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alina1380 [7]
3 years ago
12

What is the vertex of r(x) ? Use r(x)=1/2(x+9)(x-5)

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

(0, -[\frac{45}{2})

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The automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 m above the groun
kirill115 [55]

Step-by-step answer:

Given:

mean, mu = 200 m

standard deviation, sigma = 30 m

sample size, N = 5

Maximum deviation for no damage, D = 100 m

Solution:

Z-score for maximum deviation

= (D-mu)/sigma

= (100-200)/30

= -10/3

From normal distribution tables, the probability of right tail with

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is 0.9995709, which represents the probability that the parachute will open at 100m or more.

Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.

P(all five safe) = 0.9995709^5 = 0.9978565

So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m

6 0
3 years ago
What are the coordinates of the circumcenter of a triangle with vertices A(0,1), B(2, 1) , and C(2, 5) ?
KatRina [158]
The circumcenter is where the perpendicular bisectors meet.
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one perpendicular bisector is x=1, another perpendicular bisector is y=3
they meet at (1,3)
so (1,3) is the answer. 
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3 years ago
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Kaylis [27]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Points that lie on the function h(x) = 3x 2
Nat2105 [25]

Answer:

To see all the points that lie on the equation

h(x) = 3*x^2

We use a graphing calculator, to plot the function h(x)

Please see attached image for more information.

We can see in red all the points  that lie on the function. There are an infinite number of points in it.

5 0
3 years ago
What's 9 + 10-4 + 78 ​
Zarrin [17]

Answer:

93

Step-by-step explanation:

78+9+(10-4)=

78+9+6=

93

3 0
3 years ago
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