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Tju [1.3M]
3 years ago
13

Identify the solution set of the inequality using the given replacement set x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}. A. {–5, –2.

6} B. {–5, –2.6, –2} C. { –2, –0.8, 1, 1.5} D. {–0.8, 1, 1.5}
Mathematics
2 answers:
Olenka [21]3 years ago
5 0
If x < - 2 and x ∈ { - 5, - 2.6, - 2, - 0.8, 1, 1.5 }
- 5 < - 2 and - 2.6 < - 2
The solution set is:
A ) { - 5 , - 2.6  }

shepuryov [24]3 years ago
5 0

If x < - 2 and x ∈ { - 5, - 2.6, - 2, - 0.8, 1, 1.5 }

- 5 < - 2 and - 2.6 < - 2

The solution set is:

A ) { - 5 , - 2.6  }

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Given h (x) =2x+5, find h (-6)
yawa3891 [41]
H(-6) = 2(-6) + 5
h(-6) = -12 + 5
Solution: h(-6) = -7
8 0
3 years ago
HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!
KiRa [710]

Answer: B

Step-by-step explanation:

you use the coordinates to find the sides

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How do if-then statements describe mathematical relationships?
Lelechka [254]

Answer:

Math relationships

Step-by-step explanation:

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6 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
For trapezoid JKLM, A and B are midpoints of the legs. Find AB.
romanna [79]

Answer:

29

Step-by-step explanation:

The length of the median of a trapezoid equals one-half the sum of the lengths of the bases.

\begin{array}{rcl}AB & = & \frac{1}{2}(JK + LM)\\\\& = & \frac{1}{2}(19 + 39)\\\\& = & \frac{1}{2}\times 58\\\\& = & \mathbf{29}\\\end{array}

8 0
3 years ago
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