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olga2289 [7]
3 years ago
7

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.

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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
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