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olga_2 [115]
3 years ago
5

a scuba diver, who was 25 2/3 feet beneath the surface of the water, descended 5 1/2 feet. from this depth, how many feet must t

he diver rise to return to the surface?
Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

31 1/6 feet

Step-by-step explanation:

add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6

25 4/6 + 5 3/6 = 30 7/6

30 7/6 is the same as 30 + 1 1/6 so diver must ascend 31 1/6 feet

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See image for question.​
Ostrovityanka [42]

Answer:

  • See below

Step-by-step explanation:

#3

  • P(A) = 3/8
  • P(B) = 2/7

(i)

  • P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28

(ii)

  • P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56

(iii)

  • P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56

<u>Another way:</u>

  • P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56

#4

Outcomes with two fair coins: TT, TH, HT, HH

Outcomes with normal dice: 1 to 6

a)

  • P(odd number) = 3/6 = 1/2

b)

  • P(two heads and an even number) = 1/4*3/6 = 1/8

c)

  • P(head and tail) = 1/2
  • P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
  • P(head, tail and prime) = 1/2*1/2 = 1/4

d)

  • P(two tails and odd number) = 1/4*3/6 = 1/8
4 0
2 years ago
A region is bounded by y=e−3x, the x-axis, the y-axis and the line x = 3. If the region is the base of a solid such that each cr
grigory [225]

Answer:

0.333\pi units³

Step-by-step explanation:

Think process:

The equation is given as y = e^{-3x}

Let, y = f (x)

Therefore, f (x) = e^{-3x}

We know that the limits are y-axis and x= 3

Y-axis: x= 0

then limits are given as x= 0 and x = 3

Integrating  gives:

\int\limits^3_0 {e^{-3x} } \, dx = \frac{-1}{3}e^{-3x} + C

calculating from x= 0 to x = 3, we know volume is given by \pi \int\limits^a_b {f(x)} \, dx

= \pi[ \frac{-1}{3} e^{-9}  - (\frac{-1}{3} e^{0})]

= \pi[0.000041136 + 1/3]

= 0.333\pi units³

8 0
3 years ago
3x-y= 7<br> 2х + Зу = 12<br> Can anyone help me with this answer please?
wlad13 [49]

Answer:

what are these teachers teaching yall. dang bruh i hope you get the answer soon.

Step-by-step explanation:

are you good at english?

7 0
2 years ago
Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?
Sonbull [250]

Given,

Side = 7 cm

We know that,

Volume of a cube = side³

So, volume of Harry's cube

= (7 cm)³

= 343 cm³

3 0
3 years ago
Maggie spent $50 buying 11 magazines.Some of the magazines cost $4 and the rest cost $5.How many $5 magazines did she buy?
antiseptic1488 [7]

Answer: She bought 6 $5 magazines and 5 $4 magazines

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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