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BabaBlast [244]
2 years ago
15

A pedestrian walks 7.4 kilometers west

Mathematics
1 answer:
attashe74 [19]2 years ago
3 0

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$

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faltersainse [42]

Answer:

The probability that a ship that is declared defecive is sound is 0.375

Step-by-step explanation:

Let P(A|B) denote the conditional probability of A given B. We will make use of the equation

P(A|B) = P(A) × P(B|A) / P(B)

We have the probabilities:

  • P(Declared Defective (detected) | Defective) = 0.95
  • P(not Detected | Defective) = 1-0.95=0.05
  • P(Declared Sound | Sound) = 0.97
  • P(Declared Defective |Sound) = 1-0.97=0.03
  • P(Defective)=0.05
  • P(Sound)= 1- 0.05 = 0.95

We can calculate:

P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076

P(S | Declared Defective) =

(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)

=0.95×0.03 /0.076 =0.375

3 0
3 years ago
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
swat32

Answer:

$1.44

Step-by-step explanation:

1.80x20%

8 0
3 years ago
Read 2 more answers
Bruce has .25 liters of blue liquid.he uses .4 of that liquid.How Much blue liquid does he use
nasty-shy [4]
Lol, this is a trick question. He uses .4.
6 0
3 years ago
Read 2 more answers
Evaluate the function at f(-4)
QveST [7]

Answer:

this mean that when x equals -4 what is y. y=2

8 0
4 years ago
8.
likoan [24]

Answer:

1/4

Step-by-step explanation:

add the ratios

3+5=8

240 Divided by 8=30

3x30=90

5x30=150

Ann(90)

Bob150)

90/2=45 (remeber Ann gave half)

150/10=15 (remeber Bob gave a tenth)

45+15=60 (Colin received this amount)

60/240=1/4

8 0
4 years ago
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