCD, which is a right angled triangle,

m\angle DBC+m\angle BDC=90\textrm{ (right angled triangle)}\\40+m\angle BDC=90\\m\angle BDC=90-40=50

Now, using the theorem that angle between the tangent and a chord is equal to the angle subtended by the same chord at the circumference.

Here, chords CD and BC subtend angles 40 and 50 at the circumference as shown in the diagram by angles m\angle DBC\textrm{ and }m\angle BDC and EF is a tangent to the circle at point C.

Therefore, m\angle DCF=m\angle DBC=40\\m\angle ECB=m\angle BDC=50

Again, using the same theorem as above,

m\angle DCF=50\\\therefore m\textrm{ arc BC}=2\times m\angle DCF=2\times 50=100

Hence, all the angles are as follows:

1. m\angle ECB=50\\2. m\textrm{ arc BC}=100\\3. m\textrm{ arc CD}=80\\4. m\angle DCF=40

6 0
2 years ago
Read 2 more answers
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