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ANTONII [103]
3 years ago
8

Select the correct answer from each drop-down menu.

Mathematics
2 answers:
suter [353]3 years ago
6 0

Answer with explanation:

Coordinates of vertices of A, B and C are =(1,1),(2,3), and ,(2,1).

→When Triangle ABC , is reflected across X- axis

Coordinates of Vertex A, B and C after reflection=(1,-1), (2,-3) and (2,-1).

→Now, the triangle ABC, is rotated by 90 degrees in clockwise Direction

When a point , (h,k) is rotated by 90 degree, the coordinates of image will be , (k, -h).

So,  Coordinates of Vertex A, B and C after  rotated by 90 degrees in clockwise Direction=A"(-1,-1), B"(-3,-2), C"(-1,-2).

→When , A"(-1,-1), B"(-2,-3), C"(-1,-2) is reflected across the line, y=c :

These Points lies in third Quadrant.So, after reflection through line, y=c,triangle will go in the second Quadrant.So, the coordinates of vertices of ΔABC  will be

A'(-1,1)

B'(-2,3)

C'(-1,2)

nydimaria [60]3 years ago
4 0
<span>the coordinates of vertex A = (1,1)
</span><span>the coordinates of vertex B = (2,3)
</span><span>the coordinates of vertex C = (2,1)

</span>
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Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each
julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}

a)

P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2) . And

P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0
3 years ago
A)180.48 m2<br><br> B)180.48 m<br><br> C)80.48 m2<br><br> D)80.48 m
MissTica

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

4 0
2 years ago
Simplify 9 exponent 2
STatiana [176]

Answer:

81

Step-by-step explanation:

9^2 = 81 bc 9x9=81

3 0
3 years ago
Write the equation of the line with the given slope and the given point.<br><br> y = ?
Naddika [18.5K]

Answer:

y=x+8

Step-by-step explanation:

y=x+b

That is the equation with only the slope, however, we can use the point (-4,4) to find the y-intercept

4=-4+b

Add 4 both sides:

8=b

Thus the equation is y=x+8

Hope this helps!

3 0
2 years ago
Read 2 more answers
Solve:7 +42-32-32 = 14.3-2a +7<br> A = -3<br> A= 0<br> A= 3<br> no solution
madreJ [45]

Answer:

a = 18.15

Step-by-step explanation:

7+42-32-32=14.3-2a+7

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.

Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)

  1. Parentheses
  2. Exponents
  3. Multiplication
  4. Division
  5. Addition
  6. Subtraction

-15=14.3-2a+7

After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.

-15=21.3-2a

Get -2a alone by subtracting 21.3 from both sides.

-36.3=-2a

Divide both sides by -2.

a=18.15

In this equation, a should equal \boxed{18.15}.

5 0
3 years ago
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