The chance that the average of the draws will be in the range 73 to 77 is 0.6826 when the average ticket value per box is 75, while the standard deviation is 10.
Given that,
The average ticket value per box is 75, while the standard deviation is 10. With replacement from this box, 25 random draws are conducted in total.
We have to find the chance that the average of the draws will be in the range 73 to 77.
We know that,
Take
μ=75,σ=10
X₁=73, X₂=77
We need to compute P(73≤X≤77)
The corresponding p-values are calculated by using control limit theorem
Z=X-μ/σ
Z₁=73-75/10=-2/10=-1/5
Z₂=77-75/10=2/10=1/5
We get,
P(73≤X≤77)
P(-1/5≤z≤1/5)
P(z≤1/5)-P(z≤-1/5)
0.6826
Therefore, the chance that the average of the draws will be in the range 73 to 77 is 0.6826 when the average ticket value per box is 75, while the standard deviation is 10.
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The product of 9 and the difference of a number and 7.
Answer:
I
Submit Answer
Answer:
9x-63
Step-by-step explanation:
9*(x-7)
9x-63
i need help asap!!! please help me i don’t know how to do this!!
The sides of AUVW are UV = 8x-19,
VW = 5x-5, and UW = 9x -22. If the
perimeter of AUVW is 86, list the angles in order from largest to smallest.
Please help! (Attached image) remainder Theorem
Answer:
First is option B)
Second is option B)
I hope my answer helps you.
2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down
3x2-3(y+1)+9x2+12; reflection in the y-axis, a vertical stretch by a factor of 3, and a translation 1 unit down
The reflection in the y-axis can be achieved by changing the sign of the x-terms while leaving the y-term unchanged. Afterwards, the function needs to be stretched vertically by a factor of 3. This means that all terms will be multiplied by 3. Lastly, the function requires a translation 1 unit down. This can be done by adding a -1 to the y-term. Therefore, the final equation is 3x2-3(y+1)+9x2+12 which includes the reflection in the y-axis, vertical stretch by a factor of 3, and translation 1 unit down.
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A certain skin cream is 80 percent effective in curing a common rash. A random sample of 100 people with the rash will use the cream. Which of the following is the best description of the shape of the sampling distribution of the sample proportion of those who will be cured? А Bimodal B Uniform SO с Approximately normal D Strongly skewed to the left E) Strongly skewed to the right 11 8 GA N TALK ESTU MacBook Pro esc O F3 090 F FS FO aa E7 DI TO DO F9 F10 ! 1 $ % A 12. 2 3 4 C 5 & 7 6 3 0 * 8 9 ВЫ В ㅉ ㅈ CC C 77 u i Q W E R E T Y U HHHH 0 Р L o
The best description of the shape of the sampling distribution is C. Approximately normal.
The sampling distribution of the sample proportion of those who will be cured with the skin cream is approximately normal.
A sampling distribution is the distribution of a statistic calculated from a random sample of data. In this case, the statistic is the sample proportion of those who will be cured with the skin cream.
The Central Limit Theorem states that the sampling distribution of a statistic will be approximately normal if the sample size is large enough, regardless of the shape of the underlying distribution.
Since the sample size of 100 people is large enough, the sampling distribution of the sample proportion of those who will be cured with the skin cream is approximately normal.
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The question is -
Certain skin cream is 80 percent effective in curing a common rash. A random sample of 100 people with the rash will use the cream. Which of the following is the best description of the shape of the sampling distribution of the sample proportion of those who will be cured? А. Bimodal B. Uniform C. Approximately normal D. Strongly skewed to the left E. Strongly skewed to the right.
A football match consists of two 45 minute halves and a 30 minute break in between. How many minutes does the whole match last for?
The whole match lasts for 45 minutes + 45 minutes + 30 minutes = 120 minutes. Answer: 120 min.
Given that events A and B are independent with
P(A) = 0.42 and P(B) = 0.05, determine the value
of P(AN B), rounding to the nearest thousandth, if
necessary.
Answer
P(A∩B) = 0.021
Step-by-step explanation:
For independent events P(A∩B) is the same as P(A)*P(B) so for this 0.42*0.05 = 0.021
a line that includes the point (17,2) and has a slope of 1. what is its equation in slope-intercept form?
Answer:
y = x - 15
Step-by-step explanation:
y-2 = 1(x-17)
y-2 = x - 17
y = x -17 + 2
y = x - 15
Please help will mark Brainly
The range of the function will be 0 ≤ y ≤ 960
Range of a FunctionThe range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 16x and each of A and B = {set of natural numbers}. Here we say A is the domain and B is the co-domain. Then the output of this function becomes the range. The range = {set of even natural numbers}.
Generally, the range of a function is the possible values of y in the that function and can be from -negative infinity to positive infinity.
In the given question, the function y = 16x models the situation and the capacity of the the container is 960 ounces
The range will fall between 0 ≤ y ≤ 960
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Round 3.122 to the nearest hundredth
Answer:
3.12
Step-by-step explanation:
1 number after the decimal - tenths place.
2 numbers after the decimal - hundredths place.
3 numbers after the decimal - thousandths place.
4 numbers after the decimal - ten thousandths place.
5 numbers after the decimal - hundred thousandths place.
Answer:
3.12
Step-by-step explanation:
3.122 rounds up to 3.12 because 2 is less than 5, so the number rounds down.
the updated forecast for the amazon sales accounting for trend, seasonality and adjusted for the serial correlation using the ar(1) model is: billion dollars. if the answer is 75.2432 billion dollars just type 75.243 keep at least 3 decimal places for all parts of your calculation. record your answer with at least 3 decimal places.
As per the forecast, the updated forecast for the amazon sales accounting for trend, seasonality and adjusted for the serial correlation using the AR(1) model is 75.243.
In statistics, the term correlation defines the degree to which two variables move in coordination with one another.
Here we have Quarterly Amazon Sales (billion dollars) starting in Quarter 3 of 2013 through Quarter 2 of 2021 . And assume in Quarter 2 of 2021 the Amazon Sales were 96.6 billion dollars.
Now we have to use the output provided below to report the updated forecast for the Amazon Sales for Quarter 3 of 2021.
Here the variable time period is coded in the following way:
Start with
t=1 for Quarter 3 of 2013,
t=2 for Quarter 4 of 2013 .
Then the value of t will increase by 1 for each subsequent quarter.
Here in this example we have created indicator variables for Quarters 1, 2 and 3. Quarter 4 is the base level.
Now, by using the output here for the model accounting for trend and seasonality as well as the output for the AR(1) model report the updated forecast for Amazon Sales in Quarter 3 of 2021.
Here the subset of the output posted below: Response Revenues Bivariate Fit of Residual Revenues $2 By Lag residuals Parameter Estimates
Therefore, the Updated forecast for the Amazon Sales accounting for Trend, Seasonality and Adjusted for the Serial Correlation using the AR(1) model is 75.243
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To find a value that is in an unordered array of 100 items, how many values must linear search examine on average?
a) 101
b) 100
c) 7
d) 50
e) 10
Answer: D its 50
Step-by-step explanation:
Can someone help please? Picture is already attached. If its wrong please correct it. This isn’t mine by the way, I’m posting it for someone else to double check if it’s right
The value of the other points in the number line for each case are;
a) M = -2¹/₂
N = -1
R = 4
b) M = -1
P = 1
R = 1.6
c) M = -125
P = 125
N = -50
d) N = -6
P = 15
R = 24
How to interpret Number Lines?a) We are given that P = 2¹/₂
From the point 0 of the number line to point P is 5 units and as such;
Each unit = 2¹/₂/5 = ¹/₂
Thus;
M = -2¹/₂
N = -1
R = 4
b) We are given that N = -0.4
From the point 0 of the number line to point N is 2 units and as such;
Each unit = 0.4/2 = 0.2
Thus;
M = -1
P = 1
R = 1.6
C) We are given that R = 200
From the point 0 of the number line to point R is 8 units and as such;
Each unit = 200/8 = 25
Thus;
M = -125
P = 125
N = -50
D) We are given that M = -15
From the point 0 of the number line to point N is 5 units and as such;
Each unit = 15/5 = 3
Thus;
N = -6
P = 15
R = 24
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Harry and Sally both invest $2500 for their
school tuition in 3 years. Harry chooses to
invest his money at bank A at 2.5%/a
compounded monthly while Sally chooses
to invest her money at bank B at 2.75%/a
compounded quarterly. How much money
will Harry and Sally have in their bank
account after 3 years? Who made the best
investment? Explain your answer.
The amount Harry has in his account is $2,694.50
The amount Sally has in his account is $2,714.23.
Sally made the best investment.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Harry:
P = $2500
T = 3 years
r = 2.5%
n = 12
A = 2500 [tex](1 + 0.208)^{36}[/tex]
A = 2500 x [tex]1.208^{36}[/tex]
A = $2,694.50
Sally:
P = $2500
T = 3 years
r = 2.75%
n = 4
A = 2500 [tex](1 + 0.69)^{12}[/tex]
A = 2500 x [tex]1.69^{12}[/tex]
A = $2,714.23
Thus,
Harry has $2,694.50 in his account.
Sally has $2,714.23 in his account.
Sally made the best investment.
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How do I solve this problem and if u could explain it from step by step?
2/3 (2 - 6 ) =
The value of the equation A = ( 2/3 ) ( 2 - 6 ) is A = -8/3
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( 2/3 ) ( 2 - 6 ) be equation (1)
On simplifying the equation , we get
A = ( 2/3 ) ( 2 - 6 )
A = ( 2/3 ) ( -4 )
Multiply by -4 on the numerator , we get
A = ( 2 x -4 ) / 3
A = -8 / 3
Therefore , the value of A is -8/3
Hence , the value of the equation is -8/3
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Linear function k has a zero at 3 and a y-intercept of 9 . Which graph best represents k ?
In the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.
In the given question, linear function k has a zero at 3 and a y-intercept of 9.
We have to choose which graph best represents k.
As we know that;
A linear equation represent the relationship between the two unknown variable. The equation of linear equation is of one degree.
The simplest linear equation shows the correlation between (x,y), which may then be used to make a table or a graph on the coordinate plane or to assess at a specific x or y value.
We represent linear function in the form of y=mx+c.
where m is the slope of the line, c is the y intercept of the line, x is independent variable and y is the dependent variable.
As we see the y intercept in the graph crosses the y axis.
Here y intercept is 9.
The zeros of the linear function is that where y value is zero.
As in the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.
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What is the midpoint overline AB with A (2, 4) and B (- 6, 8) Mid Point Formula ((x_{1} + x_{2})/2, (y_{1} + y_{2})/2)
If the midpoint of AB with A (2, 4) and B (- 6, 8) is at point (-2, 6)
How to find the midpointThe formula to determine the center point of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.
The formula is of the form
X= (x₂ + x₁)/2
Y = (y₂ + y₁)/2
solving for the midpoint
X= (2 - 6) / 2
X = -4 / 2
X = -2
Y = (y₂ + y₁)/2
Y = (4 + 8) / 2
Y = 12 / 2
Y = 6
The midpoint is (-2, 6)
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find the equation for the line containing the points (-4,-2) and (-3,5)
Answer:
Step-by-step explanation:
Given the points
(4, 2)
(3, 5)
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b
2=(-3)4 + b
2 = -12 + b
b = 2+12
b = 14
Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.
y=(-3)x+(14)
y=-3x+14
Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
y=-3x+14
(20x³+12x² +17x-17)÷(5x²-2x)
The division of the given polynomial is [tex]\frac{20x^3+12x^2+17x-17}{5x^2-2x}=4x+4+\frac{25x-17}{5x^2-2x}[/tex].
What is a long division of polynomials?
A long-division polynomial is an algorithm for dividing polynomials by another polynomial of the same or a lower degree. The long division of polynomials also consists of the divisor, quotient, dividend, and the remainder as in the long division method of numbers.
The given expression is (20x³ + 12x² + 17x - 17) ÷ (5x² - 2x)
[tex]=\frac{20x^3+12x^2+17x-17}{5x^2-2x}\\\\=4x+\frac{20x^2+17x-17}{5x^2-2x}\\\\=4x+4+\frac{25x-17}{5x^2-2x}\\[/tex]
Hence, the division of the given polynomial is [tex]\frac{20x^3+12x^2+17x-17}{5x^2-2x}=4x+4+\frac{25x-17}{5x^2-2x}[/tex].
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If loan Amy is 89000 monthly payment is 479.66 rate is 4.2 what is the interest principal and balance for month 1 and month2
The amount of money an account with simple interest at an annual rate of 4.2% would be $3738 after 1 month and 7476 dollar after 2 month.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that loan Amy is 89000 monthly payment is 479.66 rate is 4.2
Amount = $89000
Rate = 4.2 %
Time = 1 month
Therefore, Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = 89000 × 4.2% × 1
Simple Interest = 3738
Also,
Simple Interest = 89000 × 4.2% × 2
Simple Interest = 7476
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Repeat Exercise 8.9 for the following repeating sequence of lw addresses (given in hexadecimal) and cache configurations. The cache capacity is still 16 words. 74 A0 78 38C AC 84 88 8C 7C 34 38 13C 388 18C (a) direct mapped cache, b = 1 word(b) fully associative cache, b = 2 words(c) two-way set associative cache, b = 2 words(d) direct mapped cache, b = 4 words
The direct framed(mapped) cache in the given hexadecimal has all the miss.
Given cache parameters
b block size( given no. of words)
Cache capacity 16 words
( a) Direct mapped cache with b = 1 word
Address mapping = Total = 8 bits
Index = 4 bits
Offset = 0 bit
Tag(Label) = remaining bits = 4 bits
illustration of mapping = 74---> 01110100
where 0111 is the label and the rest is the index
Sequencing of law addressing = 0 * 74 to binary = 01110100
Then, word offset = log₂( b) = log₂( 1) = 0 bit
Line offset = log₂(16/1) = 4
Label(tag) is the remaining bit
b) completely associative cache with b = 2 words
# of lines = 16/2 W = 8
Address mapping Offset = log ₂( 2) = 1 bit
Remaining bit = 01110100
where 0 is offset and the rest is a label
In this cache design, line no. isn't needed to map the data as we directly compare CPU- generated markers with existing markers in the cache controller.
Still, apply the LRU algorithm, if the cache is full.
c) Two- way set associative cache with b = 2 words
#sets = #lines/ p- way = (16/2)/ 2 = 4
Address mapping
Set offset = log₂( 4) = 2
Word offset = log₂( 2) = 1
Tag(label) = remaining bits
ADDRESS INDEX OFFSET HIT/MISS
74 10 0 MISS
A0 00 0 MISS
78 00 0 MISS
38C 10 0 MISS
AC 10 0 MISS
84 10 0 MISS
88 00 0 MISS
8C 00 0 MISS
7C 00 0 MISS
34 00 0 MISS
38 00 0 MISS
13C 00 0 MISS
388 00 0 MISS
18C 00 0 MISS
Replacement policy(which is default) LRU
( d) Direct planned or mapped cache with b = 4 words( each instruction size = AW)
Line offset = log₂( 4) = 2 bit
Word offset = log₂( 4) = 2 bit
Tag(Label) = remaining bits
# lines = 16/ W = 4
0 * 74-----> 01110100
where,
01 is the line offset
00 is the word offset
0111 is the tag(label).
Therefore, the tag, line offset and line offset of the hexadecimal is given to be in a binary number.
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At the West Texas Balloon Festival in El Paso, a hot air balloon started its descent from an altitude of 800 feet. After 1 minute, it is at a height of 700 feet and continues at this rate till it reaches the ground.
A. Write a linear equation to find the height, h of the balloon after m minutes.
B. What is the rate of change. What does it represent in this situation?
C. What is the y-intercept and what does it represent?
D. What is the x-intercept and what does it represent?
The linear equation and the definition of the parts of the equation of the motion of the balloon are as follows;
A. The equation is; h = 800 - 100·m
B. The rate of change is 100 ft/min. The rate of change represents the height the balloon descends in one minute
C. The y-intercept is 800 (feet). The y-intercept represents the initial height of the balloon
D. The x-intercept is 8 (minutes). The x-intercept represents the time it takes the balloon to reach the ground
What is a linear equation?A linear equation is one that has a straight line graph.
The initial height of the balloon = 800 feet
Height of the balloon after 1 minute = 700 feet
A. The change in height of the balloon in one minute = 100 feet
The rate of change of the height of the balloon = -100 feet per minute (the height reduces by 100 feet after each minute)
The linear equation for the balloon, can therefore be obtained from the following details;
The initial height of the balloon = The y-intercept of the linear equation, c = 800 feet
The rate of change of the height of the balloon = The slope of the linear equation, m = -100 ft/min
The linear equation in the form, y = m·x + c, that can be used to find the height of the balloon is therefore;
h = -100·m + 800
h = 800 - 100·mB. The rate of change is the rate at which the height of the balloon changes, which is 100 feet per minute
The rate of change represents the slope of the linear equation and the rate at which the height of the balloon reduces.C. The y-intercept is the point at which the linear equation intersects the y-axis which is the point at which the input variable, m, is zero, indicating the height at which the balloon started its descent.
Therefore, the y-intercept represents the initial height of the balloonD. The x-intercept is the point at which the graph intersects the x-axis, and at which the y-value (value of the output variable) is zero, and the x-intercept can be specified by the x-value at the point of the intersection.
At the x-intercept, therefore, h is zero, which is the ground level, and m is the time it takes the balloon to reach the ground.
At the x-intercept, therefore, we het;
h = 0 = 800 - 100·m
100·m = 800
m = 800 ÷ 100 = 8
The x-intercept is m = 8 minutes
The x-intercept therefore, represents the time (8 minutes) it takes the balloon to reach the ground.Learn more about graphs of linear equations here:
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Evaluate the expression using De Moivre’s Theorem: √2+3i
Give your answer in a+bi form.
Answer:
cos(π/2)+isin(π/2)
Step-by-step explanation:
hopefully that's the answer you're looking for, haven't done problems like this in a while-
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-3x+2y=9 X-3y=4 solve this system of equations by using the scientific method, the ordered pair of solutions is written in the format (x,y)
The ordered pairs of the solution to the system of equation are (-5, -3).
How to solve system of equation?System of equation can be solved using methods like substitution method, elimination method and graphical method.
Let's solve the system of equation by substitution method.
Therefore,
-3x + 2y = 9
x - 3y = 4
Hence,
x = 3y + 4
Substitute the value of x in equation(i)
-3x + 2y = 9
-3(3y + 4) + 2y = 9
-9y - 12 + 2y = 9
-7y = 9 + 12
-7y = 21
y = 21 / -7
y = -3
Let's find x using equation(ii)
x = 4 + 3y
x = 4 + 3(-3)
x = 4 - 9
x = -5
Hence, x = -5 and y = -3
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PLSS can you help me and answers
Graph: y < -1
Is (-2,5) a solution? yes or no
Is ( 6,2) a solution? yes or no
Answer: Both points are not a solution.
Step-by-step explanation:
This says that the graph will be every y-value less than -1. Both 5 (in the point (-2, 5)) and 2 (in the point (6, 2)) are greater than -1, meaning they are both not a solution.
See attached for a graph with the coordinate points graphed as well. Since these points are not in the shaded region, they are not solutions.
Triangle Congruence: Question 3
In the proof, what is the reason for (5) ?
Given: V W║Z Y
W X=Y X
Prove: ΔVWX ΔXYZ
Select one:
SSA
H
SAS
ASA
SSS
In the proof, The reason for (5) ΔVWX ≅ ΔXYZ is ASA
Two triangles are congruent when their three angles and three sides are equal to each other. The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other.
There are 4 property we use to congruent two triangles ( ASA , RHS , SSS and SAS)
According to the question,
Given = V W║Z Y
W X=Y X
We have to prove : ΔVWX ≅ ΔXYZ
Proof =>
It is given that V W║Z Y ,
Using parallel line property ,
(1) ∠W = ∠Y (interior alternate angles )
(2) ∠V = ∠Z ( Interior angle property)
(3) W X=Y X (given)
Therefore , By using ASA property
ΔVWX ≅ ΔXYZ
Hence , In the proof, the reason for (5) is ASA
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Solve the system of linear equations
Answer:
Below
Step-by-step explanation:
I'll do the first one....you can then do the second one
-4x-2y = -12
4x+8y = -24 add these two equations together ( this will eliminate 'x')
6y = -36
y = - 6 use this value in either equation to compute x = 6
HINT: On the next one....multiply either equation by -1 then add together
Solve:
19) m∠2 = 12x-4
For the given isosceles triangle when we solve m < 2 = 12x - 4 we get the value of x = 4.5 degrees.
It is known that two sides are equal so it is a isosceles triangle so the two angles are equal, that is
m<2 = 50
50 = 12x - 4
50 + 4 = 12x
54 = 12x
Divide by 12 on both sides
54 / 12 = 12 x / 12
x = 54 / 12
= 27 / 6
= 9 / 2
= 4.5 degrees
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