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Fantom [35]
3 years ago
5

On Decemeber 18th, there is a 75% chance that Santa will come to the mall that day and a 55% chance that your best friend will b

e at the mall. There is a 40% chance that your best friend will be there AND Santa will come to that mall. What is the probability that Santa will come to the mall OR your best friend will be there?
Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

<u>The probability that Santa will come to the mall OR your best friend will be there is 47.4%</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that Santa will come to the mall on December 18th = 75%

Probability that your best friend will be at the mall on December 18th = 55%

Probability that Santa will come to the mall on December 18th AND your best friend will be there = 75% * 55% = 41.3% not just 40%

2.  What is the probability that Santa will come to the mall OR your best friend will be there?

For answering this question, we should calculate first the probability that Santa will not come to the mall on December 18th AND your best friend will not be there, this way:

Probability that Santa will not come to the mall on December 18th AND your best friend will not be there = 25% * 45% = 11.3%

Now, we know that the probability that Santa will come to the mall on December 18th AND your best friend will be there is 41.3% and the probability that Santa will not come to the mall on December 18th AND your best friend will not be there is 11.3%.

Therefore,  the probability that Santa will come to the mall OR your best friend will be there is:

100% - 41.3% - 11.3% = 100% - 52.6% = 47.4%

<u>The probability that Santa will come to the mall OR your best friend will be there is 47.4%</u>

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Which ordered pair in the form(x,y) is a solution of this equation?
Gnom [1K]

The ordered pair is (-2, -3)

Step-by-step explanation:

  • Step 1: To find whether an ordered pair is a solution, substitute values of x and y and see whether it satisfies the equation.

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

8 0
3 years ago
In a rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆P
allsm [11]
The rhombus has a couple of very interesting properties. The first is that the diagonals meet at 90o angles.

The second is that all the sides are congruent. That's actually the key to the problem (or one of them.

The third is that the diagonals are line segments that bisect the angles where the vertex of the angle is. 

So just to make sure you understand what that last statement means <PKM  =  <NKM
K is the vertex of angle PKN 

Now the really heavy duty stuff about your question.
Given
K is obtuse. Therefore <PKM can't be 16o because MKN would also have to be 16 degrees and together they don't add up to anything over 90o.
So the 16o angle is at <EPK

Remember that the diagonals meet at right angles. <PEK = 90o

Finally all triangles have 180o
< PKE = 180 - 16 - 90 = 74. So to review
<PKE = 74o
<EPK = 16o
<PEK = 90o That's one half the problem.

Moving on to triangle PMN
By the properties of parallel lines and a rhombus  and isosceles triangles, that since PKN is bisected (rhombus property) Then PKN = 2* PKM =2*74 = 148o
The angle opposite <PKN is equal to <PKN so <PMN = <PKN
Since PKN = 148 then PMN = 148
Since KPN = 16o then PMN = 16o
Since triangle <PMN is isosceles <PNM = 16o

Summing up 
PMN = 148o
MPN = 16o
MNP = 16o

That's both triangles solved. This is a really nice little problem. If you google properties of a rhombus, you will find all the properties I have used proven. 
 
5 0
3 years ago
Read 2 more answers
Please help me and no crazy answers!!!!!!
lisov135 [29]

<em>1</em><em> </em><em>I </em><em>do </em><em>not </em><em>know</em>

<em>2</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>is </em><em>so </em><em>hard</em>

<em>3</em><em> </em><em>i</em><em> </em><em>don't </em><em>know</em><em> </em><em>what</em><em> </em><em>is </em><em>the </em><em>answer</em><em />

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2 years ago
My Algebra 1 teacher is teaching us slope. Any tips and tricks?
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Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as th
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Answer:

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cost of sketch book = $ 6.82

cost of brush = $ 4.55

Step-by-step explanation:

Let the cost of paint set is s.

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cost of brush = s/3

Money spent = $ 28 - $ 3 = $ 25

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cost of sketch book = $ 6.82

cost of brush = $ 4.55

3 0
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