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zmey [24]
3 years ago
8

Compute the probability of the event E1 that Bob wins in a duel against Eve alone, assuming he shoots first. (Hint: Let x be the

probability Bob wins in a duel against Eve alone, assuming he fires first. If Bob misses his first shot and then Eve misses her first shot, what is the probability Bob wins in terms of x
Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer: Hello your question is incomplete attached below is the missing

n ( 1 + n )

Step-by-step explanation:

P( Bob hits target ) = 1/3

P( Eve hits target ) = 2/3

P( Carol hits target ) = 1

<u>Compute the P that Bob wins in a duel against Eve alone</u>

P(Bob hits the target in first shot ) = n = 1/3

P(Bob hits the target in second shot ) = n^2 = ( 1/3 * 1/3 ) = 1/9

hence the probability of Bob winning( i.e. P( Bob wins Event E1  ) = n + n^2 = n ( 1 + n )

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Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =
malfutka [58]

Answer: f(x)=2x^2+5

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

f(0)=5=2(0^2)+C=C

Therefore, the integration constant 'C' must equal 5. This means that our function is:

f(x)=2x^2+5

6 0
2 years ago
Can someone plz plz plz help me choose an answer for this idk what it is
shepuryov [24]

Answer:

Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)

Step-by-step explanation:

We need to find the largest number ins scientific notation.

The number which has highest degree would be the largest.

In the given options, Diameter of Sun has highest power i.e 10⁹

All other options have lower degrees.

So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)

4 0
2 years ago
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets t
Alexeev081 [22]

Answer:

Choice B) No.

Step-by-step explanation:

When she starts , she does a sit-up every 222 seconds.

But as she gets tired, each sit-up takes longer and longer to do.

It means, each sit-up takes more time than she did at beginning.

So, it is NOT proportional to the time.

If it is proportional, she should take constant number of sit-ups even she get tired.

7 0
3 years ago
Help, please. I just need an answer, so if anyone is bored, for the love of god please... ​
Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em>y-y_1=m(x-x_1)

y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

-\frac{3}{4}x+y=1

If we multiply the whole equation by -4, we can get rid of the fraction.

-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4

Hence, option B is also correct.

7 0
1 year ago
The bases of the trapezoid are 6 and 10. The height is 4. Find the area.
ollegr [7]
Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

A = \frac{1}{2} (b_{1} + b_{2}) \times h

We substitute the given values into the formula to obtain;

A = \frac{1}{2}(10 + 6) \times 4

Simplify

A = \frac{1}{2} (16) \times 4

A = 16 \times 2
Hence the area is

A = 36 \: sq \: units
6 0
3 years ago
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