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Lemur [1.5K]
3 years ago
14

If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes i

f the standard deviation is 5 minutes? (Make sure to use a percentage!)
Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

0.82%

Step-by-step explanation:

First find the z-score.

z = (x − μ) / σ

z = (72 − 60) / 5

z = 2.4

Use a chart or calculator to find the probability.

P(Z > 2.4) = 1 − P(Z < 2.4)

P(Z > 2.4) = 1 − 0.9918

P(Z > 2.4) = 0.0082

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multiplication

Step-by-step explanation:

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Daisy has a pitcher that can hold 1000
mash [69]

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4.2

Step-by-step explanation:

Divide 1000 by 236 and you will get that result.

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2 years ago
I need the equation for this ASAP!
Sindrei [870]

Answer:

5.714 liters of the 5% solution and 4.286 of the 40%.

Step-by-step explanation:

Let x be the volume of 40% solution and y = volume of the 5% solution.

x + y = 10

0.40x + 0.05y = 0.20(x + y)

From the first equation x = 10 -y so we have:

0.40(10 - y) + 0.05y = 0.20( 10 - y + y)

4 - 0.40y + 0.05y = 2

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y = 5.714 liters of the 5%.

and x =  10 - 5.714 = 4.286  liters of the 40% solution.

Step-by-step explanation:

8 0
3 years ago
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Determine the equation of the line that passes through the point (7, -23)and is perpendicular to the line y=1/3x-6Enter your ans
marishachu [46]

We have a line y = 1/3x -6

We want a line that is perpendicular to this line

Perpendicular lines have slopes that multiply to -1

1/3 * m = -1

3 * 1/3 *m = -1 * 3

m = -3

The slope of the perpendicular line is -3

y = mx+b where m is the slope and b is the y intercept

y = -3x+b

We have a point on the line ( 7 ,-23)

Substitute this point into the equation

-23 = -3(7)+b

-23 = -21+b

Add 21 to each side

-23+21 = -21+21+b

-2 = b

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In slope intercept form, the line perpendicular passing through (7,-23) is

y = -3x-2

3 0
1 year ago
What is the principal which would amount to $6900 in 3 years at 5% simple interest per annum?​
balu736 [363]

Answer:

$6000

Step-by-step explanation:

accumulated amount = A = PI

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Let P = x

6900 - I = x

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6900 - 0.15x = x

Add

6900 = 1.15x

Divide, solve for x

x = 6000

8 0
2 years ago
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