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AveGali [126]
1 year ago
6

Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, -7, 0) with radius 10.

Mathematics
1 answer:
Romashka [77]1 year ago
7 0
The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2

Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)
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What is the greatest whole number that will divide both 792 and 990 exactly
Nastasia [14]
Factor the numbers, starting from the smallest:
792=2*3*3*11*4
990=2*3*3*11*5
the greatest whole number that can be divided by both 792 and 990 is 2*3*3*11=198
the smallest whole number that can divide both 792 and 990 exactly is 2*3*3*11*4*5=3960

Not sure which one you are asked to find. 
8 0
2 years ago
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​mars, inc. claims that​ 20% of its​ m&m plain candies are orange. a sample of 100 such candies is randomly selected. find t
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The probability p of an orangecandy is 0.2. The sample size = 100.
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The standard deviation is given by:
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4 0
2 years ago
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A race car driving under the caution flag at 40 feet per second begins to accelerate at a constant rate after the warning flag.
shtirl [24]

Answer:

t = 1.667 s

Step-by-step explanation

The distance traveled since the warning flag in feet is characterized by

d = 30*t^2 + 40*t

Where t is the time in seconds after the car starts accelerating.

We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.

We need to find the time for which the distance d = 150 ft

150 = 30*t^2 + 40*t     , t > =0

We can see that this value in the graph is approximately

t = 1.667 s

We can verify

30*(1.667)^2 + 40*(1.667 ) ≈ 150

7 0
2 years ago
There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2. what is the probability tha
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Standard deviations of the four activities of the critical path are 1,2,4,2.

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Standard deviation of critical path =\sqrt{1^2+2^2+4^2+2^2}

=\sqrt{1+4+16+4}

=\sqrt{25}

=5

Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.

That is, we need to find P(X<38) :

z=\frac{38-40}{5}= \frac{-2}{5}=-0.4

P(X

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Thus the probability that the project will be completed in 38 weeks is 0.34.

8 0
2 years ago
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Anyone know the answer??
olga_2 [115]
No. no i do not so yeah.
5 0
2 years ago
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