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3 years ago

Find the probability that it is windy given it is rainy

Mathematics

1 answer:

Zina [86]3 years ago

8 0

The probability P(rain and wind) can be expressed as
                       P(R&W) = P(R) * P(W)
Should we use our given information, the following equation can be created and solved.
                                   0.9 * P(W) = 0.7
                                            P(W) = 0.777
P(W) = 0.78 = 78%. Thus, the answer is 78%

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The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of t

Bezzdna [24]

Solving:
$1.994*10^{-23}\:-\:1.67*10^{-24} = 
$
$(1.994 - 0.167 )*10^{-23}$
$\boxed{\boxed{1.827*10^{-23}\:grams}}\end{array}}\qquad\quad\checkmark$

4 0

3 years ago

What’s the simplest from of 21:28

Komok [63]

The simplest form of 21:28 is 3:4. you just divide both numbers by the greatest common factor.

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3 years ago

Read 2 more answers

Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results

Andrews [41]

Answer:

Step-by-step explanation:

Given that,

g(x, y) = 5 - (x - 3)² - (y + 2)²

Let find the grad of the function,

The grad of a function is defined as

∇g= ∂g/∂x •i + ∂g/∂y •j + ∂g/∂z •k

∇g = gx•i + gy•j + gz•k

gx = -2(x-3) = -2x+6

gy = -2(y+2) = -2y -4

∇g = (-2x+6) •i + (-2y-4)•j

We have a maximum or a minimum If g conservative, then, ∇g = 0i +0j

Then comparing this to the grad of the function

(-2x+6) •i + (-2y-4)•j = 0i +0j

Then, -2x+6 = 0

2x=6

x = 3

Also, -2y-4=0

-2y=4

y = -2

Then, g(x, y) = 5 - (x - 3)² - (y + 2)²

g(x, y) = 5 - (3 - 3)² - (-2 + 2)²

g(x, y) = 5

So the critical point is (3, -2, 5)

gx =-2x+6

Second derivative of gx with respect to x

gxx=-2

gy=-2y-4

Second derivative of gy with respect to y

gyy=-2

Second derivative of gx with respect to y

gxy =0

d =gxxgyy - (gxy)²

Then, gyy=gxx

d = -2×-2 -0²

d = 4-0=4

Since d>0

Since d is greater than 0, then, it is not a chair points.

Then, since gxx=-2<0, gyy=-2<0

Cause the second derivative in x (or in y) is less than zero, then the point is relatively maximum

So the maximum point is (3, -2, 5).

6 0

3 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

kramer

Answer:

Step-by-step explanation:

Use sine.

$sine=\dfrac{opposite}{hypotenuse}$

We have:

$opposite=x\\hypotenuse=16$

$\sin40^o\approx0.6428$ <em>look at the table in the picture</em>

Substitute:

$\dfrac{x}{16}=0.6428$ <em>multiply both sides by 16</em>

$x=10.2848\to x\approx10.3$

5 0

3 years ago

Draw a tree diagram to represent the following scenario. You choose a random letter from the word SANDWICH. How many possible ou

VARVARA [1.3K]

Probability helps us to know the chances of an event occurring. There are 8 different scenarios possible.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

For the given word SANDWICH, there are 8 different scenarios possible, which can be represented as shown below.

Hence, there are 8 different scenarios possible.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

8 0

2 years ago