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ddd [48]
3 years ago
9

one mile is about 1.61 kilometers. volcano Mauna Kea is 120 kilometers wide. what is the width of the volcano in miles, rounded

to the nearest tenth?
Mathematics
1 answer:
mezya [45]3 years ago
3 0
\frac{1}{1.61} = \frac{x}{120}  \\  \\ 1*120=1.61*x \\  \\ 120=1.61x \\  \\ 74.5=x

74.5 miles
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Suppose rain is falling at an average rate of 30 drops per square inch per minute. What is the chance that a particular square i
borishaifa [10]

Answer:

Therefore the chance that a particular square inch is not by any drops during a given 10 second period is e^{-5a}.

Step-by-step explanation:

Poisson distribution:

P(X=x)= \frac{e^{-\lambda t} (\lambda t)^x}{x!}

Given that rain is falling at an average rate 30 drops per square inches per minutes.

A reasonable choose of this distribution is Poisson distribution (\lambda t).

Let the area be a square inch.

Here  \lambda = average rate of rain drop × area

           =(30×a)= 30 a      

t = 10 second = \frac{10}{60} \ minutes  =\frac16\ minutes.

Therefore,

P(\textrm {no rain drop in }\frac16 \ minutes) =P(X=0)

                                               =\frac{e^{-\frac{30a}{6}}.(\frac{30a}{6})^0}{0!}

                                              =e^{-5a}

Therefore the chance that a particular square inch is not by any drops during a given 10 second period is e^{-5a}.

6 0
3 years ago
Translate the phrase into an algebraic expression <br> The sum of y and 3
nexus9112 [7]
It would be y+3. This is written as an algebraic expression.
8 0
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Graph the following state and show the a h and k values. <br> y=2(x+3)^2-4
Arte-miy333 [17]
This equation is in vertex form. Vertex form is y=a(x-h)^2+k, where (h,k) is the vertex. In this equation, h= -3, and k= -4. So, the vertex would be at (-3,-4). A tells us if the parabola will be positive or negative. In this case, it is positive, so the parabola opens upward. Then, you can solve for x-intercept by letting y=0 and solving for x. Then, you can find the y-intercept by setting x=0 and solving for y. Finally, graph the parabola.

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3 years ago
(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must
lions [1.4K]

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

7 0
3 years ago
A system of equations is shown below.
prisoha [69]

Given:

The system of equations is

y=1.5x-3

y=1.5x+4

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is the slope and b is the y-intercept.

We have,

y=1.5x-3

y=1.5x+4

On comparing these two lines with slope intercept form, we get

m_1=1.5,b_1=-3

m_2=1.5,b_2=4

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

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3 years ago
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