Using the binomial distribution, it is found that:
0.3677 = 36.77% probability that more than 1 of these parts are defective.
-----------------
For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used 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 a success.
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.
This means that [tex]p = 0.18[/tex]
A random sample of 7 parts produced by this machine is chosen.
This means that [tex]n = 7[/tex]
Find the probability that more than 1 of these parts are defective.
This is:
[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]
In which
[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]
[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]
Then
[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]
[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]
0.3677 = 36.77% probability that more than 1 of these parts are defective.
For more on the binomial probability distribution, you can check https://brainly.com/question/15557838
Estimate 3 divided by 1788
Answer:
Maybe the answer for ur question is 1/596 if the 3 divides the number if not then it's only 596
If p(x)=5(x+1), what is the value of p(11)?
Answer:
60
Step-by-step explanation:
Hello!
Since p(x) turns into p(11) we put 11 in for x
p(11) = 5(11 + 1)
Follow PEMDAS
p(11) = 5(12) = 60
The answer is 60
Hope this helps!
Answer:
5(11^2+1)+16
5(121+1)+16
5(122)+16
610+16
p(11)=626
The answer is 626
hoped i helped
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Evaluating an Expression
Evaluate
E OF
3(6-14)
-4.
-15
-6
-1
6
Answer:
hope this help
Step-by-step explanation:
good luck
Answer:
6
Step-by-step explanation:
Find the slope of the line that passes through the points (10,-19) and (12,-20).
Answer:
slope = -1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-20 - (-19) / 12 - 10
-1/2
Find a49 of the sequence 70,63,56,49,…. A. -63 B. -266 C. -273 D. -243
Answer:
(B) -266
Step-by-step explanation:
The formula to find the nth term in a sequence is:
[tex]x_{n} = a + d(n-1)[/tex], where a is the first term and n is the "difference."
Looking at this equation, we can see that the number decreases by 7 each time and the first term is 70.
So:
[tex]x_n = 70 + -7(n-1)[/tex]
Solve for the equation:
[tex]x_n = 70 + -7n+7\\x_n = -7n+77[/tex]
Since we want to find the 49th term:
[tex]x_9 = -7(49) + 77\\x_9 = -343+77\\x_9 = -266[/tex]
Hope this helped!
2. Describe two methods to determine whether ratios form a proportion.
Answer:
1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.
2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.
when 1/3k + 1/4k = 1 what is the value of k
Answer:
First of all take lcm u get
4 + 3 / 12k = 1
7 = 12k
k = 7/12
ques solved
Answer:
k = 7/12 or approximately 1.71
Step-by-step explanation:
We first need to convert both fractions denominators to their LCM (Lowest Common Multiple)
Multiples of 4: 4, 8, 12, 16
Multiples of 3: 3, 6, 9, 12
12 is the LCM
Then we convert both fractions to have a denominator of 12. Remember, whatever you do to the numerator must be done to the denominator.
1/3 x 4/4 = 4/12
1/4 x 3/3 = 3/12
The equation is now: 4/12k + 3/12k = 1
Add up both variables to get: 7/12k = 1
Divide both sides by 7/12: (12/7)7/12k = 1(12/7)
k = 12/7 or approximately 1.71
find the ratio between 6 cm and 1.5m
Answer:
6:150
Step-by-step explanation:
If you like my answer mark me brainliest
Answer:
1:25
Step-by-step explanation:
1.5m=150cm
6:150
1:25
Is there an association between favorite core subject and favorite elective? If so, describe it.
Answer:
Yes
Step-by-step explanation:
Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.
While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.
Explain why they substituted cos(60) with 1/2 ?
(Look at image)
9514 1404 393
Answer:
equals can be substituted anytime anywhere
Step-by-step explanation:
cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.
__
If you don't substitute at some point, you find the answer to be ...
x = 10/cos(60°)
Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.
What are the equivalent expressions
Answer:
a)=4x
b)= use common factor
=72y−32
=8(9y-4)
Which graph represents 3x2 + 3y2 – 48x + 60y + 384 = 0?
it was helpful to you:
[tex]3 {x}^{2} + 3 {y}^{2} - 48x + 60y + 384 = 0 \\ \\ (x - a) {}^{2} + (y - b) {}^{2} = {r}^{2} \\ is \: the \: circle \: equcation \\ with \: a \: radius \: r \: centered \\ at \: (a \: b) \\ \\ rewrite \: 3 {x}^{2} + 3 {y}^{2} - 48x + 60y + \\ 384 = 0 \: in \: the \: standard \: of \: \\ circle \: equation \\ (x - {8}^{2} ) + (y - ( - 10)) {}^{2} \\ \\ therefore \: the \: circle \: properties \\ \: are \: (a \: b) = (8 \: - 10) \: r = 6 \\ \\ answer \: is \: (8 \: - 10) \: r = 6[/tex]
Answer:
Answer is A!
Step-by-step explanation:
I got it right on edg 2021!
Calculate JK if LJ = 14, JM = 48, and LM = 50
Answer:
JK = 6.86
Step-by-step explanation:
The parameters given are;
LJ = 14
JM = 48
LM = 50
[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]
[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]
∠JML = 16.26°
Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.
From the angle bisector theorem, we have;
LM/JM = LK/JK
50/48 = LK/JK................(1)
LK + KJ = 14.....................(2)
From equation (1), we have;
LK = 25/24×JK
25/24×KJ + JK = 14
JK×(25/24 + 1) = 14
JK × 49/24 = 14
JK = 14×24/49 = 48/7. = 6.86.
JK = 6.86
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3? A. 1:8 B. 8:1 C. 1:9 D. 9:1
Answer:
1:9 is my best guess because 9 is a factor of 3 and 1 would be the lowest ratio for a number less than 3 :)
Step-by-step explanation:
Hope this helps, have a good day :)
Question 2(Multiple Choice Worth 1 points) (06.03 MC) Choose the correct simplification of the expression (5xy5)2(y3)4 A.25x2y22 B.10x2y22 C.25x3y14 D.10x3y14
Question 3(Multiple Choice Worth 1 points) (06.05 MC) Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents.
Answer:
Question 2;
A. 25·x²·y²²
Question 3;
f(g(x)) = 4·x, represents the amount Aurora earns per hour
Step-by-step explanation:
Question 2;
(5·x·y⁵)²(y³)⁴ = (25×x²×y¹⁰)×y¹²
(25×x²×y¹⁰)×y¹² = 25×x²×y¹⁰⁺¹² = 25×x²×y²²
Therefore, the correct option is A. 25·x²·y²²
Question 3;
The given functions are;
The function f(x) = 0.5·x is the earnings of Aurora per ticket sold
The function g(x) = 8·x is the number of tickets Aurora sells per hour
Therefore, we have;
f(g(x)) = 0.5 × g(x) = 0.5 × 8·x = 4·x
The value of the function of a function f(g(x)) = 4·x, represents the amount Aurora earns per hour.
Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?
Answer:
Explained below.
Step-by-step explanation:
The question is:
Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?
(1)
Compute 1/4th of the math class room as follows:
[tex]=700\times\frac{1}{4}\\=175[/tex]
Thus, 1/4th of the math class room is 175 m².
(2)
Compute 3/4th of the math class room as follows:
[tex]=700\times\frac{3}{4}\\=525[/tex]
Thus, 3/4th of the math class room is 525 m².
(3)
Compute 3/5th of half an hour as follows:
[tex]=30\times \frac{3}[5}\\=18[/tex]
Thus, 3/5th of half an hour is 18 minutes.
(4)
A square meter of wall required 4/7 liter of paint.
Then 2/5 of a square meter will require,
[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]
Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.
(5)
1 glass of orange juice can be made using 2/5 of an orange.
Then 2 and half glass will require,
[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]
Thus, 1 orange will be required to make 2 and half glass of orange juice.
C/4+ 2=5 what it’s the value of c
Answer:
c = 12
Step-by-step explanation:
i'm Attaching the work
Write the phrase as an expression. Then evaluate the expression when x = 5.
the sum of a number x and 4, all divided by 3
Expression:
When r= 5, the value of the expression is
Answer:
Step-by-step explanation:
expression = (x + 4) / 3
x = 5
(5 + 4) / 3
= 9/3
= 3
Hope this helps
plz mark as brainliest!!!!!!
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars?
Answer:
Following are the answer to this question:
Step-by-step explanation:
Some of the information is missing which is defined in the attached file, and the solution to this question can be defined as follows:
When the point AC ≅ BC point is in the equal distance from point A and Point B then Point A is perpendicular and the bisector point is in equally distant from the endpoints of that intersects points.
please find the attachment of the full question:
Answer:
If segment AC ≅ segment BC, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
Step-by-step explanation:
I don’t understand how to find the height
Answer:
height, x is 235 ft
Step-by-step explanation:
From trigonometric ratios:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
but:
[tex] \theta = 90 \degree - 36 \degree \\ \theta = 54 \degree[/tex]
adjacent is x
hypotenuse is 400 ft
[tex] \ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet[/tex]
Answer:
[tex]235\ ft[/tex]
Step-by-step explanation:
In this problem, one is given two parallel lines and a few transversals that form a triangle between these parallel lines. The parallel lines, one from the parasailer, and one from the boat have an angle of depression between them. This means the angle of elevation from the boat to the parasailer is also (36) degrees. This is due to the alternate interior angles theorem, which states that when two parallel lines are intersected by a transversal, then the alternate interior angles are congruent.
The triangle formed in this situation is a right triangle, this is indicated by the box around one of the angles. Now that one has found another angle measure in this triangle, one can use right angle trigonometry. Right angle trigonometry is a series of ratios that describe the relationship between the sides and angles of a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the names (opposite) and (adjacent) are subjective, and change relative to the angle one is looking at, however (hypotenuse) refers to the side opposite the right angle. This side doesn't change its name. In this situation, it would be most logical to use the ratio of sine, (sin), as one has the measure of the hypotenuse, and one is trying to find the measure of the side opposite the angle. Substitute the given information into the ratio of (sin) and solve to find the unknown:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(36)=\frac{x}{400}[/tex]
Inverse operations,
[tex]sin(36)=\frac{x}{400}[/tex]
[tex]400(sin(36))=x[/tex]
[tex]235.114=x[/tex]
-4 = BLANK - 9 what is BLANK
Answer:
5
Step-by-step explanation:
Let be blank be a
-4=a-9
-4+9=a
9-4=a
a=5
Proof:
-4=a-9
-4=5-9
-4=-4
Hope this helps ;) ❤❤❤
The value of BLANK in the given expression is 5.
To solve the equation "-4 = BLANK - 9",
Isolate the variable on one side of the equation.
To do this, we can add 9 to both sides of the equation:
-4 + 9 = BLANK - 9 + 9
This simplifies to:
5 = BLANK
So the value of BLANK is 5.
To solve the equation "-4 = BLANK - 9",
We can add 9 to both sides of the equation to isolate the variable.
This gives us the solution of BLANK = 5.
To learn more about equations visit:
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4[30-(10-2)x3] what is the answer?
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4[30-(10-2)\times3]}}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{4[30 - (\bold{8}}) \times3]}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{4[30 - \bf 24]}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{4(30) + 4(-24)}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\bf 120 - 96}}}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{\bf 24}}[/tex]
[tex]\huge\boxed{\rm{Answer: \mathsf{24}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
24Step-by-step explanation:
4[30 - (10 - 2)*3] = 4[30 - 8*3] =4[30 - 24] = 4*6 = 24What is the slope of the line that passes through the points (−3,−3) and (−5,−2)? Write your answer in simplest form.
Answer:
[tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
To do this you would do a formula that is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so you would plug in the coordinates so you get [tex]\frac{-2-(-3)}{-5-(-3)}[/tex] which simplifies to [tex]\frac{1}{-2}[/tex] so the slope would be [tex]\frac{1}{-2}[/tex]
If the range of the function f(x) =5x + 8 is 18, find its domain.
Step-by-step explanation:
f(X) = 5x+18= 18
so,
18 = 5x+18
18-18 = 5x
X= 0
so domain of the function is 0
need help...!! plzzz
Help wanted ill do brainliest!!
Answer:
x=-1
Step-by-step explanation:
0.5 ( 5 - 7x ) = 8 - ( 4x + 6 )
- Distribute 0.5 by 5 and -7x
2.5 - 3.5x = 8 - ( 4x + 6 )
Second- Distribute the invisible one into 4x and 6
2.5 - 3.5x = 8 - 4x - 6
- Combine like terms: Subtract 6 from 8
2.5-3.5x= - 4x + 2
-Add 4x from both sides of the equation
2.5 + 0.5x = 2
-Subtract 2.5 from both sides of the equation
0.5x = 2- 2.5
0.5x = -0.5
-Then divide each side by 0.5x
0.5x = -0.5
0.5 0.5
-Cancel the common factor of 0.5
x = - 0.5
0.5
-Divide -0.5 by 0.5
X = -1
Solve for x.
X + 10
2x - 50
x = [?]
Answer:
x +10 = 2x-50
x-2x = -50-10
-x. = -60
-x/-1 = -60/-1
x = 60°
a piggy bank contains some dimes and nickels. there are 8 more dimes than nickels in the bank. there is a total of $1.40. how many of each ryoe of coin are in the bank?
please give me a simple answer.
Answer:
4 nickels
12 dimes
Step-by-step explanation:
Dimes are worth .1 each while nickels are .05 each.
We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.
If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4
Lets put our equations together:
d=8+n
.1d+.05n=1.4
‐-----------------Plug first equation into second.
.1(8+n)+.05n=1.4
Distribute
.8+.1n+.05n=1.4
Combine like terms
.8+.15n=1.4
Subtract .8 on both sides
.15n=.6
Divide both sides by .15
n=.6/.15=4
Remember there are 8 more dimes so d=8+4=12.
If T is the midpoint of SU what are ST, TU, and SU?
a. ST = 7, TU = 63, and SU = 126
b. ST = 63, TU = 63, and SU = 126
c. ST = 80, TU = 80, and SU = 160
d. ST = 18, TU = 18, and SU = 36
Answer:
B
Step-by-step explanation:
As T is the midpoint of SU, ST=TU. 9x=5x+28, 4x=28, x=7. ST=TU=63 and SU=126
PLEASE HELP!!!! ASAPP!!!! I will name Brainliest.
A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?
Answer:
[tex]\boxed{\sf 200 \ feet^2}[/tex]
Step-by-step explanation:
The 3D shape is a square-based pyramid.
The surface area of a square-based pyramid is given as:
[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]
Plug in the values.
[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]
[tex]\sf SA=100 + 100[/tex]
[tex]\sf SA=200[/tex]