Ask question

Ask question

All categories

4 years ago

9

A box contains

1 answer:

Dimas [21]4 years ago

6 0

Sample space of A the 1st box ={5 plain pencils, 5 pens}

Sample space of B the 2nd box ={5 color pencils,7 crayons}

P(pen from the first box) =5/10 = 1/2
P(crayon from the second box) = 7/12

Now the P(pen from the first box AND crayon from the second box)

=P(pen from the first box ∩ crayon from the second box) =1/2 x 7/12
= 7/24 = 0.29

You might be interested in

A computer is generating passwords. The computer generates ten characters at random, and each is equally likely to be any of the

7nadin3 [17]

Answer: 0.0386

Step-by-step explanation:

Number of digits = 10

Number of letters in English alphabet = 26

Total number of characters = $10+26=36$

Now, if replication is allowed, then the total number of ways to make a ten character password will be :_

$(36)^{10}$

The number of ways to make a password having all letters :-

$(26)^{10}$

Now, the probability that the password will contain all letters will be :-

$\dfrac{26^{10}}{36^{10}}=0.0386107708316\approx0.0386$

Hence, the probability that the password will contain all letters =0.0386

6 0

3 years ago

What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

$x = \frac{-b}{2a}$

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

6 0

4 years ago

The sum of two consecutive integers

Kipish [7]

Are they any given ones ?

8 0

3 years ago

What is the solution to this equation : 7p - 20p + 12 = ?

timurjin [86]

Answer:

The solution is -13p+12.

Step-by-step explanation:

You have to combine like terms to solve this expression, also shown below:

7p+−20p+12

(7p+−20p)+(12)

−13p+12 . So, the solution is -13p+12.

8 0

3 years ago

Bruce is a singer who earns $250 to perform a concert. After his show, Bruce sells his CDs for $12.50 each. Which graph best sho

elena-s [515]

Answer:

Whichever graph that shows 20 CDs sold

Step-by-step explanation:

x = # of CDs sold

Equation: $500 = $12.50x + $250

Subtract $250 from both sides, you should be left with $250 = $12.50x

Then, you have to divide $12.50 from both sides: $\frac{250}{12.50} = \frac{12.50x}{12.50}$

You should be left with x = 20, Bruce sold 20 CDs after his show to earn a total of $500 for the night

5 0

3 years ago