The answer is 1.C 2.$500
Graphs which present the values on the horizontal axis and the number of times this occurs on the vertical axis are known as what?
Answer:
The horizontal axis represents TIME
Step-by-step explanation:
In a time-series plot, the horizontal axis represents time, and the vertical axis represents the value of the variable we are measuring. -The values of the variable are plotted at each of the times, then the points are connected with straight lines.
Ten percent of the engines manufactured on an assembly line are defective.
a. If engines are randomly selected one at a time and tested what is the probability that the first non defective engine will be found on the second trial?
b. What is the probability that the third non defective engine will be found on the fifth trial?
c. Find the mean and variance of the number of trials on which the first non defective engine is found.
d. Find the mean and variance of the number of trials on which the third non defective engine is found.
Answer:
a) the probability that the first non-defective engine will be found on the second trial is 0.09
b) probability that the third non-defective engine will be found on the fifth trial is 0.00486
c) the Mean is 1.1111 and Variance is 0.1235
d) the Mean is 3.3333and Variance is 0.3704
Step-by-step explanation:
Firstly;
Let x be the number of trail on which the rth defective occurs
Also let the probability that an occurrence of a defective be p = 0.10
Here, x follows negative binomial distribution with parameters r and p
The probability mass function of X is as follows:
P(X = x) = [ x -1 p^r ( 1 - p)^(x-r) ; x = r, r + 1, r + 2, ...
r - 1 ]
= [ x -1 (0.10)^r ( 1 - 0.10)^(x-r)
r - 1 ]
= [ x -1 (0.10)^r ( 0.9)^(x-r) ..........n 1..... let this be equatio
r - 1 ]
This represents the probability that the rth success occurs on the xth trail.
a)
probability that the first non-defective engine will be found on the second trial?
Substitute r = 1 and x = 2 in equation 1
P(X = 2) = [ 2 - 1 (0.10)¹ ( 0.90 )²⁻¹
1 - 1 ]
= (0.10) × (0.90)
= 0.09
Therefore, the probability that the first non-defective engine will be found on the second trial is 0.09
b)
probability that the third non-defective engine will be found on the fifth trial?
So we substitute r = 3 and x = 5 in equation 1
P(X = 5) = [ 5 - 1 (0.10)³ ( 0.90)⁵⁻³
3 - 1 ]
= [ 4 (0.10)³ ( 0.9)²
2 ]
= 0.00486
Therefore, probability that the third non-defective engine will be found on the fifth trial is 0.00486
Now the formula for the mean of the negative binomial distribution is as follows:
Mean u = r / p ------- let this be equation 2
The formula for the variance of the negative binomial distribution also is as follows:
Variance α² = rq / p² ---------- let this be equation 3
so
c)
the mean and variance of the number of trials on which the first non-defective engine is found.
First, let the probability that non-defective engine found be p = 0.90
And q = (1 - p) = 1 - 0.90 = 0.10
Now we substitute r = 1, p = 0.90 and q = 0.10 in equation 2 & 3simultaneously,
the mean and variances are as follows;
Mean = r/p = 1/0.90 = 1.1111
Variance = rq/p² = (1)(0.10) / (0.90)² = 0.1235
Therefore the Mean is 1.1111 and Variance is 0.1235
d)
the mean and variance of the number of trials on which the third non-defective engine is found
Let the probability that non-defective engine found be p = 0.90
And q = (1 - p) = 1 - 0.90 = 0.10
Now we substitute r = 3, p = 0.90 and q = 0.10 in equation (2) and (3) simultaneously,
the mean and variances are;
Mean = r/p = 3/0.90 = 3.3333
Variance = rq/p² = (3)(0.10) / (0.90)² = 0.3704
Therefore the Mean is 3.3333 and Variance is 0.3704
What is the value of x in the equation *x - y = 30, when y = 15?
4.
ООО
8
80
200
Answer:
45
Step-by-step explanation:
[tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15
So, I guess you are just messed up with the Xs and Ys.
And I'm not sure what is the 4. ООО 8 80 200 about but here is my guess :
So [tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15.
First step, substitute the [tex]y[/tex] into the equation [tex]x[/tex] - .
So, it would be
[tex]x[/tex] - 15 = 30.
Now, we need the value of [tex]x[/tex].
[tex]x[/tex] - 15 = 30
Group the terms together :
[tex]x[/tex] - 15 ( +15 ) = 30 ( +15 )
So, [tex]x[/tex] would be equals to 30 + 15. And in other words, it would be 45.
So :
[tex]x[/tex] = 45.
Wanna check whether my answer's correct?
Substitute [tex]x[/tex] into [tex]x[/tex] - 15 = 30
That would be :
45 - 15 = 30
So is 45 - 15 = 30?
Yep.
So 45 is the answer.
The value of X is 45.
HOPE THIS ANSWER HELPED :)A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
the car after x years if the rate of decrease is the same each year.
y =
Estimate the value of the car after 6 years. Round the answer to the nearest dollar.
Answer:
temperature and kinctic energy are related
HELP FAST WILL GIVE ALOT OF POINTS!!! Will report any troll answers too :p
Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
A. (5, 5)
B. (0, 0)
C. (1, -2)
D. (1, 0)
E. (3, 4)
D. (1, 0)
This is correct
Answer:
D. (1, 0)Step-by-step explanation:
See the attached picture where all the points are plotted
Only one of the points - (1, 0) helps to form a parallelogram when added
are sports important in our life why?
Answer:
I think so yeah to keep a healthy lifestyle
Step-by-step explanation:
to get fit, and possibly lose weight
Answer:
Sports are a fundamental part of the lives of millions of men and women all over the world. Sports helps build talent and hobbies so that the people can be better at delivering them for personal and professional purposes. Sports also serve as a good leisure activity meant to relieve one from physical and emotional stress hence a healthy living.
Step-by-step explanation:
Two math questions
Among all pairs of numbers whose sum is 14, find a pair whose product is as large as possible. What is the maximum product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
(Use a comma to separate answers.)
The maximum product is nothing.
and
- refer to picture
What is the value of x?
150°
3xº
Answer:
the answer is 50
Step-by-step explanation:
150 / 3 = 50
Answer:
50
Step-by-step explanation:
compute the sum of the first 40 positive multiples of 3
Answer:
fvhfbevhebeo
Step-by-step explanation:
Answer: 2460
Step-by-step explanation: Used a calculator, and added from 3 x 1, since the answer is the first 40 positive multiples.
Another way is: 3 + 6 + 9 + ... + 120. There are 40 numbers, so 20 pairs of 123. 123 x 20 + 2460 :)
HOPE THIS HELPS <3
can someone help me with this and can someone tell me what operation it is
Answer:
12.78
Step-by-step explanation:
63.65 divided by 5 = 12.7
Answer:
Equation:63.65÷5=12.73
A)$12.73
Step-by-step explanation:
Division is this symbol ÷
Your problem directly states to divide the amount in money by the amount of children
Which graph shows a function whose inverse is also a function?
Answer:
the one that i take a screen shot
Answer:
the right answer is C
Step-by-step explanation:
edge2020
Shannon is paid £1150 a month after deductions.
What is her net annual salary? (A year = 12 months)
Answer:
I think that answer is 13800
Step-by-step explanation:
What is the equation of the line showed in this graph?
Answer:
y=1
Step-by-step explanation
write the point slope form of the line that passes through -8, 2 and is perpendicular to the line with a slope of negative 8
Answer:
y = -1/8x + 1
Step-by-step explanation:
Line perpendicular to 8 is -1/8
If the line were to start at the origin, then y- intercept would be 0, and it would pass through the point (-8, 1) To pass through point (-8, 2), add 1 to y in the first example.
What is the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰?
The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by
C = sin 225° and the value of C = -0.70710678118
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the equation be represented as C
Now , the value of A is given by the equation ,
A = sin 170° cos 55° + cos 170° sin 55°
And let the first angle be = 170°
Let the second angle be = 55°
So , value of A = 170° and value of B = 55°
From the trigonometric relations , we know that
sin ( A + B ) = sin A cos B + cos A sin B be equation (1)
Substitute the values of A and B in the equation , we get
sin 170° cos 55° + cos 170° sin 55° = sin ( 170° + 55° )
So , value of equation A = sin ( 170° + 55° )
On simplifying the equation , we get
sin ( 170° + 55° ) = sin 225°
The value of sin 225° = -0.70710678118
Hence , The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by C = sin 225° and the value of C = -0.70710678118
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Answer: C
Step-by-step explanation:
ur welcome
Which statement correctly describes the relationship represented by the graph?
A.
The relationship is linear and proportional.
B.
The relationship is linear and non-proportional.
C.
The relationship is non-linear and proportional.
D.
The relationship is non-linear and non-proportional.
Answer: A
Step-by-step explanation: The line is linear as it changes at a constant rate which means it’s also proportional as proportional means as x changed so does y.
Help me pleaseeeeeeeeeeeeeee
Answer:
D
Step-by-step explanation:
1 1/8 +3/4= 1 7/8
3- 1 7/8
= 1 1/8
Answer:
D
Step-by-step explanation:
123456789101112131415
f (x) = (x + 1)(x - 3)(x - 4)
Answer:
f(x) = [tex]x^3-6x^{2} +5x+12[/tex]
zeros : -1,3,4
Step-by-step explanation:
Answer:
I solved for the function operation and got 4.53407019
Step-by-step explanation:
Hope this helps!! :)
a recipe that serves 8 people requires 4 1/2 cups of flour.
Suppose you need to make enough to serve 24 people. How many cups of flor do you need?
The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.
Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).
The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8
= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]
Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.
[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups
To learn more about ratios, please check: brainly.com/question/17995727
Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture
Answer:
H
Step-by-step explanation:
The additive inverse property states that x-x=0, or x+(-x). The property that represents this is H.
Hope this helps plz mark brainliest :D
Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?
Select one:
A. 28
B. 34
C. 43
D. 56
Answer:
A. 28
Step-by-step explanation:
A. 28
step 1.
We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.
step 2.
Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.
step 3.
Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.
What is bigger 1.40 or 1.42
Answer:
1.42
Step-by-step explanation:
A company charges 59.99 for cable TV and 49.99 per month for basic cable service How much will it cost for installation and one year of basic cable service
6x-10y=-8
determine if parallel
Answer: Slope = 1.200/2.000 = 0.600
x-intercept = -4/3 = -1.33333
y-intercept = 4/5 = 0.80000
Step-by-step explanation: 6x−10y=−8
Step 1: Add 10y to both sides.
6x−10y+10y=−8+10y
6x=10y−8
Step 2: Divide both sides by 6.
6x/6=10y-8/6
x=5/3y+-4/3
Slope = 1.200/2.000 = 0.600
x-intercept = -4/3 = -1.33333
y-intercept = 4/5 = 0.80000
helpppppp meeee!!!!!!!
Answer:
IT>RT>RI
Step-by-step explanation:
sin72°>sin67°>sin41°
Which represents a function? Edge 2020.
A flag measures 150 feet by 75 feet. Find its area
Area = length x width
Area = 150 x 75
Area = 11,250 square feet
Answer:
11,250 ft
[tex] {?}^{2} [/tex]
Graphing rational functions
Answer:
Opinion B
Step-by-step explanation:
hope that will help you
Math help! Answers???
Answer: 5.b; 6.a
Step-by-step explanation:
A 18 -inch laptop has a screen that is 7 inches tall. How wide is the screen?
We are given:
Diagonal Length of the screen = 18 inches
Length of the screen = 7 inches
Width of the screen = x inches
Finding the width:
In the image, we notice a right-angle triangle
So, we can find x using the Pythagoras theorem
Using the Pythagoras theorem:
18² = 7² + x²
x² = 18² - 7²
x² = 324 - 49
x² = 275
x = 16.6
Hence, the screen is 16.6 inches wide
We are to find the width of the laptop
The width of the laptop is 16.6 inches
Diagonal length of the laptop = 18 inches
Length of the laptop = 7 inches
Width of the laptop = x inches
Using Pythagoras theorem
Diagonal ² = length ² + width ²
18² = 7² + x²
x² = 18² - 7²
x² = 324 - 49
x² = 275
find the square root of both sides
x = √275
x = 16.58
Approximately,
x = 16.6 inches
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