The median age of your customer base = 45
What is median?The median is the value that divides a data sample, a population, or even a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. The fundamental difference between the mean and the median when describing data is that the median is more representative of the "typical" value because it is not skewed by the a small proportion of extremely large or small values. Due to the fact that income distribution can be highly skewed, the median income, for instance, might be a better indicator of what is considered a "typical" income.
Mean = middle term
= 6th term
= 45
Hence, Median of age = 45.
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g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability that there are 2 black balls and 2 white balls in the sample if .50 Each ball is replaced before the next one is drawn (sampling with replacement). .624 Each ball is not replaced (sampling without replacement)
Answer:
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Step-by-step explanation:
For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.
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.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
[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]
Sampling with replacement:
I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]
We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Sampling without replacement:
150 + 50 = 200 total balls, so [tex]N = 200[/tex]
Sample of 4, so [tex]n = 4[/tex]
50 are black, so [tex]k = 50[/tex]
We want P(X = 2).
[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x
Let's work backwards.
The answer will be in the form (x+a)^2 for any real number a
Now the expansion will be x^2+2ax+a^2.
We can see just from this that 2a=5/4
a=5/8
The result binomial should be x+5/8
Resulting binomial squared expansion should be x^2+5/4x+25/64
The term we need to add will be 25/64
Help me find the hight explain
Answer:
h = 26cm
Step-by-step explanation:
V = (l w h)/3
so the volume of the first one is
20*12*13 /3= 1040
1040 = 12*10*h/3
3120 = 120h
h = 26
The answer is C. 23 cm
can someone help me solve this please :)
Answer:
Step-by-step explanation:
The Inconsistent Books store changes the normal prices of books on Mondays and Tuesdays. On Monday the price of a book is 10% above the normal price. On Tuesday the price is 10% below the normal price. Sarah bought a book on Monday for $16.50. Would would be the price of that book on a Tuesday?
Imagine that you have 1 dollar, 2 quarters, 3 nickels and 5 pennies in your wallet. What percent of a dollar do you have in your wallet?
Answer:
Step-by-step explanation:
%/100=1+2(.25)+3(.05)+5(.01)
%/100=1.7
170%
Evaluate 2a + 4b
If a=10 and b=6
Answer:
44
Step-by-step explanation:
2a + 4b a= 10 & b=6
2(10) + 4(6)
20 + 24
44
Please help meee I wanna get out of this class already
Answer:
The answer is D.
Answer:
a
Step-by-step explanation:
50 PONITS
If you travel 82 km in 40 minutes, what is your speed in km/h?
Answer:
123 km/h
Step-by-step explanation:
the formula for the unit rate would be 82/40
82 divided by 40 is 2.05km/m
Then you have to convert 2.05 km/m to km/h
multiply 2.05 times 60 and your answer is 123 km/h
Answer: 123 km/h
Step-by-step explanation:
find the area of the composite figure.
Answer:
24
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Find the Area: 13 in | 4 in 7 in 24 in
Answer:
242 inches²
Step-by-step explanation:
area = (1/2) · (p + q) · h (trapezoid formula)
(1/2)(13+24)(4)= 74
area= bh (rectangle)
(24)(7)= 168
168+74= 242
what do when you have 187,599742 and you have to take away 7937
Answer:
187,591,805
Step-by-step explanation:
187,599,742 - 7937 = 187,591,805
HTH :)
How many
liters of paint needed to paint a room
that is 96 meter square if 1 liter of
paint covers 5 meter square
5 meter Square meters
Answer:
19,2 l
Step-by-step explanation:
It's given that the area = 96 [tex]m^{2}[/tex]
// make a proportion
1 liters - 5 [tex]m^{2}[/tex]
x liters - 96 [tex]m^{2}[/tex]
x = 96/5 = 19,2 (l)
HELPPPPP!!!!!!!!!!!!!!
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
What is the factored form of this expression?
216p6 + 1
(3p – 1) (3p + 1) (6p2 – p2 + 1)
(3p – 1) (3p + 1) (36p4 + 6p2 + 1)
(6p2 + 1)(36p4 - 6p2 + 1)
o 6p2 – 1) (36p4 + 6p2 + 1)
PLEASE HELP I NEED THE VALUES OF M AND P!!!!!!!! WILL GIVE BRAINLIST!!!!
Answer:
m=5 and p=4
Step-by-step explanation:
Can someone help me some of my answer are Incorect thank you
Answer:
just to help you i dont know the answers but you should hide the link because everyone can find your location
Here are several function rules. Calculate the output for each rule when you use -6 as the input.
Answer:
1. -13
2. 36
3. -2
4. -.5
5. -6x
6. -216cm
The perimeter of a square painting is 340 centimeters. How long is each side?
Answer:
90
Step-by-step explanation:
the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90
5) Find the area of the composite figure.
15
9 in
I ㅗ
20
3
A
then find the
Answer:
HOPE IT HELPS THANK ME LATER.
HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)
Answer:
6x^5 + 11x^3 - 12x^2 - 10x + 8
Step-by-step explanation:
(-3x^2 + 2) x (-2x^3 - 5x + 4)
Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.
-3x^2 x -2x^3 = 6x^5
-3x^2 x -5x = 15x^3
-3x^2 x 4 = -12x^2
Now to do 2 x -----.
2 x -2x^3 = -4x^3
2 x -5x = -10x
2 x 4 = 8
Last, but not least, we combine like terms.
6x^5 + 11x^3 - 12x^2 - 10x + 8
what is the approximate area of the circle below?
Aaron mows lawns and makes $70 per week. Last week
he spent $15 on gas and spent 5 hours mowing all of the
lawns. How much did he earn per hour?
An economist wants to predict the Gini of the US by Year. Select the answer choice that correctly interprets R-Squared. Group of answer choices 0.451751 is the proportion of variability of Gini Coefficient unexplained by our least squares line. 0.451751 is the proportion of variability of Years explained by our least squares line. 0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines 0.451751 is the proportion of variability of Years unexplained by our least squares line.
Answer:
0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines
Step-by-step explanation:
Given
[tex]R\ squared = 0.451751[/tex]
To predict: Gini by year
Required
Interpret the R squared
In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.
In this question, the variable to predict is Gini:
From the list of options, (c) is correct
5. David Read's the problem:
Ally bought a T-shirt and a pair of shorts on sale which
reduced prices by 1/4. The total savings on the 2
garments was $10.25. Find the original price for the
pair of shorts.
David says that the original price of the shorts was $41.
Does his answer seem reasonable? Defend your
answer by writing and solving an equation that
represents the situation.
Answer:
No, David's answer does not seem reasonable.
Let x= original purchase amount
25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.
If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.
Step-by-step explanation:
The ratio of cows to goats in a farm is 3:2 if there are 210 more cows than goats how many animals are there in the farm
Jake is a factory manager for a company that produces batteries. Occasionally, some are found to be defective. Based on previous results, Jake
estimates that 12 batteries will be defective for a certain month. However, 10 were actually defective. What is the percent error of Jake's estimate?
The percent error of Jake's estimate is 16.6 % when he found 10 were actually defective out of 12 batteries.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Mili obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
Jake calculates that 12 batteries will be faulty during the month given in the question.
To determine the percent error which is the percentage of the difference between the accepted value and the experimental value.
As per the given condition, the required solution would be as:
⇒ [(12 - 10)/12] × 100
= [(2/12)] × 100
= [1/6] × 100
= 0.166× 100
= 16.6 %
Thus, the percent error of Jake's estimate is 16.6 %.
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The radius of a quarter circle is 2 yards. What is the quarter circle's perimeter?
Does side lengths 4, 8 and 12 form a right triangle?
Answer:
No it does not form a triangle.
Step-by-step explanation:
If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!
Answer:
First question: Choice A
second question:Choice D
Third question: Choice c
Fourth question: Choise b
5th Question: choice b