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Naddik [55]
3 years ago
6

If a denotes some​ event, what does upper a overbara ​denote? if ​p(a)equals=0.9930.993​, what is the value of ​p(upper a overba

ra​)? if ​p(a)equals=0.9930.993​, is upper a overbara ​unlikely?
Mathematics
1 answer:
masya89 [10]3 years ago
5 0
P(A) = 0.993 is the probability of event A
    _
P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)

Then, use the fact that the probability of A plus the probability not A is equal to 1:
                    _
=> P(A) + P(A) = 1
         _
=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007

So, the answers are:
        _
1) P(A) = 0.07
             _
2) Yes, A is unlikely because its probability is very low.
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Joshua's math textbook weighs 43.21 ounces. His social studies book weighs 38.99 ounces. What is the difference in weight betwee
Nuetrik [128]
43.21-38.99=4.22

the difference is 4.22 ounces in weight.

































4 0
2 years ago
A penguin is standing 3 feet above sea level and then<br> dives down 10 feet. What is its depth?
ValentinkaMS [17]

Answer:

7 feet below sea level

Step-by-step explanation:

he was at 3 then you subtract 10 feet because he dives.

7 0
3 years ago
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specialty T-shirts are being sold online for $30 each plus a one-time handling fee of $2.75 . The total cost is a function of th
myrzilka [38]

30(5)+2.75=152.75

The answer is D.

30t +2.75; 152.75

5 0
3 years ago
Write 5 and 2/5 as a decimal
Alenkasestr [34]

Answer:

5.4.

Step-by-step explanation:

If we divide 2 by 5 we get 0.4

So 5 and 2/5 = 5.4

7 0
3 years ago
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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
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