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
Alex Ar [27]
3 years ago
10

An experiment consist of drawing 1 card from a standard 52 -card deck. Let E be the event that card drawn is a 2. Find P(E').

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0
The sum of the probabilities of an event E and its complement E' is  1, 

that is P(E)+P(E')=1, where E' is "not E".

The event E can happen in 4 ways, because there are four 2's that can be drawn.

P(E)=n(E)/52=4/52=0.08

P(E')=1-P(E)=1-0.08=0.92


Answer: 0.92
You might be interested in
The net below depicts a triangular prism. What is the total surface area of the prism?
svetlana [45]

Answer:

112in

Step-by-step explanation:

5 0
3 years ago
Check all apply 3x+4=10
garri49 [273]

Answer:

Solution is x=2. sorry if this is not what you are looking for!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The airplane in the scale drawing has a wingspan of a feet and a tail span of b feet. If the tailspin in the drawing is 2 inches
xeze [42]

Correct answer is: actual wingspan of airplane is 6 inches.

Solution:-

We are given that wingspan is 'a' feet and tail span is 'b' feet in a scale drawing.

And we are also given that tail span is 2 inches that is b=2 inches and \frac{a}{b}=3

Let us plugin the b value in above equation.

\frac{a}{2}=3

Multiplying with 2 on both sides.

a=3X2=6 inches.

Hence actual wingspan of airplane is 6 inches.

7 0
3 years ago
I just need no. a please help me to prove this. ​
OleMash [197]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    and         cos A = cos B · cos C

scratchwork:

  A + B + C = π

               A = π - (B + C)

         cos A = cos [π - (B + C)]                              Apply cos

                    = - cos (B + C)                                    Simplify

                    = -(cos B · cos C - sin B · sin C)          Sum Identity

                    = sin B · sin C - cos B · cos C               Simplify

cos B · cos C = sin B · sin C - cos B · cos C               Substitution

2cos B · cos C = sin B · sin C                                        Addition

                     2=\dfrac{\sin B\cdot \sin C}{\cos B \cdot \cos C}                                     Division

                     2 = tan B · tan C

\text{Use the Sum Identity:}\quad \tan(B+C)=\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}

<u>Proof LHS → RHS</u>

Given:                              A + B + C = π

Subtraction:                     A = π - (B + C)

Apply tan:                  tan A = tan(π - (B + C))

Simplify:                               = - tan (B + C)

\text{Sum Identity:}\qquad \qquad \qquad =-\bigg(\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}\bigg)

Substitution:                        = -(tan B + tan C)/(1 - 2)

Simplify:                               = -(tan B + tan C)/-1

                                            = tan B + tan C

LHS = RHS:   tan B + tan C = tan B + tan C  \checkmark

5 0
3 years ago
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basem
Mazyrski [523]

Answer:

The correct answer is the length is 10 feet and width is 2 feet respectively.

Step-by-step explanation:

Let length of the rectangular floor of Louis' basement be l feet and width be \frac{l}{5} feet respectively.

Area of the basement floor is given to be 500 square feet.

Therefore according to the given problem,

l × \frac{l}{5}  = 500

⇒ l^{2} = 100

⇒ l = 10 ; [length cannot be negative]

⇒ b = 2

Thus the length and width be 10 feet and 2 feet respectively.

4 0
3 years ago
Other questions:
  • Solve this inequality: 3q + 11 + 8q &gt; 99. A. q &gt; 8 B. q &gt; 1/8 C. q &gt; 88 D. q &gt; 11
    7·1 answer
  • Complete the following: 2197 is the CUBE root of ______<br>​
    7·1 answer
  • :
    14·1 answer
  • If a bag contains 10,500 ounces (oz) of sand, about how many pounds (lb) does it contain? 1 pound = 16 ounces
    13·2 answers
  • Jumoke is 11years older than amina. in 5 years time, jumoke will be twice as old as amina. Find amina present age​
    6·2 answers
  • Alex needs to varnish the top and bottom of a dozen rectangular wooden planks the planks are 8 feet long and 3 feet wide eavh pi
    15·1 answer
  • What is the slope of the line through (1,-1) and (5,-7)​
    6·1 answer
  • Here's a riddle
    5·2 answers
  • Charlene has eight more dollars than Megan. Together they have $86.00. Which equation can be used to determine the amount of mon
    7·1 answer
  • Solve for x. x/3 +7 = 10
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!