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3 years ago

Please show steps in solving: B/3 + B/4 + B/6 =

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

Answer:

= 3b/4

Step-by-step explanation:

= b . 4/12 + b . 3/12 + b . 2/12

Apply the fraction rule: a/c + b/c = a + b/c

= b . 4 + b . 3 + b . 2/12

= 4b + 3b + 2b/12

Add similar elements: 4b + 3b + 2b = 9b

= 9b/12

Cancel 9b/12: 3b/4

= 3b/4

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. In a given year, approximately 1% of all flights sched- uled to depart from US airports are canceled (source: Department of Tr

kari74 [83]

Answer:

The required probability of none of flights will be canceled is 0.90438

The probability that exactly one will be cancelled is 0.09135

The probability that no more than one of the flights will be canceled is 0.99573

Step-by-step explanation:

Consider the provided information.

Approximately 1% of all flights sched- uled to depart from US airports are canceled

A flight is cancelled (p) = 0.01

A flight is not cancelled (q) = 1-0.01 = 0.99

You select 10 flights at random.

According to the Binomial distribution: $P(X) = ^nC_x p^x q^{n-x}$

Part a. none of the flights will be canceled.

$P(X=0)=^{10}C_0 (0.01)^0 (0.99)^{10}=0.90438$

Hence, the required probability of none of flights will be canceled is 0.90438

Part b. exactly one of the flights will be canceled.

$P(X=1) = ^{10}C_1 (0.01)^1 (0.99)^{9}=0.09135$

Hence, the probability that exactly one will be cancelled is 0.09135

Part c. no more than one of the flights will be canceled.

$P(X\leq 1) = P(X=0)+P(X=1)\\P(X\leq 1)=0.90438+0.09135\\P(X\leq 1)=0.99573$

Hence, the probability that no more than one of the flights will be canceled is 0.99573

5 0

3 years ago

She's going to bake 12 batches of cookies. Each batch requires 1/8 cup of sugar. How many cups of sugar will grandma need for al

NikAS [45]

1.5 cups of sugar

>>

1/8 cup PER batch * 12 batches
(1/8)*12 = 1.5 cups

7 0

2 years ago

Eighteen is fifteen less than the product of a number and three .Find the number

Levart [38]

Answer:

x = 11

Explanation:

(x · 3 - 15) = 18

[ Step 1: Simplify both sides of the equation ]

x(3) − 15 = 18

3x + −15 = 18

3x − 15 = 18

[ Step 2: Add 15 to both sides ]

3x − 15 + 15 = 18 + 15

3x = 33

[ Step 3: Divide both sides by 3 ]

3x / 3 = 33 / 3

x = 11

6 0

3 years ago

I need help on this math question

pashok25 [27]

Take cost divide by total ex. 650 divided by 1560 is ur percentage after u multiply by 100

8 0

4 years ago

T = i/pr is what formula?

irina [24]

Step-by-step explanation:

it is the formula to calculate the time

in the formula

t = I / pr

t stands for time.

I stands for interest.

p stands for principal.

r stands for rate.

Hope it helps. :)

5 0

3 years ago