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Georgia [21]
2 years ago
10

The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee

d of the boat in still water and the speed of the current.
Mathematics
1 answer:
adoni [48]2 years ago
4 0

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

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2 years ago
Three paths intersect to form a right triangle as shown here. The path from the picnic area to the fountain is 500 yards. The pa
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400 yd

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It's a 3 - 4 - 5 triangle

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3 years ago
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2 years ago
Tyler invests $4,200 dollars at 5% simple interest and collects $840 interest after x years. What is the value of x?
zlopas [31]

The value of x is 4

Step-by-step explanation:

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Simple\ interest = P *r * t

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and t is the time in years

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Interest = $840

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P = $4200

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Hence,

The value of x is 4

Keywords: Simple interest

Learn more about simple interest at:

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4 0
2 years ago
Suppose a large shipment of laser printers contained 18% defectives. If a sample of size 340 is selected, what is the probabilit
lukranit [14]

Answer:

The probability that the sample proportion will be greater than 13% is 0.99693.

Step-by-step explanation:

We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.

Let \hat p = <u><em>the sample proportion of defectives</em></u>.

The z-score probability distribution for the sample proportion is given by;

                         Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}}  }  ~ N(0,1)

where, p = population proportion of defective laser printers = 18%

            n = sample size = 340

Now, the probability that the sample proportion will be greater than 13% is given by = P(\hat p > 0.13)

         P(\hat p > 0.13) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}}  } > \frac{0.13-0.18}{\sqrt{\frac{0.13(1-0.13)}{340}}  } ) = P(Z > -2.74) = P(Z < 2.74)

                                                                      = <u>0.99693</u>

The above probability is calculated by looking at the value of x = 2.74 in the  table which has an area of 0.99693.

7 0
2 years ago
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