MATHEMATICS HIGH SCHOOL

Round 496.739386253 to the nearest whole number.

Answers

Answer 1
Answer:

Answer:

497

Step-by-step explanation:

If x ≥ 5, we round up.

If x < 5, we round down.

Since 7 ≥ 5, we round 496.739386253 to 497.
Answer 2
Answer:

Answer:

467

Step-by-step explanation:

7 is greater than 5 so the six is rounded to a 7

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Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form.5/6- 2/5
Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?0.13% 0.87% 49.87% 99.87%
PLS HELP, WILL GIVE BRAINLIEST​
The sum of 1 / 6 2/3 and 1/4
Which function's graph has a period of 2?y=cos(x-pi/2) y=3cos pi x y=2 sin 3x y=-4 sin 2x

Please help me to answer this question thank you otherwise I my teacher will be so mad .

Answers

Answer:

2/3 ≈ 0.666667

5/11 ≈ 0.454545

5/6 ≈ 0.833333

6/7 ≈ 0.857143

Step-by-step explanation:

Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.

Answer:

2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever

5/11= 5 divided by 11 = 0.454545

5/6 = 5 divided by 6 =0.833333

6/7 = 6 divided by 7 = 0.857143

rounded up because it is an infinite decimal

Hope this helps

Step-by-step explanation:

Which of the following groups has terms that can be used interchangeably with the others?1. Percentage, Probability, and Proportion2. Critical Value, Probability, and Proportion3. Critical Value, Percentage, and Probability4. Critical Value, Percentage, and Proportion

Answers

Answer: 1) Percentage, Probability, Proportion

Step-by-step explanation:

In statistics,

▪Proportion means a fraction of the total.

▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.

▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).

▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

In the four definitions, the odd one out is Critical Value.

So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.

Answer:

1. Percentage, Probability, and Proportion

Step-by-step explanation:

Proportion means a portion of a whole e.g. 2/5

Percentage means a ratio of a number expressed as a fraction of 100 e.g 20/100

Probability- This means the likelihood of an event to occur e.g 1/2

All these three terms are usually expressed as a Fraction of a Number which makes them similar.

Function or not function please help I will give brainlesss

Answers

Answer:

Yes it's a function.

Step-by-step explanation:

To know if it's a function check if there is two x-intercepts. If there is them it's not a  if there isn't then, it's a function.
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Tea from Britain costs $2.50 to produce. It is sold in America at a price of $3.50 (to make a profit of $1.00) Tea in America costs $3.00 to produce. It is sold at a price of $4.00 (to make a profit of $1.00) If there is a 50% Tariff on tea, who would you buy your tea from?

Answers

Answer:

I would buy my tea from Britain.

The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

Answers

Area of the rectangle= L* w
x^(2) -2x-15
On expanding;
x^(2) -5x+3x-15
=x(x-5)+3(x-5)
=(x+3)(x-5)
The width is (x-5)

Answer:

Width of the rectangle is (x-5)

Step-by-step explanation:

We know that, the product of length and width gives the area of the rectangle.

The area of a rectangle is given as,

\Rightarrow \text{Area of rectangle}=\text{Length}* \text{Width}

\Rightarrow \text{Width}=\frac{\text{Area of rectangle}}{\text{Length}}

Factoring the area,

=x^2-2x-15

=x^2-5x+3x-15

=x(x-5)+3(x-5)

=(x+3)(x-5)

Putting it in the equation,

\Rightarrow \text{Width}=((x+3)(x-5))/((x+3))=(x-5)

Read the word problem below. Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current? Which of the following is a clue that would help solve this word problem? The rate of Chan’s rowing in still water is 8 mph. Chan rows from the house to the park on Wednesday. Chan’s house is next to a river. The entire trip takes five hours.

Answers

A clue that would help to find the speed of the current is that the rate of Chan's rowing in still water is 8 mph.

Concept of Boat and Stream:

This concept comprises of 4 terminologies:

  • Stream: Flowing water of the river is stream.
  • Upstream: Direction of the boat is opposite to the flow of stream.
  • Downstream: Direction of the boat is with the flow of stream.
  • Still Water: Considering no movement of water, hence zero speed.

Given:

Speed of Chan's boat in stillwater = 8 mph

Time taken by Chan to row upstream from his house to the park = 3 h

Time taken by Chan to row downstream from the park to his house = 2 h

we have to find the speed of the current.

Let the speed of the current be v.

We know, Speed = Distance / Time

⇒ Distance = Speed × Time

Now, the distance between the house and the park is constant, hence the distance travelled upstream and downstream will be constant.

For upstream, speed of the boat is calculated as:

⇒ Speed = (speed of the boat in still water) - (speed of the current)

⇒ Speed = (8 - v)

Hence, distance is:

⇒ Distance = (8 - v) × 3              …(1)

Similarly for downstream, speed of the boat is:

⇒ Speed = (speed of the boat in still water) + (speed of the current)

⇒ Speed = (8 + v)

Distance will be:                          

⇒ Distance = (8 + v) × 2             …(2)

Now since the distance is equal we can equate the equation (1) and (2).

⇒ (8 - v) × 3 = (8 + v) × 2

⇒ 24 - 3v = 16 + 2v

⇒ 5v = 8

⇒ v = 1.6 mph

Hence, the speed of the current is 1.6 mph.

Here, we can observe that to solve this problem we need the time taken to cross along each stream and the speed of the boat in the still water.

The option: Chan rows from house to the park on Wednesday, gives information about the the distance travelled by the boat and it is  constant and cannot be used to deduce the speed of the current.

The option: The entire trip takes five hours, is not used anywhere to solve the problem, instead the separate times to cross each stream was required. Hence this option was also not sufficient.

Therefore, the rate of Chan's rowing in still water is 8 mph, is the clue that helps to solve this word problem.

Learn more about the Boat and Stream Concept here: brainly.com/question/16712505?referrer=searchResults

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Answer:

its A

Step-by-step explanation:

i literally just took the test
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