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.
Please someone if you know how to do this I need help 10. And 11 please.
Answer:
10.
bag a is lighter than bag b
bag b is lighter than bag c
so bag a is lighter that bag c
Step-by-step explanation:
... sorry i dont know #11, but hope this helps
Answer:
10.
Bag A is LIGHTER than Bag B
Bag B is LIGHTER than Bag C
So, Bag A is LIGHTER than Bag C
11.
pear is the heaviest, and the strawberry is the lightest
Step-by-step explanation:
This is really simple! Looking at the weight scale, the heavier object always goes lower than the lighter object. Knowing this, we can figure out which is heavier and which is lighter.
10.
Bag A is LIGHTER than Bag B
Bag B is LIGHTER than Bag C
Looking at these we can infer that bag c is heavier than both.
So, Bag A is LIGHTER than Bag C
11. The pear falls lower than the apple, meaning it is heavier. The apple falls lower, meaning is it heavier than the apple. We can infer that the pear is the heaviest, and the strawberry is the lightest
Hope this helps!!
-Ketifa
Carl hits the target 50% pf the time he throws a ball at it. Carl uses a coin to simulate his next three pitches. The assigns H for a hit and T for a miss. The results of the 12 trials are shown below. Based on the results, what is the probability that cael will hit the next the Target with exactly two of his next three throws
Answer:
I have that same problem but im trying to figure out the answer
Step-by-step explanation:
Find the lettered angles.
Work out the gradient of the line joining the points (2, 3) and (5,7)
Answer:
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line ([tex]m_{PQ}[/tex]), that is:
[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex], then the gradient of the line is:
[tex]m_{PQ} = \frac{7-3}{5-2}[/tex]
[tex]m_{PQ} = \frac{4}{3}[/tex]
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
answer quick pls!
Jose wants to plan a skate party for his younger cousin's birthday. Skate Land charges a $65 flat fee and $7.50 per person.
Skate Land uses the equation C = 7.50p + 65 (C = total cost; p = number of people ) to calculate the total cost
based on the number of people attending. Find the total cost, C, of the birthday party if Jose invites 30 friends and family
members.
Answer:
$290
Step-by-step explanation:
We can use the equation that Skate Land created to find the total cost
C = 7.50p + 65
p = people so if we have 30 people, we have to solve 7.50 x 30
C = 225 + 65
we can now add the flat fee of $65 to get the total cost for the birthday part
C = $290
hope this helps :)
Which equation can be used to find the length of AC?
Answer:
10*sin(40)=AC
Step-by-step explanation:
[tex]sin(x)=\frac{opposite}{hypotenuse}[/tex]
so
here it says
[tex]sin(40)=\frac{AC}{10}[/tex] multiply both sides by 10
[tex]10*sin(40)=AC[/tex]
PLEASE HELP ME
If $ 2000 is invested in an account that pays interest compounded continuously, how
long will it take to grow to $ 2800 at 8.25%?
Answer:
5 years
Step-by-step explanation:
A bottle-filling process has a low specification limit of 1.8 liter and upper specification limit of 2.2 liter. The standard deviation is 0.15 liter, and the mean is 2 liter. The company now wants to reduce its defect probability as 0.0455. To what level would it have to reduce the standard deviation in the process to meet this target
Answer:
The standard deviation would have to be reduced to 0.1 in the process to meet this target
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean is 2 liter.
This means that [tex]\mu = 2[/tex]
The company now wants to reduce its defect probability as 0.0455.
This means that:
P(X < 1.8) = 0.0455/2 = 0.02275
P(X < 2.2) = 0.0455/2 = 0.02275
This means that the pvalue of Z when X = 1.8 is 0.02275. This means that when [tex]X = 1.8, Z = -2[/tex]. We use this to find the new standard deviation [tex]\sigma[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{1.8 - 2}{\sigma}[/tex]
[tex]-2\sigma = -0.2[/tex]
[tex]\sigma = \frac{0.2}{2}[/tex]
[tex]\sigma = 0.1[/tex]
The standard deviation would have to be reduced to 0.1 in the process to meet this target
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Graph the line with slope 6 and y intercept -3
Answer:
Step-by-step explanation:
Round up 64,781 to the nearest ten thousand
64,781
/\
|
60,000
---
hope it helps
Answer:
60,000
Step-by-step explanation:
Hope This Helps ; )
Plz Mark Brainliest
Write and solve equation to answer the question 18 is 32% of what number W? And equation is equal 0.32 the solution is W equal
Answer:
W = 56.25
Step-by-step explanation:
Is is equivilent to equals.
Of is equivilent to multiplication.
18 = 0.32 x w
0.32 x W = 0.32w
18 ÷ 0.32 = 56.25
To check it,
56.25 x 0.32 = 18!!
Please help with these math questions I really need it ! Don't just do it for points pls
Answer:
wouldn't that be 81 but i dont know
Answer:
1. d 2. 43.5 3. 817.5
Step-by-step explanation:
Find the measure of 46.
6
620
6.6
{
66 = [?]
2003 - 2021 Stellus Corporation. All Rights Reserved.
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
176.625 rounded to the nearest tenth
Answer:
176.6
Step-by-step explanation:
Answer:
180 idrk
Step-by-step explanation:
Can someone
Please
Help me
Answer:
First let's calculate the area of the bottom part
diameter is 34 m
so the radius (r) is 1/2 * 34 m = 17 m
bottom part is 1/2 of a circle
circle surface area formula is πr²
so surface area of our bottom part is 1/2 * πr²
1/2 * πr² = 1/2 * 3,14 * 17² = 453,73
so it's 453,73 m²
Triangle part consists of 2 smaller rectangular triangles
surface area for rectangular triangle is 1/2 * a * h
in our case a = r = 17 m and h = 30m
so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255
so it's 255 m²
and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²
Surface area of the entire figure is a sum of 510 m² and 453,73 m²
510 m² + 453,73 m² = 963,73 m²
Helpp!
Find the value of x.
Answer:
the answer is C
Step-by-step explanation:
need help on question 22 and 23 , ill give extra points
HELPPP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
try the last one on your own then check answer
A flagpole casts a shadow that is 23 feet long. Jorge is 5.25 feet tall, and
while standing near the flagpole he casts a shadow that is 3 feet long. How
tall is the flagpole?
Answer:
5.5
7.5 =
h
23.5
7.5h = 129.25
h = 17.2
3
The flagpole is 17.2 feet long.
The measure of height of flagpole is 40.25 feet.
Given that, a flagpole casts a shadow that is 23 feet long.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
Jorge is 5.25 feet tall, and while standing near the flagpole he casts a shadow that is 3 feet long.
Let the height of the flagpole be x.
Now, tan θ=5.25/3 -------(I)
and tan θ=x/23 -------(II)
Equation (I)=(II), we get
5.25/3 = x/23
⇒ 3x=5.25×23
⇒ 3x=120.75
⇒ x=120.75/3
⇒ x=40.25 feet
Therefore, the measure of height of flagpole is 40.25 feet.
To learn more about the heights and distance visit:
brainly.com/question/24271007.
#SPJ2
What expression is equivalent to 1/3x + 1/4 - 2/3x
Show work please
Answer:
1/12 * (-4x+3)
Step-by-step explanation:
1/3x + 1/4 - 2/3x
1/12 * (4x+3-8x)
1/12 * (-4x+3)
please help:) i would appreciate it lol
Answer:
subtotal: $65.00
8% sales tax: $5.20
total: $70.20
Step-by-step explanation:
A cube is a special right rectangular prism with congruent sides. If a block of cheese is shaped like a cube with a length of 5 inches, find the volume of the block of cheese.
A) 25 cubic inches B) 100 cubic inches Eliminate C) 125 cubic inches D) 175 cubic inches
Answer:
125 cubic inches
Step-by-step explanation:
Hey There!
We can easily find the volume of a cube by cubing the side length
[tex]5^3\\5*5=25\\25*5=125[/tex]
so we can conclude that the volume of the block of cheese is 125 cubic inches
Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
A culture of bacteria has an initial population of 790 bacteria and doubles every 4
hours. Using the formula P+ = Po.2, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 11 hours, to the nearest whole number?
Answer:5314.4563≈5314
Step-by-step explanation:
Which of the following is equivalent to the complex number i24?
Answer: 1
Step-by-step explanation:
Rewrite as (i^4)^6
Rewrite i^4 as 1
Rewrite i^4 as (i^2) ^2
((i^2)) ^2)6
Rewrite i^2 as -1
((-1) ^2) 6
Raise -1 to the power of 2
1^6
One to any power is 1.
I need help!!!! I’m stuck!!!
Answer:
66.3
Step-by-step explanation:
A package of gift cards has a length of
8 inches, a width of 4 inches and a
volume of 64 inches cubed. What is
the height of the box?
A) 6
B) 8.
C) 4
D) 2.
D) 2.
8x4=32
64/32=2
Answer:
8x(4) = 64
8x = 16
h = 2 inches
Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
See attachment to get your answer. Thanks.
