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den301095 [7]
4 years ago
15

The speeds of vehicles on a highway with speed limit 100 km/h are normally distributed with mean 111 km/h and standard deviation

6 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed?
Mathematics
1 answer:
Vsevolod [243]4 years ago
5 0

Answer:

Liberation Theology  

Step-by-step explanation:

Liberation Theology :

A religious movement particularly among Roman Catholic ministry in Latin America that joins political theory normally of a Marxist direction with a religious philosophy of salvation as freedom from shamefulness

Liberation theology philosophy looks to decipher the activities of the Catholic Church and the lessons of Jesus Christ from the point of view of poor people and burdened.

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. The area of a right triangle is 30 ft2. The base of the triangle is 12 ft. What is the length of the hypotenuse? Show
fgiga [73]

Answer:

The height is 5ft

Step-by-step explanation:

We know the area is 30ft^2 and the base is 12 ft.

Plug that information in the formula for the area of a triangle,

Formula for area of a triangle:

A = (1/2)bh  (area is one half of the product of    the base and height)

The question gives us A = 30, and b = 12.  We can plug them in and find h

30 = (1/2)(12)h

Now solve for h

  30 = 6h         (1/2)(12) means '12 times one half' or 'half of 12' which is 6

  5 = h              (30 divided by 6 is equal to 5)

5 0
4 years ago
HELP! NOW! <br> Prove the trig identity:<br> 3sinx/1-cosx=3cscx+3cotx
vichka [17]

Step-by-step explanation:

Given

To Prove

\dfrac{3\sin x}{1-\cos x}=3\csc x+3\cot x

Take the Left side of equation and rationalize

\Rightarrow \dfrac{3\sin x}{1-\cos x}\times \dfrac{1+\cos x}{1+\cos x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{1-\cos^2 x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{\sin^2 x}\\\\\Rightarrow \dfrac{3\sin x}{\sin ^2x}+\dfrac{3\sin x\cos x}{\sin^2 x}\\\\\Rightarrow \dfrac{3}{\sin x}+\dfrac{3\cos x}{\sin x}\\\\\Rightarrow 3\csc x+3\cot x

Left side is equal to right side

Hence, proved

5 0
3 years ago
Pls pls pls pls pls help
raketka [301]

Answer:38x-34

Step-by-step explanation:

f(x)=x^2+3x-7

g(x)=5x-3

We multiply the entire F equation times two, (x^2+3x-7)*4=

(4x^2+12x-28)

Now the entire g equation by 2, (5x-3)*2

(10x-6)

Now we add both equation

(4x^2+12x-28)+(10x-6)

(4x^2+22x-34)

(4x*4x+22x-34)

(16x+22x-34)

38x-34

Hopefully this is correct :)))

7 0
3 years ago
Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). T
Phantasy [73]

Answer:

B (-2, 3)

Step-by-step explanation:

Just took quiz

4 0
3 years ago
Read 2 more answers
Money is borrowed at 12
tiny-mole [99]
Because 1023.68 is 112% of the loan, you can divide by 1.12 to get 914, which is the answer
3 0
3 years ago
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