Answer:
x= 83y−17 and y= 83x+17
hope it helps
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:
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Which part is the y-intercept in this equation? y=3x+9
Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
Solve for x in the parallelogram
See attachment for math work.
Please help me Solve for r: r/5 = 7
-2
2
35
-35
Which one is the answer
Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?
Answer:
$475.17
Step-by-step explanation:
Step one:
given data
rate= 3.5% = 0.035
final amount A= $670
time= 10 years
Required
The principal invest P
Step two:
A= P(1+r)^t
substitute
[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]
divide by 1.41
[tex]P= 670/1.41\\\\P=475.17[/tex]
The invested principal is $475.17
Answer:
500
Step-by-step explanation:
its on delta math
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
I ANSWERED A AND B. I ONLY NEED THE ANSWER TO C. PLEASE HELP :(
Answer:
1.5
Step-by-step explanation:
Please correct me if I'm wrong. :)
4/5 divided by 3/7 :))
Answer:
1.86666666667
Step-by-step explanation:
Answer:
1 13/15
Step-by-step explanation:
The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?
44%
I hope this helped!!!
Answer:
ummmmmmmmm 44?
Step-by-step explanation:
Rachel signed up for a frequent-flier program. She receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip. How many frequent-flier miles will she have after 5 round-trips?
Answer: 13800 frequent-flier miles
Step-by-step explanation:
From the question, we are informed that Rachael receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip.
The number of frequent-flier miles she will she have after 5 round-trips will be:
= 4300 + 1900(5)
= 4300 + 9500
= 13800 frequent-flier miles
Someone help plz right answer gets to be brainliest
Solve the equation. Check your solution. a/4 - 5/6= -1/2
Answer:
a= 4/3
Step-by-step explanation:
1.) Simplify both sides of the given equation:
1/4a + -5/6 = -1/2
2.) Add the 5/6 to both sides (cancels the -5/6)
1/4a + -5/6 (+5/6) = -1/2 (+5/6)
1/4a = 1/3
3.) Multiply both sides by 4 (the denominator)
4 * 1/4a = 1/3 * 4
a = 4/3
To check the solution, plug in 4/3 into a:
4/3/4 - 5/6 = -1/2
2.) Dividing fractions is also multiplication:
(4/3 * 1/4) - 5/6 = -1/2
3.) Get the difference of 1/3 and 5/6
1/3 - 5/6 = -1/2
4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)
-3/6 = -1/2
5.) Check to see if both sides match
-1/2 = -1/2
3-⁶x (3^4 ÷ 3⁰)²
simplify
Answer:
Step-by-step explanation:
– 634302
-5x+3y>9 help me plesese so i can grids
Answer:[tex]x<−95+3y5[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
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????
seven less than the quotient of a number and five is two
The value of the number for the expression seven is less than the quotient of a number and five is two is 45.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a number is seven less than the quotient of a number and five is two.
The value of the unknown number will be calculated as,
x/5 - 7 = 2
x/5 = 9
x = 45
To know more about an expression follow
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Lisa’s home is currently worth $150,000. When she purchased it five years ago, it was worth $180,000. Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent if necessary.
Answer:
16.7 percent decrease.
Step-by-step explanation:
Difference in value = 150,000 - 180,000
= -30,000
As a percent this = (-30,000 / 180,000) * 100
= -0.1667 * 100
= -16.67
Answer:
15.5 repating or 18.4%
Step-by-step explanation:
SORRY
how do i solve this problem?
Answer:
You can use a^2+b^2=c^2;
Step-by-step explanation:
42^2+78^2=(6x-1+10x+5)^2
Answer:
3.5
Step-by-step explanation:
Triangles always equal to 180
42 + 78 + 16x + 4 = 180
124 + 16x = 180
56 = 16x
3.5 = x
You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years
Answer:
first year $20 second year $20.80 Third year $21.63
Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
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
Meg is a veterinarian. She found that 25% of the 24 dogs she saw this week were boxers. Steve is also a veterinarian. He found that 8, or 50%, of the dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
Answer:
Percent
Step-by-step explanation:
lol I just got it right
Which quadrilateral has diagonals that are both congruent and perpendicular?
Answer:
Rhombu is the answer
Answeris rhombus
HELPPP!!! ALGREBRA!!!
Answer:
a
Step-by-step explanation:
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
Find the slope: (7,4) (5, 6)
Answer:
Slope = - 1
Step-by-step explanation:
(x₁ , y₁) = (7,4) & (x₂, y₂) = (5, 6)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]
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:
pls i really need this 20 points I will give brainliest
A rectangle is shown on the coordinate grid.
On a coordinate plane, side d has points (negative 4, 3) and (0, 5), side a has points (0, 5) and (3, negative 1), side b has points (3, negative 1) and (negative 1, negative 3), and side c has points (negative 1, negative 3) and (negative 4, 3).
Which equation represents the side that is parallel to side d?
y = 2 x + 5
y = negative 2 x + 5
y = one-half x minus five-halves
y = negative one-half x minus seven-halves
Answer:
B
Step-by-step explanation:
I hope this helps!
Answer:
The correct answer is B!
Step-by-step explanation:
Slopes of Parallel and Perpendicular Lines Pre-Test Answers:
1: B 8: B
2: A, C, G 9: 1
3: C 10: B
4: A Hope this helps!
5: B
6: C
7: B
Please answer the following question below
Answer:
65°
Step-by-step explanation:
The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°
What is the value of the function f(x) = 7x when x = 0.75? *
Answer:it is -1
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
As per the question, we have
f(x)=7x
at x=0.75
f(0.75)=&(0.75)
f(0.75) = 7 x 75/100 (this is a fraction)
f(0.75)= 525/100 (this is a fraction)
f(0.75)=5.25
Hence, the value of f(x)=7x at x=0.75 is 5.25