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eimsori [14]
3 years ago
6

Determine the probability of landing on tails at most 33 times if you flip a fair coin 80 times. Round your answer to the neares

t tenth.
Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

0.0728177272

Step-by-step explanation:

Given :

Number of flips = 80

Probability of landing on tail at most 33 times ;

Probability of landing on tail on any given flip = 1 / 2 = 0.5

This a binomial probability problem:

Hence ;

P(x ≤ 33) = p(x=0) + p(x=1) +... + p(x = 33)

Using a binomial probability calculator :

P(x ≤ 33) = 0.0728177272

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Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the
kirill115 [55]

Answer:

Period=6

Step-by-step explanation:

Given:

t=1cos(1.05h)+37

Using acos(bx-c)+d to find the period of the given function

amplitude= a

period= 2π/Bb

phase shift=c (positive is to the left)

vertical shift=d

comparing with t=1cos(1.05h)+37, we get

a=1

b=1.05

c=0

d=37

period= 2π/b

          =2π/1.05

          =5.983

          =6

Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!

5 0
3 years ago
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Jakes family was on vacation for two weeks and five days. Seth’s family was on vacation for three weeks and two days.How many fe
Leokris [45]

it would be a week and three days

3 0
3 years ago
If a cone has a volume of 113.04 cubic meters and a radius of 3 meters, what is the height of the cone? (Use 3.14 for π.) 4 mete
butalik [34]

Answer:

Height (h) = 12 meters

Step-by-step explanation:

VOLUME OF A CONE is expressed as:

Volume = ⅓πr²h

Volumn = 113.04m²

Radius = 3m

π = 3.14

Height = ??

Let's substitute the values into the given expression for the volume of a cone.

Therefore, it becomes:

113.04 = ⅓ * 3.14 * 3² * h

113.04 = 0.33 * 3.14 * 9 * h

113.04 = 9.33h

Divide both sides by 9.33

h = 113.04 / 9.33

h= 12.12 m

Height (h) = 12 meters (Approximately)

5 0
3 years ago
In 1984, Social Security tax was 6.7% of income up to $37,800. Shannon's gross pay was that year was $48,000. How much Social Se
Helen [10]

Answer:

2532.6

Step-by-step explanation:

Because in the question it says up to 37,800 and 6.7% of that is $2532.6

8 0
3 years ago
Please help
Sauron [17]

Answer:

(9,3)

Step-by-step explanation:

You can just substitute the answer choices in to the equation and see what option works for both equations.

3 0
3 years ago
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