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babymother [125]

2 years ago

14

A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer ex

pect out of 45000 tablets?

1 answer:

Tomtit [17]2 years ago

4 0

Answer:

720

Step-by-step explanation:

125tablets, 2 of which had broken screens.

multiply 45000 by 2, then divide 125=720

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If the mean of 25, 28, a, 30 and 32 is 27, then find the value of a.

Anna11 [10]

Answer:

a = 20

Step-by-step explanation:

The mean is calculated as

mean = $\frac{sum}{count}$

= $\frac{25+28+a+30+32}{5}$ = $\frac{115+a}{5}$

Then

$\frac{115+a}{5}$ = 27 ( multiply both sides by 5 to clear the fraction )

115 + a = 135 ( subtract 115 from both sides )

a = 20

6 0

3 years ago

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

The expression i/pt represents the rate of instrest being charged if a loan of p dollars for t years required i dollars in intre

zysi [14]

Answer:

7.3%

Step-by-step explanation:

Given:

<em>Formula for Rate of interest </em> $R$ :

$R=\dfrac{i}{Pt}$

Where $i$ is the rate of interest.

$P$ dollars is the loan and

$t$ years is the time for which interest is to be paid

$P =\$690\\t=3\ years\\i=\$151.11$

To find:

$R=?$

Solution:

Putting the given values in the formula:

$R=\dfrac{151.11}{690 \times 3}\\\Rightarrow R=\dfrac{151.11}{2070}\\\Rightarrow R=0.073$

Multiply the above value with 100 to find the percentage.

i.e.

$R=0.073\times 100 = \bold{7.3\%}$

Therefore, the answer is <em>7.3%</em>

8 0

3 years ago

In the diagram below, determine the value of $x$: [asy] size(6.5cm); pair cis(real magni, real argu) { return (magni*cos(argu*pi

Inessa05 [86]

Answer:

55 degrees

I answered the question on AoPS and it said it was correct.

6 0

3 years ago

Goes through the 2 points (-3,5) (4,5). what's the equation?

Ierofanga [76]

Slope = 0
b = 5

equation
y = 5

3 0

3 years ago