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romanna [79]
3 years ago
12

#2 & #3 with answer and explanation please??????

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:

KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)

3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:

AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)

AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)


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Management of a particular golf course wants to know what the average score is for their course. It is known that from previous
babunello [35]

Answer: c. 70\pm (1.96)\dfrac{4.5}{\sqrt{50}}

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where n= sample size

\overline{x} = sample mean.

z*= Critical value.

\sigma= population standard deviation.

As per given , we have

n= 50

\sigma=4.5

\overline{x}=70

Also, we know that the critical value for 95% confidence interval : z*= 1.96

Then, the 95% confidence interval (CI) to estimate the true average score of golfers on this particular course will be :

70\pm (1.96)\dfrac{4.5}{\sqrt{50}} (substitute all the value in the above formula.)

Hence, the correct option is c. 70\pm (1.96)\dfrac{4.5}{\sqrt{50}}

6 0
3 years ago
Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three ti
velikii [3]
X = number of dimes 
x + 2 = number of nickels
3(x + 2) = number of pennies 

10x + 5(x + 2) + 3(x + 2) = 52
10x + 5x + 10 + 3x + 6 = 52
18x = 36
x = 2

x = 2 (number of dimes)
x + 2 = 4 (number of nickels)
3(x + 2) = 12 (number of pennies)

Check:
2(10) = 20 cents in dimes
4(5) = 20 cents in nickels
12(1) = 12 cents in pennies
Total = 52 cents 
7 0
3 years ago
Read 2 more answers
If a student applied force 36N on a bench and it displaced by 4 m how much work did that student do
MAVERICK [17]
<h3>Answer:  144 Joules </h3>

Steps Shown:

Work = Force * Displacement

Work = (36 Newtons)*(4 meters)

Work = (36*4) Newton meters

Work = 144 Newton meters

Work = 144 Joules

Note: The displacement must point in the same direction as the force applied.

8 0
2 years ago
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Quadrilateral A'B'C'D'is the result of rotating quadrilateral ABCD by 60° about the origin.
Slav-nsk [51]

Answer:

a. No

b. Yes

c. No

Step-by-step explanation:

a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.

b. When you rotate a figure none of the angles in the figure change.

c. For D and D' to have the same coordinates the figure must be rotated by 360.

6 0
3 years ago
Which graph represents y−4=2(x−3) ?
lina2011 [118]
First put the equation in point slope form:
y - 4 = 2x - 6
y = 2x - 2
Then graph this, which will look like this

5 0
3 years ago
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