Answer:
The mean number of packages that will be filled before the process is stopped is 50.
Step-by-step explanation:
For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.
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.
Number of trials expected for n sucesses
Also called inverse binomial distribution, is given by:
[tex]E = \frac{n}{p}[/tex]
In which p is the probability of a success in a trial.
Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent.
This means that [tex]p = 0.02[/tex]
Find the mean number of packages that will be filled before the process is stopped.
This is when [tex]n = 1[/tex], as the process is stopped when a package is outside the specifications. So
[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]
The mean number of packages that will be filled before the process is stopped is 50.
Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.
10(2x - 4) + 5 = 2x - 8
Step-by-step explanation:
10(2−4)+5=2−8
10(2x-4)+5=2x-810(2x−4)+5=2x−8
Solve
1
Distribute
10(2−4)+5=2−8
20−40+5=2−8
2
Add the numbers
3
Add
35
3535
to both sides of the equation
4
Simplify
5
Subtract
2
2x2x
from both sides of the equation
Solve for x to the nearest tenth
Answer:
Using the pythagoras theorem
Let's say the hypotenuse of the first diagram is b
b²=4²+2²
b²=16+4
b²=20
b=✔(20)
In finding x , b will be the opposite and the x be the hypotenuse
x²=(✔20)²+7²
x²=20 +49
x²=69
x=8.31
I need help on this
Answer:
YZ<XZ<XY
Step-by-step explanation:
The smallest side would be opposite the smallest angle. The largest side would be opposite the largest angle.
YZ<XZ<XY
Tell whether – 7 is a solution of y + 14 > 2.
Answer:
y>-12
Step-by-step explanation:
y+14>2
y+14-14>2-14
y>-12
giving brainliest ! *easy*
Answer:
19π/15
Step-by-step explanation:
Answer:
θ + 19π / 15 this is my answer
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
What is the constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:
Consider the equation y = 4x - 10. Find y if x = 3.
Answer:
y = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
y = 4x - 10
x = 3
Step 2: Evaluate
Substitute in x: y = 4(3) - 10Multiply: y = 12 - 10Subtract: y = 2Answer:
The simplified system is the arbitrary solution of the original system of equations
Step-by-step explanation:
Y=2 and x=3
Correct me if I’m wrong.
Hope this helps
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
1. Simplify 3 + 5[5 + (7 - 3) - 32]
Answer:
48
step by step explanation:3+5(5+(7-3)-32)
8(12-2)-32
96-16-32
80-32
48
C G
Write a quadratic function f whose zeros are -9 and 2
I
Which expression is equivalent to 1 2 ( 4 x + 8 ) ?
Answer:
48x + 96
Step-by-step explanation:
Given expression: 12(4x + 8)
Using the Distributive Property, we can simplify the given expression.
Distributive Property: [tex]a(b + c) = ab + ac[/tex]
Simplify:
[tex]\implies 12(4x+8)\\\\\implies 12(4x) + 12(8)\\\\\implies 48x + 96[/tex]
The expression that is equivalent to 12(4x + 8) is [tex]48x + 96[/tex].
6 Some women are hardworking
Answer:
Uuummmmmmm...…
Step-by-step explanation:
What-
How-
Why-
???
Are (3, 1) (4, 1) and (5, 1) all equivalent ratios
AN(B\C)=(ANB)\C
how to prove if True or False?
Answer:
AN*(B\C)=(ANB)\C=>ANB/C=ANB/C
Answer:
It's true but I don't know if my proof is technical enough for you.
Step-by-step explanation:
Multiplication and division of numbers can happen in any order.
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
True or false the absolute value of -7 is greater than the absolute value of -3
ture or false?
Answer:
False
Step-by-step explanation:
Since its a bigger number in the negative, it means it further from zero which makes it false
Measure of the missing angle?
Answer:
x=31°
Step-by-step explanation:
2x-7+x+4 = 3x-3
90+3 = 3x
93 = 3x
x = 93/3
x = 31°
If the opposite of g(x) is –g(x),
then –g(x) =
Answer:
g(x) not negitive
Step-by-step explanation:
Select the correct answer.
Which formula gives the area of rectangle EFHG?
A. area = d × j
B. area = (e+h) × (d+l)
C. area = (e+h) × j
D. area = (e + h) × (f+C)
The graph shows a residual plot of values from a line of regression. Use the plot to analyze the results of the correlation.
Answer:
B
Step-by-step explanation:
Simplify [ (4 + 8) x 3 ] /9
Answer:
4
Step-by-step explanation:
Simplify the given expression by doing each operation as per the order of operations. The order of operations is a systematic way of tackling an equation, that ensures that the result attained will be true when one solves the equation; remember, the order of operations states;
1. Parenthesis
2. Exponents
3. Multiplication/ Division
4. Addition/ Subtraction
Simplify the equation by combining terms as per the order of operations;
[ ( 4 + 8 ) * 3 ] / 9
= [ 12 * 3 ] / 9
= 36 / 9
= 4
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
[tex]\hat{y}=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
[tex]m\approx 2.55,b\approx -6.435[/tex]
Substitute these values in (i).
[tex]\hat{y}=(2.55)x+(-6.435)[/tex]
[tex]\hat{y}=2.55x-6.435[/tex]
Therefore, the correct option is A.
The graph of regression line is attached below.
The equation of regression line is [tex]y=2.55x-6.435[/tex]
Equation of regression line:A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.
First we have to enter the given table in graphing calculator,
After entering the data given into table,
We get, m= 2.55 and b= -6.435
So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]
Learn more about the regression line here;
https://brainly.com/question/26059078
What is the Definition of Math?
Answer:
mathematics
Step-by-step explanation:
Example....
"She teaches math and science" .
Helps please is for now
Answer: do ur test ur self
Step-by-step explanation:
Find f'(x) for the given function.
f(x) = 5/3-x
Answer:
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{5}{3-x}[/tex]
Derivative of a quotient:
Suppose we have a quotient:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this question:
Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]
Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]
So
[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in2 B) 370.62 in2 C) 395.84 in2 D) 408.92 in2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
Write an equation in the form y = mx + b of the line that is described. The line has the same y-intercept as the line whose equation is y = - 2 + x and is
parallel to the line whose equation is 3x + 3y = 6.
Answer:
y=x+2
Step-by-step explanation:
So, our line has the same y intercept as the equation is y=-2+x, and parallel to 3x+3y=6
We want to write the equation in y=mx+b form, where m is the slope and b is the y intercept
The y intercept of y=-2+x is -2, (we can rearrange it to be y=x-2) so that's the y intercept of our line
so far, here's our line:
y=mx-2
First, let's put 3x+3y=6 into slope-intercept form
subtract 3x from both sides
3y=-3x+6
divide by 3
y=-x+2
Perpendicular lines are negative and reciprocal; if you multiply their slopes together, the result is -1.
The slope for y=-x+2 is -1.
To find the slope of the new line:
-1m=-1
divide by -1
m=1
The slope of our line is 1
here's our line:
y=x+2
hope this helps!
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?