The probability of all calculators having no defects is 16.8%. The probability of at least one defect is the complement of that probability.
ie an 83.2% probability of at least one defect.

6 0

3 years ago

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

7 0

3 years ago

ASAP IM BEING TIME PLEASE!!

andre [41]

x° = 14°, y° = 14°; Use vertical and supplementary angles.

Step-by-step explanation:

The image of the answer is attached below.

In the given image two lines are parallel with transversal.

(9x + 12)° and ∠1 are vertically opposite angles.

Vertically opposite angles are equal.

∠1 = (9x + 12)°

Consecutive interior angles are supplementary.

(9x + 12)° + 3x° = 180°

⇒ 12x° = 168°

⇒ x° = 14°

Sum of the adjacent angles in a line are supplementary.

3x° + (4y – 10)° = 180°

⇒ 3(14)° + 4y° – 10° = 180°

⇒ 4y° = 148°

⇒ y° = 14°

Hence, x° = 14°, y° = 14°; Use vertical and supplementary angles.

6 0

2 years ago