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cricket20 [7]
3 years ago
7

How do I find the value of X for the equation (3x+1)+(4x-5)=8x-9

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0

(3x+1)+(4x-5)=8x-9

7x-1=8x-9

7x=8x-8

-x=-8

X=8

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suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.
emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

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4 0
1 year ago
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Sharon wants to buy a shirt that costs $55. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Semmy [17]

easy

5% is .05 two decimals to the left

55 x .05 = 2.75

$2.75 is your sales tax

55+2.75=$57.75

8 0
3 years ago
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you
uysha [10]

Answer:

  19.44 hours, about 19 hours 26 minutes

Step-by-step explanation:

The exponential equation that describes your caffeine level can be written as ...

  c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg

We want to find t for c(t) = 10, so ...

  10 = 120(0.88^t)

  10/120 = 0.88^t . . . . . . . divide by 120

  log(1/12) = t·log(0.88) . . . take logarithms

  t = log(1/12)/log(0.88) ≈ 19.4386

It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.

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3 years ago
Jade has a budget of $200
stealth61 [152]
And? It’s there a full question?
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Please help mee! The picture is up there :)
Gala2k [10]

Answer:0

the answer is 5

Step-by-step explanation:

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3 years ago
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