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3 years ago

What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?

Mathematics

2 answers:

nasty-shy [4]3 years ago

4 0

Answer:

Step-by-step explanation:

pi - 1 = 3.14 - 1 = 2.14

x has to be an integer, and the result must be greater than 1.

1 works.

1 < 2.14*1 < 10 2.14 is between 1 and 10.

2 works

1 < (2.14)*2 < 10

1 < 4.28 < 10

3 works

1 < 2.14 * 3 < 10

1 < 6.42 < 10

4 might work

1 < 2.14*4 < 10

1 < 8.56 < 10

and it does work.

5 can't work

1 < 5 * 2.14 < 10

1 < 10.7 < 10 is not true.

Answer: 1,2,3,4

DedPeter [7]3 years ago

3 0

Answer:

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

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F. A bag contains 3 red, 4 blue, 3 green, and 5 yellow marbles. What is the probability of

umka21 [38]

Answer:

Step-by-step explanation:

you first add up the marbles together. 3 + 4 + 3 +.5 = 15. Then you take the amount of green marbles their are, and make a fraction: 3/15. Then you remove one without putting it back, which is green, so you have 1 less total and one less green marbles, and you turn that into a fraction: 2/14.

First Pick: 3/15 chance of getting green

Second Pick: 2/14 chance of getting green

Then. You divide the first number by the second one.

3 / 15 = 0.2

2 / 14 = 0.142

Then to turn into percentage you move the decimal over two spots and drop the 0 and add a percentage sign:

20%

14.2% (Round Up Percentage) 15%

Which means that:

20% Probabiltiy for first pick

15% Probability for second pick

____________________________________________________________ I hope this helps. If it is incorrect, comment that, and I will see what U messed up. I hope I helped. :D

3 0

3 years ago

-18 subtracted from - 7

castortr0y [4]

The answer is 11 my friend :)

5 0

2 years ago

Read 2 more answers

I really need help fast thank you

chubhunter [2.5K]

Answer:

∠1 = 82°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Now,we have two sides as 49° and 49°.

The third angle is denoted as ∠1.

Thus;

∠1 + 49 + 49 = 180

∠1 = 180 - (49 + 49)

∠1 = 180 - 98

∠1 = 82°

4 0

3 years ago

Find total surface of 4cm 10 cm 7 cm

NARA [144]

21cm
i believe
good luck!

6 0

2 years ago

find the exepted value of the random varible with the following probability distribution x=2,3,4,5,6,7,8,9,10,11,12 Probability

dem82 [27]

The expected value of the random variable is 7

<h3>How to determine the expected value of the random variable?</h3>

The probability distribution is given as:

x=2,3,4,5,6,7,8,9,10,11,12

Probability =1/36,1/18,1/12,1/9,5/36,1/6,5/36,1/9,1/12,1/18,1/36

The expected value of the random variable is calculated using

E(X) = ∑xP(x)

Using the above formula, we have

E(x) = 2 * 1/36 + 3 * 1/18 + 4 * 1/12 + 5 * 1/9+ 6 * 5/36 + 7 * 1/6 + 8 * 5/36 + 9 * 1/9 + 10 * 1/12 + 11 * 1/18+ 12 * 1/36

Evaluate the sum of products

E(x) = 7

Hence, the expected value of the random variable is 7