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DiKsa [7]
2 years ago
6

Prove: a/(b+c)+b/(a+c)+c/(a+b)<2

Mathematics
1 answer:
faust18 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

a/(b+c) < 2a/(a+b+c)

b/(a+c) < 2b/(a+b+c)

c/(a+b) <2c/ (a+b+c)

so a/(b+c)+b/(a+c)+c/(a+b) <2(a+b+c)/(a+b+c)=2

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Pls help me #7thgrademath
melamori03 [73]

ovovovovovovovovoovovoovovovovovovoovovovo

6 0
3 years ago
Read 2 more answers
In psychology, there is a particular Mental Development Index (MDI) used in the study of infants. The scores on the MDI have app
ivann1987 [24]

Answer:

0.1587

Step-by-step explanation:

Here, mean=μ=100 and standard deviation=σ=16.

We have to find  P(average MDI scores of 64 children > 102)=P(xbar>102).

n=64

μxbar=μ=100

σxbar=σ/√n=16/√64=16/8=2

P(xbar>102)=P((xbar-μxbar)/σxbar>(102-100)/2)

P(xbar>102)=P(z>1)

P(xbar>102)=P(0<z<∞)-P(0<z<1)

P(xbar>102)=0.5-0.3413

P(xbar>102)=0.1587

Thus, the probability that the average is greater than 102 is 15.87%

4 0
3 years ago
In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
babymother [125]

Answer:

dA/dt = k1(M-A) - k2(A)

Step-by-step explanation:

If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)

Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:

Rate Memorized = k1(M-A)

Where k1 is the constant of proportionality for the rate at which material is memorized.

At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:

Rate forgotten = k2(A)

Where k2 is the constant of proportionality for the rate at which material is forgotten.

Finally, the differential equation for the amount A(t) is equal to:

dA/dt = Rate Memorized - Rate Forgotten

dA/dt = k1(M-A)  - k2(A)

7 0
3 years ago
What two numbers multiply to 630 and add to -57
sveta [45]
-15 and -42 both add to -57 and multiply to 630 
5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%20%2B%207%20%20%3C%20%20-%202" id="TexFormula1" title="x + 7 &lt; - 2" alt="x + 7 &lt; -
vladimir1956 [14]
First one because when you subtract 7 u keep the var. x alone and isolate it.
5 0
3 years ago
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