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2 years ago

15

Imagine that you have red socks and green socks in a drawer that are not paired up. What is the least amount of socks you must t

ake out from the drawer (without looking) to be sure of getting a pair of the same color?

1 answer:

Alex Ar [27]2 years ago

7 0

Answer:

Step-by-step explanation:

Idk sorry

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HELP !! ASAP !!

Sedaia [141]

Answer:

The roots are;

x = (2 + i)/5 or (2-i)/5

where the term i is the complex number representing the square root of -1

Step-by-step explanation:

Here, we want to use the completing the square method to solve the quadratic equation;

f(x) = -5x^2 + 4x -1

Set the function to zero

0 = -5x^2 + 4x - 1

So;

-5x^2 + 4x = 1

divide through by the coefficient of x which is -5

x^2 - 4/5x = -1/5

We now take half of the coefficient of x and square it

= -2/5^2 = 4/25

add it to both sides

x^2 - 4x/5 + 4/25= -1/5 + 4/25

(x- 2/5)^2 = -1/5 + 4/25

(x - 2/5)^2 = -1/25

Take the square root of both sides

x - 2/5 = √( -1/25

x - 2/5 = +i/5 or -i/5

x = 2/5 + i/5 or 2/5 - i/5

7 0

3 years ago

When a number is increased by 8.2%, the result is 106. What is the original number to the nearest tenth?

ruslelena [56]

Answer:

Step-by-step explanation:

Let the original number = x

$x+\frac{8.2}{100}*x=106\\\\x+0.082x=106\\\\1.082x=106\\\\x=\frac{106}{1.082}\\\\x=\frac{106*1000}{1.082*1000}\\\\x=\frac{106000}{1082}\\\\x=97.96\\\\$

x=98.0

x=98

4 0

3 years ago

It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yiel

evablogger [386]

Answer:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

(0.3672 , 0.7328)

Step-by-step explanation:

<u><em>Explanation:</em></u>-

Given Random sample size n =40

Sample proportion

$p = \frac{x}{n} = \frac{22}{40} = 0.55$

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

$(p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )$

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

$(0.55-2.326\sqrt{\frac{0.55 X0.45}{40} } , 0.55 + 2.326\sqrt{\frac{0.55 X0.45}{40} } )$

( 0.55 - 0.1828 , 0.55 + 0.1828)

(0.3672 , 0.7328)

6 0

3 years ago

Read 2 more answers

300 has how many<br> 2/3 in it?

coldgirl [10]

450

hope this helps !!!

8 0

2 years ago

Read 2 more answers

What is the solution set for 2x+5y>-1 and 4x-3<-3?

bekas [8.4K]

PROBLEM ONE

•

Solving for x in 2x + 5y > -1.

•

Step 1 ) Subtract 5y from both sides.

2x + 5y > -1

2x + 5y - 5y > -1 - 5y

2x > -1 - 5y

Step 2 ) Divide both sides by 2.

2x > -1 - 5y

$\displaystyle\frac{2x}{2} > \displaystyle\frac{-1 - 5y}{2}$

$\displaystyle\ x > \frac{-1 - 5y}{2}$

So, the solution for x in 2x + 5y > -1 is...

$\displaystyle\ x > \frac{-1 - 5y}{2}$

•

Solving for y in 2x + 5y > -1.

•

Step 1 ) Subtract 2x from both sides.

2x + 5y > -1

2x - 2x + 5y > -1 - 2x

5y > -1 - 1x

Step 2 ) Divide both sides by 5.

5y > -1 - 1x

$\displaystyle\frac{5x}{5} > \frac{-1 -1x}{5}$

$\displaystyle\ x > \frac{-1 -1x}{5}$

So, the solution for y in 2x + 5y > -1 is...

$\displaystyle\ x > \frac{-1 -1x}{5}$

•

PROBLEM TWO

•

Solving for x in 4x - 3 < -3.

•

Step 1 ) Subtract 3 from both sides.

4x - 3 < -3

4x -3 - 3 < -3 - 3

4x < 0

Step 2 ) Divide both sides by x.

4x < 0

$\displaystyle\frac{4x}{4}$

x < 0

So, the solution for x in 4x - 3 < -3 is...

x < 0

•

•

- <em>Marlon Nunez</em>

7 0

2 years ago