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amid [387]
1 year ago
15

An architectural drawing lists the scale as 1/4" = 1'. if a bedroom measures 312" by 514" on the drawing, how large is the bedro

om?
Mathematics
1 answer:
marusya05 [52]1 year ago
6 0

The length of the bedroom exists at x = 9 and y = 6.

<h3>How to estimate the length of the bedroom?</h3>

From the given information, we get

Then  $\frac{(1/4)}{(9/4)}  = \frac{1}{x}

Solve this for x.

simplifying the value of x we get

Equate (1/9) to 1/x.

x = 9 (feet).

Convert 1.5 inches to feet using a proportion:

$\frac{(1/4)}{(1.5)}  = \frac{1}{y}

Solve this for y.

simplifying the value of y we get

(1/4)y = 3/2

Multiply both sides of the equation by 4.

y = 6

Therefore, the length of the bedroom exists at x = 9 and y = 6.

To learn more the value of x refers to:

brainly.com/question/2284360

#SPJ4

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Let
Digiron [165]

What I gather from the question is that X has second moment E(X^2)=81 and variance V(X) = 58, and you're asked to find the expectation and variance of the random variable Y=2X+10.

From the given second moment and variance, we find the expectation of X :

V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}

Expectation is linear, so

E(Y) = E(2X+10) = 2 E(X) + 10 = \boxed{2\sqrt{23} + 10}

Using the same variance identity, we have

V(Y) = V(2X+10) = E((2X+10)^2) - E(2X+10)^2

and

E((2X+10)^2) = E(4X^2 + 40X + 100) = 4E(X^2) + 40E(X) + 100 = 424 + 40\sqrt{23}

so that

V(Y) = V(2X+10) = (424 + 40\sqrt{23}) - (2\sqrt{23} + 10)^2 = \boxed{232}

Alternatively, we can use the identity

V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232

5 0
2 years ago
You toss a fair number cube with 1 to 6 and flip a coin.
ludmilkaskok [199]

Answer:

1/6

Step-by-step explanation:

its unlikley because 1 out of 6 chances that youll land on a six or something and a 50 50 chance that you'll land on heads or tails. Unlikcry for te dice rills and likekly for the coins toss

8 0
2 years ago
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain.
cricket20 [7]
A) there is a linear relationship with the test scores go up with increasing hours spent on hw

b) y=8x+40 so at x=3h, y=test score= 8*3+40 = 64

c) 40 represents test score when u spend 0 hour on hw


5 0
2 years ago
Read 2 more answers
Solve the following systems of 3-variable linear equations.​<br><br><br><br>50 points
Natali [406]

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

7 0
2 years ago
Answer pleaseee...!!!
Korvikt [17]

Answer: 23

Step-by-step explanation:

6 0
3 years ago
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