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Ira Lisetskai [31]
3 years ago
9

Parking on campus is often expensive, and it is tempting to park illegally and take your chances on getting a ticket. From past

experience, the probability of getting a ticket is about 0.30 on any given day, and because you always change your parking location, each day's outcome is independent of the previous day's outcome. The probability that you will NOT get a ticket on two days is
Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

P(not getting a ticket for 2 days) = 0.49

Step-by-step explanation:

We are told that the probability of getting a ticket on any given day is 0.3.

Thus;

P(getting a ticket a day) = 0.3

This means that;

P(not getting a ticket a day) = 1 - 0.3 = 0.7

Now, 0.7 is probability of not getting a ticket for 1 day. Since each day's outcome is independent of the previous day's outcome, it means that for n days, probability of not getting a ticket for n days will be;

P(not getting a ticket for n days) = 0.7ⁿ

For 2 days, its = 0.7² = 0.49

Thus;

P(not getting a ticket for 2 days) = 0.49

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Circle O is shown below. The diagram is not drawn to scale? If Angle r is 32, what is angle O?
liubo4ka [24]
We have to find the measure of angle O.
We already know that ∠R = 32°.
The measure of the inscribed angle ( here ∠ R ) is half the measure of the central angle ( here ∠ O ).
Therefore:
∠ O = 2 · 32° = 64°
Answer:
B ) 64°
5 0
3 years ago
Suppose a principal amount of $2079 were invested into a simple interest account that pays an annual rate of 2.31% then the amou
Anna35 [415]

Answer:

The amount of interest earned at the end of 14 years would be $672.3486

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

P = 2079, I = 0.0231, t = 14

So

E = 2079*0.0231*14 = 672.3486

The amount of interest earned at the end of 14 years would be $672.3486

4 0
3 years ago
Suppose the line of best fit for some data points has a slope of 4.915. If the mean of the x-coordinates of the data points is 1
aleksley [76]

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For a line of best-fit, the y-intercept is given by:

b = \overline{y} - m\overline{x}

The parameters in this problem are given as follows:

m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088

Then:

b = 10.088 - 4.915(14.347) = -60.428

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
2 years ago
The sum of 4 times a number and 8 is equal to 5.
Anna007 [38]
Algebraic expression: 4n + 8 = 5
5 0
2 years ago
(1 point) The intensity of light at a depth of x meters below the surface of a lake satisfies the differential equation dIdx=(−1
snow_tiger [21]

Answer:

0.573 m

Step-by-step explanation:

a. To find the depth, x, we first solve the differential equation to find the expression for I  

dI/dx = (-1.21)I

dI = (-1.21)Idx

dI/I = -1.21dx

Integrating both sides, we have

∫dI/I = ∫-1.21dx

㏑I = -1.21x + C

I = exp(-1.21x + C)

I = exp(-1.21x)exp(C) Let exp(C) = A

I =Aexp(-1.21x)

when x = 0, I = L. Substituting these into the equation, we have

L = Aexp(-1.21 × 0)

L = Aexp(0)

L = A

So, I = Lexp(-1.21x)

we want to find x when I = L/2.

So, L/2 = Lexp(-1.21x)

1/2 = exp(-1.21x)

-1.21x= ㏑(1/2)

-1.21x= -㏑2

x = -㏑2/-1.21

x =  0.693/1.21

x = 0.573 m

6 0
3 years ago
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