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Evgesh-ka [11]
3 years ago
9

How do I solve -x + 2< 3x -6?

Mathematics
2 answers:
viva [34]3 years ago
7 0
1)subtract 2 from both sides
-x<3x-6-2
2)subtract 3x from each side
-x-3x<-6-2
3)combine like terms (distributive property)
-4x<-8
4)divide each side by -4
x<2
*you may switch around the greater than/less than sign in step 4 depending on your teacher
Hope this could help!
<3 Sofie
brilliants [131]3 years ago
5 0
It's x>2. I hope this helps you out.
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Suppose a researcher is testing a new vaccine on mice to see how well it prevents the flu virus. The lab has 1000 mice available
AfilCa [17]

Solution :

Sampling may be defined as the technique of selecting the individual members or the subset of the population to make a statistical inferences and estimates the characteristics of the entire population.

There are several sampling methods. This includes : Systematic sampling, clustered sampling, stratified sampling, quota sampling, judgement sampling, random sampling, convenience sampling and many more.

In the context, the sampling methods for each of the descriptions are :

a). The researcher use computer program to randomly choose a sample of 30 mice of the 1000 mice for using her study

   --- Simple Random

b). The researcher chose the 1st 30 mice as she can reach the door to the mouse room

   --- Convenience sampling

c). The mice those whose are kept in the cages on 10 various shelves in mouse room. The researcher or the experimenter chose the three mice from each shelve.

  ---- Stratified sampling

d). Each of the cage have 5 mice and the researcher randomly chooses 6 cages for her study

----- Cluster sampling

e). The researcher generates the list of the identification numbers which has been sorted from the smallest to the largest. The researcher randomly picks 1 mouse form the list and selects every 4 mouse until the researcher has 30 mice.

 ---- Systematic sampling

7 0
3 years ago
B
Tomtit [17]
This would be 525 / 0.70  = $750 Answer
8 0
3 years ago
A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trap
jolli1 [7]

Answer:

90 approximately because if AB is 80 then DC should be 90 because AB come before DC in letters

6 0
2 years ago
Find the quotient. (6x 2 - x - 40) ÷ (5 + 2x) 8 - 3x 3x + 8 3x - 8
Artyom0805 [142]

Answer:

The quotient is 3x-8

Step-by-step explanation:

(6x^2-x-40)÷ (5 + 2x)

The above equation can be written as

(6x^2-x-40)÷ (2x + 5)

The division is shown in the figure below.

The quotient is 3x-8

4 0
3 years ago
The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

4 0
3 years ago
Read 2 more answers
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