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Serggg [28]
3 years ago
5

Soundtronics is a company that manufactures inexpensive headphones. Due to the high volume some of the headphones are defective

when they come off the production line. The probability that a set of headphones is defective is 39%. Find the probability that the first set of defective headphones is not one of the first 55 sets off the production line.
Mathematics
1 answer:
Simora [160]3 years ago
5 0
Ta3 l3able fi bi idek l ndaf li ba3dak mghassalon
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The vertex of the graph of f(x) = |x - 3| +6 is located at<br> Done<br> Intro
Igoryamba

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

8 0
3 years ago
The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypo
soldi70 [24.7K]

Answer:

\sqrt{549} ≈ 23.4

Step-by-step explanation:

A = bh

270 = 15b

b = 18

Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse:  a² + b² = c²

15² + 18² = c²

225 + 324 = c²

c² = 549

c = √549

8 0
3 years ago
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6 cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. Does this represent a proportional relationship
Studentka2010 [4]

yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces

3 0
3 years ago
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What is the vertex form of Y = x2 - 6x + 6?
ahrayia [7]

Answer:

\large\boxed{y=(x-3)^2-3}

Step-by-step explanation:

The vertex form of a quadratic equation <em>y = ax² + bx + c:</em>

<em>y = a(x - h)² + k</em>

(h, k) - coordinates of a vertex

We have the equation <em>y = x² - 6x + 6</em>.

Convert to the vertex form:

y=x^2-2(x)(3)+6\\\\y=\underbrace{x^2-2(x)(3)+3^2}_{(*)}-3^2+6\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\y=(x-3)^2-9+6\\\\y=(x-3)^2-3\to h=3,\ k=-3

7 0
3 years ago
A rectangle has a height of 52 and a width of 2 + 2. What is the area?
wariber [46]

108

Step-by-step explanation:

because you would have to take the width times the height and that is 52 times 4

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