Answer:
A and B
Step-by-step explanation:
It is transformed fro a to a' by shift left of 7 and down 3 T(-7,-3)
assume that we have a single-cycle implementation of a processor, which has a clock cycle of 14 ns. suppose that we split this single-cycle processor to a 5-stage pipelined processor where the times for each of t
The approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions is 4.03
The term ratio in math defines as an ordered pair of numbers a and b, written a / b where b does not equal 0.
Here we have given that
And we need to determine the approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions.
While we looking into the given question we have identified the following values,
=> Number of pipeline segments = stages in pipeline,
=> n = 5
Here we know that,
=> Clock cycle time per operation = clock cycle per stage = 14 ns
And the number of instructions = 100
Here the formula to calculate the startup is written as,
=> T[without pipeline] = no. of instructions × stages in pipeline × clock cycle per stage
=> 100 × 5 × 14
=> T[with pipeline] = (time for pipelined execution without stalls) + (overhead due to stalls)
=> (5 + 99) × 20 + 20 × 20 = 124 × 20
Therefore, the startup is
=> [500 x 14] / [124 x 14]
=> 4.03
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Two angles form a linear pair, the sum of one angle plus 27 is equal to two times the sum of the other angle
The pair of Linear angles are 51° and 129°.
What are Linear Angles:When two lines intersect at a point then they will form two linear angles. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.
In other words, if the sum of two adjacent angles is 180° then the pair of angles are said to be Linear Angles.
Here we have
Two angles form linear angles
Let x and y be the two angles
=> x + y = 180 ------ (1) [ since both are linear angles ]
Given that the sum of one angle plus 27 is equal to two times the sum of the other angle
=> x + 27 = 2y
=> x = (2y - 27) ---- (2)
Substitute (2) in (1)
=> 2y - 27 + y = 180
=> 3y = 153
=> y = 153/3
=> y = 51
Now substitute y = 51 in (1)
=> x + 51 = 180
=> x = 180 - 51
=> x = 129
The pair of Linear angles are 51° and 129°.
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PLEASE HELP MEE!!
What is the inverse of the function shown?
The inverse of the function shown is (x + 5).
What is the inverse of the function?
A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "[tex]f^{-1}[/tex]" or "[tex]F^{-1}[/tex]." Here, (-1) should not be confused with an exponent or a reciprocal.
Coordinates of the given line are (8,3) and (-2,-7)
The function of the given graph for two points form is
[tex]y-y_{1} = \frac{y_{2}-y_{1} }{x_{2} -x_{1}} (x-x_{1} )[/tex]
or, [tex]y-3 = \frac{-7-3 }{-2-8} (x-8 )[/tex]
or, y - 3 = x - 8
or, y = x -8 + 3 = x - 5
y = x - 5
To find the inverse, replace x with y and y with x then, we get
x = y - 5
y = x + 5
[tex]f^{-1}[/tex] = x + 5
Hence, the inverse of the function shown is (x + 5).
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given a binary-class classification problem in which the class labels are binary, the dimension of feature is d, and each attribute can take k different values. please provide the numbers of parameters to be estimated with and without the simplifying assumption. please explain your answer. briefly justify why the simplifying assumption is necessary.
For binary class classification, assumptions are necessary in a way:
Given that
From Boyer Naive classifier,
We evaluate (ai | vj) is given below
(ai | vj) = n(e) + m(p) / n + m
Here,
m = equivalent sample size
n(e) = number of training examples
for which v = vj and a = ai
n(i) = number of training example for which v = vj
P = a prior estimate for P(ai | vj)
Here, we calculate that
P(SUV | yes), P(Red | yes), P(Domestic | yes)
P(SUV | no), P(Red | no), P(Domestic | no)
We evaluating this value like
yes:
RED : SUV: DOMESTIC:
n = 5 n = 5 n = 5
n(c) = 3 n(c) = 1 n(c) = 2
P = 0.5 P = 0.5 P = 0.5
m = 3 m = 3 m = 3
Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.
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Given figure below as well as the fact that a is parallel to b what is the value of x?
Answer:
17
Step-by-step explanation:
The value of x from the angles between given parallel line is 17.
What are consecutive angles in between two parallel lines?Consecutive angles lie along the transversal, both angles will always be on one side of the transversal, and they'll either both be inside the parallel lines or outside the parallel lines (interior or exterior angles, respectively). Consecutive angles are always supplementary if the transversal crosses parallel lines.
From the given figure, we have two angles 2x+5 and 8x+5.
As we know, sum of consecutive angles is 180°
Now, 2x+5+8x+5=180
10x+10=180
10x=170
x=17
So, 2x+5=39° and 8x+5=141°
Therefore, the value of x from the angles between given parallel line is 17.
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Write the sentence as an equation.
126 is equal to 26 fewer than the product of 41 and w
NEED ANSWER ASAP
What is the equation of the circle shown on the graph
The equation of the circle shown on the graph is (x + 2)² + (y - 1)² = 4.
What is an equation of a circle?
A circle can be characterized by its centre's location and its radius's length.
Let the center of the considered circle be at the (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The center of the circle is at (-2, 1) and the radius of the circle is 2 units. Then the equation of the circle will be
(x - (-2))² + (y - 1)² = 2²
(x + 2)² + (y - 1)² = 2²
(x + 2)² + (y - 1)² = 4
Hence, the equation of the circle shown on the graph is (x + 2)² + (y - 1)² = 4.
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what is the square root of -75 in simplified form
Answer:
5[tex]\sqrt{3}[/tex]i
Step-by-step explanation:
[tex]\sqrt{-5(5)(3)}[/tex] You can pull out a 5 and you are left with [tex]\sqrt{-1}[/tex] and [tex]\sqrt{3}[/tex].
The [tex]\sqrt{-1}[/tex] = 1
5[tex]\sqrt{3}[/tex] i
Answer: [tex]5\sqrt{3} i[/tex]
Step-by-step explanation:
The square root of -75 is not a real number, because it is not possible to find a real number that when squared results in a negative number.
In mathematics, the square root of a number is defined as the number that, when multiplied by itself, equals the original number. For example, the square root of 4 is 2, because 2 x 2 = 4. Similarly, the square root of 9 is 3, because 3 x 3 = 9.
However, it is not possible to find a real number that, when squared, results in a negative number. This is because any real number multiplied by itself is always positive, regardless of whether the original number was positive or negative. For example, the square of -2 is 4, because (-2) × (-2) = 4, which is a positive number.
Double however, complex numbers are used to represent numbers that have a non-zero imaginary component, such as the square root of -1. Complex numbers are written in the form a + bi, where a and b are real numbers and i represents the imaginary unit.
Therefore, the square root of -75 can be written in simplified form as [tex]5\sqrt{3} i[/tex], where [tex]i[/tex] is the imaginary unit. This represents a complex number with a real component of 0 and an imaginary component of [tex]5\sqrt{3}[/tex].
A study is conducted to estimate the average difference in the cost of analyzing data using two different statistical packages. To do so, 15 data sets are used. Each is analyzed by each package, and the cost of the analysis is recorded. These observations result: (a) Find the set of difference scores subtracting in the order package I minus package II. (b) Find d and Sd(c) Find a 90% confidence interval on the mean difference in the cost of running a data analysis using the two packages.
The null hypothesis cannot be rejected.
Given that,
A study is done to determine the average cost difference between utilizing two different statistical tools to analyze data. 15 data sets are used to do this. Each program performs an analysis on each, and the cost of the analysis is noted.
To test if cost is same, we test mean difference of scores =0
H0: d=0
H0: d != 0
z0 = 0-(-05467) / 0.039976
= 1.367
z score for alpha = .05 is 1.96
Since, z0 < z score, we cannot reject the null hypotheses
Therefore, the null hypothesis cannot be rejected.
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I need help with my math homework
Answer:
Read explanation :)
Step-by-step explanation:
Activity 1: When it says direction it refers to the tiles going horizontal and vertical for example the 4 and 9 going vetical to make vertical you must first add 4 + 9 which equals 13 then add a 2 under the 9 so it equals 15. And for 8 and 4 horizontal you must add 8 + 4 which equals 12 so add a three in between the 8 and 4 and for the 7 there is a two on the right of it so add 7 + 2 to equal 9 then add 6 to equal 15 then add a 1 in between the 8 and the 6 to equal 15 and add the 5 in the middle.
Activity 2: On the addition table on the left side of the table the number is the number you add to the number on top for example: the 2 at the top of the table plus the 6 on the same vertical line going down so it would be 2 + 6 which equals 8 as it tells you the answer and for 7 on the left side of the table and 3 at the top of the table with the vertical line would be 7 + 3 which equals 10.
Your Welcome Hope This Helps You.
Use the information to answer the question.
A spinner contains 10 equal-sized sections. The sections are colored red, green, black, or orange. The spinner is spun 50 times. The spinner
landed on:
• red 19 times
green 11 times
• black 4 times
orange 16 times
Based on these results, how many sections are most likely each color on the spinner? Enter the answers in the boxes.
Color Number of Spinner Sections
Red
Green
Black
Orange
The number of sections that are most likely on each color on the spinner are
Red = 4Green = 2Black = 1Orange = 3How many sections are most likely each color on the spinner?From the question, we have the following parameters that can be used in our computation:
Number of times the spinner is spun = 50 times
The outcomes are
Red = 19 timesGreen = 11 timesBlack = 4 timesOrange = 16 timesNumber of sections = 10
The section of each color is then calculated as
Color = Color outcomes/Number of times * Number of sections
Using the above as a guide, we have the following:
Red = 19/50 * 10 = 3.8
Green = 11/50 * 10 = 2.2
Black = 4/50 * 10 = 0.8
Orange = 16/50 * 10 = 3.2
Approximate
Red = 4
Green = 2
Black = 1
Orange = 3
The above represents the possible sections
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7. Julian tracks his progress on his reading
quizzes over a period of four weeks. Which
list shows his scores from greatest to least?
WEEK 4
WEEK 1 WEEK 2 WEEK 3
9
17
20
10
A. Week 3, 4, 1, 2
B. Week 2, 1, 3, 4
C. Week 4, 3, 1, 2
D. Week 2, 1, 4, 3
75%
0.65
The list that shows his scores from greatest to least is B. Week 2, 1, 3, 4
How to illustrate the number?From the information, Julian tracks his progress on his reading quizzes over a period of four weeks. The list is given below:
Week 1 = 17
Week 2 = 20
Week 3 = 10
Week 4 = 9
It should be noted that we want to arrange from greatest to lowest. This will be 20, 17, 10 and 9. Therefore, the correct option is B
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Given the ellipse with equation substitute the x-values from the table into the equation to obtain y-values, rounded to the nearest integer.
The value of y when X value is -1 would be = -5
What is substitution equation method?The substitution equation method is the method of solving equation whereby a value is being simplified and substituted into the second equation to obtain the next unknown value.
From the given equation:
(x-2)²/16 - (y-4)²/9 = 1
Take X = -1 and substitute X for -1 into the given equation,
(-1-2)²/16 - (y-4)²/9 = 1
9/16 - (y-4)²/9 = 1
(y-4)²/9 = 9/16- 1
(y-4)²/9 = -7/16
Cross multiply
(y -4)² = 9(-7)/16
y²+16 = -63/16
16(y²+16) = -63
16y²+256 = -63
16y² = -319
y² = -319/16
y² = -20
y= -√20
y = -4.5
y = -5
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Check that 7 divides the sum 14 + 21 + 28.
Observed that 7 is a divisor of 14, 21 and 28.
So in effect:
[tex]\bold{14 = 7 * 2}[/tex]
[tex]\bold{21 = 7 * 3}[/tex]
[tex]\bold{28 = 7 * 4}[/tex]
Thus, adding member by member the previous equalities, we would have:
[tex] \bold{14 + 21 + 28 = 63 = 7 * 2 + 7 * 3 + 7 * 4}[/tex]
Taking out the common factor of 7 in the previous expression, we will have:
[tex] \bold{4 + 21 + 28 = 7 * 9}[/tex]
I mean:
[tex] \bold{14 + 21 + 28 = 7 * 9}[/tex]
That is to say, that 7 is a divisor of the sum [tex]\bold{14 + 21 + 28}[/tex] since it is contained exactly 9 times in said sum.
The population of Kingsfield grew from 7,500 to 9,000
in one year. During the same time the population of
Queensville dropped from 32,000 to 25,600. Let the
original populations represent year 1. If these percentage
rates of decline and growth continue, during what year will
Kingsfield have a larger population than Queensville?
The time that it will take for Kingsfield to have a larger population than Queensville is given as follows:
3.58 years.
How to model the populations?The rates of decline and growth are constant, meaning that the populations for each town are modeled by exponential functions.
The rates for each town are given as follows:
Kingsfield: 9000/7500 = 1.2.Queensville: 25600/32000 = 0.8.Considering the initial population, the exponential functions for the population of each town after t years are given as follows:
Kingsfield: y = 7500(1.2)^t.Queensville: y = 32000(0.8)^t.Kingsfield will have a larger population than Queensville when:
[tex]7500(1.2)^t > 32000(0.8)^t[/tex]
Hence:
[tex]\left(\frac{1.2}{0.8}\right)^t > \frac{32000}{7500}[/tex]
(1.5)^t > 4.27
tlog(1.5) > log(4.27)
t > log(4.27)/log(1.5)
t > 3.58 years.
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barttleby rework problem 17 from section 5.1 of your text, involving the production of basketballs. assume that the number of defective basketballs produced is related by a linear equation to the total number produced. suppose that 7 defective balls are produced in a lot of 275, and 14 defective balls are produced in a lot of 375. find the number of defective balls produced in a lot of 600 balls.
the number of defective balls produced in a lot of 500 balls is 26 when 7 defective balls are produced in a lot of 275, and 14 defective balls are produced in a lot of 375
what is linear equation ?A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
calculation
let y be the number of defective basket balls
x be the total number of basketball produced
let y1 = 12 , x2 = 200
y2 = 19 , x2 = 350
since its given that no. of defective basketballs produced is related by a linear equation to the total no. of produced we have
y = mx +c
m = 19 - 12 / 350 - 200 = 7/150
y = 7x/150 + c
put x = 200 , y = 12
12 - 7 * 200/ 150 = c
c = 8/3
y = 7x /150 + 8 /3 ...........1
no. of defective balls produced in a lot of 500 balls
y (500) = 7*500/150 + 8/3
= 70/3 + 8 /3 = 78/3 = 26
the number of defective balls produced in a lot of 500 balls is 26 when 7 defective balls are produced in a lot of 275, and 14 defective balls are produced in a lot of 375
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Use spherical coordinates. Evaluate
âˆB(x2+y2+z2)2dVâˆB(x2+y2+z2)2dV,
where B is the ball with center the origin and radius 1.
please helppp.
Find the function that is finally graphed after the following transformations are applied to the graph of y=√x in the order listed.
(1) Vertical stretch by a factor of
(2) Shift up 1 unit
(3) Shift left 5 units
Y= ????
The final function after the transformations are applied to the graph of y =√x is y = 2√(x - 5) +1.
What is transformation?
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Rule of transformation:
g(x) = c f(x+a) + b
If c > 1, then f(x) vertically starched by c factor. If 0< c < 1, then f(x) vertically compressed by c factor.
If a>0, then f(x) is shifted horizontally a unit right side. If a<0, then f(x) is shifted horizontally a unit left side.
If b>0, then f(x) is shifted vertically b unit upward. If a<0, then f(x) is shifted vertically b unit downward.
Putting c = 2, a = -5, b = 1, and f(x) = √x
y = 2√(x - 5) +1
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f(x)= 4x2 -3x-16
find f(-2)
For the function f(x)=4x²-3x-16 then value of f(-2) is 6.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=4x²-3x-16.
f of x equal to four times of x square minus three times of x minus sixteen.
We need to find the value of f(-2).
We need to replace the value of x with -2.
f(-2)=4(-2)²-3(-2)-16.
=4(4)+6-16
=16+6-16
=6
Hence, the value of f(-2) is 6 for the function f(x)=4x²-3x-16.
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Billy is saving for a new DVD that costs $64. He already has $16. What % of the total cost has he
already saved?
Billy has already saved 25% of the total cost.
What is percentage?
A percentage in mathematics is a number or ratio that may be stated as a fraction of 100.In determining a percentage of a number, we should first divide it by 100 before multiply the outcome by 100. As a result, the proportion refers to a part per 100. The word "percent" refers to a fraction of one hundred. The letter "%" stands for it.
Given that, the cost of the DVD is $64.
He saved $16 for the DVD.
The percent of saving
= Saving amount/ cost of DVD × 100%
= (16/64) × 100%
= 0.25 × 100%
= 25%.
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Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches. If a random sample of fifteen 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)
The probability that the mean height x is between 68 and 70 inches is found as 37.28%.
What is meant by the term z score?The z-score effectively represents the standardized distance in units of "number standard deviations" between the raw score (procured from a population assuming a normal distribution) as well as the population mean.The z-score is written as follows:
z = (x - μ)/σ
In which,
x = between 68 and 70 inches.
μ = mean 69 inches
σ = standard deviation 6 inches
Put the values in the formula,
Probability that the mean height x is between 68 and 70 inches
P(68 < x < 70) = (68 - 69 / 6) < z < (70 - 69 / 6)
P(68 < x < 70) = (-0.16) < z < (0.16)
P(68 < x < 70) = 0.4364 - 0.0636
P(68 < x < 70) = 0.3728
P(68 < x < 70) = 37.28%
Thus, the probability that the mean height x is between 68 and 70 inches is found as 37.28%.
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Mia went to the store and bought 3 3/4 pounds of organic peaches for $16 what is the cost per pound of organic peaches 
The cost per pound of organic peaches is $4.27.
What is cost?
A cost is the value of money that has been expended in the production or delivery of a good or service and is therefore no longer available for use in accounting, retail, research, or accounting. In business, the cost may be one of acquisition, in which case the cost is the sum of the money used to acquire it.
Given:
Mia went to the store and bought 3 3/4 pounds of organic peaches for $16.
First to convert improper fraction into a fraction.
[tex]3\frac{3}{4} = \frac{4*3 + 3}{4} = \frac{15}{4}[/tex]
So Mia bought 15/4 pounds.
⇒ The cost per pound is,
[tex]\frac{16}{(\frac{15}{4} )} = 16*\frac{4}{15} = \frac{64}{15} = 4.27[/tex]
Hence, the cost per pound of organic peaches is $4.27.
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The members of the senior class are planning a dance. They use the equation r=p n to determine the total receipts. What is n expressed in terms of r and p ?
1) n=r+p
2) n=r-p
3) n={p}/{r}
4) n={r}/{p}
1)
2)
3)
4)
The n expressed in terms of r and p is n=r/p.
How to solve the word problems?
Systems of linear equations must be used to solve some word problems. Here are some hints to help you determine when you need to create a system of linear equations in a word problem:
There are two separate numbers at play, such as the total number of adults and children, the total number of large boxes and little boxes, etc.Each quantity has a value attached to it, such as the cost of an adult or kid ticket, the number of products in a large box as compared to a small box, etc.You must frequently create two distinct linear equations in two variables in order to solve these issues.
So, it is expressed as:
r=pn
n=r/p
Hence, The n expressed in terms of r and p is n=r/p.
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What values of x make the inequality x² + 5x > 6 true?
A. -6 < x < 1
B.
-3 < x < -2
C.x < -6 0
D. x < -3 or x>-2
The solution is Option A.
The values of x that makes the inequality equation x² + 5x > 6 is -6 < x < 1
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
x² + 5x > 6 be equation (1)
Now , on simplifying the equation , we get
Subtracting 6 on both sides of the equation , we get
x² + 5x - 6 > 0
On factorizing the equation , we get
x² + 6x - x - 6 > 0
Taking the common terms in the equation , we get
x ( x + 6 ) - 1 ( x + 6 ) > 0
( x - 1 ) ( x + 6 ) > 0
So , the values of x are
x + 6 > 0
Subtracting 6 on both sides of the equation , we get
x > -6
And ,
x - 1 < 0
Adding 1 on both sides of the equation , we get
x < 1
So , the inequality equation is true when x < 1 and when x > -6
Hence , the inequality equation is -6 < x < 1
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A recent survey, 35 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of ten people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate? b. What is the probability exactly four of those in the sample name chocolate? c. What is the probability four or more name chocolate?
a. You would expect 3.5 of those in the sample to name chocolate.
b. The probability exactly four of those in the sample name chocolate is 0.2438.
c. The probability four or more name chocolate is 0.5829..
a. If 35% of people in the general population indicate that chocolate is their favorite flavor of ice cream, then we would expect 35% × 10 = 3.5 people in a sample of 10 to name chocolate as their favorite flavor. Since we cannot have a fractional number of people, we can round this down to 3 people.
b. The probability that exactly 4 people in a sample of 10 name chocolate as their favorite flavor can be calculated using the binomial distribution. The probability of each individual event (i.e., a person naming chocolate as their favorite flavor) is 0.35, and there are 10 total events. The probability of exactly 4 successes (people naming chocolate as their favorite flavor) is given by the formula:
(10 choose 4) × ([tex]0.35^4[/tex]) × ([tex]0.65^6[/tex])
Where "choose" denotes the binomial coefficient, and the exponent indicates the number of times each event occurs. Plugging in the values, we get:
(210) × (0.0036125) × (0.274625) = 0.2438
So the probability that exactly 4 people in the sample name chocolate as their favorite flavor is approximately 0.2438.
c. To calculate the probability that 4 or more people in the sample name chocolate as their favorite flavor, we can use the same formula as above, but sum the probabilities for each possible number of successes greater than or equal to 4. For example, the probability of 4 successes is given by:
(10 choose 4) × ([tex]0.35^4[/tex]) × ([tex]0.65^6[/tex])
The probability of 5 successes is given by:
(10 choose 5) × ([tex]0.35^5[/tex]) × ([tex]0.65^5[/tex])
And so on. Summing the probabilities for each possible number of successes greater than or equal to 4, we get:
0.2438 + 0.1933 + 0.1047 + 0.0380 + 0.0081 = 0.5829
So the probability that 4 or more people in the sample name chocolate as their favorite flavor is approximately 0.5829.
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10. use the division algorithm to divide 116 by 3, and then, based on your work, determine which of the following statements is true. (a) q
By using the division algorithm to divide 116 by 3 will be 38.
The given integers a and b are 116 and 3 respectively.
Let q be the counter variable and r be the variable to store the new dividend after each loop.
Division algorithm,
If a<b
return 0;
else
q = 0;
r = a;
repeat
q = q+1;
r = r-b;
until r<b;
return q, r;
Working:
116 is not less than 3, implies
r = 116 -3 = 113
q = 0+1=1
Repeating until we get q = 38, r = 2 = a
2<3, hence returns q = 38, r =2
The question is incomplete, the complete question is:
use the division algorithm to divide 116 by 3, and then, based on your work, determine which of the following statements is true.
(a) q = 39 (b) q =32 (c) q = 38
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TRUE OR FALSE cedric needs to find the surface area of the triangular prism. there is a piece of information missing you need to find it before you can solve the problem.
It is true, we have to find the surface area of the triangular prism we have to find a piece of information that is missing.
In the given question we have to find the surface area of the triangular prism.
We have to follow the some step to find the surface area of the triangular prism.
Step 1: Calculate the values of b(1), b(2), and b(3), the triangle base's three sides. Additionally, calculate the values of h, the triangle base's height, and l, the prism's length (the length between the bases).
Step 2: Use the formula for calculating the area of a triangle (A=1/2bh), where b is one of b(1), b(2), or b(3), to determine the area of a triangular base (whichever one is perpendicular to h). Given that this region contains two triangle bases, multiply the result by two.
Step 3: Multiply the perimeter of a base triangle by the prism's length to find the area of its rectangular sides: A=(b(1)+b(2)+b(3))l.
Step 4: Combine the outcomes from steps 3 and 4. This is the surface area of the triangular prism.
Since the question is not clear so I have write the step to find the area of triangular prism. Using this method we can find the area of triangular prism.
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use theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 4 8 1 4 27 1 4 64 1 4 125
The given p-series 1 + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex]) is divergent as the value of is equal to 3/4 ⇒p < 1.
As given in the question,
Given p-series is equal to :
1 + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex])
As value of 1³ = 1 and fourth root of 1³ is equal to 1.
We can substitute 1 = (1 /fourth root of 1³) which is equal to
= (1/ [tex]\sqrt[4]{1^{3} }[/tex] ) + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex])
Apply nth formula we get,
= [tex]\sum\limits^\infty_0 {\frac{1}{\sqrt[4]{n^{3} } } }[/tex]
⇒ p = 3/4
And 3/4 < 1
⇒ p < 1
⇒P-series is divergent.
Therefore, as the value of p =3/4<1 the given series 1 + (1/[tex]\sqrt[4]{2^{3} }[/tex]) + (1/[tex]\sqrt[4]{3^{3} }[/tex]) + (1/ [tex]\sqrt[4]{4^{3} }[/tex])+ (1/ [tex]\sqrt[4]{5^{3} }[/tex]) is divergent.
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What is the image of (10,-6) after a dilation by a scale factor of 1/2 centered at the origin?
The image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin is (-5,-3).
What is dilation?
A dilation is a function f from a metric space M into itself that, for any points x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is a positive real number. Such a dilatation is a resemblance of the space in Euclidean space.
Here, we have
Given
The image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin.
We have to find the image after dilation.
The coordinates of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))
Image = (-5,-3)
Hence, the image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin is (-5,-3).
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A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use
PLEASE I CANT FAIL MY FINAL
Answer:
idrk i would at least need how many hours he gardens and how many hours he mows the lawn, for just mowing the lawn he would need to do that for 20 hours completely, for gardening he would need to work 15 hours.
Step-by-step explanation: yaaa