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goblinko [34]
3 years ago
6

In a store, a sample of 60 pens was selected from a box of 1,200 pens. Of these 60, 4 pens did not work. About how many pens cou

ld be expected to not work in the group of 1,200 pens?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0
Ok so if 1200 total pens and 60 were taken that's a ratio of 1200/60=20

out of 60pens 4 didn't work, again ratio is 4/60=1/15 so about 1/15 of the pens didn't work. 

so we have 1200pens * 1/15broken ratio = 80 pens or we can say 

20*4=80pens won't work from 20 groups of 60 and 4 out of 60 not working is 20*4=80 not working from total batch of 1200.

hope this helps you some! thank you!!!!!!!!!
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The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
3 years ago
3 eggs and 2 cups of sugar to make 30 cookies. How many eggs and cups of sugar do you need to make 50 cookies.
sineoko [7]

Answer:

<u>5 eggs and 3.33 cups of sugar</u>

Step-by-step explanation:

3 eggs are required to make 30 cookies

1 cookie needs 3/30 eggs

so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>

2 cups of sugar is required to make 30 cookies

1 cookie needs 2/30 cups of sugar

so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>

5 0
3 years ago
Which point is a solution to the system of inequalities below?
vodomira [7]

The ordered pair which is a solution to the given inequality is: C. (2, 1).

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

7 0
1 year ago
PLS I NEED HELP THIS IS THE LAST QUESTION FOR MY GEOMETRY WORKSHEET ANYTHING IS APPERCIATED
mr_godi [17]

Answer:

4.64

Step-by-step explanation:

X^2= r/s

8 0
3 years ago
A merchant has coffee worth $20.00 per pound that she wishes to mix with 70 pounds of coffee with​ $90.00 per pound to get a mix
Crank

20x-1000 +4000 = 60x

20x-60x= -4000 +1000

-40x= -3000

x= -3000/-40

75 The mix will be 75 lbs

And $20 coffee will be 75 -50 = 25lbs


6 0
3 years ago
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