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3 years ago

I need help [see pic]

Mathematics

1 answer:

umka2103 [35]3 years ago

5 0

I have to assume that someone goes into the store and buys 3 pens for $1.50, 8 for $4 and 12 for $6. This is a bit confusing until you verify that the unit cost per pen is the same in all three cases.

3 pens for $1.50 comes out to $0.50 per pen;
8 pens for $4 comes out to $0.50 per pen; and
12 pens for $6 comes out to $0.50 per pen.

Summarizing: c = ($0.50)p

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Of the 725 students at Franklin Middle School, 12/25 play a sport. How many students play a sport at Franklin Middle School?

Paladinen [302]

Answer:

348 out of 725

Step-by-step explanation:

This is a ratio question, giving us a sample that we can use to extend the number to all students.

12/25 students play a sport so we want the value of x in x/725

So:

12/25 = x/725

Cross-Multiply:

25x = 8700

Divide by 25 to get x:

348

You can also check by dividing these ratios to see if you get the same number. In this case, you do (.48).

8 0

3 years ago

A new scooter is valued at $15 000.

aksik [14]

here

p= 15000

r=15%

t= 3 yrs

now

depreciation = p(1-r/100)^t

= 15000(1-15/100)^3

=9211.875

=9212 or 9211.88

4 0

3 years ago

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

a farm, in the shape of an isosceles trapezoid, is putting up fences on its diagonals. If 1 fence has sixteen 9 - foot segments,

iragen [17]

Answer:

Step-by-step explanation:

16 × 9 = 8 × x

x = 18

3 0

2 years ago

15% off the original price of $350, plus 6% sales tax

jonny [76]

Step 1. 100-15=85
Step 2. $350 *.85=$297.50
Step 3. $297.50 * .06= $17.85
Step 4. $297.50+17.85=$315.35

Answer: $315.35

7 0

3 years ago