A coin is tossed 10 times resulting in 7 heads and 3 tails. The same coin is tossed 1000 times resulting in 510 heads and 490 tails. What is the theoretical probability of getting heads with this coin?A. 51%
B. 70%
C. 50%
D. 49%

Answers

Answer 1

Answer: The answer is C. 50%.

The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .one probability of two probability in total (head and tail).

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Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units

Answers

Answer:

4 sq. units

Step-by-step explanation:

Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.

We can see that for this polygon, opposite sides are parallel and equal to each other.

To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:

The length is the distance between (1, 2) and (3, 2):

$length=√((3-1)^2+(2-2)^2) =2\ units\n$

The breadth is the distance between (3, 2) and (3, 0):

$length=√((3-3)^2+(0-2)^2) =2\ units\n$

Since length = breadth, hence this is a square.

Area= length * breadth = 2 * 2 = 4 sq. units

How to solve 5(x-3)+2=7?step by step please help me math tutor. Right answer only.

Answers

$5(x-3)+2=7$

$(5*x)+(5*-3)+2=7$

$5x-15+2=7$

$5x-13=7$

$5x-13+13=7+13$

$5x=20$

$(5x)/(5) = (20)/(5)$

$x=4$

Really need help lol...Kristin lives in Alaska. She drives a car with a 12-gallon fuel tank. When Kristin fills her empty gas tank in Alaska, she has to pay a federal gasoline
tax of $.18 (or 18 cents) per gallon, plus a state gas tax of 8 cents ($.08) per gallon. Her taxes paid for a gallon of gas equal 26 cents.

You can calculate the percentage of a purchase that goes to taxes by dividing the tax amount by the total sale price. If Kristin buys gas at $3.69 per gallon, which includes all taxes, what percentage of the price is the state tax? What percentage is the federal tax?

Answers

The first sentence in the second paragraph tells you exactly
how to work this exercise.

For every gallon:

Total sale price = $3.69

State tax = $0.08
Fraction that goes for state tax =

   (0.08 / 3.69) = 0.0217 = 2.17 % .

Federal tax = $0.18
Fraction that goes for federal tax =

   (0.18 / 3.69) = 0.0488 = 4.88 % .

Extra info that's not asked for:

Total amount of the sale price that goes for taxes =

   2.17% + 4.88% = 7.05 % .

Check that: (0.18 + 0.08) / (3.69)

   = ( 0.26 / 3.69 ) = 0.0705 = 7.05 %    yay!

Graph each pair of parametric equations.
x = 3 sin^3t
y = 3 cos^3t

Answers

Answer with explanation:

We are given a parametric equation as:

$x=3 \sin^3 t$

and $y=3 \cos^3 t$

Hence, we can represent our equation as:

$\sin^3 t=(x)/(3)\n\n\n\sin t=((x)/(3))^{(1)/(3)}\n\n\nHence,\n\n\sin^2 t=((x)/(3))^{(2)/(3)}\n\nand\ similarly\n\n\cos^3 t=(y)/(3)\n\n\cos t=((y)/(3))^{(1)/(3)}\n\nHence,\n\n\cos^2 t=((y)/(3))^{(2)/(3)}$

As we know that:

$\cos^2 t+\sin^2 t=1$

Hence, on putting the value in the formula we get the equation in rectangular coordinates as:

$((x)/(3))^{(2)/(3)}+((y)/(3))^{(2)/(3)}=1$

Hence, this is a equation of a ASTROID.

Hello,

This is an astroïde.

(x/3)^(2/3)+(y/3)^(2/3)=1

Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.please and thank you

Answers

Keywords:

average rate of change, parabola, interval, points

For this case we have to find the average rate of change of a parabola in the interval from $x = -2$ to $x = 0$ . To do this, we need two points for the parabola pass, and apply the following formula: