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larisa [96]
3 years ago
15

The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution w

ith a mean of 250 square feet (ft^2) and a standard deviation of 2 ft^2 . To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2 .
Find the probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true.


0.4207


0.0228


0.5793


0.7364


0.2636
Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer: 0.4207

Step-by-step explanation:

Let \overline{x} be the sample mean area.

Given: Population mean : \mu=250 sq. feet

Standard deviation: \sigma=2 sq. feet

Sample size : n= 10

The probability that the sample mean area is 249.6 \text{ ft}^2 or less if the manufacturer’s claim is true.

P(\overline{x}

Required probability = 0.4207

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aleksandr82 [10.1K]

Answer:

(a+b)²=a²+2ab+b²

Step-by-step explanation:

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7 0
3 years ago
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Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

8 0
3 years ago
Marcia is 1.5 meters tall. she casts a shadow that is 2 meters long. a nearby building casts a shadow that is 24 meters long. ho
ankoles [38]
Ratio and proportion

height:shadow=1.5:2

for the building, shadow=24

1.5:2=h:24
1.5/2=h/24
multiply both sides by 24
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3 0
3 years ago
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Select the Like Terms in this expression
sesenic [268]

Answer:

5, 2x2 and 4

Step-by-step explanation:

Terms are expressions or characters that are separated by a plus or minus sign.

therefore, the terms are 3x, 5, 2x2 and 4

like terms have the same have the same variables or no variables attached to them.

like terms = 5, 2x2, and 4

Note: 2x2 = 4

8 0
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Please need help fast. Look at the picture.<br><br> Please explain.
Sidana [21]

Answer:

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Step-by-step explanation:

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I hope this helps!

6 0
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