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
Mandarinka [93]
3 years ago
9

How many 4 card hands that contain exactly 3 aces and 1 queen can be chosen from a 52 card deck?

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
There are 16 possible hands.

Choosing 3 aces from 4 possible is expressed by:
_4C_3=\frac{4!}{3!1!} = 4

Choosing 1 queen from 4 possible is expressed by:
_4C_1=\frac{4!}{1!3!}=4

This gives us 4*4 = 16 possible hands.
You might be interested in
The actual distance between two villages is 120 km. On a map of the area, 0.5 cm represents 2 km. What is the actual distance be
otez555 [7]
If .5cm is 2km, then 1 cm is 4 km, and therefore 120/4 is 30, so 30 centimeters on the map
6 0
3 years ago
Read 2 more answers
Consider the figure below.<br><br><br><br> Find the value of x.
Flauer [41]

Answer:

x = 5

Step-by-step explanation:

When two straight lines intersect, four angles are formed.  The angles that are directly opposite of each other are equal.  Since the angles are equal set the values equal to each other and solve for x.

5x - 5 = 2x + 10

5x - 5 - 2x = 2x + 10 - 2x

3x - 5 = 10

3x - 5 + 5 = 10 + 5

3x = 15

3x/3 = 15/3

x = 5

6 0
3 years ago
Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the secant line that cuts the cur
jek_recluse [69]
First find the secant line. The slope of the secant line through (-1,1) (when x=-1) and (2,4) (when x=2) is the average rate of change of y=x^2 over the interval [-1,2]:

\text{slope}_{\text{secant}}=\dfrac{2^2-(-1)^2}{2-(-1)}=\dfrac33=1

The tangent line to y=x^2 will have a slope determined by the derivative:

y=x^2\implies y'=2x

Both the secant and tangent will have the same slope when 2x=1, or when x=\dfrac12.
4 0
2 years ago
Nine more than 3 times a number is the same as 6 less than twice the number
Ludmilka [50]

Answer:

Step-by-step explanation:

Let the number  = x

3x + 9 = 2x - 6  Looks like you are going to get something negative here.

Subtract 2x from both sides.

3x - 2x + 9 = 2x - 2x - 6

x + 9 = -6    

Subtract 9 from both sides.

x + 9 - 9 = - 6 - 9

Combine

x = - 15

7 0
3 years ago
Which expressions are equivalent to -7+3(-4e-3)?
nata0808 [166]

Answer:

A

Step-by-step explanation:

-7+3(-4e-3)

-7-12e-9

-16-12e

simplify

-4(3e+4)

4 0
3 years ago
Other questions:
  • Simplify the following expression
    11·2 answers
  • 2x — бу = 12<br> х+ 10 = — 9
    8·1 answer
  • Here you guys go. Please help more on these probs.
    9·1 answer
  • What do you use in alegebra to explain a varible
    15·2 answers
  • Which expression is equivalent to<br> 2(5m) + m?<br> a) 11m<br> b) 12m<br> c) 5m + 2<br> d) 7m + 2m
    10·1 answer
  • O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x? 23 78.5 337 314
    6·1 answer
  • Someone please help me asap!
    15·2 answers
  • Can anyone help me on this pls?
    6·2 answers
  • Which expression and diagram represent "three times a number"?
    11·2 answers
  • Please say yes or no and tell me the answer
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!