What is nearest tenth of 0.273

Answers

Answer 1

Answer:

Answer:

0.3

To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.

0.273 rounded to the nearest tenth = 0.3

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 296 people entered the park, and the admission fees collected totaled 844.00 dollars. How many children and how many adults were admitted?
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Which expression is equivalent to 4^ 5x4^ -7÷4 ^-2?4^ -44^ 04^ 5÷4^9(4^5)(4^-2)/4^-7

Wat does PAYE stands for?

Answers

Answer:

P = Pay.

A = As.

Y = You.

E = Earned.

Step-by-step explanation:

PAYE Stands for pay as you earned.

The owner of the Rancho Grande has 3020 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area he can enclose?shorter side yd
longer side yd

What is this area?
yd2

Answers

Answer:

Shorter side = 755 yd

longer side = 1510 yd

A(max) = 1140050 yd²

Step-by-step explanation:

The owner has 3020 yd of fencing

Lets assume:

x the shorter side of the rectangle ( we will use fencing in two sides of length x )

y the longer one

A area of the rectangle and P the perimeter of the rectangle ( we have only three sides covered by fencing material)

We have: A = x * y P = 2 * x + y ⇒ y = P - 2*x ⇒ y = 3020 - 2* x

A (x) = x * ( 3020 - 2*x) ⇒ A(x) = 3020 * x - 2* x²

Taken derivative

A´(x) = 3020 - 4 * x

If A´(x) = 0 3020 -4*x = 0 ⇒4*x = 3020 x = 755 yd

If we take second derivative A´´(x) = -4

so A´´(x) < 0 so there is a maximun in point x = 755

Then

Rectangle dimensions :

x = 755 yd ⇒ y = 3020 - 2 * x ⇒ y = 3020 - 2 * (755) y = 1510 yd

Maximum area is : A(max) = 1510 * 755 ⇒ A(max) = 1140050 yd²

Final answer:

To get the largest area, 3020 yards of fencing is divided equally to form a rectangular grazing piece. Each side is 1510 yards, leading to a total area of 2,280,100 square yards.

Explanation:

We are given a total of 3020 yards of fencing which is used to fence two sides of a rectangle, with a river enclosing the third side. The largest area of a rectangle is obtained when the rectangle is a square. However, since one of the sides is the river, and hence not fenced, the rectangle is not square but should be as close to a square as possible to give the maximum area.

The optimum distribution is dividing the fence into two equal parts for both sides of the rectangle, so each side will be 3020 / 2 = 1510 yds. The dimensions of the largest area he can enclose are: shorter side = yd, longer side = 1510 yds.

The area of this rectangular grazing land would then be 1510 yd * 1510 yd = 2,280,100 yd2.

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There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign

Answers

Answer:

Step-by-step explanation:

Given that each zodiac sign occupies 1/12 of a year.

Then the minimum number of persons for Y[all different signs] < 0.5,

The probability of at least two having the same sign is 1 minus the probability of all having different signs.

This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5

Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38

This implies that the lowest number will be found to be 5

Hence, the correct answer is 5.

Final answer:

To have at least a 50% chance that two or more people share the same Zodiac sign, there must be 13 people. This is based on the Pigeonhole Principle in probability theory.

Explanation:

This question is related to the field of probability theory. It can be solved using the principle of the Pigeonhole Principle, which states that if there are more items than containers, at least one container must hold more than one item.

Let's visualize each Zodiac sign as a container. If we have 12 people (items), each one can occupy a different Zodiac sign (container), without any sign repeating. Therefore, the probability of two people sharing a zodiac sign would be less than 50% at this point.

However, once we introduce the 13th person, regardless of their Zodiac sign, they would have to 'share' a container (be born under a sign that at least one other person was born under) since there are only 12 Zodiac signs. Therefore, for there to be a 50% chance that two or more people share a Zodiac sign, there would need to be 13 people.

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A baseball player leads off the game and hits a long home run. The ball contacts the bat about 5 ft. above the ground with a velocity of 16.0 ft./s. At what time will the ball hit the ground?