Murray tossed a coin 120 times. The coin landed on heads 54 times. Find the theoretical and experimental probability that the next toss will land on heads.

Answer:

1: 250 000

( There are 1000 metres in a km and 100 cm in a m, thus you multiply 5 km by 100 000 to convert it to cm, then you divide by 2 in order to get the simplist form of the ratio )

Answer:

Step-by-step explanation:

1440.

Answer:

C

Step-by-step explanation:

57 is a composite number

Answer:

8192

Step-by-step explanation:

The pattern is mulitply by 2 to get the next term

4*2=8

8*2=16

So: 4,8,16,32,64,128,256,512,1024,2048,4096,8192

Answer:

1-30ft (half circle) /60ft (full circle)

2-22in  (half circle) 44in (full circle)

3-19yd  (half circle) 38yd (full circle)

4-12yd  (half circle) 24 yd (full circle)

5-6in  (half circle) 12 in (full circle)

6 34ft  (half circle) 58 (full circle)

Give brainliest :)

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

The take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.

This means the net income that an individual takes home.

Take-home pay = Annual Salary - Federal Income Tax - FICA - Disability Insurance - Life Insurance

Take-home pay = $42,500 - $8,500 - $3,251 - $2,125 - $$100

Take-home pay = $28,524

Thus, the take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.

Therefore, the Option C is correct.

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The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We know the area in the polar coordinates is given by:

[tex]\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta[/tex]

We have r = sin2θ

Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.

Put this value in the above integration and limit 0 to π/2

[tex]\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta[/tex]

After solving the above integration, we get:

[tex]\rm A = \dfrac{\pi}{8}[/tex]

Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

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The measure of the angle MOP is 61° (Third option)

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Angle MON is a straight angle → ∠MON=180°

∠QON=58° (according to the graph)

OP bisects angle ∠MOQ, then OP divides angle ∠MOQ into two equal angles:

∠MOP=∠POQ=∠MOQ/2  (1)

∠MOQ+∠QON=∠MON

Replacing the known values in the equation above:

∠MOQ+58°=180°

Solving for ∠MOQ: Subtracting 58° on both sides of the equation

∠MOQ+58°-58°=180°-58°

∠MOQ=122°

Replacing ∠MOQ by 122° in the equation (1)

(1) ∠MOP=∠POQ=122°/2

∠MOP=∠POQ=61°

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Answer:

i really dont know, i need help with it too

Step-by-step explanation:

Step-by-step explanation:

the answer s correspond to the way the questions are arranged

-2

0

-1

-1

0

Answer:

1848 cm

Step-by-step explanation:

You would multiply 22 by 10.5 by 8 centimeters which would equal 1848 centimeters.

Answer:

B. Solitary

Step-by-step explanation:

Fur trappers often lived solitary lives in the woods.  They stayed there for months at a time.  Their life was not predictable, they might not find many animals in their area.  Their life was not refined, they lived in rough cabins in the middle of the forest.  Their life was not civilized, since they barely had many of the comforts of life.

The expression [tex]\frac{(-6.4)^8}{(-6.4)^6}[/tex] is an exponential expression and the value of the expression is 40.96

The expression is given as:

[tex]\frac{(-6.4)^8}{(-6.4)^6}[/tex]

Expand the expression by applying the law of indices

[tex]\frac{(-6.4)^8}{(-6.4)^6} = (-6.4)^{8-6}[/tex]

Evaluate the difference

[tex]\frac{(-6.4)^8}{(-6.4)^6} = (-6.4)^2[/tex]

Evaluate the exponent

[tex]\frac{(-6.4)^8}{(-6.4)^6} = 40.96[/tex]

Hence, the value of the expression is 40.96

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Answer: 570 total calories

Step-by-step explanation:

450 calories in 50 grams of fat

120 calories in 30 grams of protein

120 + 450= 570

Answer:

Let a two digit number be, 10x + y.

75% of the number is,

= 75 % of (10 x + y)

= 75/100 × (10x+y)

= 3/4 × ( 10x + y)

According to the question, When increased by 75%, The digits must be reversed.

So,

(10 x + y) + 3/4 ( 10x + y) = 10y + x

4 (10x + y) + 3 ( 10x + y) = 4 ( 10y + x)

7(10x + y) = 4(10y + x)

70x + 7y = 40y + 4x

70x - 4x = 40 y - 7y

66x = 33y

2x = y

So,

x = 1, y = 2, 10x + y = 12

x = 2, y = 4, 10x + y = 24

x = 3, y = 6, 10x + y = 36

x = 4 , y = 8 , 10x + y = 48

x can't be 5, as y will be 10 ( y should be a single digit).

Therefore, 4 two digit numbers are possible.

Answer:

FA Is the closest so thats your answer.

Step-by-step explanation:

By dividing both sides by 3, we conclude that each person gets $6.25.

Here we want to solve the equation:

3n = 18.75

for n.

Remember that if we perform the same operation in both sides of the equality, then the equality remains true.

So here we can divide both sides of the equation by 3, so we get:

(3n)/3 = 18.75/3

n = 18.75/3 = 6.25

n = 6.25

So we can conclude that each one gets $6.25

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Answer:

its just like doing normal area just work it out then add the different sdhapes areas together

Step-by-step explanation:

Answer:

230 tickets

Step-by-step explanation:

Create a proportion using the given information:

Let's set x equal to the number of tickets that need to be sold.

[tex]\frac{207}{90} =\frac{x}{100}[/tex]

Cross multiply and you get:

[tex]90x=20700\\[/tex]

Then divide both sides by 90 to get:

[tex]x = 230[/tex]

This means that 230 tickets need to be sold in order to fill all of the seats on the flight.

Answer:

V = 58.14 ft²

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Bh ( h is the perpendicular height )

here B = 11.4 and h = 5.1 , then

V = 11.4 × 5.1 = 58.14 ft²

Answer:

V = 58.14 ft³

Step-by-step explanation:

V = B × h

  = 11.4×5.1

  = 58.14 ft³

The value of arcsin(1) is 90° and the value of arctan√3 is 60°

From the question, we are to determine the values of arcsin(1) and arctan√3. That is, sin⁻¹ (1) and tan⁻¹(√3)

NOTE:

If sin x° = y, then sin⁻¹ y = x°

If cos x° = y, then cos⁻¹ y = x°

If tan x° = y, then tan⁻¹ y = x°

From the trigonometry table of values, we have that

sin 90° = 1

∴ sin⁻¹ (1) = 90°

arcsin(1) = 90°

Alos, from the trigonometry table of values, we have that

tan 60° =  √3

∴ tan⁻¹(√3) = 60°

arctan√3 = 60°

Hence, the value of arcsin(1) is 90° and the value of arctan√3 is 60°

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The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the total cost of x tickets.

From the table:

1 ticket cost $4, hence:

y = 4x

The cost of 6 tickets is:

y = 4(6) = 24

The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24

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Answer:

Option B is correct.

Explanation:

Remove the denominators:

[tex]\sf \rightarrow \dfrac{1}{2}x - \dfrac{1}{5} y = 2[/tex]

make the denominator's same

[tex]\sf \rightarrow \dfrac{5}{10}x - \dfrac{2}{10} y = 2[/tex]

Join the fraction's:

[tex]\sf \rightarrow \dfrac{5x-2y}{10} = 2[/tex]

Multiply both sides by 10

[tex]\sf \rightarrow {5x-2y} = 20[/tex]

Remove the denominators:

[tex]\rightarrow \sf x + \dfrac{2}{3}y =5[/tex]

make the denominator's same

[tex]\rightarrow \sf \dfrac{3x}{3} + \dfrac{2}{3}y =5[/tex]

Join the fraction's:

[tex]\rightarrow \sf \dfrac{3x+2y}{3} =5[/tex]

Multiply both sides by 3

[tex]\rightarrow \sf 3x+2y} =15[/tex]

Answer:

B)  5x - 2y = 20  and  3x + 2y = 15

Step-by-step explanation:

Rewrite both equations in standard form:

Equation 1

[tex]\dfrac{1}{2}x-\dfrac{1}{5}y=2[/tex]

Multiply both sides by 10:

[tex]\implies \dfrac{1 \cdot 10}{2}x-\dfrac{1 \cdot 10}{5}y=2 \cdot 10[/tex]

[tex]\implies \dfrac{10}{2}x-\dfrac{10}{5}y=20[/tex]

[tex]\implies 5x-2y=20[/tex]

Equation 2

[tex]x+\dfrac{2}{3}y=5[/tex]

Multiply both sides by 3:

[tex]\implies x \cdot 3+\dfrac{2 \cdot 3}{3}y=5 \cdot 3[/tex]

[tex]\implies 3x+2y=15[/tex]

Therefore, the equivalent system is:

5x - 2y = 20  and  3x + 2y = 15

By using trigonometric relations, we see that the horizontal distance is 196.6.

Remember the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

In this case, the adjacent cathetus is the horizontal distance between the towers, the opposite cathetus is 40, and the angle is 11.5°.

Then we can write:

tan(11.5°) = 40/x

Solving for x:

x = 40/tan(11.5°)

This is the equation that you got, and it gives:

x = 40/tan(11.5°) = 196.6

Why you don't get this?

The problem may be that your calculator is in radians instead of degrees. It should say "DEG" instead of "RAD" if you want to evaluate trigonometric functions in degrees.

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Answer: 8 units

Step-by-step explanation:

  We will use the distance formula.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(-4-4)^2 +(7-7)^2}[/tex]

[tex]\displaystyle d=\sqrt{(-8)^2 +(0)^2}[/tex]

[tex]\displaystyle d=\sqrt{64[/tex]

d = 8

CALCULATE THE AREA

=LENGTH X BREADTH

=6M X 1M

[tex]6 {m}^{2} [/tex]

NOW CHANGE THE METRES TO MILLIMETRES

=1000MM=1M

SO,IF 1M=1000MM

THEN 6M=MORE

IF MORE LESS WILL DIVIDE

GIVING YOU

[tex] \frac{6}{1} \times 1000mm[/tex]

[tex]6000mm[/tex]

Answer:

234 students

Step-by-step explanation:

% Don't ride the bus = 100% - % Ride the bus

Number of students who don't ride the bus :