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3 years ago

I toss a coin 20 times. comes up "Heads" 7 times. What is the 1 point

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

Answer in fraction form = 7/20

Answer in decimal form = 0.35

Answer in percent form = 35%

These are three ways to say the same thing.

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Explanation:

To get the relative frequency, you divide the number of times heads comes up out of the number of tosses total. Reduce the fraction as much as possible. In this case, 7 and 20 have no factors (other than 1) in common. So the fraction 7/20 cannot be reduced further.

The fraction 7/20 converts to the decimal form 0.35 after using a calculator or long division.

0.35 converts to 35% after moving the decimal over to the right two spots.

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The volume of a trapezoidal prism is 24 cubic units. It's height is 6 units, as labeled. What is the area of a trapezoidal base

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Answer:

Area of trapezoidal base = 4 square units.

Step-by-step explanation:

We know that volume of a prism is known as :

$V = B \times h$

where B is Area of Base

and h is Height of prism

NOTE: Formula for Volume of a prism can be generalized as above irrespective of the type of base it has (base can be of type triangle, rectangle, square or trapezoidal etc).

Here, we are given that Base is trapezoidal.

h is 6 units and

Volume V is 24 cubic units.

And we have to find out the value of B.

Putting the above values in above formula:

$24 = B \times 6\\\Rightarrow B = \dfrac{24}{6}\\\Rightarrow B = 4 \text { square units}$

Hence, area of trapezoidal base = 4 square units.

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3 years ago

Using the remainder theorem which quotient has a remainder of 20?

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Answer:

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

divided by (x + 4 ), then a = - 4

$(-4)^{4}$ - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

divided by (x - 2), then a = 2

3 $(2)^{4}$ - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

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Read more on Brainly.com - brainly.com/question/2259092#readmore

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