Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.With 5 shoots, the probability of making at least one is [tex]\frac{211}{243}[/tex], hence the probability of making none, P(X = 0), is [tex]\frac{232}{243}[/tex], hence:
[tex](1 - p)^5 = \frac{232}{243}[/tex]
[tex]\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}[/tex]
1 - p = 0.9908
p = 0.0092
Then, with 6 shoots, the parameters are:
n = 6, p = 0.0092.
The probability that at least two of them make it inside the recycling bin is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[P(X < 2) = P(X = 0) + P(X = 1)
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461[/tex]
[tex]P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527[/tex]
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012[/tex]
0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
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If a country has a GDP of $100 and a population of 10, what is their GDP Per Capita?
Answer:
$10
Step-by-step explanation:
Per capita means per person, so divide the GDP by the number of people.
$100/10 = $10
Huilan is 13 years younger than Thomas. The sum of their age is 41. What is Thomas's age?
Answer:
27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Let's set Huilan's age to h and Thomas's age to t.
Since Huilan is 13 years younger than Thomas, we can write:
h = t - 13The sum of both their ages is 41, so let's combine the variables h and t together.
h + t = 41We said that h = t - 13, so substitute this value into the equation.
(t - 13) + t = 41Combine like terms.
2t - 13 = 41Add 13 to both sides of the equation.
2t = 54Divide both sides of the equation by 2.
t = 27Thomas's age is 27 years old.
Thank you L for helping me with this question :)
Jay makes $9 an hour plus a 12.5% commission selling jewelry how much does she earn on an 8-hour shift and what she sells $380 worth of jewelry
Answer:
117.6
Step-by-step explanation:
triangle ABC is isosceles with AB=AC and angle A=50°. the bisector of angle B and angle C meet at D. find the measure of BDC
Answer:
115 degrees
Step-by-step explanation:
From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.
First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180
180 - 50 = 130
then divide that by two to get the two equal angles
130/2 - 65
angle bisector divides the angles in half so the measures of CBD and BCD are 65/2
that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180
180 - 65/2 -65/2 = 115
please helppppp
due in 15 minsssss helpppp plz i will give 5 stars say thanks and i will mark right answer brainliest
SOLVE FOR q
10.63 = q − –5.63
HELP 69pts Which comparison is true?
A. 4
B. 4.5 < 718 < 5
C. 8.5 < V18 < 9.5
D. 17 < 118 < 19
Answer: C
Step-by-step explanation:
Option A is true comparisons among the given option as the number are in increasing order A. 4 < √18 < 4.5 .
To determine if this is true, let's calculate the square root of 18:
√18 ≈ 4.2426
Substituting the value into the comparison:
4 < 4.2426 < 4.5
This statement is true because 4 is indeed less than 4.2426, and 4.2426 is less than 4.5. Therefore, Option A is true.
B. 4.5 < √18 < 5
Option B states that 4.5 is less than the square root of 18, and the square root of 18 is less than 5. We have already determined the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:
4.5 < √18 < 5
This statement is also true because 4.5 is not less than 4.2426, and 4.2426 is less than 5. Therefore, Option B is not true.
C. 8.5 < √18 < 9.5
Option C states that 8.5 is less than the square root of 18, and the square root of 18 is less than 9.5. We have already established the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:
8.5 < √18 < 9.5
This statement is false because 8.5 is not less than 4.2426. Therefore, Option C is not true.
D. 17 < √18 < 19
Option D states that 17 is less than the square root of 18, and the square root of 18 is less than 19. Evaluating this comparison:
17 < √18 < 19
This statement is true because 17 is not less than 4.2426, and 4.2426 is less than 19. Therefore, Option D is not true.
In conclusion, among the given options, Option A is true comparisons:
A. 4 < √18 < 4.5
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Which comparison is true?
A. 4 <√18 < 4.5
B. 4.5 < √18 < 5
C. 8.5 < √18 < 9.5
D. 17 < √18 < 19
The measure of angle B is 83º, and the measure of angle C is 42°. C What is the measure of angle D in degrees? 55° 0125
Caleb buys two pair of jeans, one costing $57 and the other $53. If all jeans are on sale for 20% off, what is total Caleb pays for the two pair of jeans?
How do I find x In these two problems?
Answer:
#1: 146 degrees #2: 111 degrees
Step-by-step explanation:
The angles of a heptagon (a shape with 7 sides) are supposed to add up to 900 degrees, so just add up all the sides that you know and subtract it from 900 and you will have x! Do the same thing with the second one, except is is a hexagon and all the angles should add up to 720 degrees. (Don't forget to add the right angle, which is 90 degrees) So add up all the sides you know and subtract from 720 to get x.
P.S. If correct, please give Brainliest?
Answer:
N = number of sides
The sum of the interior angles of a polygon is equal to (N x 180)-360.
The first problem has 7 sides so the interior angle total = 900 degrees.
Add up all the known interior angles:
96+105+161+123+155+114+x = 900
x = 900-754 = 146 degrees
The second problem has 6 sides so the interior angle total = 720 degrees.
Add up all the known interior angles:
127+40+202+90+150+x = 720
x = 720-609 = 111 degrees
Hello immediately please
Sandy's aunt lives 250 miles away. If Sandy drives 55
ph, how long will it take her to get to her aunt's house?
A3 hours
B. 5 hours
C. 4.5 hours
D 6 hours
Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the length of his model car represents 25 inches of length in his actual station wagon. The station wagon's car manual shows that the length of the actual car is 193.75 inches.
Complete question :
Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the length of his model car represents 25 inches of length in his actual station wagon. The station wagon's car manual shows that the length of the actual car is 193.75 inches.
Complete the following equation so that it can be used to find the length, m, of the model car, then find the length of the model car.
The length of the model car is _ inches
Answer:
7.75 inches
Step-by-step explanation:
Scale factor from the question is :
1 inch : 25 inches
Length of actual car = 193.75
The length of the model car = m
If :
1 = 25
m = 193.75
Using cross multiplication :
25m = 193.75
Divide both sides by 25
25m/25 = 193.75 / 25
m = 7.75 inches
Can someone please help me I’m stuck
9514 1404 393
Answer:
x = 22
Step-by-step explanation:
When lines l and m are parallel, the marked angles are supplementary.
(2x -3)° +(6x +7)° = 180°
8x +4 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 176 . . . . . . . . . . subtract 4
x = 22 . . . . . . . . divide by 8
x^2 + 5x + 13 pls help
Answer:
Not factorable
Step-by-step explanation:
We are given a polynomial and are asked to solve or factor it I am assuming.
To solve this, there is a certain rule I like to follow, which is for b (in this case 5), you have to find two numbers that multiply to it, and for c (in this case 13), you have to find two numbers that add to it.
Since no two numbers multiply to 5 and add to 13, therefore this polynomial is not factorable.
need help on number 25!
Answer:
30000
Step-by-step explanation:
when dividing the powers, you subtract them.
help its pre-pre
a triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?
Sum of all angles of a triangle = 180°
Let the third angle be x.
So, 18.6° + 113.4° + x = 180°
=> 132° + x = 180°
=> x = 180° - 132°
=> x = 48°
So, the third angle is 48°.
Step-by-step explanation:
sum of all Δangle of a triangle = 180°so, let 3rd angle be x18.6° + 113.4° + x = 180°132° + x = 180°x = 180° - 132°x = 48°MARK ME AS BRAINLISTPLSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answer:
6 units
Step-by-step explanation:
use imagination to separate the triangle from the square.
2*2 is 4 which is the volume of the square part
2*2/2 is the volume of the triangle which divides out to be 2
2+4=6
A wire attached to the top of a building makes a 15° angle with the ground. If the building is 25 feet high, how
long is the wire?
Answer:
96.6feet
Step-by-step explanation:
,
From the attachment, we can see that a triangle is formed.
From trigonometry,
Sin(X)= opposite/hypothesis
Where Opposite sides=25feet
Hypotenuse sides= X feet
Sin(15)= 25/X
Cross multiply
Sin(15)= 0.2588
0.2588=25/X
X= 25/0.2588
X=96.6feet
Hence, the wire is 96.6 feet high
CHECK THE ATTACHMENT FOR THE FIQURE.
Find the slope between the points (2, -10) and (-4, 2).
A) 1/4
B) -2
C) 4
D) -1/2
Answer:
B) -2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2
HURRY PLEASE. 90 POINTS!! Find –(–8). –18, –8, 0, 8
Answer:
Convert all numbers into either decimals, fractions, or percents.
0.8=0.8
8%=0.08
18%=0.18
1/8=0.125
8/18=0.445
0.08<0.125<0.18<0.445<0.8
Convert back to original
8%,1/8,18%,8/18,0.8
She measured the circumference of the globe along the equator to be 12π centimeters. Which of the following measures is closest to the volume of Tiffany’s globe?
Answer:
117 i think not sure
Step-by-step explanation:
Isabella needs to order some new supplies for the restaurant where she works. The restaurant needs at least 439 knives. There are currently 230 knives. If each set on sale contains 15 knives, what is the minimum number of sets of knives Isabella should buy?
Answer:
divide 15 by 439 you get 25.4
hope you have a wonderful day!
The minimum number of sets of knives Isabella should buy will be 14 sets
Given the least number of knives needed = 439 knives
Amount currently available on ground = 230knives
The remaining amount of knives needed = 439 - 230
The remaining amount of knives needed = 209 knives
If each set on sale contains 15 knives, the number of sets Isabella will need will be:
[tex]Total \ number \ of \ set \ needed = \dfrac{209}{15}\\ Total \ number \ of \ set \ needed = 13.93[/tex]
This shows that the minimum number of sets of knives Isabella should buy will be 14 (approximately)
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A farmhouse shelters 10 animals, some are pigs, and some are ducks. Altogether there are 36 legs. How many pigs are there
Answer:
8 Pigs.
Step-by-step explanation:
~ P = the number of pig
~ D = the number of ducks
p + d = 10
4p + 2d = 36
4(10 - d) + 2d = 36
40 - 4d + 2d = 36
40 - 2d = 36
-40 = -40
-2d = -4
-2 -2
d = 2 ducks
p + d = 10
p + 2 = 10
Therefore, 8 pigs. :)) hope this helped you :))
Determine if the three lengths can be the measures of the sides of a triangle.
3 in, 9 in and 8 in
Answer:
yes
Step-by-step explanation:
For the lengths to form a triangle, the sum of any 2 must be greater than the third, that is
3 + 9 = 12 > 8
3 + 8 = 11 > 9
9 + 8 = 17 > 3
Thus the 3 lengths can form a triangle
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account?
x + y = 6,000. 0.025 x + 0.015 y = 110.
x + y = 6,000. 0.25 x + 0.15 y = 110.
x + y = 6,000. 0.025 x minus 0.015 y = 110.
x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
6000
Step-by-step explanation:
Answer:x+y = 6,000
0.025x-0.015y
Step-by-step explanation: did it on edge
-9=x-41
Solve that using the opposite operation
Answer:
x = 32
Step-by-step explanation:
-9 = x - 41
41 + (-9) = x -41 + 41
32 = x
ANSWER IT NOW!!!!!!!!
Answer:
10.1980390272
Step-by-step explanation:
Pythagorean Theorem
Hypotenuse = 15²
Leg = 11²
15² - 11² is 10.1980390272
5.please help this is timed
Answer:
A
Step-by-step explanation:
Answer:
D. (4,-1)
Step-by-step explanation:
So, we have these two equations:
2x + y = 7
x - 2y = 6
Isolate x in the second equation:
x = 2y + 6
Substitute it into the first equation:
2(2y + 6) + y = 7
4y + 12 + y = 7
5y + 12 = 7
5y = -5
y = -1
Plug y back into the second equation:
x - 2(-1) = 6
x + 2 = 6
x = 4
So, the correct answer is D. (4,-1)
Hope this helps!!
- Kay :)
Please help I don’t wanna add a bunch of points Bc nobody is helping me I’m just wasting them.
You want to determine the height of your
school building. The building casts a 6-foot
shadow at the same time you cast a 15-inch
shadow. If you are 5 feet tall, how tall is the
school building? Write an equation and solve,
showing ALL the work.
Answer:Cross multiply and solve for x.
x/6 = 5/1.25
let the height of building be h ft
h/6 = 60/15
h = 6(60/15) = 24
the building is 24 ft high
Step-by-step explanation:
Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)
What’s a Y-Intercept that’s the question is asking
Answer:
A y-intercept is were your line (on a graph) starts.
Order these lines from the steepest to the least steep.
Answer:
B, A, D, CStep-by-step explanation:
The slopes are:
2, -4, -1/2, 3/4Ordering from the greatest to the least by absolute value:
-4, 2, 3/4, -1/2Correct choice is:
B, A, D, CAnswer:
slopes are 2,-4,-1/2,3/4
Step-by-step explanation:
In order would be B=-4,A=2,C=3/4,D=-1/2
Hope this helps