HELP!!!!! what is the 34th term: a1 = 3.2, d = 2.6

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

4 years ago

^lets start off easy☺️^

butalik [34]

Answer:

mary=10 jack=15

Step-by-step explanation:

After 4 years Mary (x+4), Jack's age (x+5) + 4.

sum of the ages after 4 years :(x+4) + (x+5) +4=33

Simplifying the equation:

2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age

10 + 5 = 15 which is Jack's age.

7 0

3 years ago

What must be true of the side lengths in order to build a triangle with only two angles the same size?

ale4655 [162]

Answer:

A triangle with two angles of the same size is an isosceles triangle. So two of its sides are going to have the same measure and the third different. The length of the sides will depend on the height of the measure of the given angles.

Step-by-step explanation:

Isosceles triangles can be classified into an isosceles right triangle, isosceles obtuse, isosceles acute depending on the measurements of its internal angles.

6 0

3 years ago

Which inequality is shown in the graph?

masha68 [24]

Answer:

D.

Step-by-step explanation:

the graph has a y intercept of -3

try substituting any point in one of the equations that fit the graph in this one that is D.

try(1,1)

1<1-3

1<-3

it is false so shade the outside of the graph

hope it helps

7 0

4 years ago

Read 2 more answers

A rectangle ahs a long side of a length 8.5 cm its perimeter is 24cm work out the length of the shorter side

Phantasy [73]

Answer:

Width (length of shorter side) = 3.5 cm.

Step-by-step explanation:

L = 8.5 cm

perimeter, P = 24 cm

2(L+W) = 24

substitute L = 8.5

2(8.5+W) = 24

8.5 + W = 24/2 = 12

W = 12 - 8.5 = 3.5 cm

5 0

3 years ago