During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

[tex]p = \frac{31}{365} = 0.0849[/tex]

Group of 20 friends:

This means that [tex]n = 20[/tex]

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Answer:

13- pretty sure its 122

14- 58

15- i think its 236?

Problem 13

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Explanation:

It's not mentioned, but keep in mind that 1 foot is equivalent to 12 inches. This means that 48 inches is equal to 48/12 = 4 feet. So you must be 4 feet tall, or taller, to be able to ride the roller coaster.

To convert this to centimeters, we multiply by 30.48 to get 4*30.48 = 121.92 cm, which then rounds to 122 cm

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Problem 14

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Explanation:

1 gallon = 16 cups

Note how 240/16 = 15, which means we can multiply both sides of that equation above by 15 and we end up with

15*(1 gallon) = 15*(16 cups)

15 gallons = 240 cups

The water cooler is 15 gallons.

Multiply this by 3.8, since there are about 3.8 liters per gallon, and we end up with the answer of 3.8*15 = 57 liters

This answer is approximate since the 3.8 was approximate.

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Problem 15

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Explanation:

1 meter = 100 cm

6 meters = 600 cm (multiply both sides by 6)

1 cm = 0.39 inches

600*(1 cm) = 600*(0.39 inches)

600 cm = 234 inches

This answer is approximate because the 0.39 was approximate.

Answer:

5

It is that because I know this

Answer:

√80=4√5 is your answer look it once

Answer:

s=9

Step-by-step explanation:

8s=72

Divide 72 and 8

s=9

Step-by-step explanation:

=9feet

Answer:

oopssss

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

The volume of the cylinder in question is 427.26 inches.

The volume of the cylinder is 427.04 inches 2.

soup pot is 8.5 inches tall

radius of 4 inches.

Volume, is defined as the ratio of the mass of object to its density.

Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2

Thus, the required volume is 427.04 inches 2

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ2

Answer:

13

Step-by-step explanation:

a = 3

b = -2

a² + b² = 3² + (-2)²

= 9 + 4

= 13

Answer:

a) 11

b) 13

Step-by-step explanation:

a) 1 + 2(5) = 11

b) 3² + (-2)² = 9 + 4 = 13

Answer:

Kylie drank more water than Valentina

Step-by-step explanation:

I know that Kylie drank more water than Valentina.

I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48

Valentina drank 24 fluid ounces.

48 is greater than 24, so Kylie drank more water than Valentina.

Answer:

A

Step-by-step explanation:

The answer is A ,that's how the equation is.

Answer:

The answer is "15.85%"

Step-by-step explanation:

The complete question is defined in the attachment file please find it.

Given:

[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]

Converting the Standard Normal:

[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]

                                           [tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]

Answer:

x = 12

Step-by-step explanation:

3x = 6² = 36

x = 12

Answer:

Approximately 3.4 years more or less

Step-by-step explanation:

If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:

P=185(1.16)^n

305=185(1.16)^n

1.65=1.16^n

log₁.₁₆(1.65)=log₁.₁₆(1.16^n)

3.37=n

So the deer population will reach 305 in approximately 3.4  years.

Answer:

a,x-4

hope it helps .....

Answer:

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

hope this helps

Answer:

20 ft? im not 100% sure tho

Step-by-step explanation:

Answer:

sin=The sin of an acute angle is defined in the context of a right triangle.

csc= The length of the hypotenuse divided by the length of the side opposite the angle.

cos= The length of the adjacent side divided by the length of the hypotenuse.

sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.

tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).

cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.

Step-by-step explanation:

Answer:

260 people own a dog.

Step-by-step explanation:

Think of the equation as this:

65% of 400 people own a dog.

Since "of" in a math equation means to multiply, replace of with a multiplication sign.

65% * 400 = 260 people own a dog.

To check you're answer, make the fraction 260/400 into a percent.

260/400 = 65%

Have a nice day!!! ;D

Answer:

24 pi

Step-by-step explanation:

A= n/360(pi r^2)

A= 135/360(pi)(8^2)

A=135/360(64)(pi)

A= 24 pi

Answer:

90

Step-by-step explanation:

75+85+95+105=360

360/4=90

Answer:

24,19

Step-by-step explanation:

24+19=43

24-19=5

Answer:

Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

4 cm, 7 cm, 11 cm

Step-by-step explanation:

The sum of two shorter sides of a triangle is always greater than the larger side.

1 cm + 5 cm < 7 cm ( can't be the third side )

5 cm + 4 cm > 7 cm ( can be )

5 cm + 7 cm > 7 cm ( can be )

5 cm + 7 cm > 11 cm ( can be )

5 cm + 7 cm < 13 cm ( can't be )

5 cm + 7 cm < 15 cm ( can't be )

Answer:

This equation has zero solutions.

Step-by-step explanation:

This equation has zero solutions because 2 is not equal to zero.