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3 years ago

Find the circumference and round to the nearest hundredth

Mathematics

2 answers:

Natasha2012 [34]3 years ago

8 0

Answer:

The circumference of the purple circle is 28.27.

The circumference of the yellow circle is 43.98.

amid [387]3 years ago

6 0

the circumference is...

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Perform the indicated operation . Round the result to the nearest tenth and then to the nearest hundredth . Separate your answer

aleksandr82 [10.1K]

The answers are 26.9, 26.06

3 0

3 years ago

Write an equation in slope-intercept form (y = mx + b) , that perpendicular to y = 2x - 4 that passes through the point (3, - 3)

FromTheMoon [43]

Answer:

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 3)

y + 6/2 = -1/2x + 3/2

y = -1/2x - 3/2

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3 years ago

4 times a number is decreased by 9, the result is the same as when 15 is added to twice the number. find the number

igor_vitrenko [27]

Answer:

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x -2x

2x-9=15

2x=24

x=12

5 0

3 years ago

the ratio of the length of a rectangle to its width is 8 to 5. if the longer side of the rectangle is 20 ft, what is the length

expeople1 [14]

8/5 = 20/x
8x = 20(5)
8x = 100
x = 12.5

answer
length of its shorter side = 12.5 ft

8 0

3 years ago

Read 2 more answers

Suppose a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg,

lianna [129]

Answer:

(a) Probability that Y falls into the dangerous region is 0.0013.

(b) Probability that the mean Y-bar falls into the dangerous region is 0.00001.

Step-by-step explanation:

We are given that a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg, σ = 1 mg).

A dosage of 13 mg is considered dangerous.

Let Y = dosage of the active ingredient

The z-score probability distribution for normal distribution is given by;

Z = $\frac{ Y-\mu}{\sigma} } }$ ~ N(0,1)

where, $\mu$ = population mean = 10 mg

$\sigma$ = standard deviation = 1 mg

(a) Probability that Y falls into the dangerous region is given by = P(Y $\geq$ 13 mg)

P(Y $\geq$ 13 mg) = P( $\frac{ Y-\mu}{\sigma} } }$ $\geq$ $\frac{ 13-10}{1} } }$ ) = P(Z $\geq$ 3) = 1 - P(Z < 3)

= 1 - 0.9987 = 0.0013

The above probability is calculated by looking at the value of x = 3 in the z table which has an area of 0.9987.

(b) We are given that a dosage of 13 mg is considered dangerous. And we sample 49 capsules at random.

Let $\bar Y$ = sample mean dosage

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } }$ ~ N(0,1)

where, $\mu$ = population mean = 10 mg

$\sigma$ = standard deviation = 1 mg

n = sample of capsules = 49

So, Probability that the mean Y-bar falls into the dangerous region is given by = P( $\bar Y$ $\geq$ 13 mg)

P(Y $\geq$ 13 mg) = P( $\frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } }$ $\geq$ $\frac{13-10}{\frac{1}{\sqrt{49} } } } }$ ) = P(Z $\geq$ 21) = 1 - P(Z < 21)

= 0.00001

6 0

3 years ago