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2 years ago

Please help! Will mark brainliest

Mathematics

1 answer:

ser-zykov [4K]2 years ago

5 0

Answer:

Step-by-step explanation:

t1 = a1

t2 = a1 + d

t3 = a1 + 2d

The sum is t1 + t2 + t3 = a1 + a1 + d + a1 + 2d = 3a1 + 3d

Second question

t1 = a1

t2 = a1 + d

t3 = a1 + 2d

t4 = a1 + 3d

...

tn = a1 + (n - 1)*d

Sum = (a1 + a1 + (n- 1)*d) * n / 2

Sum = (2a1 + nd - d) * n / 2

Sum = (2a1*n + n^2*d - nd) / 2

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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

Help lolz nsjsdh fgd fnf

Makovka662 [10]

Answer:

It's just like reflection

Step-by-step explanation:

8 0

3 years ago

What is 10% of 360? 18 36 90 180

Snowcat [4.5K]

Answer:

Step-by-step explanation:

10% of 360=10/100*360=1/10*360=360/10=36

8 0

3 years ago

Read 2 more answers

Y - 3 = -2(x -1) How do i do this?

Masja [62]

Answer: -2

Step-by-step explanation:

y-intercept: (0,5)

5 0

3 years ago

Need Help!!! ASAP

RoseWind [281]

Answer:

$P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}$

$P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}$

$P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}$

Step-by-step explanation:

The given probabilities are:

$P(red)=\frac{2}{7}$

$P(blue)=\frac{3}{14}$

Their sum is $P(red)+P(blue)=\frac{2}{7}+\frac{3}{14}$

The probabilities that will complete the model should add up to $\frac{1}{2}$ so that the sum of all probabilities is 1.

$P(green)+P(yellow)=\frac{2}{7}+\frac{2}{7}\ne\frac{1}{2}$

$P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}=\frac{1}{2}$

$P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$

$P(green)+P(yellow)=\frac{5}{21}+\frac{11}{21}\ne\frac{1}{2}$

$P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}=\frac{1}{2}$

5 0

3 years ago