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Soloha48 [4]
3 years ago
9

A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. find the least and

greatest acceptable weight.
Mathematics
2 answers:
Ierofanga [76]3 years ago
5 0
If the acceptable percent error is 2.5%, then the amount it can be over or under 16 oz is 0.4oz.

16 + 0.4
16 - 0.4

16.4 is the greatest, 15.6 is the least.
Aleks04 [339]3 years ago
4 0

Answer:

Least acceptable weight= 15.6 ounces

and Greatest acceptable weight=16.4 ounces.

Step-by-step explanation:

A cereal company fills boxes with 16 ounces of cereal.

The acceptable percent error in filling a box is 2.5%.

i.e. the error in decimal is:

\dfrac{2.5}{100}\times 16=\dfrac{25}{1000}\times 16=0.4

Hence,

the least acceptable weight is obtained by subtracting the actual amount with the error.

16-0.4=15.6 ounces.

and the greatest acceptable weight is obtained by adding the error to the actual weight.

16+0.4=16.4 ounces

Hence,

Least acceptable weight= 15.6 ounces

and Greatest acceptable weight=16.4 ounces.

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Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil
Vanyuwa [196]

Answer:

Probability = \frac{2}{35}

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}

Then, multiples of 3M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}

Next, is to list out the common elements in both

M_3\ n\ M_5 = \{15,30,45,60\}

n(M_3\ n\ M_5) = 4

The required probability is then calculated as thus:

Probability = \frac{n(M_3\ n\ M_5)}{Total}

Probability = \frac{4}{70}

Probability = \frac{2}{35}

7 0
3 years ago
The mean of a set of 5 positive numbers is 29. The median is 28. The mode is 33. What are 5 possible numbers.
finlep [7]

Answer:

28,29,30,33,33

8 0
3 years ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
andrew11 [14]

Answer:

Step-by-step explanation:

Given that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"†).

a) P(X\leq 15) = 0.1565=0.157

b) P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078

c) P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817

d) 2 std dev = 2(20) =40

Hence 2 std deviation means

20-40, 20+40

i.e. (0,60)

P(0

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3 years ago
What is 3/4 of of the power of 3
ahrayia [7]

If you mean to the power of 3 the answer should be 0.421875

6 0
2 years ago
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Factor 4x^4yz-16y^3z
Iteru [2.4K]

Answer:

<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>

Step-by-step explanation:

4x^4yz-16y^3z\\\\4x^4yz=4yz\cdot x^4\\\\16y^3z=4yz\cdot4y^2\\\\4x^4yz-16y^3z=4yz\cdot x^4-4yz\cdot4y^2=4yz(x^4-4y^2)\\\\x^4-4y^2=x^{2\cdot2}-2^2y^2=(x^2)^2-(2y)^2=(x^2-2y)(x^2+2y)\\\\Used:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n\\\\a^2-b^2=(a-b)(a+b)\\\\4x^4yz-16y^3z=4yz(x^2-2y)(x^2+2y)


6 0
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