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3 years ago

I need to know the volume

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

Answer:

105 mm^3

Step-by-step explanation:

The volume formula for a triangular prism is (height x base x length) / 2.

(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3

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Hillary leaves Point A traveling due east at a constant speed of 40 miles per hour. After Hillary has driven 22 miles, her broth

Marrrta [24]

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5 0

3 years ago

Suppose two events A and B are mutually exclusive, with P(A) ≠ 0 and P(B) ≠ 0. By working through the following steps, you'll se

DanielleElmas [232]

Answer with Step-by-step explanation:

We are given that two events A and B are mutually exclusive.

$A\cap B=\phi$

$P(A\cap B)=0$

$P(A)\neq 0$

$P(B)\neq 0$

a.For mutually exclusive events,

$P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{P(A)}=0$

Therefore, event A can not occurred if event B has occurred because two events can not occur together.

Answer:No, by definition mutually exclusive events cannot occur together.

b.When two events are independent

Then , $P(A\cap B)=P(A)\cdot P(B)$

$P(A/B)=\frac{P(A)\cdot P(B)}{P(B)}=P(A)$

If two events are mutually exclusive then

$P(A\cap B)=0$

Then , $P(A/B)=0$

Therefore, $P(A/B)\neq P(A)$

Hence, we can concluded that events A and B are not independent if they are mutually exclusive.

Answer:Yes, $P(A/B)\neq P(A)$

7 0

3 years ago

If A is an n× n matrix, then det A = det AT . Verify this theorem for 2 × 2 matrices.

Bond [772]

Answer:

Verified

Step-by-step explanation:

Let A matrix be in the form of

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Then det(A) = ad - bc

Matrix A transposed would be in the form of:

$\left[\begin{array}{cc}a&c\\b&d\end{array}\right]$

Where we can also calculate its determinant:

det(AT) = ad - bc = det(A)

So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices

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3 years ago

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Alexxandr [17]

Answer:

The answer is 4 + 3/6 + 2/6

Step-by-step explanation:

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3 years ago

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blagie [28]

Hello !

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3 years ago