All categories

3 years ago

For what values of y:s the value of the fraction 4.5−2y/5 less than the value of the fraction 2−3y/10 ?

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

Answer:

7 < y

Step-by-step explanation:

The relation you're interested in is ...

(4.5 -2y)/5 < (2 -3y)/10

9 -4y < 2 -3y . . . . . . . . . multiply by 10

7 < y . . . . . . . . . . . . . . . . add 4y-2

The value of the first fraction will be less than that of the second fraction for values of y greater than 7.

You might be interested in

Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna

uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : $\hat{p}=\dfrac{150}{400}=0.375$

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

$P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})$

$=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]$

$=P(z>-1.02)=P(z-z)=P(Z$

$\approx0.8461$ [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

4 0

3 years ago

The value of the 9 is ten times the value of the 9 in 329,513. The value of the 2 is one-tenth the value of the 2 in 7,562. The

nexus9112 [7]

Answer: The number is 90,000.26

Step-by-step explanation:

Extracting key information from the question:-

*** The value of the "9" in Lea's riddle is 10 times the one in 329,513

*** The value of the "2" in the riddle is 1/10 the value of the 2 in 7,562.

*** The value of the 6 in the riddle is one-tenth the value of the 6 in 4.68

*** We are required to solve this possible and reveal the number.

Now, in the number 329,513 the place value of 9 is 9,000. According to the information provided, the value of the 9 in the riddle is ten times the value of the 9 in 329,513.

So, multiplying 9000 by 10 gives:-

9,000 × 10

= 90,000

Again, the value of the 2 in the riddle is one-tenth (1/10) the value of the 2 in 7,562. The value of 2 in 7,562 is 2 units, therefore one-tenth of this 2 units will give:-

1/10 × 2

= 0.2

Similarly, the value of 6 in the puzzle is one-tenth (1/10) the value of the 6 in 4.68; The 6 here is 6 hundredth = 0.6

Therefore, the value of 6 in the puzzle is:

1/10 × 0.6

= 0.06

In order to discover the number in Lea's riddle, we will then add up the calculated values:-

= 90,000 + 0.2 + 0.006

= 90,000.26

This number is the answer to Lea's riddle.

4 0

3 years ago

At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?

Finger [1]

divide total miles by time:

157.5 / 2.5 = 63 miles per hour

4 0

3 years ago

PLEASE HELP ME THESE ARE MY LAST POINTS PLEASEEE

Julli [10]

About 16 copies cost the same amounts

5 0

3 years ago

Read 2 more answers

If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? use 3.14 for pi,

Basile [38]

I hope this helps you

Volume =pi.r^2.h

Volume =3,14.8^2.10

Volume =31,4.64

Volume =200,96

8 0

3 years ago