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just olya [345]
3 years ago
14

A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.

5 oz. The boxes filled by the machine have weights that can be closely approximated by a normal curve. What fraction of the boxes filled by the machine are underweight if the standard deviation is 0.3 oz?
Mathematics
1 answer:
Rudiy273 years ago
7 0

Answer:

0.1587

Step-by-step explanation:

Use this website : https://www.numerade.com/questions/a-box-of-oatmeal-must-contain-16-oz-the-machine-that-fills-the-oatmeal-boxes-is-set-so-that-on-the-2/

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What is the solution for -2=-(n-8) ?
Rama09 [41]

Remark

The trick here is to remove the brackets carefully. Once you have done that the problem is almost solved.

- 2 = - (n - 8) Multiply both terms inside the brackets by - 1

-1 * n = - n

-1 * -8 = + 8 Be very careful with that. Make sure you understand that two minus's make a plus.

- 2 = - n + 8 Add n to both sides.

-2 + n = -n + n + 8

-2 + n = 8 Add 2 to both sides.

-2 + 2 + n = 8 + 2

n = 10

You should check this.

-2 = -(10 - 8)

-2 = -(2)

- 2 = - 2 and it checks.

7 0
3 years ago
Read 2 more answers
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alisha [4.7K]

Answer:

d=3\sqrt{2}\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{9-5}{7-3}

m=\frac{4}{4}=1

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=1\\point\ (3,5)

substitute

y-5=(1)(x-3)

isolate the variable y

y=x-3+5

y=x+2 -----> equation A

step 2

Find the equation of the perpendicular line to the given line L  that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

The slope of the given line L  is m=1

The slope of the line perpendicular to the given line L  is

m=-1

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=-1\\point\ (2,10)

substitute

y-10=-(x-2)

isolate the variable y

y=-x+2+10

y=-x+12 ----> equation B

step 3

Find the intersection point equation A and equation B

y=x+2 -----> equation A

y=-x+12 ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(2,10) and (5,7)

substitute

d=\sqrt{(7-10)^{2}+(5-2)^{2}}

d=\sqrt{(-3)^{2}+(3)^{2}}

d=\sqrt{18}\ units

simplify

d=3\sqrt{2}\ units

see the attached figure to better understand the problem

6 0
4 years ago
Rewrite 8x - 7 as the product of two factors
kykrilka [37]

Answer:

factors are any group of number or expressions which, when multiplied, produce another number or expression.

Basic example:  4 can be broken into 2 factors---2 and 2.  2 times 2 = 4

Example using an unknown:

2X + 6 = 2 * (X + 3)

In the given problem, there is no whole-number common factor.  A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.

So:  8X + 7 = 8 ( X + 7/8 )

The following would also be correct:

8X + 7 = 4 ( 2X + 7/4 )

Step-by-step explanation:

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3 years ago
Identify the solution set for: −2|−2x−4|=−12
myrzilka [38]

Answer:

C: {−5, 1)

Step-by-step explanation:

Starting with −2|−2x−4|=−12, divide both sides by -2:

|−2x−4| =  6

Reduce this by dividing all terms by 2:

|-x - 2| = 3

This is equivalent to   x + 2 = 3  and  x + 2 = - 3

Solving thse two equations, we get x = 1 and x = -5

And so the solution set is  C: {−5, 1)

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3 years ago
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#23 solve each equation using linear and quadratic quation
vitfil [10]
The solution for the #23 equation is either x=9 or x= -3
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3 years ago
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