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dangina [55]
3 years ago
7

When 23 is subtracted from the square root of three times a number, the result is 16. find the number?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0
(√3n)-23=16

Put all of the numbers without a variable on the right side of the equation
(√3n)=39

Simplify 
<span>1.732051n</span>=<span>39
</span>
Divide 39 by 1.732051
n=<span>22.516658

Round
n=22.5</span>
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A set of raw paired sample data is given below. Convert this raw data into paired ranks, and calculate the value of the rs test
SOVA2 [1]

here is the data set for the complete question

x: 18 21 19 21 20 21

y; 2 14 5 6 18 18

Answer:

B. 0.652

Step-by-step explanation:

x   y   rank of x     rank of y   d         d²

18   2     1                1               0          0

21   14    4                4             0          0

19    5     2               2             0          0

21    6     4               3            1            1

20    18    3             5.5         -2.5      6.25

21     18    4             5.5          -1.5       2.25

∑d² = 8.5

rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)

= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)

= 1 - 0.348

= 0.652

therefore option b is the right answer.

5 0
3 years ago
Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the hei
Hunter-Best [27]

Answer:

x = 28.60 feet

Step-by-step explanation:

We are given a height of 2 feet above the ground and the angle of elevation of 86 degrees. 

Now, let's assume that the form of our problem is in the form of a right triangle, we can solve for the remaining angle as follows;

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is been calculated below as

2/sin 4 = x / sin 86

solving for x we have

x = 28.60 feet

We have 28.60 feet as our answer

8 0
3 years ago
Solve for x.<br> *x+3x+4=3+3
Bingel [31]

Answer:

x+3x+4=3+3  →  x=\frac{1}{2}

Step-by-step explanation:

x+3x+4=3+3

4x+4=6

4x=2

x=\frac{1}{2}

7 0
3 years ago
Test each statement below to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible
FinnZ [79.3K]
Statement: Complementary angles are two angles with measures that have a sum of 90.
Reverse: Two angles with measures that have a sum of 90 are complementary angles.

Here the reverse is true, therefore, the statement is true biconditional.

Statement: A rectangle is a four-sided figure with at least one right angle.
Reverse: A four sided figure with at least one right angle is a rectangle.

Here, the reverse is not true, therefore, the statement is not reversible.
3 0
3 years ago
Read 2 more answers
If the dimensions of a square based pyramid are tripled what happens to the volume?
11Alexandr11 [23.1K]
Plug in numbers. if originally, it was V=1/2 * 1 * 1 * 2=1 

<span>tripling the dimensions would be V=1/2 * 3 * 3 * 6=27 </span>

<span>it would be 27 times larger. this could also be found by 3^3, just as doubling would render 2^3

</span>
7 0
3 years ago
Read 2 more answers
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