1. What kind of correlation is shown? (see #1 above)

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

120 - 40 divided by 4 x 6 write 2 steps and then answer and i will give u brainliest

astra-53 [7]

Answer:

your answer is 10/3 (fraction)

Step-by-step explanation:

120-40=80

4 x 6=24

80/24=

first divide both sides by four and get 20/6
then divide by 2 to get 10/3 (fraction form)

5 0

3 years ago

Read 2 more answers

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie ca

Mamont248 [21]

$1.75 + $0.25x ≤ $15; x < 53

So the first one. Because you must pay the flat fee, and then for x miles you must pay $0.25. When you do (15-1.75) / 0.25 the answer is 53.

5 0

2 years ago

Read 2 more answers

The length of a rectangle is 5 inches and the width is 7 inches. What is the area of

sashaice [31]

Answer:

35 inches

L×W=A

length×width=area

4 0

3 years ago

Read 2 more answers

A height of 26 feet and a diameter of 5.6 feet. What is the volume of the geode, rounded to the nearest tenth?

7nadin3 [17]

Answer:

Therefore,

The volume of the geode, rounded to the nearest tenth is 640.1 feet³.

Step-by-step explanation:

Given:

Geode shaped approximately like a cylinder. such that

Height = h = 26 feet

Diameter = d = 5.6 feet

$Radius = r =\dfrac{d}{2}=\dfrac{5.6}{2}=2.8\ feet$

To Find:

volume of the geode = ?

Solution:

Geode shaped approximately like a cylinder,

So, Volume of Cylinder is given by,

$\textrm{Volume of Cylinder}=\pi r^{2}h$

Where,

Height = h

Radius = r

pi = 3.14

Substituting the values we get

$\textrm{Volume of Cylinder}=3.14\times 2.8^{2}\times 26=640.05\approx 640.1\ feet^{3}$

Therefore,

The volume of the geode, rounded to the nearest tenth is 640.1 feet³.

8 0

3 years ago