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mr Goodwill [35]
3 years ago
9

A drugstore charges customers 40 cents to print a photograph. Regina spends $4.80 to print photographs at this store.

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

12 photos

Step-by-step explanation:

x will represent the number of photos

4.80=.4x

divide 4.80 by .4

x= 12

she printed 12 photos

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If a company issues bonus shares, what is the most likely effect on its debt-equity ratio?
Lena [83]

Answer:

If a company issues bonus shares, there will be no increase in the capital and the debt-equity ratio remains unchanged.

Step-by-step explanation:

Free additional shares offered to existing shareholders is known as a bonus issue.

Bonus issues are given to shareholders when companies are short of cash and shareholders expect a regular income. It may also be issued to restructure company reserves.

However, issuing bonus shares does not involve cash flow. It increases the company’s share capital but not its net assets.

Since bonus issues only increase the number of shares a shareholder is holding but not the ratio/percentage of holding. Thus, if a company issues bonus shares, there will be no increase in the capital and the debt-equity ratio remains unchanged.

7 0
3 years ago
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
viva [34]

Answer:

<h2>(5,4)</h2>

Step-by-step explanation:

Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)

4 0
3 years ago
Read 2 more answers
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc
Ludmilka [50]

Answer:

\mu = 12.1\\\sigma = 0.3

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.6-12.1}{0.3}

z=-1.67

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{12.6-12.1}{0.3}

z=1.67

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence  the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than  alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

3 0
3 years ago
The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length
BartSMP [9]

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

5 0
3 years ago
Write an expression in expanded form and an expression in factored form for the diagram.
olga2289 [7]

Step-by-step explanation:

You put them together to form a bigger number then break it down. sorry if it doesn't make sense.

Btw do you form the number if so I'll help just give the number and I'll break it down for you. :)

6 0
3 years ago
Read 2 more answers
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