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3 years ago

Please show your work, I'd really appreciate the help! :)

Mathematics

1 answer:

xenn [34]3 years ago

3 0

Y=12.5+1.25X , this is how youget the fair admission amount 43.75-(25x1.25)=12.5

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Real estate ads suggest that 56 % of homes for sale have garages, 27 % have swimming pools, and 16 % have both features. a) W

Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},

A = {homes with pool and garage} = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

5 0

3 years ago

Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq

Ksju [112]

Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

7 0

4 years ago

Karen about a piece of that was cut into eight equal pieces she ate half of one piece what fraction of the whole pizza that she

Illusion [34]

If pizza has 8 pieces, then there are 7 1/2 pieces left.
She at 1/16 of the pizza.

5 0

3 years ago

Read 2 more answers

What is the value of the expression? 1500÷50

ra1l [238]

Answer:

the answer is 30.

Step-by-step explanation:

50 goes into 1500 30 times so the answer is 30.

6 0

3 years ago

Correct answers only please! If you don't know the answer, then please don't guess or say what you think it is.

hammer [34]

Answer:

The option "C" is correct

#in my opinion#

Step-by-step explanation:

The size of a screen is generally measured diagonally.

Thus to find the diagonal length,

we take help from Pythagoras theorem

$i.e. \\ {h}^{2} = {b}^{2} + {p}^{2}$

where h (hypotenuse) is the diagonal length, b (base) is the length of horizontal side, and p (perpendicular) is the length of the vertical side of the TV,

THUS the diagonal length or hypotenuse

$h = \sqrt{ {b}^{2} + {p}^{2} } \\ \: = \sqrt{1024 + 324} \\ \: = \sqrt{1348} \\ \: = 36.7 \: (= aprox \: 37)$

3 0

3 years ago