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posledela
3 years ago
10

The number of potato chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4. Approximately what

percent of bags contain between 62 and 86 potato chips?
Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:  99.7 % of the bags contain between 62 and 86 potato chips.

Step-by-step explanation:

The standard deviation given is 4.

Find the difference between the given numbers and the mean,

74-62= 12 .  86-74=12

then  divide 12 by 4 to find the number of standard deviations:  12/4=3

Check a chart or diagram of the Gaussian Distribution to find that 99.7% of the samples lie within 3 standard deviations from the mean.

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If you were to cut a cake diagonally we could say the result would be an oval. Please refer to the image I provided below. 

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3 years ago
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Can someone explain to me why are we adding 2kpi when we are doing zeros for sin and cos, but adding kpi when doing zeros for tg
makvit [3.9K]

on the first exercise, you got a solution angle of π/18, that's a good solution for the I Quadrant only, however, on a circle, we have angles that go from 0 to 2π, however we can always keep on going around and continute to 2π + π/2 or 3π or 4π, or 115π/3 or 1,000,000π/18 and so on, and we're really just going around the circle many times over, getting a larger and larger angle, same circular motion.

π/18 on that exercise works for the I Quadrant, however if we continue and go around say 2π, we'll find that 2π/3 + π/18 is a coterminal angle with π/18, and thus that angle has also the same sine value.

π/18 + 2kπ/3 , where k = integer, is a way to say, all angles around the circle that look like this have the same sine, namely

π/18 + 2(1)π/3

π/18 + 2(2)π/3

π/18 + 2(3)π/3

π/18 + 2(5)π/3

π/18 + 2(99999999)π/3

.....

so using the "k" as some sequence multiplier, is a generic notational way to say, "all these angles".

you'll also find that "n" is used as well for the same notation, say for example

2π/3  + 2πn.

8 0
3 years ago
Samara has an assignment to conduct a survey. She wants to find out what students like to do after school. She asks the first 10
Sliva [168]
C: Because she doesn't choose certain people
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In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a
sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of \alpha = 0.05

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

     p₂ be the sample of the second shift

     p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the \chi² test gives 8.10

degrees of freedom:

df = k - 1

   = 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤\alpha≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0
3 years ago
Y = f(x) = -1<br> Find f(x) v/hen x = 3.
-Dominant- [34]

Answer:

f(x) is equal to -1 when x=3

Step-by-step explanation:

we have

y=f(x)=-1

This is a constant function

we know that

A <u>constant function</u> is a function whose output value is the same for every input value

therefore

when x=3 (input value)

The value of the function is y=-1 (output value)

6 0
3 years ago
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