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vlabodo [156]
3 years ago
6

Is quadrilateral DEFG a parallelogram? Why or why not?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

D ig?

Step-by-step explanation:

Because opposite angles are equal in parallelogram

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Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1
alexandr1967 [171]

Answer:

a) \simeq 0.3012   b) \simeq 0.0494 c) \simeq 0.2438

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, \frac{1.2}{4}

= 0.3 collisions per  month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

          P(X =x) = \frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}


                                                           for x ∈ N ∪ {0}

                       =  0 otherwise --------------------------------------(1)

here, \lambda = 0.3 collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

         P(X = 0) = \frac{e^{-0.3}\times {\0.3}^{0}}{0!}


                      \simeq 0.7408182207 ------------------------------------(2)

Now, since we are calculating  this for 4 months,

so, P(No collision in 4 month period)

     =0.7408182207^{4}

     \simeq 0.3012  -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

           P(X =1) = \frac{e^{-0.3}\times {\0.3}^{1}}{1!}


                      \simeq 0.2222454662 ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

                =0.2222454662^{2}

                \simeq 0.0494 -----------------------------------------(5)

1 collision in 6 months period means

                                \frac{1}{6} collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6]  (which is to be estimated)

=\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

\simeq 0.6543894283-------------------------------------------(6)

So,

P(1  collision in 6 month period)

  =  0.6543894283^{6}

   \simeq 0.0785267444 ------------------------------------------------(7)

So,

P(No collision in 6 months period)

  = (P(X =0)^{6}

   \simeq 0.1652988882 ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

\simeq  0.2438 ---------------------------------------------(9)          

7 0
3 years ago
If 18is 45% of a value what is the value
DedPeter [7]
To solve this, create an equation that follows 45% of a value is 18. This would look like x*.45=18. Now, solve for x, x*.45=18, divide by .45, x=18/.45=40, making your value 40. To check, plug in your value to the equation 40*.45=18 and see if it stays true.
8 0
3 years ago
Help would be appreciated ( Grade 4 homework )
saul85 [17]

9514 1404 393

Answer:

 (B)  4

Step-by-step explanation:

Consider the units column. The only sum of 3 and a single digit that will end in 1 is the sum ...

  3 + 8 = 11

This tells you A = 8, so the top number is 1983, and the middle number is B78.

Considering the first two columns, we know that 83 +78 = 161, so there must be a carry of 1 into the third column. That makes it have the sum ...

  1 + 9 + B = <something ending in 4>

We know the something cannot be 04 or 24, so must be 14. Then ...

  10 + B = 14   ⇒   B = 4

__

So, the whole sum is ...

  1983 +478 = 2461

and the letter values are ...

  • A = 8
  • B = 4
  • D = 2
3 0
3 years ago
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with reference to a universal set, the inclusion of a subset in another is relation which is a) symmetric only b) transitive onl
Vlad [161]

Answer:

D?

Step-by-step explanation:

I think it is D since a universal set would only be {1,2,3,4,5,6,...} and the subset would not satisfy any of the conditions of symmetric, transitive, and reflexive.

5 0
3 years ago
Carlton thinks that converting metric units is as easy as moving the ________​
fredd [130]

Answer:

  • Carlton thinks that converting metric units is as easy as moving the <u>decimal point</u>

Step-by-step explanation:

  • When you convert the unit, you move decimal point  on your answer from the left to the right or from the right to the left the number of places as per relevant prefix.

<u>Example: </u>

  • 1 meter = 1000 millimeters (1.0 m = 1000.0 mm)
  • 1 milligram = 0.001 grams ( 1.0 mg = 0.001 g)

<em>see attached for prefixes</em>

6 0
3 years ago
Read 2 more answers
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