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Lapatulllka [165]
2 years ago
15

A carpenter braces a 10-ft x 15-ft wall by nailing a board diagonally across the wall. How long is the bracing board? Write your

answer in simplest radical form and round the answer to the nearest tenth.
Mathematics
1 answer:
lana66690 [7]2 years ago
8 0

Answer:

Radical: 5√13

Decimal: 18.0

Step-by-step explanation:

Given the dimension of the board given as 10ft by 15ft

If the board is nailed diagonally, the length of the bracing board will be gotten using the pythagoras theorem;

d² = 10² + 15²

d² = 100 + 225

d² = 325

d = √325

Expressing in radical form;

d = √325

d = √25*13

d = 5√13

Hence the length of the board in radical form is 5√13 feet

Express in decimal form;

d = √325

d = 18.0

Hence the length of the board to the nearest tenth is 18.0 feet

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Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the
Savatey [412]

Answer:

The probability that at lest one job will be missed in 57 second is=1- e^{-1.71} =0.819134

Step-by-step explanation:

Poisson distribution:

A discrete random variable X having the enumerable set {0,1,2,....} as the spectrum, is said to be Poisson distribution.

P(X=x)=\frac{e^{-\lambda t}({-\lambda t})^x}{x!}  for x=0,1,2...

λ is the average per unit time

Given that, a job arrives at a web server with the probability 0.03.

Here λ=0.03, t=57 second.

The probability that at lest one job will be missed in 57 second is

=P(X≥1)

=1- P(X<1)

=1- P(X=0)

=1-\frac{e^{-1.71}(1.71)^0}{0!}

=1- e^{-1.71}

=0.819134

6 0
3 years ago
HELLPPPPPPPPP WITH THE TOP THREE PLS
rodikova [14]

Answer:

9) Domain: 0≤x≤6

Range: -3≤y≤3

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Range: -∞≤y≤∞

11) Domain: -∞≤x≤∞

Range: y≥-2

13) Domain: -∞≤x≤∞

Range: -2≤y≤4

Step-by-step explanation:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞<x<∞

Range: -∞<y<∞

11) Domain: -∞<x<∞

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4 0
3 years ago
A truck can be rented from Company A form ​$130 a day plus $0.30 per mile. Company B charges ​$50 a day plus $0.80 per mile to r
navik [9.2K]

Answer:

160 miles

Step-by-step explanation:

Company A form ​$130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges ​$50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

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Answer:

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Step-by-step explanation:

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Question 17, 19 and 21 ?
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