Ask question

Ask question

All categories

anzhelika [568]

3 years ago

11

You pick 7 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have

written the first 7 digits of your phone number

1 answer:

Pie3 years ago

7 0

Answer:

= .0000001

Step-by-step explanation:

The odds of getting 1 number of out the 10 possible number (0-9) equal 10 is 1/10

There are 7 numbers to pick

P(xxx-xxxx) = 1/10 * 1/10 *1/10 * 1/10 * 1/10 * 1/10 *1/10

= .0000001

You might be interested in

Find the slope of the line that contains the points whose coordinates are (9, 8) and (-2, 1)

melisa1 [442]

7/11

you do rise over run, which is y2-y1/x2-x1

5 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

$f(x,y,z)=10x+10y+3z$

$g(x,y,z)=5x^2+5y^2+3z^2=43$

We have to find the extreme values of the function.

$f_x(x,y,z)=10,f_y(x,y,z)=10,f_z(x,y,z)=3$

$g_x(x,y,z)=10x,g_y(x,y,z)=10y,g_z(x,y,z)=6z$

$\Delta f(x,y,z)=\lambda \Delta g(x,y,z)$

Therefore,

$10=\lambda 10x\implies x=\frac{1}{\lambda}$

$10=10y\lambda\implies y=\frac{1}{\lambda}$

$3=6z\lambda$

$z=\frac{1}{2\lambda}$

Substitute the values in g(x)

Then, we get

$\frac{5}{\lambda^2}+\frac{5}{\lambda^2}+\frac{3}{4\lambda^2}=43$

$\frac{20+20+3}{4\lambda^2}=43$

$\frac{43}{4\lambda^2}=43$

$\lambda^2=\frac{43}{4\times 43}$

$\lambda=\pm\frac{1}{2}$

When $\lambda=\frac{1}{2}$ then,

$x=2,y=2,z=1$

When $\lambda=-\frac{1}{2}$

Then, $x=-2,y=-2,z=-1$

$f(2,2,1)=10+10+3=23$

$f(-2,-2,-1)=-10-10-3=-23$

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

8 0

4 years ago

Find the unknown angle in each case.

antiseptic1488 [7]

A = 50
For the other one it is 100
If you are looking for z then z is 55

4 0

3 years ago

In each box, 20% of the total candies are grape flavored. In a box of 45 candies, how many are grape flavored?

Debora [2.8K]

Answer:

20% of 45 would be 9. That means 9 candies, will be grape flavored.

8 0

2 years ago

Read 2 more answers

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ITS MATH I THINK U CAN DO IT

torisob [31]

Answer:

2

Step-by-step explanation:

2*2=4*2=8

8 0

3 years ago

Read 2 more answers