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Klio2033 [76]
2 years ago
13

Bags of sugar from a production line have a mean weight of 5.020 kg with a standard deviation of 0.078 kg. The bags of sugar are

packed in cartons of 20 bags each, and the cartons are piled in lots of 12 onto pallets for shipping. a) What percentage of cartons would be expected to contain less than 100 kg of sugar? b) Find the upper quartile of sugar content of a carton. c) What mean weight of an individual bag of sugar will result in 95% of the pallets weighing more than 1200 kg.?

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Answer:

a.0.126

b.100.6356

c.5.010

Step-by-step explanation:

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Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the populati
Oksana_A [137]

Answer:

P(t) = 27000 * (1/9)^(t/4)

Step-by-step explanation:

This problem can me modelled with an exponencial formula:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.

So, our function will be:

P(t) = 27000 * (1-8/9)^(t/4)

P(t) = 27000 * (1/9)^(t/4)

8 0
2 years ago
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A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids
NemiM [27]

Answer:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808

And the answer for this case would be :

s= 3.81 after round the value

Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{31+33+36+41+34}{5}= \frac{175}{5}= 35

Now we can find the sampel deviation with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808

And the answer for this case would be :

s= 3.81 after round the value

6 0
2 years ago
Toy train A crosses a pole after every 24seconds. Toy train B crosses the pole after every 30 seconds and toy train C crosses th
gizmo_the_mogwai [7]

Answer: 6 minutes

Step-by-step explanation:

From the question, Toy train A crosses a pole after every 24seconds while Toy train B crosses the pole after every 30 seconds and then toy train C crosses the pole after every 36 seconds. We are going to solve this by finding their lowest common multiple (LCM).

24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360.

30 = 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 360, 390

36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.

We can see that the lowest common multiple of 24, 30 and 36 is 360.

Since 60 seconds make 1 minute, this will be converted to minutes.

= 360/60

= 6 minutes.

They all cross the pole together after 6 minutes.

6 0
2 years ago
Marissa bought 60 horns for her New Year’s Eve party for $83.40.
katovenus [111]

Answer:

We don't have the statements but I can tell you the following info:

Step-by-step explanation:

83.4/60= $1.39 for each horn

18*1.39= $25.02 for the 18 additional horns.

$83.40+25.02= $108.42 for the total 78 horns

3 0
2 years ago
Which expression has a negative value?
Igoryamba

Answer:

A: 7 + 3 (negative 4) (2)

Step-by-step explanation:

Just as a rule of thumb, whenever you multiply or divide one negative number and one positive number, the outcome is always negative. However, whenever you multiply or divide two negative numbers OR two positive numbers, the outcome is always positive.

Now, let's first convert all these words into simple mathematical expressions and then solve them:

A) "7 + 3 (negative 4) (2)" = 7 + 3 * (-4) * 2 = 7 + (-24) = -17

B) "Negative 2 Left-bracket 12 divided by (negative 3) Right-bracket" =

-2 * [12/(-3)] = -2 * (-4) = 8

C) "(15 minus 7) minus (9 divided by 3)" = (15 - 7) - (9/3) = 8 - 3 = 5

D) "Negative 5 Left-bracket 7 + (negative 14) Right-bracket minus 30" =

-5 * [7 + (-14)] - 30 = -5 * (-7) - 30 = 35 - 30 = 5

The only expression that produces a negative value is the first one, A.

Hope this helps!

3 0
2 years ago
Read 2 more answers
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