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3 years ago

There are 16 children and 24 adults what percent are children and what percent are adults

Mathematics

2 answers:

adelina 88 [10]3 years ago

8 0

Answer:

40% is children and 60% in adults

Step-by-step explanation:

so if you add the two you have 40, 100% of 40 is 40 and 50% is 20, so we know that the children percent is less than 50, if you go through you will find that 40% of 40 is 16 therefor leaving the rest (aka 60%) to be adults

Nuetrik [128]3 years ago

6 0

Answer:

60% adult

40% children

Reasoning:

Add the adults and children first.

Then find the ratios of the children and parent percentages.

16:40 children

24:40 adult

16/40=2/5=0.4=40% children

24/40=3/5=0.6=60% adult

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A polynomial P has non-negative integer coefficients. If P(1) = 8 and P(10) = 2312, what is P(2)?

polet [3.4K]

9514 1404 393

Answer:

Step-by-step explanation:

If coefficients are positive integers, then the polynomial cannot be higher degree than 3. 10^4 = 10,000, so even a coefficient of 1 will give too large a value. P(1) = 8 tells us that the sum of coefficients must be 8, so we cannot have a degree lower than 3.

The sum of digits in 2312 is 8, so it works out that the polynomial is ...

P(x) = 2x^3 +3x^2 +x +2 . . . . matches P(1) = 8 and P(10) = 2312

Then P(2) is ...

P(2) = ((2·2 +3)2 +1)2 +2

P(2) = 32

3 0

3 years ago

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y

ioda

Answer:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

$s= \sqrt{856849.7}=925.662$

Step-by-step explanation:

For this case we can create the following table

Interval Frequency (f) Midpoint(xi) xi *f xi^2* f

0-499 9 249.5 2245.5 560252.3

500-999 13 749.5 9743.5 7302753

1000-1499 33 1249.5 41233.5 51521258.25

1500-1999 115 1749.5 201193.5 361986278.8

2000-2499 125 2249.5 281187.5 632531281.3

2500-2999 81 2749.5 222709.5 612339770.3

3000-3499 47 3249.5 152726.5 496284761.8

3500-3999 45 3749.5 168727.5 632643761.3

4000-4499 22 4249.5 93489 397281505.5

4500-4999 10 4749.5 47495 225577502.5

Total 500 1220750 3408029125

$\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125$

For this case we can calculate the sample mean with this formula:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

And for the sample variance we can use the following formula:

$s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}$

And if we replace we got:

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

And the deviation is just the square root of the sample variance and for this case is:

$s= \sqrt{856849.7}=925.662$

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3 years ago

Two lines, A and B, are represented by the equations given below.

Marina CMI [18]

Answer:

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Step-by-step explanation:

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3 years ago

A tennis racket normally costs $60. The tennis racket is on sale for 30% off. What is the sale price of the tennis racket?

hram777 [196]

The answer would be 42 and here’s how:)

so to start it would be written as this.
___=30% x 60

meaning what equals 30% of 60.

= means is
x means of
___ means what

•so for example if you have this question written out, it would be - what is 30% of 60, and that would turn into the first equation by a substitution method.
• then you have to put the 30% as a decimal. (0.3)
now the equation looks like this.
___=0.3 x 60
• then you would turn it around so it’s 0.3 x 60=

now the answer to that equation is 18.
• so now you have to take the original 60, and subtract the answer amount of 18.

that would look like this. 60-18=___
the answer to that is 42! and there’s your answer! hope it helped!

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3 years ago

How many 1/8 pieces are there in 3/4

Cerrena [4.2K]

1/6 pieces are in 3/4

3 0

3 years ago

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