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Grace [21]
2 years ago
10

Captain Emily has a ship, the H.M.S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band

of thieves. If her ship hasn't already been hit, Captain Emily has probability \dfrac{3}{5} 5 3 ​ start fraction, 3, divided by, 5, end fraction of hitting the pirate ship. If her ship has been hit, Captain Emily will always miss. If her ship hasn't already been hit, dread pirate Umaima has probability \dfrac{1}{7} 7 1 ​ start fraction, 1, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Umaima will always miss. If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that the pirate misses the Captain's ship, but the Captain hits?
Mathematics
1 answer:
LenaWriter [7]2 years ago
5 0

Answer:

The probability that the pirate misses the captain's ship but the captain hits = 0.514

Step-by-step explanation:

Let A be the event that the captain hits the pirate ship

The probability of the captain hitting the pirate ship, P(A) = 3/5

Let B be the event that the pirate hits the captain's ship

The probability of the pirate hitting the captain's ship P(B) = 1/7

The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)

P'(B) = 1 - 1/7 = 6/7

The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7

= 0.514

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Robbie Morse has a $47,500 insurance policy. The annual premium is $987.53. Robbie pays $90.00 monthly.
marin [14]

Answer:

Robbie pay in twelve months $1080 .

$92.47 more Robbie pay and 9.36 %(Approx) Robbie pay.

Step-by-step explanation:

As given

Robbie Morse has a $47,500 insurance policy.

The annual premium is $987.53.

Robbie pays $90.00 monthly.

First find out the Robbie pay in twelve months .

Robbie pay in twelve months = 12 × 90

                                                  = $ 1080

Second find out how much more does Robbie pay .

Robbie pay extra = Robbie pay in twelve months -  annual premium

                             = $ 1080 - $987.53

                             = $92.47

Therefore the $92.47 more Robbie pay .

Third find out the what percentage does Robbie pay .

 Formula

Percentage = \frac{Robbies\ pay\ more\times 100}{annual\ premium}

Robbies pay more = $92.47

Annual premium = $987.53

Put in the above

Percentage = \frac{92.47\times 100}{987.53}

Percentage = \frac{9247}{987.53}

Percentage = 9.36 % (Approx)

9.36 %(Approx) Robbie pay.


7 0
2 years ago
Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dolla
lora16 [44]

Their money rate is the same as ours so  $150- 20= $ !30

3 0
1 year ago
Read 2 more answers
kinsey earns $54,625 a year. she purchases a snowmobile for $12,005. how much of kinsey's yearly earnings does she have left?
pickupchik [31]
The answer would be $42,620. All you have to do is subtract.
8 0
1 year ago
Read 2 more answers
I need to increase the number of customers by 20% daily, I talk to an average of 8 customers per hour during an 8 hour shift so
MA_775_DIABLO [31]

Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.


current no. = 8

goal = 8 + 20%

20% = 8 x 0.20

(a percent is really just a fraction with the percent number over 100)

20% = 1.60

goal = 8 + 1.60

goal = 9.60


However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.

6 0
2 years ago
Read 2 more answers
Wyatt solved the following equation:
NikAS [45]

Answer:

<u>Option B</u>

Step-by-step explanation:

The question is as following:

x+\frac{1}{2} (6x-4) =6

Step Work Justification

1 2x + 6x − 4 = 12

2 8x − 4 = 12

3 8x = 16

4 x = 2

Which of the following has all of the correct justifications Wyatt used to solve this equation?

A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.

D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality

<u />

<u>The answer:</u>

Step Work Justification

multiply both sides by 2

1) 2x + 6x − 4 = 12 ⇒  {Multiplication property of equality}

{Combine like terms}

2) 8x − 4 = 12 ⇒

Adding 4 both sides

3) 8x = 16       ⇒ {Addition property of equality}

divide both sides by 8

4) x = 2           ⇒ {Division property of equality}

The answer is option B

(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

6 0
2 years ago
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