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3 years ago

If (m, −3) is on a circle with center (2, −3) and radius 7, what is a value of m?

1 answer:

3 0

Ok so
distance from (m,-3) to (2,-3) is 7 units

since the y value is the same, we don't even need to use distance formula

see how far 7 units from 2 is
-5 or 9
m can be -5 or 9
the point can be (-5,-3) or (9,-3)

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U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:

Alisiya [41]

Answer:

(a) P (U and V) = 0.

(b) P (U|V) = 0.

Step-by-step explanation:

Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,

$P (A\cap B) = 0$

Given:

Events U and V are mutually exclusive.

P (U) = 0.27 and P (V) = 0.56

(a)

As events U and V are mutually exclusive, the probability of their intersection will be 0.

That is,

$P(U\ and\ V) = P (U\cap V) = 0$

Thus, the value of P (U and V) is 0.

(b)

The conditional probability of event B given A is:

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

Compute the value of P (U|V) as follows:

$P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0$

Thus, the value of P (U|V) is 0.

(c)

The probability of the union of two events, say A and B, is

$P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Compute the value of P (U or V) as follows:

$P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83$

Thus, the value of P (U or V) is 0.83.

7 0

3 years ago

Read 2 more answers

(7,9) has a slope of 1. Write equation in slope intercept form

Nadya [2.5K]

Step-by-step explanation:

Here, slope of the line (m) = 1

Here, slope of the line (m) = 1And, the line passes through the point (7,9)

Equation of the line is given by 

y - y1 = m ( x - x1 )

y - 9 = 1( x - 7)

y - 9 = x -7

x -7+9-y = 0

x - y + 2 = 0 

 is the required equation of the line. 

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3 years ago

Alison has $4 less than twice the amount Ben has. Which expression represents Alison’s amount if Ben has m dollars?

fredd [130]

Answer:

2m-4

Step-by-step explanation:

because she has double his amount (2*m) but $4 less therefore 2m-4

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3 years ago

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What is the remainder when 14,952 is divided by 41? Is the answer, 28, 29 or 30, or 31?

Bas_tet [7]

Answer:

Step-by-step explanation:

49*364= 14924

14952 - 14924= 28

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3 years ago

A square is sometimes a rhombus

Veseljchak [2.6K]

Answer:

This would be true.

Step-by-step explanation:

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