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Mumz [18]
3 years ago
14

Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mea

n of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?
Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

P(500<  xˉ <510)≈0.95

Step-by-step explanation:

Khan Academy

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Johnny's mother has 3 children. The first child is named April. The second child is named May. What is the third child's name
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The answer is Johnny. You can conclude from the first sentence of your question. It is stating that Johnny's mother has three children. Johnny is included in the three children. So, the third child's name was Johnny!
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What is the positive difference between -8. and 9​
Artemon [7]

Answer:

1

Step-by-step explanation:

9-8=1

Hope that this is helpful.

Have a nice day.

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Step-by-step explanation:

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Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

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4 0
1 year ago
Given: 3x+1 = -14; Prove: x=-5
Sav [38]

Answer: the most straight-forward way to prove this is to plug -5 in the equation as the value of x. If the the equality holds, it is proven that x=-5:

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-15+1=-14

-14=-14  --> equality holds --> x=-5 is a solution to 3x+1=-14

6 0
3 years ago
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