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yanalaym [24]
3 years ago
11

A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the n

ature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is, p(y) = ky for y = 1, , 6. (Enter your answers as fractions.) (a) What is the value of k? [Hint: 6 y = 1 p(y) = 1] k = 1/21 (b) What is the probability that at most four forms are required? 10/21 (c) What is the probability that between two and five forms (inclusive) are required?
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

a)

k = \dfrac{1}{21}

b) 0.476

c) 0.667    

Step-by-step explanation:

We are given the following in the question:

Y = the number of forms required of the next applicant.

Y: 1, 2, 3, 4, 5, 6

The probability is given by:

P(y) = ky

a) Property of discrete probability distribution:

\displaystyle\sum P(y_i) = 1\\\\\Rightarrow k(1+2+3+4+5+6) = 1\\\\\Rightarrow k(21) = 1\\\\\Rightarrow k = \dfrac{1}{21}

b) at most four forms are required

P(y \leq 4) = \displaystyle\sum^{y=4}_{y=1}P(y_i)\\\\P(y \leq 4) = \dfrac{1}{21}(1+2+3+4) = \dfrac{10}{21} = 0.476

c) probability that between two and five forms (inclusive) are required

P(2\leq y \leq 5) = \displaystyle\sum^{y=5}_{y=2}P(y_i)\\\\P(2\leq y \leq 5) = \dfrac{1}{21}(2+3+4+5) = \dfrac{14}{21} = 0.667

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Neporo4naja [7]

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

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b=√1600

b=40

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Triangle PQR

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c=29

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Triangle XYZ

a²+24²=25²

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6 0
3 years ago
Can you help me with something ​
Anna11 [10]

Answer:

D. 1

Step-by-step explanation:

7,491 times 19 yields 142, 329

8 0
2 years ago
Read 2 more answers
Brian bought a new air conditioning unit on his credit card. The unit had a base price of $435. Brian made no other purchases on
Svetlanka [38]

Answer:

D is the correct answer

Step-by-step explanation:

Given:

Unit base price: $435

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sales tax = 8.51%

First, determine the actual price of the unit by adding the sales tax to the base price of the unit:

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So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:

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Therefore, the total amount paid by Brian is $507.96.

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3 0
2 years ago
Help me out with number 8!!! I’m confused and I need this by tomorrow HELP PLEASE
ivann1987 [24]
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
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Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
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We need b by itself.
9b=54
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We can also use the first equation to check our answers.
6(6)+8(13)
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So, the price of a belt is $6 while the price of a hat is $13.
































3 0
3 years ago
Convert 120435 (5square ) into decimal numbers​
Lapatulllka [165]

Answer:

347.037461955

Step-by-step explanation:

If you are taking the square root of 120,435. I would just put it into a calculator.

5 0
3 years ago
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