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3 years ago

A coin has heads on one side and tails on the other. The coin is tossed 12 times and lands

Mathematics

1 answer:

Fynjy0 [20]3 years ago

3 0

Answer:

D, the observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.

Step-by-step explanation:

As of now, the observed frequency states that the coin will land on heads 4/12 times. The expected frequency states that the coin will land on heads 50% of the time, or 6/12 times. As the number of trials increases, the observed frequency will get closer to the expected frequency.

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Plz help meeeeeeeeeee

PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

= (45 × 4) / 3

= 180/3

= 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

= 27/12

= 9/4

= 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

= 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

= 3/2

= 1.5

Thus, the complete table:

Miles 45 135 180 90

Hours 3/4 9/4 3 3/2

Verification:

Miles / Hour = 45/(3/4) = 60

Miles / Hour = 135 / 2.25 = 60

Miles / Hour = 180 / 3 = 60

Miles / Hour = 90 / 1.5 = 60

8 0

2 years ago

Find the area of the following figure.

Zigmanuir [339]

Answer:

312

Step-by-step explanation:

Triangles

1/2 12 *10 = 6*10 = 60

there are two triangles meaning we have to multiply 60 by 2 = 120

Rectangle

12*16 = 192

Add the two and you have the area 120+192=312

5 0

3 years ago

Yesterday the temperature at noon was 11.4°F by midnight the temperature had decreased by 15.7° what was the temperature at midn

lina2011 [118]

11.4 - 15.7 = -4.3. The temperature at midnight is -4.3°F.

Hope this helps! Have a great day :)

3 0

2 years ago

Read 2 more answers

frutty [35]

Answer:

The answer is B

Step-by-step explanation:

3 0

3 years ago

Just number 9 would be fine please but also if you could number 10 would help

topjm [15]

Answer:

9. a = -7

10. x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

a + 6a - 14 = 3a + 6a

Step 2: Solve for a

Combine like terms: 7a - 14 = 9a
Subtract 7a on both sides: -14 = 2a
Divide 2 on both sides: -7 = a
Rewrite: a = -7

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Substitute in a: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
Multiply: -7 - 42 - 14 = -21 - 42
Subtract: -49 - 14 = -63
Subtract: -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

Step 4: Define equation

-12 - 4x = 8x + 4(1 - 7x)

Step 5: Solve for x

Distribute 4: -12 - 4x = 8x + 4 - 28x
Combine like terms: -12 - 4x = -20x + 4
Add 20x on both sides: -12 + 16x = 4
Add 12 on both sides: 16x = 16
Divide 16 on both sides: x = 1

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -12 - 4(1) = 8(1) + 4(1 - 7(1))
Multiply: -12 - 4 = 8 + 4(1 - 7)
Subtract: -16 = 8 + 4(-6)
Multiply: -16 = 8 - 24
Subtract: -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

7 0

2 years ago