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3 years ago

Pls helpPLSSSSSSSSSS

Mathematics

1 answer:

velikii [3]3 years ago

5 0

Answer: $60.00

Step-by-step explanation: First the solution: (Start form the end!!) $40.00 (the ending total) minus the $10.00 he added on, $40-$10=$30 which is half of the original total so now you have to multiply by two to get the starting balance ($60.00)!

Now for the inequality, since we don't know the beginning balance of the gift card that will be our variable.

Then, since he spent half of this buying coffee we would have to split our variable in half.

g/2

After that, Peter added an additional $10.00 to said gift card.

g/2 + 10 = 40

Going off of that the final inequality would be $60.00 = g/2 + 10 = 40

BAMM!! GOOD LUCK IN MATH CLASS!!!

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a) $P(0.11$

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And we want to find this probability:

$P(-2.22< Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by: