What is another name for the set of counting numbers

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago

PLEASE HELP! WAYYY OVERDUE!!!

In-s [12.5K]

Answers:

Red = negative skew
Yellow = symmetric
Blue = positive skew

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Explanation:

A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.

For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3 (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.

Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.

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If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.

6 0

2 years ago

Which relation is a function?

Ludmilka [50]

The top right is the answer!

8 0

3 years ago

Read 2 more answers

Clarence sells yearly subscriptions to a particular magazine. He sells at least 10 and no more than 25 subscriptions each week.

kobusy [5.1K]

We have that Clarence sells yearly subscriptions to a particular magazine.

He sells at least 10 and not more than 25 subscriptions each week.

The function f(t) = 48t represents the amount of money earned for selling t subscriptions each week.

So;

10 ≤ t ≤ 25

f(t) therefore is 48(10) ≤ f(t) ≤ 48(25)

This gives: 480 ≤ f(t) ≤ 1200

So the amount of money earned f(t) for selling t subscriptions each week is all multiples of 48 between 480 and 1200, inclusive.

8 0

3 years ago

Read 2 more answers

The value of a piece of equipment is decreasing at a rate of 7,5% yearly. If the equipment

SCORPION-xisa [38]

Answer:

y=930 x 075^x

Step-by-step explanation:

y is the price after the amount of years x being plugged into the equation. 930 is what you started with. 7.5 is what is being decreased so divide that by 100 and you get 0.075 plug in the amount of years into x and you have your equation

4 0

3 years ago