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3 years ago

URGENT. Geometric Probability.

Mathematics

2 answers:

Orlov [11]3 years ago

6 0

Answer:

Step-by-step explanation:

The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:

$A=\frac{1}{2}(6)(6.5)\\A=19.5$

The area of the circle is:

$A=\pi(4)^2\\A=16\pi\\A=50.26548$

Divide the area of the triangle by the area of the circle:

$\frac{19.5}{50.2654}*100=38.8$ %

hichkok12 [17]3 years ago

4 0

Answer:

Hello,

Step-by-step explanation:

heigth of the equilateral triangle:

$h=3*\dfrac{\sqrt{3}}{2}$

Area of the triangle:

$A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\$

Area of the disk:

$S=\pi*4^2=16\pi\\\\$

Probability:

$p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}$

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Find the volume of a

Afina-wow [57]

Answer:

I believe that your answer is 15

Step-by-step explanation:

Because you just add 12+3 .

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3 years ago

A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545 cents, how many d

inn [45]

A dime is worth 10 cents and a quarter is worth 25 cents.

Let D be the number of dimes and Q be the number of quarters.

Since the total amount of coins in the pocket is 32, then:

$D+Q=32$

On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:

$10D+25Q=545$

Notice that we have found a 2x2 system of equations:

$\begin{gathered} D+Q=32 \\ 10D+25Q=545 \end{gathered}$

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

$\begin{gathered} D+Q=32 \\ \Rightarrow D=32-Q \\ \\ 10D+25Q=545 \\ \Rightarrow10(32-Q)+25Q=545 \\ \Rightarrow320-10Q+25Q=545 \\ \Rightarrow25Q-10Q=545-320 \\ \Rightarrow15Q=225 \\ \Rightarrow Q=\frac{225}{15} \\ \\ \therefore Q=15 \end{gathered}$

Replace back Q=15 into the expression for D to find the amount of dimes:

$\begin{gathered} D=32-Q \\ =32-15 \\ =17 \end{gathered}$

Therefore, the amount of dimes that the man has is 17.

7 0

1 year ago

Which represents a quadratic function?

MrMuchimi

THE ANSWER IS B, CAUSE THE HIGHEST EXPONENT FOR A QUADRATIC FUNCTION SHOULD BE 2, AND WHICH A,B AND C SHOULD NOT BE EQUAL TO ZERO. HOPE THIS HELPS!

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3 years ago

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

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4 years ago

The dashed lines show a part of the garden that is in the shape of a square. What is the area, in square feet, of the entire gar

Nina [5.8K]

Answer:

40 square ft

Step-by-step explanation:

If its a square than 20 times 20 equals 40

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3 years ago