Select the correct answer.

A certain shop repairs both audio and video components. Let A denote the event that the next

alexdok [17]

Answer:

0.12 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: next component brought in for repair is an audio component

B: event that the next component is a compact disc player

$B \in A$

$P(A)= 0.6\\P(B) =0.05$

We have to evaluate:

$P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\P(B|A) = \dfrac{P(B)}{P(A)}\\\\P(B|A) = \dfrac{0.05}{0.6} = 0.12$

0.12 is the required probability.

3 0

3 years ago

3) Rita has 3/4 m of Ifugao cloth. She used 2/3 m for placement. What part

enot [183]

Answer:

$Unused = \frac{1}{12}m$

Step-by-step explanation:

Given

$Total= \frac{3}{4}m$

$Used= \frac{2}{3}m$

Required

Determine the part left

The part left is calculated using:

$Used + Unused = Total$

$Unused = Total - Used$

$Unused = \frac{3}{4}m - \frac{2}{3}m$

Take LCM

$Unused = \frac{9m - 8m}{12}$

$Unused = \frac{1m}{12}$

$Unused = \frac{1}{12}m$

6 0

3 years ago

A total of $76,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds

Anestetic [448]

Answer:

The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000

Step-by-step explanation:

Given as :

The total amount to be invested as bonds and certificates of deposit (CD) = $76,000

Let the amount invested as bonds = $ x + $6000

And The amount invested as CD = $ x

Now, According to question

The amount invested as CD + The amount invested as bonds = $ x + $ x + $6000

Or, $ x + $ x + $6000 = $76,000

Or, $ 2x = $76,000 - $6000

So, $ 2x = $70,000

∴ x = $\frac{70000}{2}$ = $ 35,000

And $ x + $6000 = $ 35,000 + $6000 = $ 41,000

Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000 Answer

4 0

3 years ago

a caravan crossed 1378 miles of desert in 85 days it traveled 22 miles the first day and 28 the second day if caravan traveled t

Ronch [10]

Dist. travelled for the first 2 days
= 22 + 28
= 50

Dist. travelled for the remaining 83 days
= 1378 - 50
= 1328

Dist. travelled for EACH of the 83 days
= 1328 ÷ 83
= 16

7 0

3 years ago

Read 2 more answers

A theorem in geometry states that the measure of an inscribed angle is half the measure of its

RoseWind [281]

Answer:

The first option is the correct option

Step-by-step explanation:

From the question the slope AC is evaluated as

$m_1 = \frac{b-0}{a- (-c)}$

$m_1 = \frac{b}{a+c}$

And the slope of line CB is mathematically evaluated as

$m_2 = \frac{0-b}{c-a}$

$m_2 = \frac{b}{c-a}$

Now for lines that are perpendicular to each other then the product of their slope should be equal to -1

So if $m ZC$ $= 90^o$

Then

$m_ *m_2 = -1$

i,e

$[\frac{b}{a+ c} ] [\frac{b}{a-c} ] = -1$

7 0

3 years ago