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goldenfox [79]
3 years ago
14

The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X

\sim N(21.37,0.4). What is the chance that a sample of 4 packages of mints has an average weight, \overline X, between 21 and 22 grams
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

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".  

Solution to the problem

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

X \sim N(21.37,0.4)  

Where \mu=21.37 and \sigma=0.4

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

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

We can find the probability required with the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}


And replacing we got:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

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Zigmanuir [339]
The sum of all the interior angles in a hexagon is 720°, so if you add up all the angles and then take them away from 720, you'll get your answer:
152 + 85 = 237
237 + 85 = 322
322 + 125 = 447
447 + 135 = 582
So 720 - 582 = 138°, which is your answer. I hope this helps!
3 0
3 years ago
The height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t^2 + 88t where "t" is the time it is
Dvinal [7]

By definition of the zeros of ta quadratic function,  for 5.5 seconds the ball is in the air before it hits the ground.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

<h3>Time the ball is in the air before it hits the ground</h3>

In this case, the height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t² + 88t, where "t" is the time it is in the air.

When the ball hits he ground, he height h has a value of zero. This is h=0. Replacing in the previous expression for the height you get:

0= -16t² + 88t

It can be solved by extracting the term "t" as a common factor:

0= t×(-16t + 88)

The Zero Product Principle says that if the product of two numbers is 0, then at least one of the factors is 0. Then:

t= 0

or

0= -16t + 88

Solving: -88= -16t

(-88)÷ (-16)=t

<u><em>5.5= t</em></u>

Finally, this means that for 5.5 seconds the ball is in the air before it hits the ground.

Learn more about the zeros of a quadratic function:

brainly.com/question/12649112

brainly.com/question/21320065

brainly.com/question/12037466

#SPJ1

3 0
2 years ago
Use long division to find the value of 1,875 - 15​
Georgia [21]

Answer:

1860

Step-by-step explanation:

1875-15 = 1860

7 0
3 years ago
Bc has endpoints b(5 ,9) and c(-4, -3). Find the coordinates of the midpoint of bc
Alex73 [517]
We can find the midpoint of any line segment using the midpoint formula: M=(x1+x2/2,y1+y2/2). Essentially, the midpoint formula finds the average of two points. If we use B and the first point and C as the second, when we plug in our values we would have M=(5-4/2,9-5/2). This can be simplified to M=(1/2,4/2) or M=(1/2,2) which is the final answer.

<span>I hope this helps.</span>
4 0
3 years ago
Read 2 more answers
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp
jeka94
Josh has hiked 17 km, which is 2 km away from being 1/2 done. 
<span>In a equation, this might look like: 17 + 2 = (1/2)h </span>
<span>where h is the length of the hike. </span>
<span>and solve for h, h = 38 km

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
7 0
3 years ago
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