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Mariana [72]
2 years ago
11

Newton's law of gravitation state that the force F of attraction between two bodies varies jointly as their masses M1 and M2 and

inversely as the square of the distance between them. Two bodies whose centers are 500mi apart attract each other with a force of 15lb.What will be the force of attraction if their masses were tripled and the distance between their centers doubled?​
Mathematics
1 answer:
7nadin3 [17]2 years ago
8 0
I really don’t know this answer I tried everything
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Deep mixing is a ground improvement method developed for soft soils like​ clay, silt, and peat. Civil engineers investigated the
Kitty [74]

Answer:

a)  0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T  ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip​ resistance, T, such that 36​% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

        P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

        P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

       P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

        P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

        P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

       P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

       P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

  - We will search for the z value with the condition above from Z-table.

       P ( Z > (T - 2.7)/0.8) = 0.36,  Z = 0.358375

  - Hence, we calculate for T:

        T = 0.358375*0.8 + 2.7

        T = 2.9867

5 0
2 years ago
If probability of catching a cold is 0.03, what is the probability of 3 people out of six catching a cold?
xeze [42]

Answer:

P(X=x)=0.0004928

Step-by-step explanation:

-This is a binomial probability problem.

-Given the probability of catching a cold is 0.03, n=6

#The probability of exactly 3 people catching a cold is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={6\choose3}0.03^3(1-0.03)^3\\\\=0.0004928

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928

8 0
3 years ago
Find the value of x in each Figure. Please help, thank you!!
Archy [21]

Answer:

#5  39 = x

Sides:

x - 15

2x

2x

Total of sides = 180

180 = (x-15) + 2x + 2x

180 = x - 15 + 4x  

180 = -15 + 5x     (add 15 to each side to remove -15)

195 = 5x     (divide by 5 on each side to get x)

39 = x

#7  24 = x

Sides:

2x - 4

3x + 5  

2x + 11

Total of sides = 180

180 = (2x - 4) + (3x + 5) + (2x + 11)

180 = 2x - 4 + 3x + 5 + 2x + 11

180 = 7x + 12      (subtract 12 to each side to remove 12)

168 = 7x      (divide by 7 on each side to get x)

24 = x

#8  37 = x

Sides:

x

x + 4

3x - 9

Total of sides = 180

180 = (x) + (x + 4) + (3x - 9)

180 = x + x + 4 + 3x - 9

180 = 5x - 5      (add 5 to each side to remove -5)  

185 = 5x      (divide by 5 on each side to get x)

37 = x

Step-by-step explanation:

5 0
3 years ago
6) What is the Converse of the following
Sladkaya [172]

Answer:

B) If you don't do you homework, then you can't go to the movies

3 0
2 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Tatiana [17]

Answer: 9.4

Explanation: 8.4^2+4.3^2=

70.56+18.49=89.06

square root of 89.06 is 9.437

9.4 rounded off

7 0
2 years ago
Read 2 more answers
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