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mario62 [17]
1 year ago
13

A man fires 8 shots at a target. Assume that the shots are independent, and each shot hits the bull's eye with probability 0.7.

a) What is the chance that he hits the bull's eye exactly 4 times? b) Given that he hit the bull's eye at least twice, what is the chance that he hit the bull's eye exactly 4 times? c) Given that the first two shots hit the bull's eye, what is the chance that he hits the bull's eye exactly 4 times in the 8 shots?]
Mathematics
1 answer:
andriy [413]1 year ago
4 0

Answer:

igkdjdjdidieklrddowor

Step-by-step explanation:

dkdkdkdkdkdkdkek

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Lauren spent 3/5 of her money on a refrigerator. The refrigerator cost $756. How much money did she have left?
Lelechka [254]
Fractions are the part/whole.  We can set this up to be...

3/5 = 756
756 x5/3 = 1260.

if she had 1260 to begin with and spent 756, she would have 504.00 left.
3 0
1 year ago
Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different wa
Ratling [72]
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>
7 0
2 years ago
Sonya and Isaac are in motorboats located at the center of a lake. At time t=0, Sonya begins traveling south at a speed of 36 mp
Rashid [163]

Answer:

the speed btn sonya and issac would make a right angled trangle hence easy 2 solve through pythogoras

{36}^{2}  +  {27}^{2}  = 2025

then find the

\sqrt[?]{?}

hence get 45

since it was 12 mins we need 2 multiply by 12

hence

45 \times 12 = 540

Therefore it's 540mph

6 0
1 year ago
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

7 0
2 years ago
FOR 14 POINTS Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she
Svetradugi [14.3K]

Answer:

<em>The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.</em>

Step-by-step explanation:

Given

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

Required

Spot the error in the viewer's calculation

The viewer represents the correct answers with x and the incorrect ones with y.

This implies that

x + y = 20

Also, for every correct answers, she gets 2 points;

<em>This can be represented by 2x</em>

and for every incorrect answers, she gets -1 point

<em>This can be represented by -y</em>

This implies that

2x - y = 28

This is where the viewer made a mistake

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

Solving further

2x - y = 28

x + y = 20

Add both equations together

2x + x + y - y = 28 + 20

3x = 48

Divide both sides by 3

\frac{3x}{3} = \frac{48}{3}

x = \frac{48}{3}

x = 16

Substitute x = 16 in x + y = 20

16 + y = 20

Subtract 16 from both sides

16 - 16 + y = 20 - 16

y = 20 - 16

y = 4

<em>This implies that the contestant answered 16 questions correctly and 4 questions incorrectly</em>

<em></em>

7 0
1 year ago
Read 2 more answers
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