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sesenic [268]
3 years ago
10

What is the algebraic way to solve -10(x-17) = -3 ? Please provide the correct solution :)

Mathematics
2 answers:
suter [353]3 years ago
5 0

Answer:173/10

Step-by-step explanation:

Rzqust [24]3 years ago
4 0

Answer:

x= 17.3

Step-by-step explanation:

-10(x-17) = -3                 equation

-10x + 170 = -3             multiply -10 to everything in parenthesis

-10x = -173                   subtract 170 from both sides of the equation

\frac{-10x}{-10}  =\frac{-173}{-10}                  divide -10 from both sides

x= 17.3

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Answer:

Step-by-step explanation:

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3 years ago
The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true
Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478

<u>Part B</u>

P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

<u>Part C</u>

\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971

6 0
3 years ago
A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s
Elodia [21]

Step-by-step explanation:

❁ \underline{ \underline{ \text{Given} }}:

  • Mass of a large rock ( m ) = 4.0 kg
  • Velocity ( v ) = 2.0 m/s

❁ \underline{ \underline{ \text{ \: To \: find}}}:

  • Momentum ( p )

✑ \underline{ \underline{ \text{Solution}}} :

\boxed{ \underline{ \sf{Momentum \:  =  \: mass \:  \times  \: velocity}}}

plug the known values :

⟹ \sf{Momentum = 4.0 \: kg \:  \times  \: 2.0 \:m/s }

⟹ \sf{Momentum = 8 \: kg \: m/s}

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer :   \bold{ \underline{8} }\: kg*m/s}}}}

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ \underline{ \underline{ \text{Learn \: more about \: momentum}}}:

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0
3 years ago
Solve 2(x + 1) = 2x + 5.​
algol13
Answer—> no solution
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Given that the value of x is between 0 and 360 degrees (0 and 360
Brums [2.3K]

Answer:

  • 150° and 210°
  • 0

Step-by-step explanation:

It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.

__

<h3>20.</h3>

You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.

Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are

 150° and 210°

__

<h3>Bonus</h3>

  You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...

  √2/2 + (-√2/2) = 0

_____

<em>Additional comments</em>

Your calculator can help you with both of these problems.

The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).

6 0
2 years ago
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