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worty [1.4K]
3 years ago
8

An airline claims that 90% of the time, its planes are on schedule. If three flights are selected at random, what is the probabi

lity that the first two are on schedule and the third one is not on schedule?

Mathematics
1 answer:
serg [7]3 years ago
8 0
1. Check the tree diagram in the picture attached.

2. The blue segment represents "on time"
    The red segment represents "not on time"


3. blue - blue - red represents the case 1st on time, 2nd on time, 3rd not on time.

the combined probability is 90/100*90/100*10/100=9/10*9/10*1/10=99/1000=0.099

4. Remark with a tree diagram we can tell anything asked about the probability of an experiment.

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If W(-10, 4), X(-3, -1), and Y(-5, 11) classify ΔWXY by its sides. Show all work to justify your answer.
solniwko [45]

Given:

The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).

To find:

Which type of triangle is ΔWXY by its sides.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

WX=\sqrt{(-3-(-10))^2+(-1-4)^2}

WX=\sqrt{(-3+10)^2+(-5)^2}

WX=\sqrt{(7)^2+(-5)^2}

WX=\sqrt49+25}

WX=\sqrt{74}

Similarly,

XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}

WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}

Now,

WX=WY

So, triangle is an isosceles triangles.

and,

WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2

WX^2+WY^2=74+74

WX^2+WY^2=148

WX^2+WY^2=(2\sqrt{37})^2

WX^2+WY^2=WY^2

So, triangle is right angled triangle.

Therefore, the ΔWXY is an isosceles right angle triangle.

3 0
2 years ago
David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and
Agata [3.3K]
The correct quadratic equation;
x2+7x-2=0

Working
Assuming the frame has a uniform thickness;
Then length of mirror and frame is 3+x and width 2+x

The area of mirror and frame area;
A=L*W
8=(3+x)(2+x)
8=(6+5x+x2)
Taking 8 to the Right hand side, we have:
x2+5x-2 =0 
4 0
3 years ago
Read 2 more answers
What's 5.78,-5 7/8,-5.9 from least to greatest?
blagie [28]
-5.9, -5 7/8, 5.78 because negative is less than zero and 7/8= .850 :)
3 0
2 years ago
In a recent​ survey, two-thirds of the 234 students in a freshman class said they watch television shows on their computer. Dete
Mkey [24]
All you would have to set up is 234  x  2/3
3 0
2 years ago
HELP <br> Give the slope ofleach line. Also, state if the lines are parallel (yes or no).
SpyIntel [72]

Answer:

The lines are parallel, and their slope is 1/3.

Step-by-step explanation:

Slope = Rise/Run

Rise tells us the distance between the two points on the y-axis and the run tells us the distance between the two points on the x-axis.

For Line 1, the rise is one unit and the run is three units. Therefore, the slope is 1/3.

For Line 2, the rise is one unit and the run is three units. Therefore, the slope is also 1/3.

Hope this helps!

5 0
3 years ago
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