Answer:
(a) [tex]\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....[/tex]
(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.
(c) The probability that n ≥ 4 is 0.018.
(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.
Step-by-step explanation:
We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.
Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.
(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,
Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.
So, the probability distribution of the geometric distribution is given by;
[tex]\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....[/tex]
where, p = probability that the residents are of Hawaiian ancestry = 74%
(b) The probabilities that n = 1, n = 2, and n = 3 is given by;
[tex]\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}[/tex]
P(1) = [tex]\text{0.74} \times \text{(1 - 0.74)}^{1-1}[/tex] = 0.74
P(2) = [tex]\text{0.74} \times \text{(1 - 0.74)}^{2-1}[/tex] = 0.192
P(3) = [tex]\text{0.74} \times \text{(1 - 0.74)}^{3-1}[/tex] = 0.050
(c) The probability that n ≥ 4 is given by = P(n ≥ 4)
P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3)
= 1 - 0.74 - 0.192 - 0.050
= 0.018
(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is given by = E(n)
We know that the mean of the geometric distribution is given by;
Mean = [tex]\dfrac{p}{1-p}[/tex] = [tex]\dfrac{0.74}{1-0.74}[/tex]
= [tex]\dfrac{0.74}{0.26}[/tex] = 2.85 or 3 (approx).
What is the domain of H
Answer:
X ∈ {-2, -1 ,1 ,5 ,6}
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please help with this fast
Answer:
integers from -1 ≤x≤2
Step-by-step explanation:
The domain is the value of the input or the x values
The domain is -1,0,1,2
integers from -1 ≤x≤2
Please will give brainliest and thanks
Answer:
a
Step-by-step explanation:
Double negatives make a positive. Hope this helps!
Is this answer right?
Answer:
Step-by-step explanation:
yes!
which number line represents the solution to -2X equals 4
Answer:
It is B
Step-by-step explanation:
which number is equivalent to 0.45 repeating ?
Answer: 5/11
Tip:
You can solve for these repeating fractions by putting the repeating digits over 9's!
For example, 0.33 repeating:
33/99 = 1/3
And in the case of your problem:
0.454545...
45/99 = 5/11 (simplify!)
A phone company charges a base fee of $12 per month plus an additional charge per minute.the monthly phone cost c can be represented by this equation: c=12+a •m, where a is the additional charge per minute, and m is the number of minutes used.
What equation can be used to find the number of minutes a customer used I we know a and c
Answer:
Hi there!
Your answer is
(C-12)/A = M
Step-by-step explanation
c=12+a * m
SOLVE FOR M!
C=12+AM
-12
C-12+AM
Divide out A to isolate M
(C-12)/A = M
The equation that can be used to find the number of minutes[m] a customer used is - m = (c - 12)/a
What is equation rearrangement?
Equation rearrangement is a process of arranging the equation parameters in terms of a specific parameter.
Given is a phone company that charges a base fee of $12 per month plus an additional charge per minute. The monthly phone charge cost [c] can be represented by the equation: c = 12 + a x m, where [a] is the additional charge per minute, and [m] is the number of minutes used.
The given equation is -
c = 12 + a x m
Since, we know the values of [a] and [c], we can solve for [m] as follows -
c = 12 + a x m
c - 12 = a x m
m = (c - 12)/a
Therefore, the equation that can be used to find the number of minutes[m] a customer used is -
m = (c - 12)/a
To solve more questions on equation rearrangement, visit the link below-
https://brainly.com/question/28748281
#SPJ2
What is the interquartile range of the following data set?
37, 27, 48, 96, 61, 84, 29, 1, 72, 5, 34
A. 64
B. 37
C. 10
D. 45
Answer:
The answer is D, 45.
Step-by-step explanation:
How to find the Interquartile Range
Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The interquartile range is the difference between the upper and lower medians.After doing that, write out your list, and and subtract the medians to get 45.
Answer:
D
Step-by-step explanation:
Help me, please!! Find the value of g
Answer:
-16
Step-by-step explanation:
Multiply both sides of the equation by 4/3.
[tex]\dfrac{3}{4}g=-12\\\\\dfrac{4}{3}\cdot\dfrac{3}{4}g=-12\cdot\dfrac{4}{3}\\\\g=-\dfrac{48}{3}\\\\\boxed{g=-16}[/tex]
A bag contains the following marbles: 5 black , 15 blue, 20 brown , and 10 green . What is the ratio of the green marbles to bkue marbles ? Express your ratio as a fraction or with a colon
Answer: 1:3:4:2
Step-by-step explanation: Cause it is :D
<!>BRAINLIEST APPERICATED<!>
What is the value of the expression below when w=3? 5w2 -5w-8
Expressions are mathematical statements without the equal sign
The value of 5w^2 - 5w - 8 when x = 3 is 22
How to determine the value of the expressionThe expression is given as:
5w^2 - 5w - 8
When the value of w is 3, the expression becomes
[tex]5w^2 - 5w - 8 = 5*3^2 - 5*3 - 8[/tex]
Evaluate the exponents
[tex]5w^2 - 5w - 8 = 5*9 - 5*3 - 8[/tex]
Evaluate the products
[tex]5w^2 - 5w - 8 = 45- 15 - 8[/tex]
Evaluate the differences
[tex]5w^2 - 5w - 8 = 22[/tex]
Hence, the value of 5w^2 - 5w - 8 when x = 3 is 22
Read more about expressions at:
https://brainly.com/question/723406
I needdd helpppppp what is m<2+m<3?
In triangle ABC:
∠1 = 90°
According to the angle sum property:
∠1 + ∠2 + ∠3 = 180
Since angle 1 is 90 degrees
∠2 + ∠3 = 180 - 90
∠2 + ∠3 = 90° [∠1 + ∠2 + ∠3 = 180]
Match each multiplication expression with the number of decimal places in its product
Plz
is there a photo we can see
P -5, 1 R 4,4..find the slope
Answer:
The slope between (-5,1) and (4,4) is 1/3
Step-by-step explanation:
When you're given 2 points and you must find the slope between those 2 points, you can find the distance between the y values and the x values.
For example in this case, the distance in our first y value is 3. So we know that y is always above x so we have 3/x so far.
Next to find the x values you do the exact same, and we get a distance of 9 from -5 to +4.
Now we have 3/9 which should be simplified to 1/3. When plotting this point, you'll use the strategy Rise over Run or Rise/Run.
(Side Note: Y is always above X so we know the Rise must be Y and the X must be Run.)
Y/X = Rise/Run
Hope this helps! :)
Betty ran 20 miles in 180 minutes. At this rate, how many miles could she run in 260 minutes?
Answer:
40 miles in 260 minutes
Step-by-step explanation:
Answer:
28.8 miles
Step-by-step explanation:
Need HELP ASAP I WILL MARK BRAINLIEST
REWARD=Points and brainliest
Step-by-step explanation:
its really hard to see the graph but i could answer it for you if i just had a better picture
Find the value of x. Then find the measure of each labeled angle.
Step-by-step explanation:
Question?
Inductive Reasoning
Write the next two numbers in the pattern
400, 200, 100, 50, 25,
Answer:
12.5, 6.25
Step-by-step explanation:
The answer halfs every time
Answer:
Step-by-step explanation:
After 400 ,800,1600
Before 25,12.5,6.25
When Michael Jordan retired from basketball he had the third highest scoring total in NBA history at 32,292 points an average 30 points per game for his whole career. However, Kobe Bryant passed Jordan on the list for third place with 33,643 points before COBE retired. If Michael Jordan started playing again, how many games would he have to play to catch cobia for third place? (You must write an equation and show you were to support your answer)
9514 1404 393
Answer:
46 games
Step-by-step explanation:
Let g represent the number of games played at 30 points per game. Then Jordan's total score would be
32292 +30g
We want to find the value of g that makes this total 33,643:
32292 +30g = 33643
30g = 1351
g ≈ 45.03
Jordan would have to play 46 games to regain 3rd place.
_____
After 45 games, Jordan's point total would be 33,642, which is 1 point short of Bryant's record.
9 1/8 divided by 2/3
Answer:
219/16
Step-by-step explanation:
What is five to the second power in expanded form
Answer:
20+5
Step-by-step explanation:
Becvause 5 to the second power is 25 and 25 in expanded form is 20+5
HOPE THIS HELPS
4+|7−m|=5
Solve for M
m = 16 or m = -2
m = 6 or m = -8
m = 6 or m = 8
m = 2 or m = 16
444444454444444444444545555
PLZ HELP WILL GIVE BRAINLIST
A. A number less than 2
B. A number greater than 1
C. An odd number
D. A multiple of 2
Answer:
Option A
Step-by-step explanation:
The answer is option A "A number less than 2." That is because we check off each of the following given options. It won't be option C because they're 4 odd numbers a equal amount of multiplies of two (option D) which means they both have a equal (4 out of 8) chance. It won't be option B because they're 7 out of 8 numbers that are greater then on which means you have a greater chance of getting a number greater then one but the question is asking for the most unlikely.....therefore the answer is option A because you have a 1 out of 8 chance of getting a number less then two.
Hope this helps.
Solve for x.
5x – 4 > 12
AND 12x + 5-4
Step-by-step explanation:
5x - 4 > 12 adding 4 to both sides;
5x - 4 + 4 > 12 + 4
5x > 16 dividing both sides by 5;
x > 16/5
12x + 5-4
12x + 1
There are no solutions.
100 POINTS PLS SOLVE !! ::
k-4 /9 =3
8+b /-4 = -5
Answer:
k = 31/9 b = 12Step-by-step explanation:
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
----------------------------
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
k = 31/9
b = 12
proofing my answer is correct
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
----------------------------
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
Erica babysits for 4 ½ hours and is paid $27. How much does she make for 8 hours?
Answer: $216
Step-by-step explanation:
Hope it helped
Can someone help me plzzz algebra isn’t my strong suit
Answer:
1. 21+5f = 61
2. 18+5n=50.50
3. 40+30s=220
Step-by-step explanation:
1. SUM of 21 and 5 TIMES a number f is 61
From that sentence, sum means addition and times is multiplication, so:
21+5f = 61
2. Let's identify the given:
Monthly fee: 18
Cost of each call: 5
Variable that symbolizes the call: n
Total cost this month: 50.50
Thus, 18+5n=50.50
3. Identify the given:
Charge of tutor: 40
Charge of tutor every student: 30
Variable representing the number of students: s
Total charge: 220
Thus, 40+30s=220
Trapezoid W'X'Y'Z' is the image of trapezoid WXYZ
under a dilation through point C.
What scale factor was used in the dilation?
1.) -6/5
2.) -5/6
3.) 5/6
4.) 6/5
W'X' is the dilated image, which is smaller than the original, so the scale factor would be less than 1.
Set up a ratio of the dilated figure to the original:
15/18 divide this by 3 to get 5/6
The answer is 3) 5/6
Evaluate the following: −3 − (−8).
Answer:
5
Step-by-step explanation:
When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.
From here, we have -3+8.
Now we subtract since each value has a different sign and we get +5.
Hope this helps!! :)
Answer:
5
Step-by-step explanation:
-*-=+
-*+=-
+*+=+
-3-(-8)=5
-3+8=5
Rename 7/12 and 1/8 using the least common denominator Please help
Answer:
14/24 and 3/24
Step-by-step explanation:
The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by
