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3 years ago

Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point

Mathematics

2 answers:

vitfil [10]3 years ago

6 0

Answer:

y+4=-(2/5)(x-5)

y=-(2/5)x-2

2x+5y=-10

Step-by-step explanation:

natta225 [31]3 years ago

4 0

Answer: 2x + 5y = - 10, Cy + 4 = (x-5)

Dy - 4 = (x+ 5)

Step-by-step explanation:

Equation of the line

5x - 2y = -6

Conditions for perpendicularity

m1 x m2 = -1

To get m1, rearrange the equation

2y = 5x + 6

y = 5x/2 + 3

n1 = 5/2 and m2 = -2/5

To get C

y = mx +c

-4 = -2 x 5/5 + C

-4 = -2 + C

C = -4 + 2

C = -2

To get the equation of the second line

y = -2x/5 - 2

Multiply through by 5

5y = -2x - 10

2x + 5y = 10.

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The temperature in Fairbanks, Alaska, changed from 0F at 6 pm to 4F at 11 pm . Between 11 pm and 5 am , the temperature dropped

Nat2105 [25]

I think in order to answer we have to the options

7 0

3 years ago

Seven thousand lottery tickets are sold for $5 each. One ticket will win $2,000, two tickets will win $750 each, and five ticket

Keith_Richards [23]

Answer:

a) The distribution for the random variable X is given by:

X | -5 | 95 | 745 | 1995 |

P(X) | 6992/7000 | 5/7000 | 2/7000 | 1/7000 |

b) E(X)=-4.43. That means if we buy an individual ticket by $5 on this lottery the expected value of loss if $4.43.

c) $Sd(X)=\sqrt{Var(X)}=\sqrt{738.947}=27.184$

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Part a

The info given is:

N=7000 represent the number of tickets sold

$5 is the price for any ticket

Number of tickets with a prize of $2000 =1

Number of tickets with a prize of $750=2

Number of tickets with a prize of $100=5

Let X represent the random variable net gain when we buy an individual ticket. The possible values that X can assume are:

___________________________

Ticket price Prize Net gain (X)

___________________________

5 2000 1995

5 750 745

5 100 95

5 0 -5

___________________________

Now we can find the probability for each value of X

P(X=1995)=1/7000, since we ave just one prize of $2000

P(X=745)=2/7000, since we have two prizes of $750

P(X=95)=5/7000, since we have 5 prizes of $100

P(X=-5)=6992/7000. since we have 6992 prizes of $0.

So then the random variable is given by this table

X | -5 | 95 | 745 | 1995 |

P(X) | 6992/7000 | 5/7000 | 2/7000 | 1/7000 |

Part b

In order to calculate the expected value we can use the following formula:

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

And if we use the values obtained we got:

$E(X)=(-5)*(\frac{6992}{7000})+(95)(\frac{5}{7000})+(745)(\frac{2}{7000})+(1995)(\frac{1}{7000})=\frac{-31000}{7000}=-4.43$

That means if we buy an individual ticket by $5 on this lottery the expected value of loss if $4.43.

Part c

In order to find the standard deviation we need to find first the second moment, given by :

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

And using the formula we got:

$E(X^2)=(25)*(\frac{6992}{7000})+(9025)(\frac{5}{7000})+(555025)(\frac{2}{7000})+(3980025)(\frac{1}{7000})=\frac{5310000}{7000}=758.571$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =758.571-(-4.43)^2 =738.947$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{738.947}=27.184$

5 0

4 years ago

Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate?

devlian [24]

Its a recurring decimal that does not terminate

1/3 = 0.3333333.......

4 0

3 years ago

Read 2 more answers

At the fair, the Double Shot

xz_007 [3.2K]

Answer:

166.6

Step-by-step explanation:

That;s what I got am not sure

7 0

3 years ago

8. The endpoints of ST are $(-3, 2) and T(5,8). Find the coordinates of

Nezavi [6.7K]

Answer:

Option (A)

Step-by-step explanation:

If the extreme ends of a segment are $(x_1, y_1)$ and $(x_2,y_2)$ ,

Coordinates of the mid-point will be = $[\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}]$

And the length of the segment is = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Coordinates of the extreme ends of the ST are S(-3, 2) and T(5, 8).

Therefore, coordinates of the midpoint of ST will be = $(\frac{-3+5}{2},\frac{2+8}{2})$

= $(1,5)$

Length of ST = $\sqrt{(5+3)^2+(8-2)^2}$

= $\sqrt{64+36}$

= 10 units

Option (A) will be the answer.

6 0

3 years ago