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igomit [66]
3 years ago
7

I need help!!

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0

Answer:

The exact solution is

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

5^{7*x} = 60\\

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

Ln(5^{7*x}) = Ln(60)

Then we get:

7*x*Ln(5) = Ln(60)

Solving that for x we get:

x = \frac{Ln(60)}{7*Ln(5)}  = 0.363

So the exact solution is:

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

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Ashley solved the equation for m using the following steps.
Natalka [10]

Answer:

Ashley should have added 4.5 to both sides.

Step-by-step explanation:

Given expression:

-4.5+m=17

Ashley's solution:

Subtracted 4.5 to both sides and got,

m=12.5

Correct solution:

Adding 4.5 to both sides.

-4.5+m=17

 +4.5          +4.5

∴ m=21.5

Error made by Ashley was subtracting 4.5 both sides. Instead he should have added 4.5 both sides.

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A game has an expected value to you of ​$100. it costs ​$500 to​ play, but if you win you receive​ $100,000 (including your ​$50
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A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more ar
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Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

  • n=4 (the amount of batteries picked for the sample).
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The probability of having k dead batteries in the sample is:

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