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SpyIntel [72]
4 years ago
15

Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.

Mathematics
1 answer:
AVprozaik [17]4 years ago
6 0

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

We know the formula of length of perpendicular from a point (x_{1}, y_{1} ) to the straight line ax + by + c = 0 is given by  

\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}

Therefore, in our case the perpendicular distance is  

\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

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A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
Lubov Fominskaja [6]

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

8 0
3 years ago
parking garage has 5 floors. If 117 cars can be parked on each floor, how many total cars can park in the garage? Drag numbers t
mr Goodwill [35]

Answer:

585 cars

Step-by-step explanation:

Given

Floors = 5

Cars = 117 per floor

Required

Determine the total number of cars

This is calculated by multiplying number of cars per floor by number of floors.

Total = Floors*Cars

Total = 5  * 117

Total = 585

<em>Hence, there are 585 cars in total</em>

6 0
3 years ago
0.5 to the second power x (20-2 to the third power x 3)x(2/5x25)
lesantik [10]

Answer:

489

Step-by-step explanation:

4 0
3 years ago
List the next four multiples of 4/8
8090 [49]
Next four multipules of 4/8
to keep the value of 4/8  the same, we must multiply the top number and bottom number by the same thing
4/8 times 2/2=8/16
4/8 times 3/3=12/24
4/8 times 4/4=16/32
4/8 times 5/5=20/40

next 4 multipulees are
8/16, 12/24, 16/32, 20/40
5 0
3 years ago
The Sydney Morning Herald - February 8, 2004 reported that in 1961, the average number of children born to Australian women (3.5
Alborosie

Answer:

<h2>A. Agree, 4 children is the most typical number of children.</h2>

Step-by-step explanation:

By analysis the problem, we can make our  decision by first determining the percent of 3.55 of 4

therefore the percentage can be computed as

=(3.55/4)*100

=0.8875*100

=88.75%

The analysis above it shows that 88.75 percent of the women who give birth to children give birth to 4 children.

This number is very close to a hundred percent hence the statistical claim is  "Agree, 4 children is the most typical number of children."

3 0
3 years ago
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