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
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On a map of Volleytown, a scale of 1 centimeter = 50 kilometers is used. If the actual distance
from Setter Street to Spike Street is 75 kilometers, how far apart should the two streets be on the
map?
Answer:
1km
Step-by-step explanation:
because ur mom gay
Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.
Answer:
y= -3x-16
Step-by-step explanation:
slope intercept form is written as y=mx+b. m is the slope, and b is the y-intercept. -3=m
we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15. subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).
Help help help help !
Answer:Its D
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56
The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.
In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.
Representing the given equation is the slope-intercept form y = mx + b, we get:
6x + 4y = - 56,
or, 4y = - 6x - 56,
or, y = (-6/4)x + (-56/4),
or, y = (-3/2)x + (-14),
we get the slope, m is (-3/2), and the y-intercept, b is (-14).
Assuming the slope of the required line to be m₁, we know that m₁*m = -1, as the two lines are perpendicular to each other.
Thus, m₁*(-3/2) = -1,
or, m₁ = 2/3.
Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Learn more about perpendicular lines at
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Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
What is m=3 and the line goes through the point (2,4) in point - slope form
Answer:
y-4=3(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
WILL MARK BRAINLIEST IF CORRECT! PLS HELP
Answer:
[tex]y^{\frac{2}{5}}[/tex]
Step-by-step explanation:
[tex]2 - \frac{4}{5} = \frac{2*5}{1*5}-\frac{4}{5}\\\\ = \frac{10}{5}-\frac{4}{5}\\\\= \frac{6}{5}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
[tex]\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}} =\sqrt[3]{y^({2-\frac{4}{5})}} \\\\=\sqrt[3]{y^{\frac{6}{5}}}\\\\=(y^{\frac{6}{5}})^{\frac{1}{3}} \\\\=y^{\frac{6}{5}*\frac{1}{3}}\\\\= y^{\frac{2}{5}}[/tex]
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The new length is 4 inches. What is its new width?
Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
8 4/5 ÷ 4 = ?
The principal is equally distributing 8 4/5 cakes on 4 tables for a school party. How many cakes are on each table?
Answer:
Step-by-step explanation:
8 4/5 divided by 4= 2.2
The lengths of 2 sides of a triangle are 26 and 48. What is the range of possible side lengths for the 3rd side of the triangle?
Answer:
16
Step-by-step explanation:
If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16
6
Express in exponential form.
I will mark you brainliest
Help please! Write the equation for the line.
Answer:
y=x-3
Step-by-step explanation:
The slope goes up by 1 and the y intercept is -3
Francis heard that a car radio was on sale for 30% off. If the sale price was $57.75, what was the original price of the raido?
A. $82.50
B. $75.30
Answer
b
step-by-step explanation:
Answer:
a 82.50
Step-by-step explana
82.50
30.00
pluse taxt =3.00
52.50.50
30.00
82 . 50
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
[tex]\frac{1}{2} w -5\ \textless \ -2[/tex]
Help please I will give Brainliest !!!!1
Answer:
exactly two factors
Step-by step Explanation:
A prime number is an integer, or whole number, that has only two factors: 1 and itself. Put another way, a prime number can be divided evenly only by 1 and by itself. Prime numbers also must be greater than 1. For example, 3 is a prime number, because 3 cannot be divided evenly by any number except for 1 and 3.
what is 2%= in simplest form
Answer:
.50
Step-by-step explanation:
that's it in a decimal form
Answer:
0.02
Step-by-step explanation:
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
4÷5679 please paki answer
Answer:
4÷5679= 0.000704349357
but i think u want
5679÷ 4 = 1,419.75
Answer:
0.0007(approximately)
Step-by-step explanation:
Find the slope of the line that passes through (5,2) and (9,6).
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
please answer my question
Answer:
dogs and birds..........
help ! question 6 . I’ll give brain.
Answer:
B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
put me as brainliest
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.
Here is the complete question:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
It would take 11.5 minutes for the printer to use all 92 sheets of paper
Step-by-step explanation:
Given:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92To determine:
How many minutes would it take the printer to use all 92 sheets of paper?
Given the function
[tex]p(t) = -8t + 92[/tex]
We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.
Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes
[tex]0 = -8t + 92[/tex]
[tex]8t = 92[/tex]
Divide both sides by 8
[tex]\frac{8t}{8}=\frac{92}{8}[/tex]
[tex]t=\frac{23}{2}[/tex]
[tex]t = 11.5[/tex] minutes
Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paperPLEASE HELP ASAP!!!!!!!!
Given the exponential function f(x) = 60(1.07)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 60% increase
Exponential growth, 7% increase
Exponential decay, 7% decrease
Exponential decay, 60% decrease
Answer:
3rd
Step-by-step explanation:
Answer:
Exponential decay, 7% decrease
Step-by-step explanation:
what is the slope for the graph y - 4x =-2 ?
Answer:
4.000
Step-by-step explanation:
is 3399 a rational number
-7x + 3 = x + 11
what is x
Answer: x=-1
Step-by-step explanation: hope this helps!
SOMEONE HELP ASAP PLS!!
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K'. Which rule could have been used to produce K’ from K?
Answer:
K(x,y) →K'(-x, y-7) (B)
Step-by-step explanation:
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Abhasra and Perry each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Abhasra spent $152 on 13 daylilies and 10 bunches of ornamental grass. Perry spent $64 on 1 daylily and 6 bunches of omamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?
Hayley is considering two gym membership plans. The plans are detailed here.
Plan 1: $50 for a monthly pass and a $3 fee for each gym visit
Plan 2: $10 for each gym visit
What is a system of equations that represents the costs of the plans?
Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.