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Which linear equation can be derived from this proportion?(x - 9)/(x - 3) = (2)/(5)

A. 2x - 3 = 5x - 9
B. 2x - 9 = 5x - 3
C. 2x - 18 = 5x - 15
D. 2x - 6 = 5x - 45

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  D.  2x - 6 = 5x - 45

Step-by-step explanation:

To make the linear equation, we can multiply the given equation by 5(x-3).

  (x-9)/(x-3)=(2)/(5)\n\n((x-9)(5)(x-3))/((x-3))=(2(5)(x-3))/(5)\n\n5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\n\n5x-45=2x-6\qquad\text{use the distributive property; matches D.}
Answer 2
Answer:

Answer:

The correct answer is D. 2x-6=5x-45

Step-by-step explanation:

I got it right on the Plato test.

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3 gallons of paint cover 900 square feet. How many gallons will cover
1950 square feet?

Answers

Answer:

six and a half litres

Step-by-step explanation:

if 3g = 900

what about 1950

you cross multiply

A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience an attempted burglary. Find the probabilities of these events:_________.A. At least one alarm is triggered.
B. More than seven alarms are triggered.
C. Eight or fewer alarms are triggered.

Answers

Answer:

a) P(X \geq 1) = 1-P(X<1) = 1-P(X=0)

P(X=0)=(9C0)(0.99)^0 (1-0.99)^(9-0)=1x10^(-18)

And replacing we got:

P(X \geq 1) =1 -1x10^(-18) \approx 1

b) P(X=7)=(9C7)(0.99)^7 (1-0.99)^(9-7)=0.003355

P(X=8)=(9C8)(0.99)^8 (1-0.99)^(9-8)=0.083047

P(X=9)=(9C9)(0.99)^9 (1-0.99)^(9-9)=0.913517

And adding we got:

P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992

c) P(X \leq 8) =1 -P(X>8) = 1-P(X=9)

P(X=9)=(9C9)(0.99)^9 (1-0.99)^(9-9)=0.913517

And replacing we got:

P(X \leq 8)= 1-0.913517=0.086483

Step-by-step explanation:

Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:

X \sim Binom(n=9, p=0.99)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^(n-x)

Where (nCx) means combinatory and it's given by this formula:

nCx=(n!)/((n-x)! x!)

Part a

We want to find this probability:

P(X \geq 1) = 1-P(X<1) = 1-P(X=0)

P(X=0)=(9C0)(0.99)^0 (1-0.99)^(9-0)=1x10^(-18)

And replacing we got:

P(X \geq 1) =1 -1x10^(-18) \approx 1

Part b

P(X \geq 7)= P(X=7) +P(X=8)+ P(X=9)

P(X=7)=(9C7)(0.99)^7 (1-0.99)^(9-7)=0.003355

P(X=8)=(9C8)(0.99)^8 (1-0.99)^(9-8)=0.083047

P(X=9)=(9C9)(0.99)^9 (1-0.99)^(9-9)=0.913517

And adding we got:

P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992

Part c

P(X \leq 8) =1 -P(X>8) = 1-P(X=9)

P(X=9)=(9C9)(0.99)^9 (1-0.99)^(9-9)=0.913517

And replacing we got:

P(X \leq 8)= 1-0.913517=0.086483

If quadrilateral PQRS is an isoceles trapezoid if RP=12 then SQ= ?

Answers

The question is missing parts. Here is the complete question.

Quadrilateral PQRS (shown below) is an isosceles trapezoid. If RP = 12, then SQ = ?

Answer: SQ = 12

Step-by-step explanation: A trapezoid is a quadrilateral with two opposite parallel sides, called bases. The trapezoid is an isosceles trapezoid when the non-parallel sides have the same length.

One property of isosceles trapezoid is that its diagonals are congruent, i.e., have the same length.

In the picture, segment RP is one of the trapezoid's diagonal. It is asking the measure of SQ, which is the other diagonal. So:

SQ = RP

SQ = 12

Segment SQ of isosceles trapezoid PQRS is 12 units.

Answer:

if quadrilateral PQRS is an isosceles trapezoid if RP=12 then SQ= 12

Step-by-step explanation:

What is 7/8- 5/8?
Answer

Answers

Answer:

1/4

Step-by-step explanation:

Since the denominatior is the same, we can look at only the numerator. So 7/8 - 5/8 is basically 7 - 5 which is 2.

The denominator doesn't change so it's 2/8. We can further simplify this into 1/4.
It will be 1/4! Because you need to reduce it

Does anybody know about this I'm stuckes it's about angles ​

Answers

Answer:

the answer is 25 degrees

Answer:

alpha = 25°

Step-by-step explanation:

The picture indicates a rectangle.

Alpha is in a straight corner of 90 °, so...

65 + alpha = 90

subtract 65 left and right of the = sign.

65 - 65 + alpha = 90 - 65

0 + alpha = 90 - 65

alpha = 25°

3 less than a number b divided by 2

Answers

Answer:

The equation would be written as fallowed

f(d)=d/2-3

Step-by-step explanation:
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