An Integrated Circuit (IC) chip is declared as "good" if it passes the quality acceptance test. Otherwise, the chip is declared as "bad". A mechanical machine produces two IC chips in pairs. Tests show that the first chip is good with probability 3/5. When the first chip is good, the probability that the second chip is good is 4/5. When the first chip is bad, the probability that the second chip is good is 2/5. a) What is the probability that both chips are good? b) What is the probability that both chips are bad? c) What is the probability that exactly one chip is good?
Answer:
a) The probability of both chips being good = 0.48
b) The probability of both chips being bad = 0.24
c) The probability of one chip being good = 0.60
Step-by-step explanation:
Probability of first chip being good = 3/5 = 0.60
Probability of second chip being good = 4/5 = 0.80
Probability of first chip being bad = 0.40 or 2/5 (1 - 3/5)
Probability of second chip being good if the first is bad = 2/5 = 0.4
Therefore, the probability of it being bad = 0.60 (1 - 0.40)
For both chips to be good, the probability = 0.60 * 0.80 = 0.48
For both chips to be bad, the probability = 0.60 * 0.40 = 0.24
What is the solution to this equation?
X/4= -12
63=7p can someone solve this?? i mean i know one step equations but im still confused on this one
Answer:
p= 9
Step-by-step explanation:
you can rewrite the equation as 7p = 63 if that makes more sense for you
then divide both sides by 7
you get 9
xplain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that the standard deviation has over the interquartile range? Choose the correct answer below. A. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it is resistant to extreme values. B. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it increases as the dispersion of the data increases. C. The interquartile range is preferred when the data are not skewed or no have outliers. An advantage of the standard deviation is that it uses all the observations in its computation. D. The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation. E. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it increases as the dispersion of the data increases. F. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it is resistant to extreme values.
Answer: The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
Step-by-step explanation:
The interquartile range are resistant to outliers and can be used for data having glaring outliers.
Outliers are values that are too far away from the central value.
Interquartile range is a better option than standard deviation when there are a few extreme values and the distribution is skwed.
HELP!! what is 10x+18<−2
Answer:
The answer is x<-2 :)
Step-by-step explanation:
Help please
1 1/2% of what number is 10.05
Answer:
10/25%
Step-by-step explanation:
Answer: 15.075%
Please mark me as Brainliest
FIRST RIGHT GETS BRAINLIEST
Two rhombuses with the same side lengths are always congruent ?
Answer:
False
Step-by-step explanation:
A rhombus is a quadrilateral with
1. all side length equal
2. opposite side parallel
3. opposite angles are congruent.
______________________________________
If there are two rhombus with same side length ,
conditions so that they must be always congruent.
1. Side length must be equal
2. corresponding angles to equal sides must also be equal.
It is possible that the sides of two rhombus will be same
but their angles can differ and hence the two rhombus may or may not be congruent.
Thus,
Two rhombuses with the same side lengths are always congruent
given statement is false
Camille takes a rock-climbing
class. On her first outing,
she rappels down the side
of a boulder in three
equal descents. What
integer represent
Camille's change in
altitude in feet each
time she descends?
Elevation 165
Answer:
Step-by-step explanation:
165/3=55 feet
An integer that represents Camille's change in altitude in feet each time she descends = 55
What is rate of change?"It is the ratio of the amount of change over that interval to the corresponding change in the values."
For given example,
elevation = 165
she rappels down the side of a boulder in three equal descents.
n = 3
So, change in altitude in feet each time she descends would be,
165/3 = 55
Therefore, the integer that represents Camille's change in altitude in feet each time she descends = 55
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A recipe for homemade modeling clay includes 1/3 cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?
Answer:
Step-by-step explanation:
If for a cup of water, 1/3 cup of salt is needed, to get the number of gallons of water needed for 6 cups of salt, we will use the following equation;
1/3 cup of salts = 1 cup of water
6 cups of salt = x cups of water
cross multiply
1/3 * x= 6*1
x/3 = 6
multiply both sides by 3
x/3 * 3 = 6*3
x = 18
Hence 6 cups of salt will need 18 gallons of water
A right rectangular prism is packed with cubes of side length Fraction 1 over 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
On January 1, 2020 the high temperature was 63 degrees fahrenheit in Oakley, California. The low in the evening was -30 degrees. What is the difference between the two temperatures? (only type the number)
Answer:
93°F
Step-by-step explanation:
Difference between temperatures
= 63 -(- 30)
= 63 + 30
= 93°F
- 4x3 + 14x2 + 4x – 14
Answer:
-40
Step-by-step explanation:
........what’s the value of x?
Answer:
110
Step-by-step explanation:
A truck rental company charges $25 per day plus $.32 per mile. Find the cost of renting a truck for a one-day trip of 500 miles.
find the slope, vertical and horizontal intercept of (2,9) and (4,3)
Answer:
Slope: -3
Vertical Intercept (y-intercept): 15
Horizontal Intercept (x-intercept): 5
Step-by-step explanation:
[tex]\frac{3-9}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3
then we put the slope into point slope form.
y-9=-3(x-2)
in order to find the x-intercept, we need to make the y value 0.
-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.
-15=-3x divide both sides by -3 to get 5, the x-intercept.
in order to find the y-intercept, we need to make the x value 0.
y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.
y=15
WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the monthly demand for widgets. WidgCo's marketing department determines that p and x are related by the following demand equation: p(x) = 211 − 5x. The cost of producing x widgets is given by C(x) = 1,401 + 16x. Construct the revenue function, R(x). Find the production level that will result in the maximum revenue. Find the maximum monthly revenue. Enter your answer to part c in the box below. Round your answer to the nearest cent.
Answer:
The answer to this question can be defined as follows:
i) [tex]\bold{p(x)= -5x^2+ 217x- 1,401} \\[/tex]
ii) x=22 units
iii) Maximum profit: 953.45
Step-by-step explanation:
Given value:
p(x) = 211 − 5x \\
C(x) = 1,401 + 16x
The formula for calculating the profit function value:
[tex]\to \bold{P(x)= xp(x) - C(x)}[/tex]
[tex]= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\[/tex]
The formula for calculating the value for maximum profit:
[tex]p'(x) = - 10x + 217 =0[/tex]
[tex]217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7[/tex]
So, the production level is 22 units
Maximum profit:
[tex]\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\[/tex]
[tex]=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45[/tex]
The maximum monthly revenue of WidgCo is; $489
We are given;price function; p(x) = 211 - 5x
Cost function; C(x) = 1401 + 16x
We know that revenue would be gotten by the formula;Revenue = number of units sold × price per unit
Thus;
R(x) = x(211 - 5x)
Expanding this gives;
R(x) = 211x - 5x²
Maximum revenue will be the revenue for the number of widgets when R'(x) = 0. Thus;R'(x) = 211 - 10x
At R'(x) = 0, we have;
211 - 10x = 0
x = 211/10
x = 21.1
x ≈ 21 widgets
Thus;Maximum Revenue is;
R(20) = 195(21) - 1401 - 5(21)²
R(20) = $489
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Most precise to least precise yard, inch, foot, mile
Answer:
1. inch
2. foot
3. yard
4. mile
Answer:
inch to foot to yard to mile
Step-by-step explanation:
89,659 to the nearest thosannd
Answer:
100,000
Step-by-step explanation:
Rachel mows 5 lawns in 8 hours . at this, how many lawns can she mow in 40 hours? PLz put explanation too... or else »-(¯`·.·´¯)->
Answer:
25 lawns
Step-by-step explanation:
The rate at which she mows lawns is 5 lawns for every eight hours spent mowing
To fiure out how many lawns she is able to mow at this rate you need to divide the common variables by each other, in this case it is hours
Divide 40 hours by 5 hours
40/8 = 5
Then multiply the amount of "sets" of eight hours by the amount of lawns she mows hourly
5 x 5 = 25
2) The foundations of any Euclidean geometry, at their most basic, exist on the principal concepts of which of
the following?
a) Undefined terms
c) Postulates
b) Theorems
d) Assumptions
Answer:
c im pretty sure but not 100%
Step-by-step explanation:
edge
Write 5.39 as a mixed number in simplest form?
Convert 13/2 to a decimal using long division
Answer:
i need this awser hurry hp an do it
Step-by-step explanation:
hellppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Jonas wants to serve serve 48 people one cup of tea each. How many gallons of tea must he prepare?
Answer:
3 gallons
Step-by-step explanation:
1 gallon=16 cups
48÷16=3
3 gallons makes 48 cups
5
Type the correct answer in each box.
Functions hand k are inverse functions, and both are defined for all real numbers.
Using this relationship, what is the value of each function composition?
(h o k)(3)=
(K o h)(-46)=
Answer:
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Step-by-step explanation:
Composition of a function and its inverse function returns the input
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Answer:
[tex](h\circ k)(3)=3[/tex]
[tex](k\circ h)(-4b)=-4b[/tex]
Step-by-step explanation:
Remember that for two functions to be inverses, the following must be true:
[tex]h(k(x))=k(h(x))=x[/tex]
Since we know they are indeed inverses, they are true.
So, whatever input we put in, we'll just get it back out again.
So, for our first problem:
[tex](h\circ k)(3)[/tex]
We can rewrite this as:
[tex]=h(k(3))[/tex]
We can imagine our x being 3 here.
Therefore, using the above identity, we can conclude that:
[tex]h(k(3))=3[/tex]
For our second example, the same thing:
[tex](k\circ h)(-4b)[/tex]
This is the same as saying:
[tex]k(h(-4b))[/tex]
Again, using the above property, we can imagine our x is -4b. So, this will be equivalent to:
[tex]k(h(-4b))=-4b[/tex]
And we're done!
Round the number 502.6439 to the underlined place. The underlined number is 3
Hello, please help me with this question. Thank you.
Answer:
I’m thinking it’s C, 119 degrees
Step-by-step explanation:
180 - 61 =119
PLZZZZZZ HELP ME WITH THIS I WILL GIVE 100 POINTS IF THE ANSWER IS WELL EXPLAINED PLZZZZ HELP!!!!!
Show your WORK PLZ
Anna is writing a computer game program. She needs to “move” a square 2 units to the left and 3 down by applying a translation rule to the coordinates of the vertices. The square is aligned with the coordinate axes with one corner of the pre-image square at the origin and the diagonally opposite corner at (4,4). After the transformation what will be the coordinates of the image of each of the four vertices.
A. Write the transformation rule for this particular translation. Use the format given in class.
B. Show the math work that is used to calculate the new coordinates mathematically. State the final coordinate pairs. There should be four pairs of coordinates.
C. Graph, sketch, or draw a picture of the situation. Sketch (on a grid) the pre-image and image of the square. Be sure to include the line segments that form the sides of the square. You MUST label all eight coordinate pairs on your sketch or graph. (You may use Desmos or graph paper for this part. You may even include a link to your Desmos graph.)
The original square has one verticles at the origin, which is at (0,0), and the opposite corner at (4,4), we draw the square show below:
The transformation is moving each verticles 2 unit left and 3 units down.
In term of x-axis translation (horizontal transformation), we move 2 units left or, -2.In term of y-axis translation ( vertical transformation), we move 3 units down, or -3.The tranformation rulw can be written as:
[tex]x = x - 2 \\ y = - 3[/tex]
From the graph shown above, we write the 4 cordinate pairs:
(0,0)
(4,0)
(4,4)
(0,4)
Aplying the transformation rule, we subtract 2 from x cordinate and subtract 3 from each y cordinate.
The new transformed cordinate are:
(0,0) >>>>>> (0-2, 0-3) >>>>>>> (-2, -3)
(4,0) >>>>>> (4-2, 0-3) >>>>>>> (2, -3)
(4,4) >>>>>> (4-2, 4-3) >>>>>>> (2, 1)
(0,4) >>>>>> (0-2, 4-3) >>>>>>> (-2, 1)
We name the first four cordinates A,B,C and D, respectively.
The graph ia shown below:
how to graph (1.4) on a line; m is undefined
Answer:
hopefully this helpeddd
Step-by-step explanation:
A SUV drove 200 miles on 9 gallons of gas. A truck drove 280 miles on 10 gallons of gas. Find both unit rates for both vehicles. Justify your answer in two ways.
Answer:
Suv= About 22 miles
Truck= 28 miles
Step-by-step explanation:
To find the unit rate of both vehicles, divide the number by how many gallons of gas to see how many miles both vehicles drive on 1 gallon.
