Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.
For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[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.In this problem:
10 articles are picked, hence [tex]n = 10[/tex].85% of the articles meets all specifications, hence [tex]p = 0.85[/tex]The probability is:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759[/tex]
[tex]P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474[/tex]
[tex]P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969[/tex]
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 = 0.8202[/tex]
0.8202 = 82.02% probability that the shipment will make it through the control check.
For more on the binomial distribution, you can check https://brainly.com/question/24863377
PLEASE ANSWER!!!
Boris Drove to the mountains last week. There was heavy traffic on the way there, and the trip took 10 hours. When Boris drove home, there was no traffic and the trip only took seven hours. If his average rate was 18 mph faster on the trip home, how far away does Boris live from the mountains?
Answer:
Step-by-step explanation:
Answer:
Let +d+ = the one-way distance to the mountains in miles
Let +s+ = his speed going to the mountains in mi/hr
+s+%2B+27+ = his speed on the trip home in mi/hr
equation for going to the mountains:
(1) +d+=+s%2A7+
Step-by-step explanation:
I hope this helps mark as brainliest if correct
Mr.Hickory’s Tree farm spent $2,300 on seeds and supplies to grow 80 trees. Write an inequality to determine how much Mr. Hickory needs to charge for each tree in order to make a profit of at least $2500.
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500
Let x represent the amount of money charge for each tree.
The cost of growing the trees is $2300.
The revenue = 80x
Profit = Revenue - cost
Hence, to make a profit of at least $2500:
80x - 2300 ≥ 2500
80x ≥ 4800
x ≥ 60
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.
Find out more on profit at: https://brainly.com/question/1078746
The slope of a line running through points (6, 2) and (5, 7) is: 5. -5. 1. -1.
Answer:
-5
Step-by-step explanation:
We use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-2)/(5-6)
= 5/-1
= -5
Use the Pythagorean Theorem to find the distance, to the nearest tenth, between F(9,5) and G(-2, 2).
Answer:
Step-by-step explanation:
d = √((9 -(-2))² + (5 - 2)²)
d = √(11² + 3²)
d = √130
d = 11.401754250...
d = 11.4 units
Answer:
11.4 to the nearest tenth.
Step-by-step explanation:
Distance = sqrt((5-2)^2 + (9-(-2))^2)
= sqrt(3^2 + 11^2)
= sqrt 130
= 11.402
which is bigger 0.5 or 9%
this answer is 9% it is bigger than 0.5
What is:
-24 - (-64)
Answer:
40
Step-by-step explanation:
Calculator.
Answer:
your answer should equal to 40
Step-by-step explanation:
hope its right!
For shipping the retailer charges a $4.95 flat fee or 5.75% of the total purchase, whichever is greater. If Lucia's total purchase is $78.99, how much shipping will she pay? PLEASE ANSWER ASAP
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
a. 34.8°
b.39.4°
c.50.6°
d.55.2°
3 of 8
The perimeter of an equilateral triangle is 105mm.
State the length of one of its sides.
Answer: 60
Step-by-step explanation:
in geometry all of the equilateral triangles sides are all 60 degrees.
Please help mee!
no links :(
Answer:
a=0.62, b=7/9, c=10/9
Step-by-step explanation:
Brainliest would be appreciated
Answer:
B, if its not b then its C.
Step-by-step explanation: hope this is correct and helps you!
Help please and thanks!
okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58
-2x from both sides and 3x-35= 58
so 3x = 58+ 35= 93
x= 31
ABC = 31x2 = 62
BCA = 180-58-62= 60 degrees
please give me brailiest . thanks!
Answer:
x =31°
ABC is 62°
BCA IS 60°
I HOPE THIS IS HELPING
Dalvin has a toy car collection of 200 toy cars. He keeps 194 of the toy cars on his wall. What percentage of Dalvin's toy car collection does he keep on his wall?
Answer: 97%
Step-by-step explanation:
what is 194 out of 200 ? 97%
AND IM SO SORRY ABOUT RED DEV!L
Determine which of the values is a solution of 4t+6 is less than or equal to 10.
Values:
1, -8, -4, 3, 0, 7
Answer:
1, 3, 7
Step-by-step explanation:
4t + 6≤10
4t≤4
t≤1
Therefore, t can either be equal to or greater than 1.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Need help asap please !!!
Slope = change in y / change in x
Slope = (2-1)/(3 - -1)
Slope = 1/4
What is the length of LN in the right triangle below?
Answer:
D 280
Step-by-step explanation:
Pythagoras theorem
Answer:
a
Step-by-step explanation:
LN=√19＾2 - 9＾2
=√361 - 81
=√280
Multiply:
5m^3 n^5 (25m^6 n)
A. 125m^18n^10
B. 30m^9 n^5
C. 30m^9 n^6
D. 125m^9 n^6
Answer:
D
Step-by-step explanation:
5m^3 n^5 (25m^6 n)
-->5m^3*25n^6m^6
-->125m^9 n^6
Graham drove 42 - miles in 1
hours. How many miles did he
drive in one hour? How man
hours did he take to drive one
mile?
a) What is the independent variable?
the amount of money Bonnie earns (m)
the number of visitors to Bonnie's site (v)
Answer:
v is independent
Step-by-step explanation:
v because v isn't depended on m
m depends on how many visitors there are so it's depended on v.
:)
A coin weighs 3/4 ounces. Laura picked up 6 of these coins. What is the total weight of the coins she picked up? In simplest form.
Answer:
1 1/2 pound
Step-by-step explanation:
If each coin weighs 3/4 ounces and she picked up 6 then you do 3/4 x 6/1 which equals 18/4 and since there is 16 ounces in a pound it simplifies to 1 2/4 or 1 1/2 pounds
There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books
Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T
Answer:
Step-by-step explanation:
This is the equation. Read it carefully.
1/2 * 1/7 T = 1/3 * 1/5 * 90 Reduce
(1/14) * T = 1/15 * 90
1/15 * 90 = 6
(1/14)*T = 6 Multiply both sides by 14
T = 14 * 6
T = 84
what’s is value of X
Answer:
3
Step-by-step explanation:
What is the determinant of
[-2 2 b ]
A= [ 0 3 a ] ?
[ 0 0 -5]
A) -30
B) -4
C) 30
D) 60
Based on the graph, what is true about polygon ABCD?
a. The polygon is a hexagon
b. The area of the polygon is 96 square units
c. The perimeter is 20 unit
d. Side AD is congruent to side DC
Answer:
B
Step-by-step explanation:
The Width of the Rectangle (read Polygon) is 8 units and the Length of the Rectangle is 12 units.
The area of the polygon is 96 square units. Therefore, the correct answer is option C.
From the given graph, we have polygon ABCD.
From the graph, we have AB=DC=12 units and BC=AD=8 units.
Here, the given polygon is rectangle.
Area of a rectangle = Length×Breadth
Now, area of a rectangle = 12×8
= 96 square units
Perimeter of a rectangle = 2(Length+Breadth)
= 2(12+8)
= 2(20)
= 40 units
Therefore, the correct answer is option C.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ4
What is the slope of the line
Answer:
-1.5
Step-by-step explanation:
Use f(x) = x^2 + 4x - 12
A. Does the graph of our function open upward or downward?
B. Indentify the coordinates for the vertex
C. Indentify the x-intercepts
D. indentify the y-intercepts
E. does the graph have a maximum or minimum?
Answer:
I imagine you aren't using calculus, so:
A: the leading term is [tex]1>0[/tex], so it opens upwards.
B. First coordinate of the vertex is [tex]-\frac b{2a}=-\frac42=-2[/tex], the second coordinate we'll find by replacing the value: [tex]f(-2)=(-2)^2+4(-2)-12 = 4-8-12=-16[/tex]
C. Quadratic formula or if you stare at the equation long enough you can rewrite the equation as [tex]f(x) = (x+6)\times(x-2)[/tex]. At this point the x intercepts are the zeroes of the function, or -6 and 2.
D. The y-intercept is the value of the function at 0, or the constant term: -12
E. The graph has a minimum since the curve opens upwards.
help me please please
Answer:
C? yikes if im wrong mb
Step-by-step explanation:
5/6 in simpliest, its C id have to assume
B. Analyze the problem below and answer the questions that follow. a monthly salary of Php 18.500 Complete the table below which shows the deductions on Bianca has her payslip Name Bianca Ramos Assistant For the month of September 2020 Basic Salary 18,500 00 Position Financial Allowances Total Earnings 18.500 00 DEDUCTIONS Description SOCIAL SECURITY SYSTEM MEDICARE (PHILHEALTH) PAGIBIG (FUND) BIR (WITHHOLDING TAX) Amount of Deduction (11) (12) (13) (14). Total Deductions (15) NET PAY (16)
The completed table showing Bianca Ramos's tax deduction and NET PAY
is presented as follows;
SOCIAL SECURITY SYSTEM = Php 1,147
MEDICARE (PHILHEALTH) = Php 268.25
PAGIBIG (FUND) = Php 370
BIR (WITHHOLDING TAX) = Php 5,509.19
Total deductions = Php 7,294.44
NET PAY = Php 11,205.56
Reasons:
Based on online search, the tax rate for the items on the table are as follows;
SOCIAL SECURITY SYSTEM = 6.20% of earnings
MEDICARE (PHILHEALTH) = 1.45% of earnings
PAGIBID (FUND) = 2% of salary
BIR (WITHOLDING TAX) = P1,342.47 + 32% over P5,479
Bianca Ramos's basic salary = 18,500.00
Which gives the deduction amount as follows;
SOCIAL SECURITY SYSTEM = 0.062 × 18,500.00 = 1,147
MEDICARE (PHILHEALTH) = 0.0145 × 18,500.00 = 268.25
PAGIBIG (FUND) = 0.02 × 18,500.00 = 370
BIR (WITHHOLDING TAX) = 1,342.47 + 0.32×(18,500 - 5,479) = 5,509.19
Total deductions = 1,147 + 268.25 + 370 + 5,509.19 = 7,294.44
NET PAY = 18,500 - 7,294.44 = 11,205.56
Her net pay = Php 11,205.56
Learn more about tax systems here:
https://brainly.com/question/8434128
Which of the following numbers are composite?
6,14,25,30,52
Answer:
All of them are composite
Step-by-step explanation:
In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.
What is 5+5 ..................................................
Answer:
10
Step-by-step explanation:
5+5=10
each hand has five fingers so if you count all of the fingers on both hands, you will get 10