A manufacturer tests a certain number of the headsets that are produced each day, with approximately 3% of the headsets found defective.
If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a % chance of finding a defective headset.
If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to .
Answer:
2.5% chance of finding a defective headset
970
Step-by-step explanation:
3% of the headsets found defective.
If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects,
easy to find percent 273/280=0.975
multiply by 100
97.5 then get 100-97.5=2.5
2.5% chance of finding a defective headset
ok 1,000 units of empirical probability
so the good ones
1,000/100=1
10= 1 percent
10*97=970
970
Empirical probability is the probability based on past experience
Part A
The percentage chance of finding a defective headset is 2.5%Part B
The expected empirical probability is approximately 0.03The reason for arriving at the above values is as follows:
Part A
The known parameters are:The percentage of the daily headset produced the manufacturer found defective = 3%
The number of headset tested by the manufacturer = 280 units
The number of headsets found without defect = 273 headsets
Method:Using the formula for percentage, calculate the percentage defect
The percentage chance of finding a defect = [tex]\mathbf{\dfrac{Number \ of \ dfect }{Number \ of \ Headset} \times 100}[/tex]
Where;
dfect = defect
Solution:The percentage chance of finding a defect = [tex]\dfrac{280 - 273}{280} \times 100 = \mathbf{2.5 \%}[/tex]
The percentage chance of finding a defect = 2.5%
Part B
The known parameters;The theoretical model of the number of defective headset produced = The stated (description) percentage of defective headset produced = 3% defective
The given number of units tested, n(T) = 1,000 units
Method:Calculate expected number of defects and empirical probability using formula
Solution:The expected number of defects, n(D) ≈ 3% of 1,000 = (3/100) × 1,000 = 30
The expected number of defective headset found, n(D) ≈ 30
[tex]The \ 'expected' \ empirical \ probability = P(D) \approx \mathbf{\dfrac{n(D)}{n(T)}}[/tex]
Therefore;
[tex]\mathbf{'Expected' \ empirical \ probability} = P(D) \mathbf{\approx \dfrac{30}{1,000} }= 0.03[/tex]
The expected probability of finding a defect P(D) ≈ 0.03
Learn more about empirical probability here:
https://brainly.com/question/15412351
If an plane can fly around the earth at the equator without stopping. It would have traveled about 24,900 miles. Find the radius of the earth.
Step-by-step explanation:
This equation gives circumference (24900 miles). Knowing this the formula to start off finding radius is
[tex]c=2\pi r[/tex]
we know c(circumference) and we know pi(3.1415926535...)
so move the numbers to isolate r(radius) to look something like this
[tex]\frac{c}{2\pi } =r[/tex]
input the known values then solve.
[tex]\frac{24900}{2\pi } =r[/tex]
[tex]\frac{12450}{\pi } =r[/tex]
[tex]3962.95808... =r[/tex]
(round this to whatever value you are looking for)
Hope This Helps :)
PLEASE HELP ME OUT WITH THIS ONE.
A) 27 units
B) 34 units
C) 42 units
D) 37 units
PLEASE HELP ME PLEASE!!
Answer:
Is that you in your pfp?
Step-by-step explanation:
Answer:
A then D then C then F thats what I see
Step-by-step explanation:
What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?
An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).
What is an equation of the line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
In the equation of a line 2x+y=1, slope is 2.
As we know the slopes of parallel lines are equal, that is m1=m2.
Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.
That is, y-2=2(x+2)
⇒ y-2=2x+4
⇒ y=2x+4+2
⇒ y=2x+6
Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
To learn more about an equation of the line visit:
https://brainly.com/question/14200719.
#SPJ5
someone help plz right answer gets brainliest
Answer:
CGIA
Step-by-step explanation:
C is the first line, G is the second, I is the third, and A is the fourth.
I graphed it all. If I helped you, give me brainliest
y=1/3x+2 and on a graph
Using the slope:1/3 and y intercept:2
Please help me Solve for r: r/5 = 7
-2
2
35
-35
Which one is the answer
PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!
Answer:
[tex]2\sqrt[3]{2}[/tex]
Step-by-step explanation:
This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]
Isabella is ordering pizza for a family dinner. If 2 pizzas will feed 4 people, how many pizzas does she need to order for 12 people?
Answer:
She needs to order 6 pizzas.
Step-by-step explanation:
(My bad I thought it was one pizza that fed 4 people not two)
Answer:
6 pizzas
Step-by-step explanation:
2pizza=4 people
12/4=3
3*2=6
a research company surveys 8000 people the company expects 6000 to respond favorably if there is a percent error of 2.5% what is the Range of people who will respond Favorably to the survey !!!
please help I'm on a test rn and idk what to do !!
Answer:
Least Amount Likley: 7800
Favorable:8200
Step-by-step explanation:
Favorable 8000+2.5%
Least 8000-2.5% this is the range
Answer:
Least Amount Likely: 7800
Favorable: 8200
Step-by-step explanation:
Favorable: [tex]8000+2.5[/tex]% [tex]=8,200[/tex]
Least: [tex]8000-2.5%[/tex][tex]%[/tex]% [tex]=7,800[/tex] this is the range
hope this helps:)
Which inequality is represented by this graph?
Answer:
The answer is D
Step-by-step explanation:
The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to
Help PLz ignore three i need help on 4
Answer:
Step-by-step explanation:
Remark
The best way to find the slope is to take the two points that are marked.
(5,3) and (0,-1)
Formula
m = (y2 - y1)/(x2 - x1)
Givens
y2 = 3
y1 = -1
x2 = 5
x1 = 0
Solution
m = (3 - -1)/(5 - 0)
m = (3+1) / 5 = 4/5
the line parallel to the line in the graph would be the new with a slope equal to the given line.
The perpendicular to this line would have a slope of
m * m1 = -1
4/5 * m1 = - 1 Multiply by 5
4 * m = -5 Divide by 4
m = -5/4
A line perpendicular to the given line would have a slope of -5/4
Helppp!
Three sides of a triangle are 35 cm , 42 cm, and 70 cm . What is the ratio of the sides of the triangle?
A. 5:6
B. 70:84:140
C. 5:6:10
D. 7:6:42
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a blue marble?
Answer:
1 / 2
Step-by-step explanation:
Total # of marbles in the bag = 30
Total # of blue marbles in the bag = 15
Probability of pulling a blue marble = # of blue / total # of marbles
Probability = 15 / 30
Simplify = 1 / 2
Need Help with this!
Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%
Mrs. Jawahir spends $9.45 on 5 greeting cards. Each card costs the SAME amount. How much did she pay for one greeting card?
Answer:
$1.89 for each Card.
Step-by-step explanation:
The answer is 1.89 because 9.45 divided by 5 is 1,89
Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much money did the girls earn in total at their bake sale? Write an equation and solve it to find the answer.
Answer: 1. Equation =3x = M , where x = money each received and M= total money received.
2.total money from bake sale=$96.57
Step-by-step explanation:
STEP 1
Let the total money receive from proceeds be = M
and let the amount of money each receive after the split = x
Since Jan and her two friends raised the money together, the total proceeds will be calculated using the equation
x+x+x= M
3 x = M ---- Equation
STEP 2--- Solving
if 3 x= M
and x =mount of money each receive after the split=$32.19
Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57
Answer:
The last one
Step-by-step explanation:
$96.57
if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)
Answer:
i think its -10
Step-by-step explanation:
hope im not wrong
Kathy is 33 years old. She is 7 years younger than 5 times her daughter's age. The equation,
5x-7= 33, where x equals her daughter's age, can be used to find the age of Kathy's daughter. How
old is Kathy's daughter?
Answer:
Kathy's daughter is 8 years old
Step-by-step explanation:
What we know:
Kathy is 33 years old.
That is 7 years younger than 5 times her daughter's age.
With that, the equation 5x - 7 = 33 can be used to find x.
Step 1:
Move "- 7" to the right side of the equation, and find the opposite of it.
5x = 33 + 7
Step 2:
Add "33" and "+7" to get "40."
5x = 40
Step 3:
Divide both side by "5."
5x/5 = 40/5
x = 8
Thus, Kathy's daughter is 8 years old.
Answer:
8
Step-by-step explanation:
Find the slope of the line that passes through (6,1) and (9,8)
Answer:
2 1/3
Step-by-step explanation:
8-1=7
9-6=3
7/3= 2 1/3
discount mark ups and mark downs! PLZ PKZ HELP DUE IN 10 MINS!!!!!
7. $40 game; 30% off; 5% tax
Answer:
where is the question????
URGENT‼️‼️
3. Find the rate of change represented in the
table.
Answer:
14
Step-by-step explanation:
Using any two ordered pairs, say (2, 17) and (4, 45),
Let,
[tex] (2, 17) = (x_1, y_1) [/tex]
[tex] (4, 45) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{45 - 17}{4 - 2} [/tex]
[tex] = \frac{28}{2} [/tex]
Rate of change = 14
The circumference of a circular lawn is 110 feet. If you double the radius, what will the new circumference be?
Answer:
220
Step-by-step explanation:
The new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The circumference of a circular lawn is 110 feet.
2πr = 110
r = 55/π
Double the radius:
R = 2r= 110/π
New circumference = 2πR = 2π(110/π) = 220 feet
Thus, the new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Which value is equivalent to 5 + 4 x 2?
A) 11
B) 13
C) 18
D) 22
Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(-8,-5) (-2, -5)
Answer:
I believe the answer is -6,0
PLEASE HELP PLS
Which of the following lineat functions have a rate of change that is greater than 14?
Answer
The third table has a gradient of 20, so third table is one of them.
The other one is the last case, For an hour, Fahim earning $1010 so that is the rate per hour.
Step-by-step explanation:
Round 3.457 to
the tenths place.
Answer:
3.5
Step-by-step explanation:
If you like to round 3.457 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.
Love, gocry
plz help soon asap............................................
Answer:
0
Step-by-step explanation:
y=mx+b
m=0
Review the following information about vectors q and r.
What is the value of a?
q=(-4,1)
31
r = (a, 3)
7(q + r) = (-35, 28)
-5
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test