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2 years ago

A box contains 5 plain pencils and 7 pens. A second box contains 4 color pencils and 4

1 answer:

3 0

5:7 (pencils to pens)

7/12 chance that a pen from the first box will be selected.

4:4 (colour pencils to crayons)

4/8 = 1/2 chance that a crayon from the second box will be selected.

The probability of picking both:

7/12 * 1/2 = 8/24 = 1/3

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-17/30 write a fraction as a decimal

Whitepunk [10]

As a decimal the answer would be −0.566666666666667

7 0

2 years ago

PLEASE HELP!!

aev [14]

Answer:

D. No, because $P(A|B)=0.22$ and the $P(A) = 0.53$ are not equal.

Step-by-step explanation:

Given:

Probability of doing yard work is, $P(A)=53\%=0.53$

Probability of raining, $P(B)=68\%=0.68$

Probability of doing yard work and it raining is, $P(A\cap B)=15\%=0.15$

Now, two events A and B are independent if,

$P(A|B)=P(A);P(B|A)=P(B)$

Conditional probability of event A given that B has occurred is given as:

$P(A|B)=\frac{P(A\cap B}{P(B)}\\P(A|B)=\frac{0.15}{0.68}=0.22$

So, $P(A|B)=0.22\ and\ P(A)=0.53$

Since, $P(A|B)\ne P(A)$ , A and B are not independent events.

8 0

3 years ago

Tania has 56 liters of milk. She uses the milk to make muffins and cakes. Each batch of muffin requires 7 liters of milk and eac

Sophie [7]

Equally divide 56 into 2 halves. 28 liters. 28 liters for muffins and 28 liters for cakes.

(muffins require 7 liters) 28÷7= 4
(cakes require 4 liters) 28÷4=7
x= 4 batches of muffins
y= 7 batches of cakes.

4 0

3 years ago

A small aircraft flies a 2160-mi round trip in a 45 mi/h wind. Find the average rate of speed for the trip if the aircraft can f

jok3333 [9.3K]

9514 1404 393

Answer:

216 mi/h

Step-by-step explanation:

The time for the trip with the wind is ...

(1080 mi)/(225 +45 mi/h) = 4 h

The time for the trip against the wind is ...

(1080 mi)/(225 -45 mi/h) = 6 h

The average speed for the entire round trip is ...

(2160 mi)/(4 +6 h) = 216 mi/h

8 0

2 years ago

If 2cm rep 24 what length will be rep by 3cm

sergejj [24]

Answer:

Step-by-step explanation:

So 1cm rep = 24 ÷ 2 = 12

So 3cm rep = 12 x 3 = 36

3 0

2 years ago

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