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Paraphin [41]
3 years ago
10

According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. in a random s

urvey of 10 women in this age group, what is the probability that two or fewer were never married
Mathematics
1 answer:
ddd [48]3 years ago
3 0
The probability of finding 2 never married
10c2*0.4^2*0.6^8=
the probability of finding 1 never married
10C1*0.4*0.6^9=
the probability of finding 0 never married
10C0*0.6^10=

the answer is all the above answers added together.
think you can do the rest of the calculation by yourself. :)

btw nCr=n!/(n-r)!r!
good luck
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Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
Carbon-14 has a half-life of 5,700 years. Scientists use this fact to determine the age of things made of organic material. Supp
kumpel [21]
I think it’s b! hearts
8 0
3 years ago
Help mw with this one
Alex787 [66]
1/4 in fraction form, or 0.4 in decimal
5 0
3 years ago
The sum of nine-tenths and g is two-thirds solve for g
Naya [18.7K]

Answer:

- 7/30

Step-by-step explanation:

9/10 + g = 2/3

So subtract 9/10 from both sides of the equation to get g = -7/30

Thank me later :D

4 0
3 years ago
There are 100 Skittles. 94 are blue and 6 are red. If you take 5 Skittles, what’s the chance one will be red? What’s the chance
Art [367]

Answer:

6/100 +94/100

3/50 +47/50

3+47/50

7 0
3 years ago
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