The probability defective item came from store b is 0.71.
Define the term conditional probability?The possibility of a possible outcome happening contingent on the frequency of a prior event or outcome is known as conditional probability. The probability of such prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.First, we determine how likely it is that the faulty item came from store A:
P(A) = 40% x 3%
P(A) = 0.4 x 0.03
P(A) = 0.012
Next, we determine how likely it is that the faulty item came from store B:
P(B) = 60% x 5%
P(B) = 0.6 x 0.05
P(B) = 0.03
The merchandise could originate from either retailer.
Therefore, the likelihood of receiving a defective product is:
P(A) + P(B) = 0.012 + 0.03
P(A) + P(B) = 0.042
The probability defective item came from store b is;
P(defective from store b) = P(B)/ (P(A) + P(B))
P(defective from store b) = 0.03/0.042
P(defective from store b) = 0.71
P(defective from store b) = 5/7
Thus, probability defective item came from store b is 0.71.
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What are the number of real zeros and complex zeros?
Answer:
D
Step-by-step explanation:
the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
thus for the given cubic function of degree 3 there will be 3 zeros
the graph indicates a zero at x = 4 which is real
thus there will be 2 complex zeros.
that is the cubic function has 1 real zero and 2 complex zeros
The percentage of children ages 1 to 14 living in poverty in 1985 compared to 1991 for 12 states was gathered. (10 points) State Percent of Children in Poverty 1985 Percent of Children in Poverty 1991 1 11. 9 13. 9 2 15. 3 17. 1 3 16. 8 17. 4 4 19 18. 9 5 21. 1 21. 7 6 21. 3 22. 1 7 21. 4 22. 9 8 21. 5 17 9 22. 1 20. 9 10 24. 6 24. 3 11 28. 7 24. 9 12 30. 8 24. 6 Part A: Determine and interpret the LSRL. (3 points) Part B: Predict the percentage of children living in poverty in 1991 for State 13 if the percentage in 1985 was 19. 5. Show your work. (3 points) Part C: Calculate and interpret the residual for State 13 if the observed percent of poverty in 1991 was 22. 7. Show your work. (4 points)
The residual for State 13 is -14.6. A negative residual means that the observed value is less than the predicted value, indicating that State 13 had a lower percentage of children in poverty in 1991 than what would be expected based on its percentage in 1985.
Part A: To determine the LSRL (least squares regression line), we need to find the equation of the line that best fits the scatter plot of the data. We can use a statistical software or calculator to do this, but here's how to do it manually using a TI-84 calculator:
Enter the data into two lists (L1 for 1985 and L2 for 1991).
Go to "STAT" > "CALC" > "LinReg(ax+b)".
Make sure "L1" and "L2" are selected as the Xlist and Ylist, respectively.
Press "ENTER" twice to get the equation of the line.
The equation of the LSRL is:
y = 0.8551x + 9.7436
where y represents the percent of children in poverty in 1991 and x represents the percent of children in poverty in 1985.
To interpret the LSRL, we note that the slope is positive (0.8551), which means that there is a positive association between the percentage of children in poverty in 1985 and 1991. In other words, states with higher poverty rates in 1985 tended to have higher poverty rates in 1991. The y-intercept is 9.7436, which represents the predicted percent of children in poverty in 1991 when the percent in 1985 is 0. However, since it doesn't make sense for the percent in 1985 to be 0, the intercept isn't meaningful in this context.
Part B:
To predict the percentage of children living in poverty in 1991 for State 13 if the percentage in 1985 was 19.5%, we can use the LSRL equation:
y = 0.8551x + 9.7436
where x is the percent of children in poverty in 1985 and y is the predicted percent in 1991.
Substituting x = 19.5, we get:
y = 0.8551(19.5) + 9.7436 ≈ 27.4
Therefore, the predicted percentage of children living in poverty in 1991 for State 13 is approximately 27.4%.
Part C:
To calculate the residual for State 13 if the observed percent of poverty in 1991 was 22.7%, we first use the LSRL equation to find the predicted value for State 13:
y = 0.8551x + 9.7436
Substituting x = 30.8 (the percent of children in poverty in State 13 in 1985), we get:
y = 0.8551(30.8) + 9.7436 ≈ 37.3
The predicted percent of children in poverty in 1991 for State 13 is approximately 37.3%.
Next, we calculate the residual as the difference between the observed value (22.7%) and the predicted value (37.3%):
residual = observed value - predicted value
= 22.7 - 37.3
= -14.6
Therefore, the residual for State 13 is -14.6. A negative residual means that the observed value is less than the predicted value, indicating that State 13 had a lower percentage of children in poverty in 1991 than what would be expected based on its percentage in 1985.
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WHAT NINE plus 10 i am to not smart
Answer:
19
10+9=19
Step-by-step explanation:
Hi
The answer is = 9+10= 19
The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?
Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: \(y=Ab^x\), where A = initial value , b = growth factor (if b>1)
Here, The expression \(6.7\cdot(1.45)^t\) models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?
A bag contains 2 white balls 4 green balls. 2 balls are drawn from the bag without replacement. use a tree diagram to find the probability that the balls are white colors
Answer: 1 in 3rd chance
Step-by-step explanation:
The are 6 balls and 4 are green and the other 2 are white so if you but it in fraction form it would be 2 over 6 with simply to 1 over 3
Enter the number belongs in the green box. 78° 12 56° Round to the nearest hundredth.
10 is the number that belongs to the green box in the triangle.
Let us find the third interior angle in the triangle
By angle sum property the sum of three angles is 180 degrees
78+56+x=180
134 + x =180
Subtract 134 from both sides
x=180-134
x=46
So sin 56 /12 = sin 46/x
0.829/12=0.7193/x
0.069=0.7193/x
x=0.7193/0.069
The number in green box x=10.42
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im really bad at math I need help
option 3
center (-1,-5)
radious √41
hope this helped!
Select the correct answer
A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. If the area
of the framed painting is 625 square centimeters, what is the side length of the bare canvas?
A
17 centimeters
B.
19 centimeters
C
21 centimeters
D
25 centimeters
Answer:
21cm
Step-by-step explanation:
Area if the canvas = L²
If the length is increased by 4
A = L²
625 = L²
L = √625
L = 25cm
If the 4cm is added to the length of the canvas, the original length will be 25-4 = 21cm. hence the length of the bare canvas is 21cm
Answer:
Other guy is correct, please give him brainliest.
A person gives away 1 penny on day zero, 2 pennies on the 1st day, 4 pennies on the 2nd day, 8 pennies on the 3rd day, 16 pennies on the 4th day, and so on.
1) Is this a linear or an exponential function?
2) Write a function f(x) for the number of pennies given on day x.
A function can represent a linear relationship or a non-linear relationship
The function is an exponential functionThe function for the number of pennies given as: f(x) = 2^xHow to determine the function typeFrom the question, we have that:
The pennies given each day is 2 multiplied by the penny given on the previous day.
Since the function involves products, then it is an exponential function
The function equationThe initial value of the function is:
a = 1
The rate of the function is given as:
r = 2
An exponential function is represented as:
\(f(x) = ar^x\)
So, we have:
\(f(x) = 1 * 2^x\)
\(f(x) = 2^x\)
Hence, the function for the number of pennies given as: f(x) = 2^x
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plase answer the second one
thanks
Answer:
0,01
Step-by-step explanation:
0,0001 = 1 / 10000
√0,0001
= √( 1 / 10000 )
= √1 / √10000
= 1 / 100
= 0,01
Kid Know what to put here
Answer:
ok i dont knkw what is that lol
How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
Find the relationship between p and q if px*2+2x-q is a perfect square. please help me ASAP
\(\displaystyle\\Answer:\ p=-\frac{1}{q}\)
Step-by-step explanation:
A perfect square has equal sides
Hence, px²+2x-q has equal roots (D(discriminant)=0)
\(\displaystyle\\D=2^4-4*p*(-q)\\D=2*2+4pq\\D=4+4pq\\D=0\\\Rightarrow\ 0=4+4pq\\Divide\ both\ parts\ of\ the \ equation\ by\ 4:\\0=1+pq\\0-1=1+pq-1\\-1=pq\\Divide\ both\ parts\ of\ the \ equation\ by\ q(q\neq 0):\\-\frac{1}{q}=p\\ Thus,\\p=-\frac{1}{q}\)
express -64/112 as a rational number with denominator 7.
Answer:
\(\boxed{\sf \ \ \ -\dfrac{4}{7} \ \ \ }\)
Step-by-step explanation:
hello
\(64=16*4\\112=16*7\\so \\\dfrac{-64}{112}=-\dfrac{16*4}{16*7}=-\dfrac{4}{7}\)
hope this helps
Can someone help me solve X=4y-1
y=1/4(x+1) is the solution of the equation x=4y+1.
The given equation is x=4y-1.
x equal to four times of y minus one.
In the equation x and y are the variables and minus is the operator.
We need to solve for y in the equation.
Add 1 on both sides of the equation.
x+1=4y-1+1
x+1=4y
Divide both sides of the equation with 4.
y=1/4(x+1)
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hwlp me i need help PLZZZZZZZZZZZZZZZZ
My bad
the answer is 16
I'm going to refrain from answering area problems from now on. Deepest Apologies
Perfect square of y^2 + 4y + _
Answer:
y^2+4y+4
Step-by-step explanation:
Hope this helps! Plz give brainliest!
Answer: (y+2)^2
Step-by-step explanation: (y+2)(y+2) would equal y^2 + 4y +4. Use the FOIL method.
Ms. Baynes has $70 and spends $6 on each of y books.
What is the length of the radius of a circle with a center at 2+3i and a point on the circle at 7+2i
Answer:
\(\sqrt{26}\)
what’s the axis of symmetry & vertex *PICTURE*
Answer:
2.5
Step-by-step explanation:
:)
what is the Coefficient in
3x + 7
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is always the number next to the unknown or in this case, x
need help on this question please!!!!
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
our baseline here is
5 + 9 = 14 ft.
the height is 12 ft.
so, the area is
14×12 / 2 = 14×6 = 84 ft²
Find the area for 5cm 6cm 7cm
ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
Y = (x+7)(x+3)
vertex
minimum
y-intercepts
x-intercepts
Answer:
Vertex: (-5,-4) Y-int: (0,21) X-int. = (-7,0), (-3,0)
Step-by-step explanation:
Juan bought 7.8 pounds of grapes for 2.85 per pound how much did Juan spend on grapes
Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.
What is a unitary method?A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.
Given that:
Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.
The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds, i.e.
= (7.8×2.85)
= 22.23.
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Can you please help me
Answer:
it would be the first one because it has a value of 1,966. and the second one has a value of 983 so the first one would be the one with the greater value
help help I will give coins if you answer my all questions correctly
Step-by-step explanation:
supplements :
a) 180-110 = 70°
b) 180-135 = 45°
c) 180-150= 30°
d) 180-70=110°
e) 180-45= 135°
a) 4x +5x = 180° (as they are linear pair)
9x=180°
x=180/9
x=20°
4x = 4×20 = 80°
5x = 5×20= 100°
b) 2x-10° + 3x+20° = 180°(as they are linear pair)
5x+10° = 180°
5x= 180°- 10°
5x = 170°
x= 170/5
x= 34°
2x-10° = 2×34-10= 68-10 = 58°
3x+20° = 3×34+20° = 102 + 20° = 112°
c) complementary angles = 90°
let the common ratio be x.
first number is 2x
second number is 3x
2x+3x= 90°
5x= 90°
x=90°/5
x= 18°
first number = 2x = 2×18 = 36°
second number = 3x = 3×18° = 54°
d)
let an angle = x°
Then, complementary Angle of x° = 90° - x°
Difference between the angles = 10°
So, equation = x° - (90° - x°) =
10°x° - 90° + x° =
10°2x° - 90° = 10°2x°
= 10° + 90°2x° = 100°x°
= 100°÷2x° = 50°
An Angle = 50°
Second Angle = 90° - x° = 90° - 50° = 40°
A microwave raises the temperature of water by about 80°F in 5 minutes. Which graph has the slope that represents this rate of increase?
Since the microwave raises the temperature of water by about 80°F in 5 minutes, the graph that has the slope that represents this rate of increase is option A.
What is the temperature about?
Temperature is seen as a given unit used to stand for hotness as well as the coolness of a given object or thing, it is said to be mostly in Fahrenheit as well as Celsius.
Based on temperature, heat energy is one that tends to shift from a hotter part of a body to a colder part of the same body.
Note that:
Temperature = 80
Minutes = 5
Y = m
5m = 80
m = 80/5
m = 16
So y = 16x
Therefore, the graph that can give you the value above is graph A.
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