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3 years ago

Which ratio best defines theoretical probability?

Mathematics

2 answers:

8_murik_8 [283]3 years ago

8 0

Answer:

Number of favorable outcomes:Number of possible outcomes

Step-by-step explanation:

Theoretical probability is found by comparing the number of ways an event can occur, also called the number of favorable outcomes, to the total number of possible outcomes.

Morgarella [4.7K]3 years ago

3 0

Answer: Second option is correct.

Step-by-step explanation:

Since we know that Theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes.

It means the possibility of favorable outcome out of all possible outcomes.

Mathematically, it is expressed as :

$Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}$

Hence, Second option is correct.

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Find the value of the variable.

NemiM [27]

Answer:

x=y[base side of isosceles triangle]

x²+y²=19²

x=√{19²/2)}

x=13.44

y=13.44

7 0

2 years ago

Find the surface area plz

vladimir1956 [14]

Hi again! ;)

If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.

Since each side of a square is the same, we first find the area of one surface:

9 × 9 = 81

Then, to find the surface area, we multiply 81 by 6:

81 × 6 = 486

The surface area is
$486 \: {in}^{2}$

7 0

3 years ago

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at

antiseptic1488 [7]

Answer:

W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90

3 0

2 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

Can’t pls help me with this question

mixer [17]

Answer:

Let

Total number of people (T)=1600

those satisfied with the car (t) =720

The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100

=> S=(T/t)*100

S=(720/1600)*100

S=45%

Step-by-step explanation:

6 0

2 years ago