The mean absolute deviation of the given numbers is 0.5.
What is a mean?The mean is the sum of all values divided by the total number of values.
The mean of the given number is obtained by dividing the sum of the values by its total number of value.
i.e. (1.6+1.7+2.5+2.8+2.8+3)/6 = 2.4
Then taking the difference of each number from the mean.
i.e. (1.6-2.4), (1.7-2.4),(2.5-2.4),(2.8-2.4),(2.8-2.4),(3-2.4)
i.e. -0.8,-0.7,0.1,0.4,0.4,0.6
Take the sum of the absolute value of the above numbers
i.e. |-0.8+-0.7+0.1+0.4+0.4+0.6| = 3
Divide 3 by 6 to obtain mean absolute deviation.
i.e 3/6 = 1/2 =0.5
Hence, 0.5 is the mean absolute deviation of the given numbers.
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The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, …
Let n represent the term number and f(n) the term in the sequence. The function ____ represents the sequence
A: f(n)=-3n+23
B: f(n)=-3n +61
C: f(n)= 20-3n
D: f(n) =20n-3
Click or tap the graph to plot a point.
Function representing the sequence will be f(n) = (23 - 3n
The first five terms of an arithmetic sequence are as 20, 17, 14, 11, 8....
Let n represents the number of term and f(n) the the term in the sequence.
Then we have to find the function that represents the sequence.
As we know explicit formula of an arithmetic sequence is given by
Or the function representing the sequence will be
f(n) = a + (n-1)d
where a represents first term of the sequence a = 20
and common difference d = 17-20 = (-3).
Now the function which represents this sequence will be
f(n) = 20 + (n-1)(-3) = 20 - 3n + 3 = 23 - 3n
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32. What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
(1 point)
The area of the rhombus is 49√6. Option B
How to determine the area of the rhombusThe formula for calculating the area of a rhombus is expressed as;
Area = pq/2
Where;
p and q are the diagonals of the rhombus
From the diagram shown, let's determine the value of p
Using the trigonometric identity;
Tan θ = opposite/adjacent
Opposite side = pAdjacent side = 7Substitute the values into the formula, we have;
tan 60 = p/7
Find the value of tan 60 and then substitute
√3 = p/7
cross multiply
p = 7√3
But;
Area = 7√3 × 7√3/2
Area = 49√6
Hence, the value is 49√6
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in a school walking club, a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester. the act of awarding t-shirts to the students is an example of a(n) .
The given statement "a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester " is the example for tangible reinforcers.
Tangibles serve as a visual reminder for employees to keep an eye out for desired behaviours and then provide specific positive feedback. . This aided you in completing your assignment quickly and correctly. "You have earned a Tiger Ticket because you followed directions," can improve the student-teacher relationship. You can give the student positive specific feedback without using a tangible (ticket, token, etc.), but a tangible must always be accompanied by positive specific feedback.
Hence, the given statement is an example of tangible reinforcers
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the mean recurrence interval (mri) of an earthquake in the 8.0-9.0 magnitude range in the los angeles area is approximately 1,500 years. based on this, what is the probability of an earthquake in this magnitude range sometime in the next 30 years?
Using the Poisson distribution, the probability of an earthquake in the 0.8-0.9 magnitude range sometime in the next 30 years is
1 - 1.9287 x 10⁻²².
It is given that mean recurrence of an earthquake is the 8.0-9.0 magnitude is approximately 1500 years.
We have to find the probability of an earthquake in this magnitude range sometime in the next 30 years.
Since, an occurrence of an earthquake is a rare event, we can use Poisson distribution here.
Poisson distribution gives the probability of occurrence of any event in a given time interval.
Let the average number of event per year in 30 years of period is λ.
[tex]\lambda = \frac{1500}{30}[/tex]
λ = 50
Let, the occurrence of an earthquake is a random variable x.
Then the probability that at least an earthquake occur in next 30 years is calculated as:
P(x ≥ 1) = 1 - P(x<1)
P(x ≥ 1) = 1- P(x=0) -----(1)
PDF of Poisson distribution with parameter λ is given as:
[tex]P(X = x) = \dfrac{e^{-\lambda}{\lambda}^x}{x!}[/tex]
So, in this case
[tex]P(x=0)= \dfrac{e^{-50}{(50)}^0}{0!}[/tex]
[tex]P(x=0)= \dfrac{1.9287 \times 10^{-22}}{1}[/tex]
[tex]P(x=0)={1.9287 \times 10^{-22}[/tex]
Substitute this value in equation (1)
P(x ≥ 1) = 1 - 1.9287 x 10⁻²²
Hence, the probability of an earthquake in next 30 years is
1 - 1.9287 x 10⁻²².
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Sadie is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Sadie will earn $40 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. Sadie's songs were played on 3 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $440. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Sadie's songs were played. Define the variables that you use to write the system.
The number of commercials and movies on which the songs were played are 5 and 2.respectively
How to determine the number of commercials and movies on which the songs were played.From the question, we have the following parameters that can be used in our computation:
Earnings from songs played in commercial = $40Earnings from songs played in movie = $120Total earnings = $440The number of commercials is x, and the number of movies is y
The above parameters when represented as an equation is as follows
40x + 120y = 440
x = y + 3
Substitute x = y + 3 in 40x + 120y = 440
40(y + 3) + 120y = 440
Expand
40y + 120 + 120y = 440
Evaluate the like terms
160y = 320
Divide by 160
y = 2
Recall that
x = y + 3
So, we have
x = 2 + 3
x = 5
Hence, the number of commercials is 5 times
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I NEED HELP ON THIS QUESTION!!
Answer:
B
Step-by-step explanation:
Determine the equation of the line given by the table and compare with given options.
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 9) and (x₂, y₂ ) = (7, 19) ← 2 ordered pairs from the table
m = [tex]\frac{19-9}{7-2}[/tex] = [tex]\frac{10}{5}[/tex] = 2 , then
y = 2x + c ← is the partial equation of the line
to find c substitute any ordered pair from the table into the partial equation.
using (6, 17 ), that is x = 6, y = 17 , then
17 = 12 + c ⇒ c = 17 - 12 = 5
y = 2x + 5 ← equation of line from table, with y- intercept c = 5
thus the function with a y- intercept greater than the table line is B
graph the line y=3x-4
Answer:
See attached image
Step-by-step explanation:
You can graph lines on a website called desmos graphing calculator!
Answer:
Step-by-step explanation:
you replace x with anything you want I will do 0. Then the the first point is (0,-4). Now I am gonna replace x with something else like 4. The second point is (4,8), now connect the two points and you got a line.
Geometry Suppose that a pizza must fit into a box with a
base that is 12 in. long and 12 in. wide. You can use the
quadratic function A Tr² to find the area of a pizza in
terms of its radius.
a. What values of r make sense for the function?
b. What values of A make sense for the function?
c. Graph the function. Round values of A to the
nearest tenth.
Question 39
The value of (a) r that make sense is 6 in. and (b) the value of A that make sense is 113.1 in²
How to determine the Radius of the circle?You should understand that the pizza is fit inside the square box making all circumference of the circle to touch all the sides of the square box
The quadratic function reads
A= πr²
Where A= Area of circle,
π = 22/7
and r= radius of the circle
A= (22/7)*6
Width of the box is 12
Therefore 12/2 = r=6
A= (22*6*6)/7
A=113.1 in²
In conclusion, he value of (a) r that make sense is 6 in. and (b) the value of A that make sense is 113.1 in²
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what is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents? if required, round your answer to two decimal places.
The point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.
The point estimate of P, is defined as the proportion of successes in the sample.
P' = X/N ; where X = number of successes; N = total trials.
Here, N = 1000
According to the Child outlook file, number of "yes" = 240.
Hence, P' = 240/1000
P' = 0.24
Therefore, the point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.
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Calculate total pressure experienced by a diver working 15m below suraface of sea(10N/kg,density of water1g/cm3 and atmospheric pressure =100000N/m3
The total pressure experienced by a diver working 15m below surface of sea is 150000 Pa.
What is Pressure?Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
We need to find the total pressure experienced by a diver working 15m below surface of sea.
P = h·ρ·g
P = pressure
h = depth = 15 m
ρ = density = 1g/cm³=1000kg/m³
g = acceleration due to gravity = 10 m/s²
Substitute the values in the formula of total pressure.
P=1000×15×10
P=150000Pa
Hence, 150000Pa is the total pressure experienced by a diver working 15m below surface of sea.
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JKLM is a parallelogram.
What is the measure of ZKLJ?
Enter your answer in the box.
Theres no point 'Z', so i'm gussing you want the angle of <KLJ?
<K and <M are the same, therefore <M = 130
<J + <K + <M + <L = 360
130 + 130 = 260, 360 - 260 = 100
<J and <L are the same
<MJK = 50 and <KLM = 50
<KLM/2 = <KLJ
50/2 = 25
. three football teams are taking part in a tournament. each team plays each other team once. for a win the team scores 3 points, the other team 0 points. for a draw both teams get 1 point each. which number of points is impossible, for any team to reach at the end of this tournament?
To get a number point 1 is impossible for any of the team to reach at the end of the described tournament.
As given in the question,
Total number of footballs teams = 3
Each team plays once with other team
Let three teams are Team1, Team2, and Team3
Team1 plays with Team2 and Team3
Team2 will play with Team3
Winning points = 3
Losing team points = 0
Withdraw teams points = 1
To reach in finals suppose Team1 plays with Team2 and Team3 and win
Points of team1 = 3 + 3
= 6points
As team plays once with other team , Team1 is out of the game.
Team2 and Team3 play with each other
To reach at the end of the tournament one team has to win let it be Team2
Points of Team2 = 3
Points of Team3 = 0
No withdraw game is possible to reach into finale.
Therefore, point 1 is impossible for any team to reach at the end of the tournament.
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forty percent (40%) of consumers believe that cash will be obsolete in the next twenty years. assume that 8 consumers are randomly selected. find the probability that:
The probability that less than three of the chosen consumers think that currency won't be used in 20 years is 0.293.
According to the statement, 40% of consumers think cash will be unnecessary in 20 years. Let us assume that eight consumers are chosen at random.
We need to determine the likelihood that fewer than three of the chosen consumers think currency will be obsolete in 20 years.
We will use the properties of probability distribution in the given scenario.
We know that for randomly selected variable the properties of combination are used.
P(X=1) + P(X=2) = C¹₈ × 40 × 60⁷ + C²₈ × 40² × 60⁶
P(X=1) + P(X=2) = 0.293
Therefore, there is a 0.293 percent chance that fewer than 3 of the chosen customers think that cash will be obsolete in 20 years.
The ratio of likely outcomes to all scenarios that are feasible, to all possible outcomes is called probability.
Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.
This claim asserts that under certain conditions, the average of many samples (observations) of a random variable without finite mean and variance is itself a random variable, whose distribution converging to either a normal distribution as the number of samples increases.
Disclaimer: The complete question is :
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that only 8 consumers are randomly selected. Find the probability that less than 3 of the selected consumers believe that cash will be obsolete in the next 20 years .
(Round to three decimal places as needed.)
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d) if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg
When 36 reindeer are chosen at random, the probability that the mean weight is less than 100 kg is 0.1492.
A standard error is the standard deviation of its sampling distribution or an interpretation of that standard deviation.
Given,
Mean of the weights = 102.4 kg
Standard deviation = 13.9 kg
To determine the probability that the mean weight of 36 reindeer will be less than 100 kg, first compute the standard error using the formula,standard error, [tex]\sigma_x=\frac{\sigma}{\sqrt{n}}[/tex]
Where, [tex]\sigma[/tex]=standard deviation
n= number of reindeer
substitute the values in the formula,
[tex]\sigma_x=\frac{13.9}{\sqrt{36}}\\\\\sigma_x=2.31667[/tex]
Now,
[tex]P(x < 100)=P(x < \frac{100-102.4}{2.316})\\\\=P(z < -1.04)[/tex]
from z-score table,
=0.1492
Thus, the probability the their mean weight is less than 100 kg is 0.1492.
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Your question is incomplete, here is the complete question.
The weight of male reindeer of the R. Santa Claus subspecies is normally distributed with mean 102.4 kg and standard deviation 13.9 kg
if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg?
Find the angle the line 3v = 2x + 6 makes with the x-axis.
The angle that the line 3y = 2x + 6 makes with the [x] axis is (θ) = 33°69'.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the equation -
3y = 2x + 6
The given equation is -
3y = 2x + 6
y = (2/3)x + (6/3)
y = (2/3)x + 2
Slope of the line -
m = 2/3.
We know slope is also given by -
m = tan(θ)
So -
tan(θ) = 2/3
(θ) = tan⁻¹(2/3)
(θ) = 33°69'
Therefore, the angle that the line makes with the [x] axis is (θ) = 33°69'.
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64 divided by blank equals 8
Answer: 8
Step-by-step explanation:
8 times 8 is 64
a company makes wax candles in the shape of a cylinder. each candle has a diameter of 4 inches and a height 8 of inches. if the company used of wax, how many candles did it make? use for , and do not round your answer.
If the company has made 6732.16 in³ wax , Total number of candles made is 67
According to the question,
It is given that a wax candle is in cylindrical shape
Diameter of candle = 4 in
Radius will be = 4 / 2
=> 2 in
Height of each candles = 8 in
Company has used 6732.16 in³ of wax
We have to calculate number of candles company has made
Volume of cylinder = πr²h
Where r is radius and h is height
Substituting all the values,
Volume of candle = π (2)² (8)
=> V = 3.14 × 4 × 8 (putting π = 3.14)
=> V = 100.48
Therefore , Number of candles made = Total volume /volume of one candles
=> 6732.16 / 100.48
=> 67 candles are made by company
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plsss help i’ll give brainlist to right answer
Answer:All I know is that it’s not < or > but It might be ≤
Step-by-step explanation: Bye the way, you can only give brainliest when there is two questions.
[tex]\leq[/tex]
Step-by-step explanation:
your statistics class has 26 students in it what is the probability that both students are girls given that the second student chosen is a girl
Given that the second student chosen is a girl, the probability that both students are female is 0.175.
The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.
Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.
The probability of selecting a girl from the class is
[tex]= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}[/tex]
It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:
[tex]= \frac{7}{16} * \frac{6}{15}\\\\= 0.175[/tex]
Hence, the probability is 0.175.
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Your question is incomplete, here is the complete question.
Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
I NEED HELP NEOW PLS
Step-by-step explanation:
SWT + TWU =180º therefore SWU must be a line. Aka SWU is linear. So SWT and TWU must be a linear pair.
SWT + SWT = 180º therefore 2SWT=180º deviding both sies by 2 we get SWT = 90º Therefore SWT is replacing TWU. SWT is substituted into TWU. So substitution.
SU | TV basically means the line that passes through both points S and U is perpendicular to the line that passes through both points T and V. Therefore it is the Defenition of perpendicular lines.
If this helped please rate the answer.
a study of treatments for angina (pain due to low blood supply to the heart) compared bypass surgery, angioplasty, and use of drugs. the study looked at the medical records of thousands of angina patients whose doctors had chosen one of these treatments. it found that the average survival time of patients given drugs was the highest. what do you conclude?
We can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
The nurse takes the patient's cardiac output and makes a decision on how the patient will react to the medication.
What types of tasks does a nurse perform?
Registered nurses (RNs) administer and supervise patient care, educate the public about various ailments, and provide psychological support and counseling to patients' relatives. Most nurses collaborate to doctors in a variety of contexts.
How many years do such people live?
People who have access for informal health information as having a nurse or doctor in the parents 10% more likely to remain past the age of 80, according study released in a journal article by that of the Directorate of Economic Research.
Therefore, we can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
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Provide the missing statements and reasons for the following proof:
The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:
S1: Line m is parallel to line n.
S2: ∠1 = ∠2
R3: Corresponding angles postulate
R5: Supplement Postulate
S7: m∠1 + m∠3 = m∠2 + m∠3
What are Supplementary Angles?
Supplementary angles, when added together will give us a sum of 180°.
Linear pair angles and corresponding angles are supplementary.
Thus, to prove that ∠1 is supplementary to ∠3:
We are given that lines m and n are parallel.
∠1 and ∠3 are corresponding angles.
So therefore, ∠1 = ∠3 by the corresponding angles postulate.
∠2 and ∠3 are linear pair, their sum therefore equals 180° based on the definition of supplementary angles.
Based on the substitution property, we have the following:
m∠2 + m∠3 = m∠1 + m∠3
m∠1+m∠3=180°
Therefore, ∠1 is supplementary to ∠3 based on the definition of supplementary.
The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:
S1: Line m is parallel to line n.
S2: ∠1 = ∠2
R3: Corresponding angles postulate
R5: Supplement Postulate
S7: m∠1 + m∠3 = m∠2 + m∠3
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An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)= -4.9t^2 + 19.6t + 58.8, where s is in meters. How high will the object be after 3 seconds
73.5 ft
98.49 ft
161.7 ft
333.69 ft
The first option is true since the item achieved its maximum height of 73.5 feet.
What does a quadratic equation's vertex form mean?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem. The answer could be simple or complicated.
This quadratic equation, which has the form y=a(x-h)2 + k, is referred to as being in vertex form. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)
We may deduce from the facts above that
-4.9 t2 + 19.6 t + 58.8 = 0
The equation will logically fit into the square upon completion.
y = a(x-h)^2 + k
where h will be the time it takes to get to a height of k.
-[tex]4.9t^{2}[/tex] + 19.6t + 58.8 = 0
-[tex]4.9t^{2}[/tex] + 19.6t = - 58.8
-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8
Now take half the linear term, square it, and add it to both sides.
-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8
-4.9( [tex]t^{2}[/tex] - 4t + 4 ) = -58.8 + 19.6
-4.9 [tex](t-2)^{2}[/tex] = - 78.8
s(t) = -4.9 [tex](t-2)^{2}[/tex] + 78.8
now we have t = 3sec
s(t) = 73.5ft
The object reached its maximum height of 73.5 ft, the first choice is correct.
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how is (-7.5)-21.04 and (-7.5)+21.04 the same value?
The values (-7.5)-21.04 and (-7.5)+21.04 are not the same
What is a decimal?A decimal can be defined as a number consisting of a whole number and also a fractional part.
These numbers are separated by a dot known as the decimal point
The decimal numeral system is seen as a standard system that denotes integer and non-integer numbers.
It is important to note the following operations;
+ × + = ++ × - = -- × + = -- × - = +From the information given, we have;
(-7.5)-21.04
Multiply the operation
+ 157. 8
Then,
(-7.5)+21.04
Multiply the operation
- 157. 8
Hence, the values are either negative or positive.
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or A parabola opening up or down has vertex (0, – 2) and passes through (4, – 1). Write its equation in vertex form. Simplify any fractions.
The vertex (0,2) of the parabola's vertex shape, which can expand upward or downward, equals (x - 0)² + 2.
What is parabola?
Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve.
What is a vertex form of an equation?
An equation's conventional vertex form is written as:
f(x) = (x-h)² + k where;
(h, k) is the vertex
Vertex (0,2) should be replaced in the equation's vertex form.
f(x) = (x - 0)² + 2
As a result, vertex (0,2) of the parabola with an opening up or down is equal to (x - 0)² + 2.
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Which fraction has a value that's equal to ⅞? A. 2½4 B.1⅝ c. 4%4 D. 5⅝
The improper fraction 7/8 has no value in the options given
Conversion of Improper FractionTo do this, we must divide the dividend by the divisor in order to change an improper fraction to a mixed number. After division, the acquired quotient becomes the whole numerals, the remainder becomes the new numerator, and the denominator remains the same, resulting in a mixed number.
To convert 7/8 into decimal number;
7/8 = 0.875
2 1/2 = 2.5
1 5/8 = 1.625
4% = 0.04
5 5/8 = 5.625
In the given options, none of them has a value of 7/8
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HELP with 4 and 6 please
Answer:
4.) a.) 2.01 b.) 404.01
6.) a.) 152.17 b.) 18412.17 c.) 153.14 d.) 18565.60
Step-by-step explanation:
To solve, use the exponential growth formula [tex]A_t=A_0(1+\frac{r}{p})^t[/tex] where
[tex]A_t[/tex] = Amount as a function of time
[tex]A_0[/tex] = Original amount
[tex]r[/tex] = rate
[tex]p[/tex] = period
[tex]t[/tex] = time
For question 4, let
[tex]A_0=400\\r=0.06\\p=12\\t=2[/tex]
So,
[tex]A_t=400(1+\frac{0.06}{12})^2\\A_t=400(\frac{201}{200})^2\\A_t=400(1.01)\\A_t=404.01[/tex]
So, the second-period interest would be 404.01-402=2.01
Question 6 can be solved using the same formula, but let
[tex]A_0=18260\\r=0.025\\p=\frac{12}{4}=3\\t_1=1\\t_2=2[/tex]
So,
[tex]A_t=18260(1+\frac{0.025}{3})^1\\A_t=18260(\frac{121}{120})^1\\A_t=18412.17[/tex]
The first-period interest would be 18412.17-18260=152.17
For the second-period, use [tex]t_2[/tex]:
[tex]A_t=18260(1+\frac{0.025}{3})^2\\A_t=18260(\frac{121}{120})^2\\A_t=18260(1.02)\\A_t=18565.60[/tex]
The second-period interest would be 18565.60-18412.17=153.43
The Population of New York State can be modeled by
Answer: 19.71 Million.
Brian started cleaning at 3:33 PM and finished at 4:21 PM. How long did it take him.
Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes
How did we figure this out?First, we are figuring out what is given we are counting numbers or we can add to get to 4:21 PM.
Counting numbers:
[tex]\boxed{3:33=3:34=3:35=3:36=3:37=3:38=3:39=3:40 }[/tex]
Add the numbers:
[tex]\boxed{3:33+7=3:40+10=3:50+10=4:00+21=4:21}[/tex]
If we add the numbers it would be faster.
Therefore, when we add we get are answer.
Therefore, Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes
Answer:
48
Step-by-step explanation:
if you want to know the probability that it is a defective bolt (event c), which formula would you use?
The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]
Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.
Hence, the formula is [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].
To learn more about bayes rule refer here
https://brainly.com/question/27979497
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Your question is incomplete , here is the complete question
In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?
[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]
