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Sonja [21]
3 years ago
8

An electronic product takes an average of 8 hours to move through an assembly line. If the standard deviation of 0.4 hours, what

is the probability that an item will take between 8.4 and 9.1 hours to move through the assembly line?
Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:   0.1557

Step-by-step explanation:

Given : Mean : \mu=\ 8

Standard deviation : \sigma= 0.4

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

Let the random variable x (number of hours) is normally distributed .

For x= 8.4

z=\dfrac{8.4-8}{0.4}=1

For x= 9.1

z=\dfrac{9.1-8}{0.4}=2.75

The p-value =P(8.4

=P(z

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Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a
geniusboy [140]
(\sqrt[5]{x^{7}})^{3}=(x^{\frac{7}{5}})^{3}=x^{\frac{7\cdot3}{5}}=x^{\frac{21}{5}}

The root is equivalent to a fractional power with that number as the denominator. Otherwise, the rules of exponents apply.
7 0
3 years ago
Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
7 0
2 years ago
Solve 2x-7 = 3x-2(x+8) for x
kolezko [41]

Answer:

x = -11

Step-by-step explanation:

2x - 7 = 3x - 2x - 18

2x - 7 = x - 18

collect like terms

2x - x = 7 - 18

x = -11

5 0
1 year ago
U guys are mean and never answer my questions, like i paid for no one to answer my question
Sav [38]

Answer:

Step-by-step explanation:

You have no grounds for making a statement like that.  There are a variety of reasons why you might not get immediate answers.  Be patient.

I will do the second part of this question (finding the first three numbers):

a(4) = a(3)*(-3) + 2 = -148, so a(3)*(-3) = -150 and a(3) = -50

a(3) = 50

a(2) = a(3)*(-3) + 2 = 50, so -3*a(3) = 48 and a(d) = -16

a(1) = a(2)*(-3) + 2 = -16, so a(2)*(-3) = -18 and a(1) = 6

The procedure for finding a(5), a(6) and a(7) is exactly the same.

3 0
3 years ago
an internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9, how many
anyanavicka [17]
There are 10 single-digits (0 through 9) and 26 letters (A through Z)

For the first slot there are 10 choices which represents selecting a single digit
For the second slot there are 26 choices because we choose a single letter here.
Finally there are another 10 choices for the third slot (assuming repeats are allowed)

Multiply the values out: 10*26*10 = 260*10 = 2600

Answer: 2600
8 0
3 years ago
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