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3 years ago

A card is chosen at random from a deck of 52 cards. What is the probability that a king or queen is chosen?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

4 0

The answer is B) 2/13.

An easy way to figure this out is to find what the unsimplified probability would be:

Since there are 8 kings and queens in total, the number is:

8/52

But, since these are both even numbers, they can be simplified.

1/4 x 8 = 2

1/4 x 52 = 13

2/13

Since 13 is a prime number, the answer cannot be simplified anymore.

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When a single card is drawn from an ordinary 52-card deck, find the probability of getting a 2 or a red card?

kipiarov [429]

Let R be the event that a red card is drawn. There are two red suits of 13 cards each, so there are 26 ways of getting are red card. There are 52 cards altogether, so the probability of getting a red card is P(R) = 26 52 = 1 2 .
http://www.math.ttu.edu/~drager/Classes/02Spring/m1430/anse3.pdf

8 0

3 years ago

Read 2 more answers

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under

saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

Divide the coefficient by 2

$Result = 22/2$

$Result = 11$

Take the square of this result, to give k

$k= 11^2$

$k= 121$

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

$x^2 + 11x + 11x + 121$

$x(x + 11)+11(x+11)$

$(x+11)(x+11)$

$(x+11)^2$

Hence, the quadratic expression is $\[x^2 + 22x + 121\]$

8 0

3 years ago

Read 2 more answers

1) Which is the measure of ∠A?

s344n2d4d5 [400]

Answer:

Part 1) Option A) 93°

Part 2) Option B) 138°

Part 3) Option A) 42°

Part 4) Option A) 21

Part 5) Option A) 54°

Step-by-step explanation:

Part 1) Which is the measure of ∠A?

see the attached figure N 1

we know that

m∠A+87°=180° -----> by supplementary angles (form a linear pair)

m∠A=180°-87°=93°

Part 2) Which is the measure of ∠C?

see the attached figure N 2

we know that

m∠C+42°=180° -----> by supplementary angles (form a linear pair)

m∠C=180°-42°=138°

Part 3) Which is the measure of ∠B?

see the attached figure N 3

we know that

m∠B and 42° are vertical angles

Remember that the vertical angles are a pair of congruent angles

m∠B=42°

Part 4) Find the value of x

see the attached figure N 4

we know that

64° and (3x+1)° are vertical angles

Remember that the vertical angles are a pair of congruent angles

64°=(3x+1)°

Solve for x

3x=64-1

3x=63

x=21

Part 5) Find the measure for ∠MQX

see the attached figure N 5

we know that

(3a+39)° and (5a+29)° are vertical angles

Remember that the vertical angles are a pair of congruent angles

(3a+39)°=(5a+29)°

Solve for a

5a-3a=39-29

2a=10

a=5

Find the measure of ∠MQX

m∠MQX=(3a+39)°

substitute the value of a

m∠MQX=3(5)+39=54°

7 0

3 years ago

Read 2 more answers

A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the

harkovskaia [24]

Answer:

the answer is d

Step-by-step explanation:

6 0

4 years ago

To find the distance AB across a river, a surveyor laid off a distance BC=361 m on one side of the river. It is found that B=111

zhannawk [14.2K]

Answer:

91.87m

Step-by-step explanation:

We are given that

BC=361 m

Angle B= $111^{\circ}20'=111+\frac{20}{60}=111.33^{\circ}$

1 degree= 60 minute

Angle C= $12^{\circ} 15'=12+\frac{15}{60}=12.25^{\circ}$

We have to find the value of AB.

Sum of angles of triangle=180 degrees

$\angle A+\angle B+\angle C=180$

$\angle A=180-(\angle C+\angle B)=180-(111.33+12.25)=56.42^{\circ}$

By using law of sine

$\frac{AB}{sin C}=\frac{BC}{sin A}$

$AB=\frac{BCsin C}{sin A}=\frac{361 sin 12.25^{\circ}}{sin 56.42^{\circ}}$

$AB=91.87 m$

7 0

4 years ago