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3 years ago

13

Every month, $35 is withdrawal from Tony saving account to pay for his gym membership. He has enough savings to withdraw no more

than $315. For how many months can Tony pay for his gym membership?

1 answer:

schepotkina [342]3 years ago

3 0

9 is your answer
because 10times35 is 350 -35 is 315

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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]

<u>Answer-</u>

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

<u>Solution-</u>

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

What is 3:120 equivalent to

fenix001 [56]

1:40 because if we think of this just like a fraction $\frac{3}{120}$ that simplifys down to $\frac{1}{40}$ and because fraction simplifications are similar (related to each other) we can concur that these would be too.

Enjoy!=)

6 0

3 years ago

Read 2 more answers

Please explain your answer

Ymorist [56]

Answer:

51

Step-by-step explanation:

11+(-7)^2-9 - original

11+49-9 - square the -7, since its in brackets the negative applies too and a negative x a negative = positive, so it ends up as 7x7+49

60-9 - add both positives 11+49=60

51 - subtract 9 from 60, 60-9=51

7 0

3 years ago

[13 + (−19)] × (−7) ÷ (−3)

harina [27]

Answer:

-14

Step-by-step explanation:

c a l c u l a t o r

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3 years ago

3.We-Haul rents a moving truck for 20.00$.and 0.45$.per mile. You-Haul rents the same size moving truck for 1.00$.per mile but w

matrenka [14]

Answer:

$20.45

Step-by-step explanation:

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3 years ago