Hey there! I'm happy to help!
Let's plug in our x value.
-3(6)+9y=18
-18+9y=18
We add 18 to both sides.
9y=36
We divide both sides by 9.
y=4
Have a wonderful day! :D
A contraction would make the image smaller.
A negative number reflects the image and changes the size based on the number.
To make an image smaller the factor needs to be less than 1
so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.
Let the width = x -12
the length = x
we have this area equation: x(x-12)=380.16
=>x^2-12x-380.16=0
=>(5x-132)(5x+72)=0
=>x= 132/5 and x= -72/5 (no)
=>The width of the poster is: 132/5 -12 =72/5 inches
Answer:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either they are defective, or they are not. Each part has a 4% probability of being defective, and the probability of a part being defective is independent of other parts, that is, they are selected independently. These are the conditions under which this situation would be a binomial experiment.
So the correct answers are:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
<u>To find the area of a complex shape</u>:
⇒ must split into simpler shapes
- a rectangle of <u>8m by 7m</u>
- a rectangle of <u>2m by 8 m</u>
<u>Now let's find</u>:
- Area of a rectangle of <u>8m by 7m</u>

- Area of a rectangle of <u>2m by 8m</u>

<u>Total Area</u> = 56 + 16 = <u>72 m²</u>
<u>Answer: 72 m²</u>
Hope that helps!