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Brums [2.3K]
3 years ago
8

If a seed is planted, it has a 75% chance of growing into a healthy plant.

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

9.72405%

Step-by-step explanation:

Binomial Probability

(N choose k) p^k (1-p)^(n-k)

N=7  seeds planted

p= 100% - 70% = 30% = 0.3 <--- we are interested in the plant NOT growing

(1-p) = 70% = 0.7  <--- 70% chance the plant will survive and grow

k=4  <--- we want four of them to fail

The probability is:

 (7 choose 4) * (0.3)^4  (0.7)^3 =

 7!/(4!3!) (0.3)^4 (0.7)^3  =

 (7*6*5/3*2) (0.3)^4 (0.7)^3 =

 7*5 (0.3)^4 (0.7)^3 =

 35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%

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Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Ann [662]

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

5 0
3 years ago
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Serga [27]

Answer:

flip it around 9/13 reciprocal would be 13/9

8 0
2 years ago
For the given function f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
kakasveta [241]

Answer:

a) (f + g)(x) = 9x + 1

Domain: x ε R

b) (f - g)(x) = (-5x + 13)

Domain: x ε R

c) (f.g)(x) = 14x² + 37x - 42

Domain: x ε R

d) (f/g)(x) = (2x + 7)/(7x -6)

Domain: (x ε R except x = 6/7)

e) (f + g)(7) = 64

f) (f - g)(2) = 3

g) (f.g)(3) = 195

h) (f/g)(x) = 1/3

Step-by-step explanation:

f(x) = 2x + 7, g(x) = 7x - 6

a) (f + g)(x) = f(x) + g(x) = (2x + 7) + (7x - 6)

(f + g)(x) = 9x + 1

Since x is defined for functions f & g for all real numbers, the domain of (f + g)(x) is x ε R

b) (f - g)(x) = f(x) - g(x) = (2x + 7) - (7x - 6)

(f - g)(x) = (-5x + 13)

Since x is defined for functions f & g for all real numbers, the domain of (f - g)(x) is x ε R

c) (f.g)(x) = f(x) × g(x) = (2x + 7)(7x - 6)

(f.g)(x) = 14x² - 12x + 49x - 42 = 14x² + 37x - 42

Since x is defined for functions f & g for all real numbers, the domain of (f.g)(x) is x ε R

d) (f/g)(x) = f(x)/g(x) = (2x + 7)/(7x -6)

x is defined for functions f & g for all real numbers, the domain of (f/g)(x) will be x ε R except when the denominator vanishes (that is, goes to zero). This will cause the function to take up values of ∞.

This will happen when 7x - 6 = 0, x = 6/7.

Therefore, the domain of (f/g)(x) is x ε R except the point, x = 6/7.

e) (f + g)(7) = 9(7) + 1 = 64

f) (f - g)(2) = -5(2) + 13 = 3

g) (f.g)(3) = 14(3²) + 37(3) - 42 = 195

h) (f/g)(27) = (2(27) + 7)/(7(27) - 6) = 61/183 = 1/3

Hope this Helps!!!

5 0
2 years ago
Easy question for smort people
Vesnalui [34]

Answer:

this angle is a right angle(90°)

and one of the 2 angles is 30

3x+30=90

3x=90-30

3x=60

x=20

==> B

7 0
2 years ago
Read 2 more answers
Sweet t has 2 orange picks for every green pick. if six of the picks are green how many are orange.
klemol [59]

There 12 orange picks because 2 x 6 = 12  

3 0
3 years ago
Read 2 more answers
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