1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeTakaya
3 years ago
13

Captain Tiffany has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Omar and his merciless band of thiev

es. The Captain has probability \dfrac{1}{2} 2 1 ​ start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

1/7

Step-by-step explanation:

The probability that the Captain hits is \dfrac{1}{2}

2

1

​

start fraction, 1, divided by, 2, end fraction.

The probability that the pirate hits is \dfrac{2}{7}

7

2

​

start fraction, 2, divided by, 7, end fraction.

1/2 x 2/7 = 1/7

You might be interested in
What’s the area of the trapezoid
Aloiza [94]

The answer is B. 132 in2

3 0
3 years ago
Read 2 more answers
The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, start text, c, m, end text from the floor. Ignacio sits in
sasho [114]

Answer:

r

Step-by-step explanation:

<u>Function Modeling</u>

The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 4.8r. The total distance of his legs from the floor is then:

49.3+4.8r

This distance cannot reach or exceed 74.5 cm, thus

49.3+4.8r

Solving for r

\displaystyle r

Or, equivalently

\boxed{r

8 0
3 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
wel
X+y=24 so we can say

x=24-y making 3x+5y=100 become

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.
6 0
3 years ago
Read 2 more answers
According to the fundamental theorem of algebra how many roots exist for the polynomial function f(x)=8x^7-x^5+x^3+6
mojhsa [17]

Answer:

7

Step-by-step explanation:

This is a 7th degree polynomial.  There should be 7 roots.  Note how degree of poly = number of roots.

5 0
3 years ago
Read 2 more answers
A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa
tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0
3 years ago
Other questions:
  • Which of the following is a perfect square? <br> A 169 <br> B 279 <br> C 154 <br> D 115
    6·2 answers
  • What is two thirds minus three fourths
    6·1 answer
  • How to do quadratic formula
    8·1 answer
  • What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out. 1. How many repeati
    13·1 answer
  • Margaret bought 1,575 grams of rice. how many kg of rice is that?
    15·2 answers
  • In which quadrant are all coordinates positive?<br><br> I<br> II<br> III<br> IV
    9·2 answers
  • Mark had 5 dimes, 8 nickels, and 7 pennies. He lost 3 dimes, 2 nickels, and 6 pennies. How much money does he have left?
    11·1 answer
  • Use the data in this stem-and-leaf plot to answer the question.
    5·1 answer
  • If f2 + square root of 3 is a polynomial root, name another root of the polynomial, and explain how you
    5·1 answer
  • Here is a rectangle of area 8sq. cm. a) Draw 2 straight lines in this rectangle to divide it into 1 rectangle and to equal trian
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!