Patel needs about 1/6 cups of orange juice to reach his estimate.
The quantity of orange juice squeezed by Patel from each orange:
1st orange = 4/17 cups
2nd orange = 3/10 cups
3rd orange = 9/20 cups
4th orange = 3/11 cups
5th orange = 7/15 cups
Total cups of orange juice squeezed by Patel is,
4/17 + 3/10 + 9/20 + 3/11 + 7/15
Taking L.C.M. of the denominators i.e., L.C.M. of 17, 10, 20, 11 & 15 = 11220
= ( 2640 + 3366 + 5049 + 3060 + 5236 ) / 11220
= 19351/11220 cups
But, Patel needs 2 cups of juice for his family
∴ The quantity of juice he needs to reach his estimate is,
= 2 - (19351/11220)
= (22440 - 19351) / 11220
= 3089/11220
= 0.2753 cups
Now, we will observe the given options:
1) 1/6 = 0.167 cups
2) 5/6 = 0.833 cups
3) 1 (2/3) = 1.67 cups
4) 1(5/6) = 11/6 = 1.833 cups
Hence, Patel needs about 1/6 cups of orange juice to reach his estimate.
To know more about L.C.M. check the below link:
https://brainly.com/question/233244
#SPJ1
the value of result in the following expression will be 0 if x has the value of 12. result = x > 100 ? 0 : 1;
The value of result in the following expression will be 0 if x has the value of 12:
result = x > 100 ? 0 : 1.
The expression given is known as a ternary operator.
It's a short form of if-else.
The ternary operator is written with three arguments separated by a question mark and a colon:
`variable = (condition) ? value_if_true : value_if_false`.
Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100) { result = 0; } else { result = 1; }
As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.
Hence, the answer is `0`.
Learn more about value from the given link;
https://brainly.com/question/54952879
#SPJ11
which one of the following is not statistical sampling? simple random sample. stratified random sampling. cluster sampling. convenience sampling.
Convenience sampling is not a type of statistical sampling.
What is statistical sampling?
Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study.
If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
Main body:
Simple random sample:
Each individual and group of individuals have the same chance of being selected for the sample. To obtain a basic random sample, one needs technology, random number generators, or some other type of chance mechanism.
stratified Random sample :
The population is first divided into sections. There are some people from each group in the overall sample. Each group's participants are chosen at random.
Cluster sampling:
Grouping the population first, a cluster random sample is taken. Every member of some of the groups makes up the overall sample. The selection of the groups is random.
Hence Convenience sampling is not a type of statistical sampling.
To learn more about statistical sampling , visit:
https://brainly.com/question/24466382
#SPJ4
HELP PLS I need the answer in 2 days when my homework is due!!
Answer:
123
Step-by-step explanation:
First of all, you have to find the total amount of people surveyed, so you add 82+105+141, which would be 328. Then you have to find 37.5% of 328, which is 123 only childs that have no pets.
Combine the like terms to create an equivalent expression for -5j+(−2j)+3
Answer:
-7j+3
Step-by-step explanation:
-5j+-2j+3
Combine -5j and -2j using like terms which gets you -7j.
-7j+3
So your answer is -7j+3.
Given is a linear-constant-coefficient difference equation: y(n)−y(n−1)−2y(n−2)=x(n)−x(n−1) a) Draw a block-diagram of the Direct-Form 2 implementation of the system defined by the equation above (7pts) For the following parts of the problem, assume the input signal and initial conditions: x(n)=(−1)
n
u(n),y(−1)=1,y(−2)=−
2
1
b) What is the particular solution of the equation to the input signal ? (6 pts) c) Find the zero-state and zero-input solutions of the equation to the given input signal and initial conditions. Then, find the total solution (12 pts)
a. Here's how you can represent the given equation in the Direct-Form 2:
y(n) = x(n) + a1 * y(n-1) + a2 * y(n-2)
b. you need to substitute this input signal into the difference equation and solve for y(n).
c. To find the total solution, you need to sum the zero-state solution and the zero-input solution.
a) To implement the system defined by the given difference equation using the Direct-Form 2, you can break down the equation into a set of smaller equations.
The Direct-Form 2 implementation involves using two delay elements (z^(-1)) and one gain (a). Here's how you can represent the given equation in the Direct-Form 2:
y(n) = x(n) + a1 * y(n-1) + a2 * y(n-2)
Where a1 and a2 are the coefficients of the y(n-1) and y(n-2) terms respectively. In this case, a1 = -1 and a2 = -2.
b) The particular solution of the equation refers to the solution that satisfies the given input signal. In this case, the input signal x(n) is given as (-1)^n * u(n). To find the particular solution, you need to substitute this input signal into the difference equation and solve for y(n).
c) To find the zero-state solution, you need to assume that there are no initial conditions (y(-1) and y(-2) are both zero). You can substitute the given input signal x(n) and solve the difference equation to find the zero-state solution.
To find the zero-input solution, you need to assume that the input signal is zero (x(n) = 0). You can then solve the difference equation with the given initial conditions to find the zero-input solution.
To find the total solution, you need to sum the zero-state solution and the zero-input solution.
To learn more about system, refer below:
https://brainly.com/question/19843453
#SPJ11
Taylor has attached cross braces diagonally across the backside
of a bookshelf to improve its stability. The horizontal distance
between the ends of each cross brace is 75 centimeters and
the vertical distance is 56 centimeters. Find the length of each
cross brace.
56 cm
Can someone please help me with this math
The value of x in the given inequality is x is greater than or equal to 16.
What is inequality?Using symbols like (less than), > (greater than), (less than or equal to), or (greater than or equal to), an inequality compares two values or expressions and illustrates their connection (not equal to). When values or phrases are being compared, it is said that there exist inequalities. For instance, the inequality x + 2 7 signifies that "x plus 2 has a value less than 7."
The given inequality is x - 4 ≥ 12.
Add 4 on both sides of the inequality:
x - 4 + 4 ≥ 12 + 4
x ≥ 16
Hence, the value of x in the given inequality is x is greater than or equal to 16.
Learn more about inequality here:
https://brainly.com/question/30231190
#SPJ1
Dolores spent $13.00 of the $20.00 in her wallet. Which decimal fraction represents the fraction of the $20.00 Dolores spent?
Answer: 65
Step-by-step explanation:
What is the area of a right triangle 9 centimeters
high with a base of 9 centimeters?
Answer:C
Step-by-step explanation:
Area = 1/2 b h
Area = 1/2 * 9 * 9 = 40.5 sq cm
The area of the right triangle will be 40.5 square cm. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The dimension of the right triangle will be given below.
Height = 9 cm
Base = 9 cm
Then the area of the right triangle will be
Area = 1/2 x 9 x 9
Area = 40.5 square cm
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
If U is between T and B. Draw and find the value of “x” and then the measure of TU. Enter TU into the answer box. ROUND TO THE NEAREST TENTH! TU = 4x, UB = 8x - 32, TB = 97 please help meee
The volume of a rectangular prism is 72 cubic cenimeters, Its 2 cenimeters wide and 4 cenimeters high, Whats the length
Answer:Length of the prism is 9 cm.
Step-by-step explanation:
We are given,
A rectangular prism with volume 72 cm², width 2 cm and height.
As, we know,
Volume of a rectangular prism = Length × Width × Height
i.e. 72 = Length × 2 × 4
i.e. 72 = Length × 8
i.e. Length =
i.e. Length = 9 cm.
Hence, the length of the prism is 9 cm
Step-by-step explanation:
Britney bought 4 apples, 5 bananas, and 8 oranges at the grocery store. Which is the ratio of apples to bananas written as a decimal? A. 2 B. 0.5 C. 0.4 D. 0.8
Answer:
D. 0.8
Step-by-step explanation:
The ratio in mathematics indicates how many times one number contains another. To find this ratio you must make division of both nubers. For example the ratio of X to Y is X/Y.
As there are 4 apples to 5 bananas, the ratio of apples to bananas is:
4/5 = 0.8
Right answer is:
D. 0.8The table shows the distance that two trains are from center station at various times of the day
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Hope this helps..... Stay safe and have a Merry Christmas!!! :D
A cylinder has a volume of 1 and one sixteenth in3 and a radius of one fourth in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
119 twelfths inches
119 over 22 inches
119 over 44 inches
119 over 56 inches
The height of the cylinder is approximately 2.45 inches.
What is Volume?Volume is the measure of the space occupied by a three-dimensional object. It is typically expressed in cubic units.
The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
1 and 1/16 = π(1/4)²h
Simplifying and solving for h, we get:
h = (1 and 1/16) / (π(1/4)²)
h = (17/16) / (π/16)
h = 17/π
Approximating using π = 22/7, we get:
h ≈ 17 / (22/7)
h ≈ 2.45 inches (rounded to two decimal places)
Therefore, the height of the cylinder is approximately 2.45 inches
To learn more about Volume from the given link
https://brainly.com/question/463363
#SPJ1
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y-4= -2/3 (x-6) and passes through the point (-2, -2)?
Oy=-2/3x-10
Oy=-2/3x+10
Oy=x3/2x-1
O y=3/2x+1
Answer:
The answer is option D.
Equation of a line is y = mx + c
m = slope
c = intercept on y axis
y-4= -2/3 (x-6)
y = -2/3x + 4 + 4
y = -2/3x + 8
From the above equation
m= -2/3
Since the lines are perpendicular the slope of the line is the negative inverse of the original line.
so m = 3/2
Equation of the line using point (-2 , -2) is
y + 2 = 3/2(x+2)
y = 3/2x + 3 - 2
y = 3/2x + 1
That's the last option
Hope this helps
The linear equation with the given characteristics is given by:
\(y = \frac{3}{2}x + 1\)
What is the equation of a line in slope-intercept form?It is given by:
y = mx + b.
In which:
m is the slope.b is the y-intercept.When two lines are perpendicular, the multiplication of their slopes is -1, hence:
\(-\frac{2}{3}m = -1\)
\(2m = 3\)
\(m = \frac{3}{2}\)
Then:
\(y = \frac{3}{2}x + b\)
It passes through the point (-2, -2), hence:
\(-2 = \frac{3}{2}(-2) + b\)
\(-3 + b = -2\)
\(b = 1\)
Hence, the equation is:
\(y = \frac{3}{2}x + 1\)
More can be learned about linear equations at https://brainly.com/question/24808124
Find f(1), f(2), f(3), f(4), and f(5) if f(n) is defined recursively by f(0) = 3 and for n = 0,1,2,....
(a) f(n+1) = -2f(n)
(b) f(n+1) = 3f(n) +7
(c) f(n+1) = f(n)^2 – 2f(n) – 2
(d) f(n+1) = 3^J(n)/3
The values of function being changed according to the recursive formulae a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b) f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.
Let's find the values of f(1), f(2), f(3), f(4), and f(5) for each of the given recursive definitions:
(a) f(n+1) = -2f(n)
Using this recursive formula, we can calculate the values as follows:
f(1) = -2f(0) = -2(3) = -6
f(2) = -2f(1) = -2(-6) = 12
f(3) = -2f(2) = -2(12) = -24
f(4) = -2f(3) = -2(-24) = 48
f(5) = -2f(4) = -2(48) = -96
Therefore, f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96.
(b) f(n+1) = 3f(n) + 7
Using this recursive formula, we can calculate the values as follows:
f(1) = 3f(0) + 7 = 3(3) + 7 = 9 + 7 = 16
f(2) = 3f(1) + 7 = 3(16) + 7 = 48 + 7 = 55
f(3) = 3f(2) + 7 = 3(55) + 7 = 165 + 7 = 172
f(4) = 3f(3) + 7 = 3(172) + 7 = 516 + 7 = 523
f(5) = 3f(4) + 7 = 3(523) + 7 = 1569 + 7 = 1576
Therefore, f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576.
(c) f(n+1) = f(n)² – 2f(n) – 2
Using this recursive formula, we can calculate the values as follows:
f(1) = f(0)² - 2f(0) - 2 = 3² - 2(3) - 2 = 9 - 6 - 2 = 1
f(2) = f(1)² - 2f(1) - 2 = 1² - 2(1) - 2 = 1 - 2 - 2 = -3
f(3) = f(2)² - 2f(2) - 2 = (-3)² - 2(-3) - 2 = 9 + 6 - 2 = 13
f(4) = f(3)² - 2f(3) - 2 = 13² - 2(13) - 2 = 169 - 26 - 2 = 141
f(5) = f(4)² - 2f(4) - 2 = 141² - 2(141) - 2 = 19881 - 282 - 2 = 19597
Therefore, f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.
Therefore, The values of function being changed according to thr recursive formulae a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b) f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.
To know more about recursive formula check the below link:
https://brainly.com/question/30977517
#SPJ4
help? please
if someone could help id appreciate it
Amber would like to go on the field trip this Saturday. However, she was scheduled to work 10 hours and she makes $8.50 an hour. Additionally, the field trip activity fee was $30. What is her opportunity cost to go on the field trip?
Answer:
The opportunity cost is $85.
Step-by-step explanation:
The scheduled for work = 10 hours.
Money that Amber makes by earning = $8.50 per hour.
Total money earned by Amber = 10 ×8.50 = $85
The fee of the filed trip = $30
Now we have to find the filed trip’s opportunity cost. Since we know that the opportunity cost is the amount that is left in order to get the best alternative. Therefore, if Amber goes on a field trip then he has to forgive the earning. So, the total earning $85 is the opportunity cost.
Suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the . Find the best predicted value of given that the has an IQ of ?
Use a significance level of 0.05. 20 siblings 20 x=99.42 y=97.2 =0.867 = = −21.33+1.19x y older child y older child 97 Click the icon to view the critical values of the Pearson correlation coefficient r.1 The best predicted value of is . y (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 0.05 α = 0.01 α = NOTE: To test H0 : 0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table. rho= rho≠4 0.950 0.990 5 0.878 0.959 6 0.811 0.917
The best predicted value given that a person has an IQ of 91 is 94.03.
Here, we are given that-
sample size n = 20
sample mean for the independent value x = 100.39
sample mean for the dependent value y = 103.6
coefficient of correlation r = 0.925
The general expression for representing a linear model is given by-
y = β₀ + β₁x
where β₀ is the intercept and β₁ is the slope
For the above given case, the linear model will be given as-
y = -3.34 + 1.07x
where -3.34 is the intercept and 1.07 the slope.
To find the best predicted value when X = 91, we substitute the value of x as 91 in the equation as follows-
y = -3.34 + 1.07(91)
y = 94.03
Thus, the best predicted value given that a person has an IQ of 91 is 94.03.
Learn more about estimation here-
https://brainly.com/question/15712887
#SPJ4
For what value of n is |n− 1| + 1 equal to 0 ?
Answer:
|n - 1| + 1 = 0
|n - 1| = -1
no solution
PLEASE HELP ME
Look at table and solve.
Identify the number of positive and negative residuals, the residual with the greatest absolute value, and the residual with the least absolute value. Is the model a good fit?
There are __?_ positive residuals and __?_ negative residuals.
The residual with the greatest absolute value is__ , and the residual with the least absolute value is__ .
Question 3
The absolute values of the residuals are relatively (small or large) , and in general, the data points (are or are not)evenly dispersed about the line of fit.
So, the equation y=−x+9.6 (Is or is not) a good fit.
Answer:ur
Step-by-step explanation:
Which point is a solution to the inequality shown in this graph?
A (6,0)
B (5,-5)
C (0,-3)
D (0,-5)
Answer:
(0,-3)
Step-by-step explanation:
Apex
The sum of 8 times a number and 3 is equal to 2.
Answer:
-1/8
Step-by-step explanation:
Let's assign this "number" the variable n:
8n + 3 = 2
8n = -1
n = -1/8
help please
What is 2/3÷1/2
Answer: B
Step-by-step explanation:
2/3 x 2/1 =4/3
A teacher buys 15 boxes of pencils, 3 boxes of erasers, and 7 boxes of dry erase markers for the class. Each box of pencils costs $19.85, each box of erasers costs $5.62, and each box of dry erase markers costs $31.22.What is the best estimate, in dollars, of the classroom items?
Answer:
533.15
Step-by-step explanation:
$15*19.85+3*5.62+7*31.22
=533.15
Make me brainliest
The best estimate in dollars for the classroom items will be equal to $533.15.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Total pencil boxes = 15
Price of each pencil box = is $19.85
Then, the price of 7 pencil boxes will be: 15 × $19.85 = $297.75
Total Erasers boxes = 3
Price of each eraser box = is $5.62
Then, the price of 3 eraser boxes will be: 3 × $5.62 = $16.86
Total dry-erase boxes = 7
Then, the price of 7 dry-erase boxes will be: 7 × $31.22 = $218.54
Then, the total price of all these items will be,
$297.75 + $16.86 + $218.54 = $533.15
To know more about arithmetic operations:
https://brainly.com/question/25277954.
#SPJ2
A, B & C form a triangle where Z
BAC = 90°.
AB = 3.3 mm and CA = 7.7 mm.
Find the length of BC, giving your
answer rounded to 1 DP.
Answer:
BC≈8,38
Step-by-step explanation:
AB=a
BC=c
CA=b
a²+b²=c²
3.3²+7.7²=c²
√70,18=√c²
c≈8,38
What is the vertex form of 3x^2+6x+10
Answer:
3x2+6x−10
y=3x2+6x−10
Rewrite the equation in vertex form.
y=3(x+1)2−13
Use the vertex form, y=a(x-h)2+k, to determine the values of a h, and k.a=3h=−1k=−13 (h,k).(−1,13)
Step-by-step explanation:
help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
Please help me answer question number 1 ?
Answer:
8820.26 yd
Explanation:
the formula for finding the area of a circle is π × radius². since the diameter of the circle is given, we can simply divide it by 2 to find the radius.
106 ÷ 2 = 53
now, we can substitute this into the formula:
π × radius²
= 3.14 × 53²
= 8820.26 yd
i hope this helps! :D
PT= 3x+7 and TQ=5x-7