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2 years ago

A circle has a circumference of 25.12 inches what is the diameter of the circle

Mathematics

1 answer:

BigorU [14]2 years ago

4 0

Answer:

Step-by-step explanation:

Recall these two equations for circumference and diameter.

Circumference = 2*pi*radius

Diameter = radius*2

25.12 = 2*pi*radius

Radius = 4

Diameter = 4*2 => 8

Thus the diameter is 8

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For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l

murzikaleks [220]

Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

$X_i \sim \frac{G_1}{2}$

$E(X_i)=2 \\$

$Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\$

$= \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2$

Now we calculate the $\bar X \sim N(2, \sqrt{\frac{2}{n}})\\$

$\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}} \sim N(0, 1)\\$

$\to \sum^n_{i=1} \frac{X_i - 2}{n} \times\sqrt{\frac{n}{2}}} \sim N(0, 1)\\\\\to \sum^n_{i=1} \frac{X_i - 2}{\sqrt{2n}} \sim N(0, 1)\\$

$\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\$

$\to P(-1 \leq X_n \leq 2) = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\$

$= 0.92 -0.24\\\\= 0.68$

6 0

2 years ago

In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did n

Viefleur [7K]

See the venn-diagram in the picture.

Hope this helps! Please consider marking me the Brainliest, it’s not necessary, but very much appreciated. Have a great day!

6 0

2 years ago

Two angles are supplementary. The first angle has 20 degreesmore the second angle. How ma y degrees are in each angle?

Vanyuwa [196]

Answer:

100 and 80

Step-by-step explanation:

Let x = be the first angle

x-20 is the second angle

They are supplementary so they add to 180

x+x-20 = 180

Combine like terms

2x-20 =180

2x-20+20 =180+20

2x= 200

Divide by 2

2x/2 = 200/2

x= 100

The first angle is 100 and the second is x-20

x-20 = 100-20=80

The two angles are 100 and 80

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2 years ago

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Akimi4 [234]

Answer:

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Step-by-step explanation:

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2 years ago

The length of a rectangle is 9 feet more than the width. If the perimeter is 198 feet, what are the length and width?

stiks02 [169]

THE PERSON BELOW ME OR ABOVE ME IS CORRECT

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1 year ago