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3 years ago

8

A fair coin is tossed 100,000 times. the number of heads is recorded. what is the probability that there are between 49,800 and

50,200 heads?

1 answer:

Natali5045456 [20]3 years ago

4 0

Make it 49800/50000 and 50200/50000 and then compare.

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You have a wire that is 29 cm long. you wish to cut it into two pieces. one piece will be bent into the shape of a square. the o

Nostrana [21]

C = circumference of circle
p = perimeter of square
c + p = 29
p = 29 - c

side of square = (29 - c)/4
radius of circle = c/(2pi)

a = side^2 + (pi)r^2

a = ((29 - c)/4)^2 + pi * (c/(2pi))^2

a = (1/16)(841 - 58c + c^2) + (c^2/(4pi^2)) * pi

a = 52.5625 - 3.625c + c^2/16 + c^2/(4pi)

Since the 2nd degree term has a positive coefficient is positive, this has a graph that is a parabola opening up. It has a minimum value.

We take the derivative of the area expression and set equal to zero to find the minimum circumference.

da/dc = -3.625 + c/8 + (c/(2pi)) = 0

c = 12.76

Answer: 12.76 cm

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3 years ago

Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal

Nikolay [14]

Answer:

$\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}$

Step-by-step explanation:

Given: Monica wants to measure the dimensions of her rectangular lawn.

If the longer side of the lawn is BC=(x + 3) feet.

If the diagonal length is AC=(x + 4) feet.

Let the shortest side of lawn is AB=y feet

The angle of rectangle is right angle.

Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.

Using Pythagoreous theorem,

$AB^2+BC^2=AC^2$

$y^2+(x+3)^2=(x+4)^2$

$y^2=(x+4)^2-(x+3)^2$

$y^2=x^2+16+8x-x^2-9-6x$

$y^2=2x+7$

$y=\pm \sqrt{2x+7}$

We will ignore the negative value because side of rectangle can't be negative.

$y=\sqrt{2x+7}\text{ feet}$

$\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}$

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3 years ago

Question 21 of 25

Korvikt [17]

Answer:

12

Step-by-step explanation:

Coefficient is the number before the variable

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50 + 78 + 4/5r = 180

g100num [7]

Answer:

r= 1/65

explanation in pics

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Which equation should be used to find the volume of the figure? A rectangular pyramid with a base of 10 centimeters by 6 centime

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Answer:

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