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sladkih [1.3K]
3 years ago
14

Using the digits 0 to 9 at most one time each,fill in the boxes below to write equations whose solution is -1/2

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

The equations whose solutions are -1/2 are:

1. 4x + 1 = 6x + 2

2. 3x + 7 = 5x + 8

Step-by-step explanation:

Using the digits 0 to 9 at most one time each, the equations whose solutions are -1/2 are:

1. 4x + 1 = 6x + 2

-2x = 1

x = -1/2

2. 3x + 7 = 5x + 8

-2x = 1

x = -1/2

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Find the missing side of the right triangle
vlada-n [284]

Answer:

a {}^{2}  + b {}^{2}  = c {}^{2}  \\ b {}^{2} =  \sqrt{c {}^{2}   -  a {}^{2} }  \\ b =  \sqrt{14 {}^{2}   - 3 {}^{2}  }  \\ b =  \sqrt{196 -  9}  \\ b =  \sqrt{187}  \\ b = 13.7

I hope this help

6 0
3 years ago
Suppose the size of a population of mustard plants is 6,000. According to genetic drift theory, what is the probability that a n
andre [41]

Answer:

1/12,000

Step-by-step explanation:

Data provided in the question:

Size of a population of mustard plants = 6,000

Now,

According to genetic drift theory

The probability that a newly-arisen mutation will become fixed is given using the formula

⇒ 1 ÷ [ 2 × Size of a population of mustard plants ]

⇒ 1 ÷ [ 2 ×6,000 ]

⇒ [ 1 ÷ 12,000 ]

Hence,

probability that a newly-arisen mutation will become fixed in this population is 1/12,000

3 0
3 years ago
A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?​
cupoosta [38]

Length of a carton :

=  \frac{22}{3}  \: feet

Width of the carton :

=  \frac{11}{8}  \: feet

Height of the carton :

=  \frac{11}{5}  \: feet

Volume of the carton :

= Length × Width × Height

=  \frac{22}{3}  \times  \frac{11}{8}  \times  \frac{11}{5}

=   \frac{2622}{120}

\color{hotpink} =  21.85 \: feet

Therefore, the volume of the carton = 21.85 feet.

7 0
3 years ago
An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been p
bazaltina [42]

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

8 0
3 years ago
Rút gọn biểu thức chứa căn
olya-2409 [2.1K]

Answer:

CHENG CHANG ching ching

3 0
3 years ago
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