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Andrei [34K]
3 years ago
9

On a state map, a cartographer plots Texmath at coordinates (2, 2) and Lonestar Village at coordinates (9, 16). How far is it fr

om Texmath to Lonestar Village?
Mathematics
2 answers:
Digiron [165]3 years ago
7 0

Since two points are given, we can use the distance formula in order to know hpw far is it from Texmath to Lonestar Village. Distance formula is written as

Distance = \sqrt{ ( x_{2} - x_{1}  )^{2} +(y_{2} - y_{1}  )^{2}  }

Substituting the values, we have:

Distance = \sqrt{ ( 9-2 )^{2} +(16-2)^{2} }

= \sqrt{7^2 +14^2}

= √245 = 15.65 units

andrew11 [14]3 years ago
6 0

Answer:

the answer is:

7[5

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It is proportional

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3 years ago
Solve the following:<br> 6(2x+3)-3(x-2)=6
REY [17]

The value of x is -2

Step-by-step explanation:

Given that

6 (2x + 3) - 3(x - 2) = 6

Expand the bracket                    

6 (2x + 3) - 3(x - 2) = 6

12x + 18 - 3x + 6 = 6

Collect like terms

12x - 3x = 6 - 6 - 18

9x = -18

Divide through by 9

9x / 9 = -18 / 9

x = -2

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In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi
tiny-mole [99]

Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187

7 0
3 years ago
Can you construct a triangle that has side lengths 2 yd, 9 yd, and 10 yd?
yan [13]

Yes


The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.


This happens for all possible couples in your case:


2+9=11>10


2+10=12>9


9+10=19>2

3 0
3 years ago
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