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alexandr402 [8]
3 years ago
12

On a trip Dylan sees 125 vehicles with Montana plates and 40 with non-Montana plates. On the trip back, what is the experimental

probability that the first car he sees is from Montana?
Mathematics
2 answers:
DaniilM [7]3 years ago
7 0
There is a
\frac{25}{33}
chance tht is is a car from montana
Bogdan [553]3 years ago
7 0

Just put the two numbers together so 22/33

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Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ
labwork [276]
(sec x - tan x)^2 \\  \\ = sec^2x - 2 sec x tan x + tan^2 x \\  \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\  \\ =1 - 2 sec x tan x + 2 tan^2 x \\  \\ = 1 - 2tan x(sec x - tan x) \\  \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\  \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\  \\ =1-\frac{2 sin x}{1+sin x}
3 0
3 years ago
Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.
lbvjy [14]

Given:

The equation is:

(2x+3y)(2x-3y)=4x^2+6y^2

To find:

The error in the given equation and correct it.

Solution:

We have,

(2x+3y)(2x-3y)=4x^2+6y^2

Taking left-hand side, we get

L.H.S.=(2x+3y)(2x-3y)

L.H.S.=(2x)^2-(3y)^2                 [\because a^2-b^2=(a-b)(a+b)]

L.H.S.=(2)^2(x)^2-(3)^2(y)^2       [\because (ab)^x=a^xb^x]

L.H.S.=4x^2-9y^2

It is not equal to right-hand side 4x^2+6y^2. In the right hand side, there must be a negative sign instead of positive sign.

Therefore, (2x+3y)(2x-3y)=4x^2-6y^2.

8 0
3 years ago
The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, co
zaharov [31]

Answer:

The mean number of the children is 1.2

<em></em>

Step-by-step explanation:

Given

Children: 0, 1, 2, 1, 2

Required

Determine the Mean number

The mean of a set is calculated as follows;

Mean = \frac{\sum x}{n}

Where x is the given set and n is the number of sets

In this case, n = 5 children

Hence;

Mean = \frac{0 + 1 + 2 + 1 + 2}{5}

Mean = \frac{6}{5}

Mean = 1.2

<em>Hence, the mean number of the children is 1.2</em>

3 0
3 years ago
How do you graph <br> y=3x and y=-x-8
laila [671]

Answer:

The points for the given two linear equation as

x_1 , y_1 = - 2 , - 6

x_2 , y_2 = - 2 , 6

The graph so plotted as shown

Step-by-step explanation:

Given as :

The two linear equation are

y = 3 x                 ........A and

y = - x - 8             .........B

Solving equation A and B

Now, Put The value of y from eq A into eq B

So, 3 x = - x - 8

Or, 3 x + x = - 8

Or, 4 x = - 8

∴ x = \dfrac{-8}{4}

I.e x = - 2

Now , Put the value of x into eq A

∵ y = 3 x

∴ y = 3 × (-2)

I.e y = - 6

Again, Put the value of x into eq B

∵ y = - x - 8

∴ y = - 2 - (-8)

I.e y = 6

So, for x = - 2 , y = - 6

And for x = - 2 , y = 6

Hence , The points for the given two linear equation as

x_1 , y_1 = - 2 , - 6

x_2 , y_2 = - 2 , 6

The graph so plotted as shown . Answer

8 0
3 years ago
What is 6.42 written as a fraction in lowest terms?
IrinaVladis [17]

Answer:

315/50

Step-by-step explanation:

trust me bro!

6 0
2 years ago
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