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3 years ago

11

In a pacemaker factory, all pacemakers must go through a rigorous quality assurance check before being shipped. The table shows

the results
of the quality assurance checks. Find the probability that a non-defective pacemaker "fails." Round your answer to the nearest tenth of a percent. NEED ASAP

1 answer:

Len [333]3 years ago

5 0

Answer:

16.1%

Step-by-step explanation:

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What would be the area of a regular polygon with a perimeter of 20 feet and an apothem of 3 feet

Rama09 [41]

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a= 3\\ p=20 \end{cases}\implies A=\cfrac{1}{2}(3)(20)\implies A=30$

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4 years ago

Match the system of equations on the left with the appropriate solution on the right.

VARVARA [1.3K]

Answer:

$x=7-2y$ $(1,3)$

$3x+6y=-9$ $(-1,-1)$

$4x-2y-3$ $\text{no solution}$

$2x+4y=7$ $\text{infinite number of solutions}$

$x=-2y-3$ $(1,-2)$

Step-by-step explanation:

1: $x=7-2y$

$\Rightarrow x+2y=7$

$\Rightarrow (1,3)\;\text{is a solution of the above equation}.$

2: $3x+6y=-9$

$\Rightarrow 3(-1)+6(-1)=-3-6=-9$

$\Rightarrow (-1,-1)\; \text{is a solution of the equation 3x+6y=-9}.$

3: $4x-2y-3$

$\Rightarrow \;\text{It is not an equation}\\ \text{So, 4x-2y-3 has no solution.}$

4: $2x+4y=7$

$\Rightarrow 2x+4y=7\;\text{have an infinite number of solutions.}\\\text{Because for every x there exists a value of y which satisfies the equation.}$

5: $x=-2y-3$

$\Rightarrow x+2y=-3$

$\Rightarrow 1-2(-2)=1-4=-3$

$\Rightarrow (1,-2)\; \text{is a solution of the equation x=-2y-3}.$

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4 years ago

I need help with my final, it’s my final grade

s2008m [1.1K]

Answer:

x=13

Step-by-step explanation:

14x-2=180

+2 +2

14x=182

/14 /14

x=13

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3 years ago

On six books shelves there are 72 books per shelf.How many books are there altogether? If 1/3 of these are non-fiction how many

8090 [49]

<h2>Answer:</h2><h3>Part 1:</h3>

Given:

Total shelves: 6

Books per shelve: 72

Total books = ?

Solution:

Total books: 6 * 72 = 432

Total books = 432

<h3>Part 2:</h3>

Given:

Fiction books = 1/3 of total books

Solution:

Nonfiction books = Total books - 1/3 of total books

= 432 - 1/3 * 432

= 432 - 166 = 266

Non- fiction books = 266

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3 years ago

Find the slope of a line parallel to this given line

dybincka [34]

bearing in mind that parallel lines have the same exact slope, then any parallel line to the one above will have the same slope as that one.

$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \qquad \implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{3}}x-4$

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4 years ago