The probability of randomly selecting the 2 oldest people from the group of 8 is approximately 0.0357 or 3.57%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The total number of possible ways to select 2 people from a group of 8 is given by the combination formula:
C(8,2) = 8! / (2! x 6!) = 28
This means that there are 28 different pairs of people that can be selected from the group of 8.
To calculate the probability that the 2 oldest people are selected, we need to first determine how many ways there are to select these 2 people.
Since the order in which we select the people does not matter, we can simply choose any 2 people from the group of 8 in order to select the 2 oldest people.
There are C(8,2) = 28 ways to select any 2 people, and since there is only 1 pair that consists of the 2 oldest people, the number of ways to select the 2 oldest people is 1.
Now,
The probability of selecting the 2 oldest people is:
1/28 = 0.0357
Thus,
The probability of randomly selecting the 2 oldest people from the group of 8 is approximately 0.0357 or 3.57%.
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Final answer:
To find the probability of selecting the two oldest people from a group of 8, we calculate the number of ways to choose 2 people from 8 (28 ways) and understand that there is only 1 way to choose the two oldest. Thus, the probability is 1/28.
Explanation:
The question asks about the probability of selecting the two oldest people from a group of 8. To solve this, we can use the concept of combinations. There is only one way to pick the two oldest people. However, the total number of ways to pick 2 people out of 8 is calculated using combinations, which can be represented as 8 choose 2 or 8C2. The formula for combinations is nCk = n! / (k!(n-k)!), where n is the total number of items, and k is the number of items to choose.
Applying this formula, the total number of ways to choose 2 people from 8 is :
8C2 = 8! / (2!(8-2)!) = 28
Therefore, the probability that the two people selected are the oldest is :
Probability = 1 / 28
Use the order of operations to find the value of the expression 5*2+6-5
Find the outlier in the data: 38, 38, 18, 28, 36, 30, 39, 32. How does the outlier affect the mean? If necessary, round to the nearest tenth. 43; raises it by 1.5. 18; lowers it by 2. 43; lowers it by 1.5. 18; raises it by 2.
Which function describes this graph?
f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2
A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 37 songs this month is $42.72.
How much is the flat fee?
(pls tell me the equation)
204 meters 89 cm = how many cm??
204 meters 89 centimeters is equal to 20,489 centimeters.
To convert 204 meters 89 centimeters to centimeters, we need to consider that 1 meter is equal to 100 centimeters.
204 meters is equal to 204 × 100 = 20,400 centimeters.
Adding the 89 centimeters, the total is 20,400 + 89 = 20,489 centimeters.
Therefore, 204 meters 89 centimeters is equal to 20,489 centimeters.
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A recipe requires 1/4 lb of onions to make 3 servingsof soup. Mark has 1 1/2 lb of onions. How many servings can mark make?
Kay estimates that Wednesday ride is about 3 miles longer than Tuesday ride . Is her estimate reasonable ?
Answer:
yes
Step-by-step explanation:
What is 23/35 simplified?
Write 63 as a sum of tens and ones
A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?
Answer: The answer is 35/16 miles
Step-by-step explanation: I have my ways ;>
Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?
ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.
For what value of y does 125=(1/25)^y-1
A -5/2
B -2
C -1
D -1/2
The value of y that satisfies the equation is -1/2.
The correct option is D.
To solve the equation, using the property of exponents:
125 = (1/25[tex])^{y-1[/tex]
Now, 125 can be written in exponent form as (5³) and (1/25) as (5⁻²):
So, 5³ = (1/5²[tex])^{y-1[/tex]
5³ = (5⁻²[tex])^{y-1[/tex]
5³ =[tex]5^{-2y+2[/tex]
Since the bases are the same, comparing the exponents as:
3 = -2y+ 2
3-2 = -2y
-2y = 1
y= -1/2.
Therefore, the value of y that satisfies the equation is -1/2.
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67a(t+z)=45z+67 solve for z.
I need help. Please?
Which equation below is a direct variation? A. 0.05x = y B. x + 2 = y C. D. y = 2x + 6
Find the coordinates of the points of intersection of the graphs with coordinate axes:
y=−1.5x+3
x − intercept is ( , )
y − intercept is ( , )
Answer:
x - intercept is (2,0)
y - intercept is (0,3)
Step-by-step explanation:
y = 0 for x - intercept
0 = - 1.5x + 3
- 3 = - 1.5x
x = 2
x = 0 for y - intercept
y = 0 + 3
y = 3
4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5
Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
A.) 16.5 mi; 19.5 mi
B.) 33 mi; 39 mi
C.) 66 mi; 78 mi
D.) 49.5 mi; 58.5 mi
the other person is incorrect "b.33 Mi; 39Mi" is not even an option on my quiz
the correct answer is 76.5 mi; 67.5 mi
4(x+8)-4=34-2x steps
Are the fractions 1/2 and 3/8 equivalent fractions
A fraction is a way to describe a part of a whole. The value of the two fractions is not equal.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of the two fractions can be simplified as,
1/2 = 0.5
3/8 = 0.375
As it can be seen that the value of the two fractions is different, therefore, the value of the two fractions is not equal.
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Equation: y= -0.25x+1
After how many minutes is the timer 25% full?
How do you write 1/10 in percent
What is 45,824 rounded to the nearest thousand
Giving who ever answers correctly over 30 points.
1: Solve for x.
x - 3/8 = - 5/8
a: x=1/4
b: x= -1/4
c: x= -1
2: Solve for x.
2x = 15 + x
a: x= -15
b: x= 15
c: x= 15/2
3: Solve for x.
x + 5 = 2x
a: x=3
b: x= -5
c: x= 5
The first one would be b,
second is b
third is c.
Hope this helps!
Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.
What is the smallest power of 10 that would exceed 987,654,321,098,765,432?
You put $550 in an account that earns 4.4% simple interest per year. How much interest do you earn in 6 month
$1.21
$12.10
$121.00
$145.20
you can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. what is the height of the tree?
please explain it too ^_^
The height of the tree is 10 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the ratios of the lengths of the corresponding sides are equal when two figures are similar, if triangle ABC and triangle DEC are similar, then we may write,
AC/DC = BC/EC = AB/DE = k
BC= 9ft + 6ft = 15
BC/EC= k
15/6=k
Now from this value of 'K' we can determine the height of the tree which is,
AB/DE = k
AB/4 = 15/6
6AB = 15 x 4
AB = 60/6 = 10
The height of the tree is 10ft.
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Find the value of x (5x) (3x+12
The value that shows the expansion of the given algebraic expression is 6.
What is the solution to the algebraic expression.
An algebraic expression is a mathematical expression that has the variables, coefficients, and its arithmetic operators
In the complete question attached below, we are to find the value of x.
We can see that the angles are alternate angles.
So, 5x = (3x + 12).Combine like terms, we have:
5x - 3x = 12
2x = 12
x = 12/2
x = 6
Therefore, the value of x is = 6.
20 points please answer and write an inequality
A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.