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3 years ago

Steps to take to determine the distance in miles between two towns that are 200 kilometers apart

Mathematics

1 answer:

dimulka [17.4K]3 years ago

6 0

Answer:

200 kilometers = 124.274238 miles

Step-by-step explanation:

This problem can be solved by UNITARY METHOD.

Here are the following steps.

Step 1 - Find out the Relation between both the distance Parameters.

Here, 1 km = 0.62137 miles

Step 2: Find out the total number of parameter that needs to be converted into another parameter.

Here, 200 kilometers is to be converted in to miles.

Step 3: Apply the unitary method.

If , 1 km = 0.62137 miles

then, 200 km = 200 x (0.62137 miles)

= 124.274238 miles

Step 4: We have the desired answer.

200 kilometers = 124.274238 miles

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Answer:

(b) The middle 68% of Jiffy Corn Muffin Mix boxes contain between 9.90 ounces and 10.10 ounces of corn muffin mix.

(c) The percentage of Jiffy Corn Muffin Mix boxes containing more than 10.3 ounces or less than 9.7 ounces of corn muffin mix is 16%.

(d) The percentage of iffy Corn Muffin Mix boxes containing more than 10.2 ounces of corn muffin mix is 2.3%.

(e) The percentage of Jiffy Corn Muffin Mix boxes containing less than 10.1 ounces of corn muffin mix is 84%.

Step-by-step explanation:

Let the random variable X be defined as the amount of corn muffin mix in a Jiffy Corn Muffin Mix box.

The random variable X follows a Normal distribution with mean, μ = 10.0 ounces and standard deviation, σ = 0.10 ounces.

(b)

According to the Empirical rule, 68% of the data from a Normal distribution lies within one standard deviation of mean.

That is:

P (x₁ < X < x₂) = 0.68

P (μ - σ < Z < μ + σ) = 0.68

Then,

P (10.0 - 0.10 < Z < 10.0 + 0.10) = 0.68

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Thus, the middle 68% of Jiffy Corn Muffin Mix boxes contain between 9.90 ounces and 10.10 ounces of corn muffin mix.

(c)

Compute the probability that Jiffy Corn Muffin Mix boxes contain more than 10.3 ounces or less than 9.7 ounces of corn muffin mix as follows:

P (X > 10.3 ∪ X < 9.7) = 1 - P (9.7 < X < 10.3)

$=1-P(\frac{9.7-10.0}{0.10}$

Thus, the percentage of Jiffy Corn Muffin Mix boxes containing more than 10.3 ounces or less than 9.7 ounces of corn muffin mix is 16%.

(d)

Compute the probability of Jiffy Corn Muffin Mix boxes contain more than 10.2 ounces of corn muffin mix as follows:

$P(X>10.2)=P(\frac{X-\mu}{\sigma}>\frac{10.20-10.0}{0.10})$

$=P(Z>2)\\=1-P(Z$

Thus, the percentage of iffy Corn Muffin Mix boxes containing more than 10.2 ounces of corn muffin mix is 2.3%.

(e)

Compute the probability that a randomly selected Jiffy Corn Muffin Mix box contains less than 10.1 ounces of corn muffin mix as follows:

$P(X$

$=P(Z$

Thus, the percentage of Jiffy Corn Muffin Mix boxes containing less than 10.1 ounces of corn muffin mix is 84%.

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Could someone tell me the answer pls Thankss alot

blagie [28]

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