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Vika [28.1K]
3 years ago
10

The average weight of a chicken egg is 2.25 ounces with a standard deviation of 0.2 ounces. You take a random sample of a dozen

eggs. What is the probability that the mean weight of the eggs in the sample will be less than 2.2 ounces?
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

P(\bar X

P(\bar X

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".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})

Solution to the problem

We want this probability:

P(\bar X

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

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

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

P(\bar X

P(\bar X

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Please answer correctly thank you!
Nina [5.8K]

If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.

Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.

The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.

X = 180 - 61 - 61 = 58 degrees.

5 0
3 years ago
Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards
kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

Area \  of \  rectangle = Length\times breadth

                             =234\times1 =234  \ square \ yards

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards

Therefore, 117 square yards of her garden has roses.

5 0
3 years ago
URGENT!!! SOLVE BY TAKING THE SQUARE ROOTS. 50 POINTS
il63 [147K]

Answer:

Step-by-step explanation:

Hope I helped you

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3 0
2 years ago
Please Help Timed Question. Picture provided below.
Jobisdone [24]

Answer:

17.67 mpg

Step-by-step explanation:

The fuel efficiency is given by :

\eta=1.437+0.541\times s

We need to find the fuel efficiency for a speed of 30 mph

Put the value of s equals 30 mph in the above equation.

\eta=1.437+0.541\times 30\\\\\eta=17.67\ mpg

So, the required fuel efficiency is equal to 17.67 mpg.

6 0
3 years ago
Triangle ABC has side lengths of 4 units, 7 units, and 5 units. Use the Converse of the Pythagorean Theorem to prove that ABC is
zaharov [31]

Answer:

3

 16 + 25 = 49

1

 a^2 + b^2 = c^2

4

41 ≠ 49

2

 4^2 + 5^2 = 7^2

Step-by-step explanation:

8 0
2 years ago
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