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dusya [7]
2 years ago
15

1) A book contains 192 pages. A boy reads x complete pages everyday.if he has not finished the book after 10days, find the highe

st possible value of x
Mathematics
1 answer:
dlinn [17]2 years ago
6 0

9514 1404 393

Answer:

  19

Step-by-step explanation:

After x days, the boy will have read 10x. If this is less than 192, we have ...

  10x < 192

  x < 192/10

  x < 19.2

If x is an integer, the largest possible value x could have is 19.

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Find the volume of the solid whose base is the region Ix I Iy I &lt; 1 and whose vertical cross sections perpendicular to the y-
gavmur [86]

Answer:

volume of the solid = \frac{\pi }{3}

Step-by-step explanation:

As given , the region : |x| + |y| \leq 1

when y \geq 0 ,

|x| + y = 1

⇒|x| = 1 - y

when y ≤ 0 ,

|x| - y = 1

⇒|x| = 1 + y

The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)

As given , the vertical cross section are semicircle

As we know that the area of semi circle  = \frac{1}{2}\pi  x^{2}

Now,

Volume = \int\limits^0_-1    {\frac{\pi }{2} (1+y)^{2}  } \, dy + \int\limits^1_0    {\frac{\pi }{2} (1-y)^{2}  } \, dy

            = \frac{\pi }{2} (\frac{(1+y)^{3} }{3} ) - \frac{\pi }{2} (\frac{(1-y)^{3} }{3} )

           = \frac{\pi }{6}[1-0] - \frac{\pi }{6}[0-1]

           = \frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}

⇒volume of the solid = \frac{\pi }{3}

4 0
3 years ago
Somebody please help me with this answer
EastWind [94]

I think it might be b. I'm super sorry if I'm wrong I tried my best :(

6 0
2 years ago
Read 2 more answers
Two people share £350 in the ratio 1 : 6.<br><br><br>Calculate each share.
EleoNora [17]

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

6 0
2 years ago
In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of 873
Rainbow [258]

Answer:

H_0:\mu =873\\\\H_a: \mu

Step-by-step explanation:

Given : In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.

Claim : The true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes.

i.e. \mu

We know that the null hypothesis contains equal sign , then the set of hypothesis for the given situation will be :-

H_0:\mu =873\\\\H_a: \mu

4 0
2 years ago
How many hundred thousand people living in the word are living in poverty, given that n people in the world are living in povert
Diano4ka-milaya [45]

Answer:

\frac{n}{100000}

Step-by-step explanation:

Divide n by 100,000.

This gives us the "number of times 100,000 fits in n", or, "how many 100,000's n is", or as the hint says, "how many times larger n is than 100,000".

All represented by this formula:

\frac{n}{100000}

4 0
3 years ago
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