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aleksandrvk [35]
3 years ago
9

A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers

who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?
0.10
0.21
0.35
0.40
Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

Okay so!

Step-by-step explanation:

for a cut that's .87 and for a color that is .24 so you multiply them together to get the probability for the color which is

.35 or C on edge

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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
melomori [17]

Answer:

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}<em>. </em>

Let be r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9} and r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9} roots of the quadratic function. By Algebra we know that:

y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} (1)

Then, the quadratic polynomial is:

y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}

y = 81\cdot x^{2}-36\cdot x -19

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

5 0
3 years ago
W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo
weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

GivenW= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

P = 2^n - 1

Where

n = number\ of\ elements

In this case;

n = 10

So:

P = 2^n - 1

P = 2^{10} - 1

P = 1024 - 1

P = 1023

Hence;

<em>Proper Subsets = 1023</em>

7 0
3 years ago
Can some please help me with this one it would be much appreciated
kherson [118]

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.              

Step-by-step explanation:

Given

  • r=9 mi
  • Ф = 60°

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.                        

7 0
2 years ago
If f(x)=3x-1 and g(x)= x+2 find (f-g)(x)
NemiM [27]

Answer:

\boxed{2x-3}

Step-by-step explanation:

f(x)=3x-1\\ g(x)= x+2

(f-g)(x)\\f(x)-g(x)

(3x-1)-(x+2)\\ 3x-1-x-2\\2x-3

6 0
3 years ago
The radius of a sphere is 6 units.
Yanka [14]

Answer:

The answer is Three-Fourthst(12)2

7 0
3 years ago
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