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ser-zykov [4K]
3 years ago
8

4. WILL MARK BRAINLIEST!!! HELP! ​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

\frac{5}{36}

Step-by-step explanation:

\frac{8}{9}-\frac{3}{4} =\\\frac{32}{36} -\frac{27}{36} =\\\frac{5}{36}

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You are in a traffic jam that is 7/8 mile long. The cars are in one lane bumper to bumper. The average length of a car is 0.003
KengaRu [80]

Answer:

Step-by-step explanation:

The average length of each car is

0.003 mile. The length of each car includes the bumper. The cars are in one lane. This means all the cars can be assumed to form a long line of cars that is uniform in length. This length is divided into equal lengths if cars.

The length of the traffic jam which is also the length of the line of is 7/8 = 0.875 mile long.

The number of cars would be in the that would be in the traffic jam will be length of the traffic jam/ length of each car. It becomes

0.875/0.003 = 292 cars

7 0
4 years ago
A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of t
Arturiano [62]

9514 1404 393

Answer:

  • boat: 48 km/h
  • current: 14 km/h

Step-by-step explanation:

The upstream speed is ...

  u = (204 km)/(6 h) = 34 km/h

The downstream speed is ...

  d = (372 km)/(6 h) = 62 km/h

The speed of the boat in still water is the average of these values:

  b = (34 kph +62 kph)/2 = 48 kph

The speed of the water is the difference between the boat's speed and the speed made good:

  w = 48 -34 = 14 . . . km/h

The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.

5 0
3 years ago
HELP ME WITH THIS PLEASE
ruslelena [56]

Answer:

2x+11=25

7

Step-by-step explanation:

I think of a number (x) and double it (multiply it by 2) and then add 11

put this all together and get

2x+11=25

Solve for x

2x=14

x=7

3 0
3 years ago
Read 2 more answers
Judy spent 1 hour 15 minutes less than sandy exercising last week sandy spent 50 minutes less than Mary who spent 3 hours at the
REY [17]

Judy spent 55 mins at gym.

Step-by-step explanation:

Let the time spent by Judy be 'J'

Let the time spent by Sandy be 's'

Mary spent 3 hours at gym.

Sandy spent 50 mins less than Mary

S = 3hours - 50 mins

S = 2 hours 10 mins

Judy spent 1 hour 15 mins less than Sandy.

J = S - 1hour 15 mins

J = 2 hours 10 mins - 1 hour 15 mins

J = 55 mins

Judy spent 55 mins at gym.

5 0
3 years ago
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam
Vlad [161]

Answer

P(A) = 0.30

P(B) = 0.77

P(A\ n\ B) = 0.22

P(A\ u\ B) = 0.85

Explanation:

Given

See attachment for proper data presentation

n = 100 --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

Yes = 22 and No = 8

n(A) = Yes + No

n(A) = 22 + 8

n(A) = 30

P(A) is then calculated as:

P(A) = \frac{n(A)}{Sample}

P(A) = \frac{30}{100}

P(A) = 0.30

Solving (b): P(B)

We only consider data in the Yes column.

Here:

(1) = 22    (2) = 25 and (3) = 30

n(B) = (1) + (2) + (3)

n(B) = 22 + 25 + 30

n(B) = 77

P(B) is then calculated as:

P(B) = \frac{n(B)}{Sample}

P(B) = \frac{77}{100}

P(B) = 0.77

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

n(A\ n\ B) = 22

The probability is then calculated as:

P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}

P(A\ n\ B) = \frac{22}{100}

P(A\ n\ B) = 0.22

Solving (d): P(A u B)

This is calculated as:

P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)

This gives:

P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}

Take LCM

P(A\ u\ B) = \frac{30+77-22}{100}

P(A\ u\ B) = \frac{85}{100}

P(A\ u\ B) = 0.85

7 0
3 years ago
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