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uranmaximum [27]

3 years ago

12

Avril invested 60,000 in a partnership with Lane, Jules, Ray, Ravi, and Petra. The total investment of all partners was $320,000

. What percent of the business does avril own?

1 answer:

8090 [49]3 years ago

8 0

Answer:

$Percentage\ of\ Avril=18.75\%$

Step-by-step explanation:

Concept Used: Percentage: $x\ amount\ of\ y.\ Percentage=\frac{x}{y}\times 100$

$Total\ investment=\$320000\\\\Avril's\ Investment=\$60000\\\\Percentage\ of\ Avril=\frac{Avril's\ investment}{Total\ investment}\times 100\\\\Percentage\ of\ Avril=\frac{60000}{320000}\times 100\\\\Percentage\ of\ Avril=\frac{60000}{3200}\\\\Percentage\ of\ Avril=18.75\%$

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A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviati

eduard

Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.

That is;
P(x<0.496) and P(x>0.504) are not acceptable.

Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707

Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099

Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%

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3 years ago

Find the equation of the line shown.<br> 1<br> 0<br> -2

wolverine [178]

Answer:

your didn't give any proper point ,but i assuming the the question as

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so answer is

(x-1)/a = y/b = (z+2)/c,

where a,b,c are constant

Step-by-step explanation:

4 0

2 years ago

If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is $.

timama [110]

If a laptop originally costs $800 at purchase, and is then discounted by 10%, the remainder would be $720, given that 10% of $800 is $80. Therefore, once then applying the credit card to reduce it another $150, the final price of the laptop would come out to $570 once the deductions are considered.

4 0

3 years ago

Read 2 more answers

9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

(c) The number of gold ink bottles.

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

3 years ago

What is the point of symmetry for the circle (x + 2)2 + (y â 4)2 = 25?

irina [24]

It's its center:

(-2, 4)

Can't read y-4 or y+4, change the sign.

y-4 ---> SOLUTION: (-2,4)

y+4 ---> SOLUTION: (-2, -4)

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3 years ago