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2 years ago

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Mathematics

2 answers:

Serhud [2]2 years ago

8 0

Answer:

the brain preforms at a optimum level

Step-by-step explanation:

Mariulka [41]2 years ago

5 0

Answer:

the brain performs at its optimum level

Step-by-step explanation:

answer on edg 2020

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

Express the interval

Otrada [13]

Using inequality for the give interval which states that :
A function lies in an open interval from -2 to 6.
Hence,we can rewrite it as :

-2 < x < 6

6 0

3 years ago

What is the following product ?

AfilCa [17]

Answer:

The correct answer is option B). 7x² -12x√14 + 72

Step-by-step explanation:

Identity

(a - b)² = a² - 2ab + b²

Find the product

It is given that ( x√7 - 3√8)(x√7 - 3√8)

(x√7 - 3√8)(x√7 - 3√8) = (x√7 - 3√8)²

(x√7 - 3√8)² = (x√7)² - 2*x√7*3√8 +(3√8)²

= 7x² - 6x√56 + 72

= 7x² - 6x*2√14 + 72

= 7x² - 12x√14 + 72

Therefore the correct answer is option B). 7x² - 12x√14 + 72

8 0

3 years ago

Read 2 more answers

The formula below gives T the approximate time in years it takes a population to double if the annual growth rate is r percent

valkas [14]

T=70/r
T=70/4.6
T=15 years

It's b

6 0

3 years ago

Read 2 more answers

A right triangle has side lengths a, b, and c as shown below.

____ [38]

Step-by-step explanation:

step 1. tan x = opposite/adjacent = c/b

step 2. cos x = adjacent/hypotenuse = b/a

step 3. sin x = opposite/hypotenuse = c/a

7 0

2 years ago