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sergejj [24]
3 years ago
6

What is the equation for the sum of half a number and two-thirds of the number is less than 14?

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

1/2x+2/3x<14

3/6x+4/6x<14


7/6x<84/6

x<504/42

x<12

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liubo4ka [24]
5/4=15/12
2/3=8/12
15/12+8/12=23/12
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3 years ago
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One hundred items are simultaneously put on a life test. Suppose the lifetimes
romanna [79]

Answer:

a) \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b) \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( i-1 )st and the ith failures. Then, the T_{i} are independent with \mathrm{T}_{\mathrm{i}} being exponential with rate \frac{(101-i)}{200} .

Therefore,

a) E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]

=\sum_{i=1}^{5} \frac{200}{101-i}

\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b)

The variance is given by, \mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]

\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

7 0
4 years ago
Solve the inequality:<br>x+8 &gt; 14<br>O x26<br>O x2 22<br>Oxs 22<br>Ο κε 6​
almond37 [142]

Answer:

Option D, x > 6

Step-by-step explanation:

<u>Step 1:  Subtract 8 from both sides </u>

<u />x + 8 > 14

x + 8 - 8 > 14 - 8

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Answer:  Option D, x > 6

6 0
3 years ago
Which theorem or postulate proves that △ABC and △DEF are similar?
yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

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\frac{ED}{AB}= \frac{7}{21}

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and

\frac{EF}{BC}= \frac{11}{33}

\frac{EF}{BC}= \frac{1}{3}

Thus

\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}

∠ABC = ∠DEF  (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

7 0
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Elina [12.6K]

Answer:

[0.373, 16.607]

8 0
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