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3 years ago

Question:

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

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

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If DE KL, then M > F. Choose the relationship symbol to make a true statement.

Step-by-step explanation:

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3 years ago

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To sew a garment, a seamstress uses 5.7 centimeters of thread for every 7.6 centimeters of fabric.

JulijaS [17]

Answer:

Part a) $5.6\ cm$ of fabric

Part b) $15.9\ cm$ of thread

Step-by-step explanation:

we know that

A seamstress uses $5.7$ centimeters of thread for every $7.6$ centimeters of fabric

Part a)

by proportion

Find how much fabric is involved if the seamstress uses $4.2$ centimeters of thread

$\frac{7.6}{5.7}\frac{cm\ fabric}{cm\ thread} =\frac{x}{4.2}\frac{cm\ fabric}{cm\ thread} \\ \\x=4.2*7.6/5.7\\ \\x=5.6\ cm\ fabric$

Part b)

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Find how many centimeters of thread is needed if the seamstress is working with $21.2$ centimeters of fabric

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4 years ago

In an election, Mr. Jones received 70% of the 1,500 votes cast. How many votes did Mr. Jones receive?

Luba_88 [7]

With receiving 70% of the 1,500 votes, Mr. Jones overall ended up receiving 1050 votes.

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3 years ago

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A girl types 12 words in 4 sec. How many words can she type in 40 sec

Free_Kalibri [48]

Answer:

The answer is "120 words".

Step-by-step explanation:

$\therefore \text{12 words type in 4 second}$

$\because 12 = 4\\$

if we multiply the above value by 10 its value will:

$\to 12 \times 10 = 4 \times 10\\\\\to 120 = 40\\$

that's why 40 seconds = 120 words

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4 years ago

Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of 2 miles p

kramer

Let, the time when <span>Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

In short, Your Answer would be: 15 miles

Hope this helps!</span>

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4 years ago