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Marizza181 [45]
3 years ago
10

Evaluate (3.5×10^13)-(1.4×10^12)/3×10^9

Mathematics
1 answer:
maw [93]3 years ago
7 0

Answer:

11,200

Step-by-step explanation:

At first we use "BODMAS" rule.

Given,

(3.5×10^13)-(1.4×10^12)/3×10^9

So, we will break the brackets at first. With the help of excel, we can get the desired result. The following images will show you the step-by-step result.

Use "Number" instead of "general" in the excel sheet. You can use calculator too.

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Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to
andrew-mc [135]

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

3 0
3 years ago
Simplify 1/4(12x-8)-(5x-1)
Ronch [10]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Which expression matches: 7 less than the product of 4 and 5
Marianna [84]

Answer:

4(5) -7

Step-by-step explanation:

4(5) -7

The product of 4 and 5 means that 4 and 5 are multiplied together.

"7 less than," means subtracting 7.

That means you get 4(5) - 7

4 0
3 years ago
Help please I only have a few minutes left and I Lee’s to be fast super fast‼️❤️
SOVA2 [1]

Answer:

The discounted price is $109. So the bike now cost $218.

Step-by-step explanation:

8 0
3 years ago
G) X-3 (x - 2) = 3 (2-x)​
Paraphin [41]
  • x - 3( x - 2 ) = 3 ( 2 - x )

Multiply 3 with x - 2 on LHS and 3 with 2 - x on RHS

  • or, x - 3x + 6 = 6 - 3x

Now take -3x to LHS and change its symbol to +. And take 6 to RHS and change it to negative.

  • or, x - 3x + 3x = 6 - 6

-3x and 3x will cancel out and also 6 and -6 will also get cancelled out.

  • or, x = 0

<u>Answer</u><u>:</u>

<u>x </u><u>=</u><u> </u><u>0</u>

Hope you could understand.

If you have any query, feel free to ask.

7 0
3 years ago
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