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3 years ago

From the statement select the related given statement. If B is between A and C, then AB + BC = AC

2 answers:

7 0

From the statement select the related given statement. If B is between A and C, then AB + BC = AC

answer
C.) Point B is between points A and C.

vova2212 [387]3 years ago

4 0

Answer:

C.) Point B is between points A and C.

Step-by-step explanation:

The simplest way to analyze this is as a line.

This line goes from A to C and somewhere in the middle, is B.

But they tell you that AB + BC = AC.

The distance from A to B plus the distance from B to C is the same as the distance from A to C.

Option A about planes is not the correct one because there's no mention of planes.

Option B about angles is not correct because they only talk about some points of a line. You don't know if there's some angle in between.

The same happed with options D and E.

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A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a

Sati [7]

Answer:

$P(X \geq0.55) \leq 0.22$

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

$Y=X_1+X_2+...+X_{100}$ is approximately normally distributed with

Y ~ N (100 × $\frac{1}{3^2}$ ) = N ( 50, $\frac{100}{9}$ )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, $\frac{100}{9}$ )

$P(Y>55) =P(Z>\frac{55-50}{10/3})$

$P(Y>55) =P(Z>1.5)$

$P(Y>55) =\phi (-1.5)$

$P(Y>55) =0.0668$

Using Chebyshev's inequality:

$P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}$

Let assume that X has a symmetric distribution:

Then:

$2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}$

$2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}$

$2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}$ where: ( $\sigma^2 = \frac{1}{3^2/100}$ )

$P(X \geq0.55) \leq 0.22$

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3 years ago

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adelina 88 [10]

Answer:

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3 years ago

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Anastasy [175]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

2b + 8 - 5b + 3 = - 13 + 8b - 5

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