Answer:
9(3x-8)
Step-by-step explanation:
9 x 3x= 27x
9 x -8= -72
1
Which equation has a constant of proportionality equal to1/2
Choose 1 answer:
Answer:
C
Step-by-step explanation:
3/6 = 1/2 when simplified.
In a certain assembly plant, three machines, B1, B2, B3, make 30%, 45%, and 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective.
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
Answer:
a. The probability that the finished product selected is defective is 2.45%.
b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.
Step-by-step explanation:
Let A represents the defective product.
We also have the following from the question:
P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30
P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45
P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25
P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02
P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03
P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02
We can therefore proceed as follows:
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
To determine this, the rules of elimination is applied and we have:
P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)
Where;
P(A) = Probability that the selected product is defective = ?
Substitutes the values defined above into equation (1), we have:
P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)
P(A) = 0.006 + 0.0135 + 0.005
P(A) = 0.0245, or 2.45%
Therefore, the probability that the finished product selected is defective is 2.45%.
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
To calculate this, the Bayes’ rule is employed as follows:
P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A) ………….... (2)
Where;
P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?
Also, from the values already defined and obtained in part A, we have:
P(B3) = 0.25
P(A/B3) = 0.002
P(A) = 0.0245
Substituting the values into equation (2), we have:
P(B3/A) = (0.25 * 0.02) / 0.0245
P(B3/A) = 0.005 / 0.0245
P(B3/A) = 0.2041, or 20.41%
Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.
Which expression is equivalent to y^3-2y^2+y
Answer:
the first one i did it yesterday
A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
Answer:
0.57142
Step-by-step explanation:
A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
We are told that the Mean and Standard deviation = 10°C
We convert to Fahrenheit
(10°C × 9/5) + 32 = 50°F
Hence, we solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 59 °F
μ is the population mean = 50 °F
σ is the population standard deviation = 50 °F
z = 59 - 50/50
z = 0.18
Probability value from Z-Table:
P(x ≤59) = 0.57142
The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit
is 0.57142
can u find all angles
Answer:
I think it's 118°73°49° not really sure
sorry
Anyone know the answer?
Answer:
kira put the points in the wrong places
An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.
a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above
Answer:
The correct option is f.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
It is provided that an experimenter flips a coin 100 times and gets 58 heads.
That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].
The critical value of z for 90% confidence level is, z = 1.645.
*Use a z-table.
Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]
Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).
The correct option is f.
I have alot of questions
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
you are running a fuel economy study. one of the color you find is blue. it can travel 30 1/2
miles on 1 1/4 gallons of gasoline.
Answer:
69
Step-by-step explanation:
Answer:
24 2/5
Step-by-step explanation:
Which of the following numbers of identical kits can Ms. Tyson make?
Answer:
answer is 1, 2, 6
Step-by-step explanation:
Answer:
1,2, and 6
Step-by-step explanation:
The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
Write Polynomial Function From Graph
Answer:
X=38(8m)#7=274*€7£
Step-by-step explanation:
There you go my answer is pretty much the explanation
not sure what grade this is but if this is collage than that would be the answer
intersecting lines r s and t are shown below. what is the value of x
Answer:
15
Step-by-step explanation:
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
23
Step-by-step explanation:
Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.
Solution :
Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex] which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].
And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.
The area if the triangle is = [tex]$\frac{1}{2} \times 9 \times 9$[/tex]
= [tex]$\frac{81}{2}$[/tex]
Now the entire area is [tex]$(16)^2$[/tex] = 256
Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]
or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]
Thus the answer is [tex]$\frac{431}{512}$[/tex]
You and a friend are playing a game using a spinner divided into 4 equal sections, numbered 1 through Which of the following would not be a fair game? You win the pointer points at 1 or 2; otherwise, your friend wins. You win the pointer points at an even numberotherwise, your friend wins. You win if the pointer points at any number except 3; otherwise, your friend All of the above games are fair.
Answer:
You win if you spin any number except 3, otherwise your friend wins
Step-by-step explanation:
Because the spinner is divided into equal sections, there is an equal probability of spinning any number. In this case, you win by spinning a 1, 2, or 4, and your friend only wins by spinning a 3. The probability of you winning is 34, while the probability of your friend winning is only 14.
A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover a historical marker. ( please help )
Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?
translate the road up 2 units
translate the road up 4 units
translate the road down 2 units
translate the road down 4 units
Answer:
translate the road down 4 units
Hope this helps
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes
Answer:
(20,0)
Step-by-step explanation:
Trust me :)
Answer:
(20,0)
Step-by-step explanation: trust the guy ^
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
my dog is 5 1/2 years old. My cat is 4 1/2 years younger than my dog. how old is my cat
Answer:
1/2 years old
Step-by-step explanation:
5 1/2-4 1/2
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?
Answer:
B
Step-by-step explanation:
Answer:
B : –6 is not in the domain of f(x) but is in the range of f(x).
Step-by-step explanation:
Find the value of x for which I is parallel to m. The diagram is not
to scale.
Answer:
b 56
Step-by-step explanation:
can somebody please help me with this. 3x + 4(x+20)
Answer:7x + 80
Step-by-step explanation :simplify the expression
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. Find the probability that two or more internship trained candidates are hired.
Answer:
The required probability = 0.7143
Step-by-step explanation:
From the information given:
From a group of eight candidates
The no. of candidates that enrolled in internships = 5
The no. of candidates that enrolled in teaching = 3
Also, supposed all the eight candidates are equally qualified;
Then, Let assume that:
Y to represent the number of internship trainee candidates hired.
N to represent no. of candidates in a group = 8
r to represent those who enrolled in paid internship = 5
Now, N - r = 3 (for those who enrolled in traditional teaching program)
Suppose; n represent the positions for local teaching which is given as 3;
Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;
Then, let assume Y is a random variable that follows a hypergeometric distribution; we have:
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.[/tex]
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3[/tex]
Thus, the probability that two or more internship trained candidates are hired can be computed as:
p(Y ≥ 2) = p(Y=2) + p(Y =3)
[tex]p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}[/tex]
[tex]p(Y \geq 2) = \dfrac{40}{56}[/tex]
[tex]\mathbf{p(Y \geq 2) = 0.7143}[/tex]
PLZ HURRAY 25 POINTS PLZ HURRAYYYYY
Name two items for which it would make sense to use indirect measurement to find their heights.
Answer:
ruler and a foot rod stick
Which is the coefficient in the expression 7 + 14?
0.3(n-5)=0.4-0.2n solve for n
Answer: n=3.8
Step-by-step explanation:
It is long but does a good job of explaining it
Let's solve your equation step-by-step.
0.3(n−5)=0.4−0.2n
Step 1: Simplify both sides of the equation.
0.3(n−5)=0.4−0.2n
(0.3)(n)+(0.3)(−5)=0.4+−0.2n(Distribute)
0.3n+−1.5=0.4+−0.2n
0.3n−1.5=−0.2n+0.4
Step 2: Add 0.2n to both sides.
0.3n−1.5+0.2n=−0.2n+0.4+0.2n
0.5n−1.5=0.4
Step 3: Add 1.5 to both sides.
0.5n−1.5+1.5=0.4+1.5
0.5n=1.9
Step 4: Divide both sides by 0.5.
0.5n
0.5
=
1.9
0.5
n=3.8
Answer:
3.8
Step-by-step explanation:
can anyone help me with this one...
A package of cookies includes 54 chocolate chip cookies. Peter is going to split these cookies with 4 of his friends. Write an expression to represent the situation.
Please help!!!...
Answer:
13 and a half
Step-by-step explanation:
54 / 4 simple math honey, let me know if you need more help my door is always open!
An expression to represent the situation is 54/4.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a package of cookies includes 54 chocolate chip cookies.
Peter is going to split these cookies with 4 of his friends.
So, the expression is Total number of cookies/Number of friends
= 54/4
= 13.5
Therefore, an expression to represent the situation is 54/4.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ3
HELP 6th GRADE MATH
To find the the area of a triangle, you can use the expression b x h divided by 2
where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 2 and a height of 4?
Answer: What is the formula for finding the area of a triangle?
Not technically, but sometimes you may have to find the height using the Pythagorean Theorem, so if you have the hypotenuse and the base of a right triangle, the height, h = √(c^2 - b^2), so the area of the triangle could be found by A = 1/2 b √(c^2 - b^2), but it is the same principle as A = 1/2 b h.
Step-by-step explanation:
im in 6th grade to so thats easy