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sertanlavr [38]
3 years ago
13

Can someone help with this ?

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

wtw nina

Step-by-step explanation:

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Need help asap, thanks!!!ヾ(⌐■_■)ノ♪
Lelu [443]

Step-by-step explanation:

the probability of making one shot is 75% or 0.75 or 3/4.

the probability to make 2 shots is then

3/4 × 3/4 = 9/16 = 0.5625

and so on.

the probability to miss 1 shot is then 25% or 0.25 or 1/4.

the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.

or the probability to miss 0 plus the probability to miss 1 shot.

anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.

the probability to make all 5 shots is

(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...

the probability to e.g make the first 4 shots and miss the 5th is

(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...

how many possibilities do we have to make 4 out of 5 shots ?

there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :

C(5,4) = 5! / (4! × (5-4)!) = 5

so, the probability to make exactly 4 out 5 shots is

81/1024 × 5 = 405/1024 = 0.395507813...

and the total probability to make at least 4 shots is

243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125

to control,

this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).

making 3 :

(3/4)³×(1/4)² = 3³/4⁵ = 27/1024

C(5,3) = 5×2 = 10

270/1024

making 2 :

3²/4⁵ = 9/1024

C(5,2) = 5×2 = 10

90/1024

making 1 :

3/1024

C(5,1) = 5

15/1024

making 0 :

1/1024

in sum

(270+90+15+1)/1024 = 376/1024

plus the 648/1024 = 1024/1024 = 1

correct.

4 0
2 years ago
Penny and her two friends each ate 1/6 of cake . how much cake did they eat
Hoochie [10]
They ate 1/3 of the cake
4 0
3 years ago
Read 2 more answers
Molly is making peanut butter cookies. To make a batch of cookies she needs cups of peanut butter, 1.5 cups of sugar, and 1 egg.
Rina8888 [55]

Answer:

4 batches

Step-by-step explanation:

one batch calls for:

3/4 PB

1 1/2 cup SG

1 EGG

3/.75(3/4)= 4

9/1.5(1 1/2)=6

5/1= 5

The maximum number of batches she can make before running out of ingredients is 4

6 0
3 years ago
Which congruence criteria is met in the following scenario?
Arisa [49]
None because the triangles have different lines
7 0
2 years ago
Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can burn
Firdavs [7]

Answer:

She will not meet her goal.

Step-by-step explanation:

There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays

There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.

In total, this means she will run for 4.5 hours.

4.5 hours * 550 calories per hour = 2475 calories.

She will not meet her goal.

8 0
2 years ago
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