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2 years ago

Write 3.27 as a decimal number rounded to the nearest thousandth

Mathematics

2 answers:

Lana71 [14]2 years ago

4 0

It alrrady is rounded, you could write it as 3.270

Anna007 [38]2 years ago

3 0

The answer is 3.270,,,,,,,

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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

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres

Nataly [62]

Answer:

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of $c$ units up, the translation is given as:

$(x,y)\rightarrow (x,y+c)$

For shift of $k$ units right, the translation is given as:

$(x,y)\rightarrow (x+k,y)$

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

So, co-ordinates of point A after translation is given by :

$(-3,4)\rightarrow (-3+1,4+2)=(-2,6)$

After the translation, the coordinates of vertex A is (-2,6).

4 0

3 years ago

What does 2*-2-(3- -2) equal

Dovator [93]

Answer:

The value of the expression 2*-2-(3- -2) is -9.

Step-by-step explanation:

2 x (-2)- (3- -2)

=2 x (-2)- (3+2)

=2 x (-2) -5

= -4-5

=-9

Hope this Helps!!!

Please consider this as brainliest, thanks!!!

8 0

3 years ago

Read 2 more answers

If 29% of the students wore jeans what percent of he students did not wear jeans?

igor_vitrenko [27]

So you just take 100% - 29% = 71%

So 71% of the students did not wear jeans

7 0

2 years ago

A line includes the points 2, 10 and 0, 2 what is its equation in slope intercept form

IRINA_888 [86]

Answer:

y = -4x + 2

Step-by-step explanation:

y = mx + b ( slope-intercept)

1. Find Slope:

$\frac{y^2 - y^1}{x^2 - x^1}$

Lets name 2 as y2 and 10 as y1. And 0 as x2 and 2 as x1.

$\frac{2-10}{0-2}$ = $\frac{-8}{2}$ = -4

m/slope = -4

2. Find y-intercept:

$y = mx +b$

2 = -4(0) + b

= 2 = b

Y-intercept/b = 2

3. Put into slope-intercept form:

y = mx + b

= y = -4x + 2

Hope that helps! :D

4 0

3 years ago