The fate of the 22 checked bags can be considered the Bernoulli trials.
A Bernoulli trial is a random experiment with two possible outcomes, often referred to as a "success" or "failure." In the context of the lost luggage problem, success would be a checked bag that is not misplaced, and failure would be a checked bag that is misplaced.
For a set of trials to be considered Bernoulli trials, the following conditions must be met:
The trials must be independent, meaning that the outcome of one trial does not affect the outcome of another trial.The probability of success (a bag not being misplaced) must be constant across all trials.The trials must have only two possible outcomes: success or failure.In this case, the fate of the 22 checked bags can be considered Bernoulli trials if the following conditions are met:
The bags are checked in separately, so the outcome of one bag does not affect the outcome of another bag, therefore they are independent trials.The probability of a bag being misplaced is given as 5 bags per 1000 passengers, which is constant across all passengers, including the group of 22 passengers.The trials have two possible outcomes: a bag is misplaced or a bag is not misplaced.Therefore, the fate of the 22 checked bags can be considered Bernoulli trials.
To learn more about the probability, visit:
brainly.com/question/30034780
#SPJ4
What is the radius and diameter of the following circle
Answer:
The radius of the circle is 5.1, and the diameter of the circle is 10.2
Step-by-step explanation:
In the shown circle, the point from the center to the edge is 5.1, so that is the radius. Then, the diameter of a circle is twice its radius, so we have:
5.1 * 2 = 10.2
So the diameter of the circle is 10.2.
The radius of the circle is 5.1, and the diameter of the circle is 10.2.
Hope this helped!
let $s n$ be the sum of the reciprocals of the non-zero digits of the integers from to $10^n$ inclusive. find the smallest positive integer $n$ for which $s n$ is an integer.
If Sₙ denotes the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive , then the smallest positive integer n for which Sₙ is an integer is 63 .
The "Sₙ" be the sum of reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive ;
We Let [tex]K= \sum_{i=1} ^{9} \frac{1}{i}[/tex] ,
On further examination , we get that , [tex]S_{1} =K+1[/tex] ;
Since each digit "n" appears once and the number 1 appears for an extra time.
Now , we write S₂ .
So ,Each term of K will appear 10 times in the units place and 10 times in the tens place ,
So , we get [tex]S_{2} = (n10^{n-1})K+1[/tex] ; and there are total "n" places ;
The denominator of K is written as [tex]D=2^{3} .3^{2} .5.7[/tex] .
For Sₙ to be an integer, [tex]n10^{n-1}[/tex] must be divisible by D , we must select "n" to be divisible by [tex]3^{2} .7[/tex] .
And since need to find the smallest integer "n" , So , the n is [tex]3^{2} .7 = 63[/tex] .
Therefore , For Sₙ to be an integer , the smallest positive integer n is 63 .
The given question is incomplete , the complete question is
Let Sₙ be the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive. find the smallest positive integer n for which Sₙ is an integer .
Learn more about Sums here
https://brainly.com/question/10417065
#SPJ4
Solve for X, Leave in simplest radical form
The value of x in the simplest radical form is 3.
What are trigonometric relations?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
Given: Let the triangle be ΔABC
The triangle ABC is a right-angled triangle and the angles inside the triangles are 45°, 45° and 90°
tan θ = x / 3
Now , θ = 45°
So, tan 45° = x / 3
The value of x is 3.
Hence, the value of x is 3.
To learn more about trigonometric relations visit:
brainly.com/question/1143565
#SPJ1
what is the answer for understanding and ordering decimals?
Answer:
they always go smallest to largest!
7.65 x 2= 3.21
Step-by-step explanation:
A rental car company charge $72. 37 per day to rent a car and $0. 06 for every mile driven. Colton want to rent a car, knowing that:
He plan to drive 275 mile. He ha at mot $450 to pend. Which inequality can be ued to determine dd, the maximum number of day Colton can afford to rent for while taying within hi budget?
Colton can rent the car for a total of 6 days while still staying within his means.
We are aware that hiring a car costs $72.37 per day, and that each mile travelled costs $0.06. We also know that Colton has a $450 spending limit and intends to go 275 miles.
We may set up the following inequality to determine how long Colton can afford to hire the car for:
72.37d + 0.06(275) <= 450
This inequality indicates that the entire cost must be less than or equal to Colton's $450 budget. It represents the cost of renting the car as well as the cost of the miles driven.
We must isolate d on one side of the inequality in order to solve for it. To calculate the cost of the miles driven, first multiply 0.06 by 275:
72.37d + 16.5 <= 450
After that, we will take 16.5 away from either side of the inequality:
72.37d <= 433.5
A final division of 72.37 will be applied to both sides of the inequality:
d <= 6
Therefore, Colton can rent the car for a total of 6 days while still staying within his means.
To know more about inequality visit :
brainly.com/question/30228778
#SPJ4
a right triangle has sides that measure 24 and 32, but the length of the hypotenuse is unknown. what is the perimeter measurement of this triangle? round your answer to the nearest hundredth
The perimeter of the triangle is 96, rounded to the nearest hundredth.
To calculate the perimeter of the triangle, we need to first calculate the length of the hypotenuse.
The hypotenuse of a right triangle is calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the two sides.
Therefore, for this triangle, we have:
(Hypotenuse)² = (24)² + (32)²
Therefore, the Hypotenuse = √(24² + 32²)
Hypotenuse = √(576 + 1024)
Hypotenuse = √1600
Hypotenuse = 40
To calculate the perimeter, we need to add up all three sides of the triangle.
the perimeter = 24 + 32 + 40
the perimeter = 96
Therefore, the perimeter of the triangle is 96, rounded to the nearest hundredth.
Learn more about right triangle here:
https://brainly.com/question/29285631
#SPJ4
my grandpa has 10 pieces of art, including 3 prints by escher. if he hangs the pieces of art in a row in a random order, what is the probability that all three pieces by escher will be placed consecutively?
The probability that all three Escher prints will be placed consecutively is 3/5 or 0.6
The probability that all three pieces by Escher will be placed consecutively when hanging the 10 pieces of art in a random order is the probability that the 3 Escher prints will be in a row among the other 7 pieces.
There are 10!/(3! × 7!) = 120 ways to order the 10 pieces of art, and 3! = 6 ways to order the 3 Escher prints among themselves.
So the total number of ways to order the art such that the Escher prints are consecutive is 120 × 6 = 720.
Now to find the probability that all three Escher prints will be placed consecutively, we divide the number of ways that this can happen (720) by the total number of ways the art can be arranged (120) to get 720/120 = 6/10 = 3/5.
To learn more about probability at
https://brainly.com/question/29251028?referrer=searchResults
#SPJ4
What is angle x? It needs to use the rules of angles in parallel lines
Answer:
53
Step-by-step explanation:
I WILL MARK BRAINLIEST
u(x) = 5x + 3
w(x) = -5x -4
Find the value of u(w(-5)).
Answer:
148
Step-by-step explanation:
first plug in w(x) into u(x):
u(w(x)) = 5(-5(x)+4)+3
then plug in -5 for x:
u(w(-5)) = 5(-5(-5)+4)+3
solve:
= 148
This is a composite function:
Composite functions are are functions that are written within each other like f(g(x).
To solve this problem, first solve the function within u(x), which would be w(x)
w(-5) = -5(-5) -4
= 25 - 4
= 21
Now, plug in that value into u(x) to get your final answer:
u(21) = 5(21) +3
= 105 +3
= 108
Answer: u(w(-5) = 108
solve the simultaneous equation :
x² + y² = 18
x + 2 = - 3x
The solution to the simultaneous equation is x = -1/2 and y = √71 / 2
What is a Linear Expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
For example, t² is a variable raised to the second power, but t is a variable raised to the first power.
x² + y² = 18 ----- 1
x + 2 = - 3x ---- 2
From equation 2
x + 2 = - 3x
x + 3x = -2
4x = -2
x = -2/4
x = -1/2
Substitute x in equation 1
(-1/2)² + y² = 18
1/4 + y² = 18
y² = 18 - 1/4
y² = (72 - 1)/4
y² = 71/4
y = √71 / 2
Learn more about linear expressions here: https://brainly.com/question/2030026
#SPJ1
Given the following point on the unit circle, find the angle, to the nearest tenth of a
degree (if necessary), of the terminal side through that point, 0° 0 < 360°.
P =
3
4
ܠܛܕ
47)
Answer: [tex]303^{\circ}[/tex]
Step-by-step explanation:
The point [tex]P[/tex] lies in the fourth quadrant, so the angle is given by [tex]360^{\circ}-\alpha[/tex], where [tex]\alpha[/tex] is the reference angle.
The reference angle is given by [tex]\arctan \left(\frac{\frac{\sqrt{7}}{4}}{\frac{\sqrt{3}}{4}} \right)=\arctan \left(\sqrt{\frac{7}{3}} \right)[/tex].
This means [tex]\theta=360^{\circ}-\arctan \left(\sqrt{\frac{7}{3}}} \right) \approx 303^{\circ}[/tex].
(a) write the joint density f(x, y). (b) find e(ax by c). (c) find e[x2 ]. (hint: use the variance identity.) (d) find var(ax by c).
i) Joint density distribution function is given as
f(x,y) = 1/2Πσ1σ2 exp[(-1)/2 {((x-µ1)^2)/(σ1^2)+ ((y-µ2))/(σ2^2)}]
ii) E(aX + bY + c) = aµx + bµy + c iii) E(X^2) = σx^2 + µx^2
We have been given that, X ~ N(µx , σx^2) and Y~ N(µy , σy^2)
and X and Y are independent that is
ρ = 0
Note that the joint density function of two normal distribution is known as bivariate normal distribution which is given as
(X , Y) ~ BVN(µ1 , µ2 , σ1^2 , σ2^2 , ρ)
And whose joint density function is
f(x,y) = 1/(2Πσ1σ2√(1-ρ^2)) exp[(-1)/(2(1-ρ^2)) {((x-µ1)^2)/(σ1^2)-2ρ (x-µ1)(y-µ2)/σ1σ2+ ((y-µ2))/(σ2^2)}]
Where ρ = correlation coefficient of (x,y)
i) Joint density function of given X and Y which follows
(X , Y) ~ BVN(µx , µy , σx^2 , σy^2 , 0) is given as
f(x,y) = 1/2Πσ1σ2 exp[(-1)/2 {((x-µ1)^2)/(σ1^2)+ ((y-µ2))/(σ2^2)}]
ii) E(aX + bY + c) = aE(X) + bE(Y) + c
= aµx + bµy + c
iii) E(X^2) = V(X) + [E(X)]^2 {V(X) = E(X^2) - [E(X)]^2}
= σx^2 + µx^2
Learn more about distribution here :
brainly.com/question/4079902
#SPJ4
your roommate has six pets (fish, cat, turtle, dog, rock, and pony). he will take three of his six pets with him as he skips town and leaves you to pay rent. how many different collections of pets can he take if he cannot take both the dog and the cat (because they will fight like cats and dogs)?
The total number of different collections of pets your roommate can take is 10 + 10 = 20.
In this scenario, your roommate has two options for which pets to take with him: either the dog or the cat. If he takes the dog, he can take any two of the remaining five pets (fish, turtle, rock, pony). There are 5 choose 2 = 10 ways for him to do this. If he takes the cat, he can take any two of the remaining five pets (fish, turtle, rock, pony, dog). There are 5 choose 2 = 10 ways for him to do this.
Therefore, the total number of different collections of pets your roommate can take is 10 + 10 = 20.
To learn more about permutation and combination, refer to the link:brainly.com/question/13387529
#SPJ4
On the double number line, 3 minutes corresponds to 180 beats.
0 ? 120 180 240 300
Beats:
Minutes:
0 1
2
3
4
5
How many beats are there in 3 minutes? Type your answer as a number.
Three minutes equal 180 beats on the double number line. three minutes of 270 beats 2:180=90 , 3:270=90
How many beats are in 3 minutes ?In music, a beat is a pulse that occurs repeatedly. Simple meters are those in which the beat first breaks into two, and subsequently into four. There are two beat groups in double meters, three beat groups in triple meters, and four beat groups in quadruple meters.
For double, triple, and quadruple meters, there are several conducting patterns. One group of beats equals one measure (duple, triple, or quadruple). Bar lines divide the measures. Simple meters' time signatures specify two things: the beat unit, or note value that represents the beat, and the number of beats in each measure (the top number). Notes are graphically grouped by beat and connected by a beam.
To learn more about beats refer to :
https://brainly.com/question/888658
#SPJ1
Evaluate the expression.
Do not round your answer.
5- 3/2 to the second power
The result of.tge evaluation of the given expression as required is; 11 / 4.
What is the value of the expression upon evaluation?It follows from the task content that the value of the expression given be determined upon evaluation.
Since the given expression is; 5 - 3/2 to the second power
5 - (3/2)²
= 5 - 3²/2²
= 5 - 9/4
= 20 / 4 - 9 /4
On this note, the resulting expression is; ( 20 - 9 ) / 4 = 11/4.
Ultimately, the result of the expression evaluation as required to be determined is; 11 / 4.
Read more on evaluation of expressions;
https://brainly.com/question/3590570
#SPJ1
Find the exact value of cos using cos( - ): Hint: To calculate π/12, select two fractions that when subtracted from each other will result in π/12.
The exact value of cos is cos([tex]\frac{\pi }{12}[/tex]) = ([tex]\sqrt{2}[/tex] + [tex]\sqrt{6}[/tex]) /4
given that
Trigonometry is a field of mathematics that examines correlations between triangle side lengths and angles (from the Ancient Greek words "trigonon" and "metron"). The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. While Indian mathematicians produced the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine, the Greeks concentrated on chord calculation.
Trigonometry has been used historically in fields like geodesy, surveying, celestial mechanics, and navigation.
Trigonometry has a wide variety of identities. In order to simplify an expression, identify a more practical version of an expression, or solve an equation, trigonometric identities are frequently employed to rewrite trigonometrical expressions.
now , we need to find the value of cos
[tex]\pi[/tex]/12 can be written as [tex]\pi[/tex]/3 and [tex]\pi[/tex]/4
using cos(-) we need to find
cos(A - B) = cos(A)cos(B)+sin(A)sin(B)
cos([tex]\frac{\pi }{3}[/tex] - [tex]\frac{\pi }{4}[/tex]) = cos([tex]\frac{\pi }{3}[/tex])cos([tex]\frac{\pi }{4}[/tex]) + sin([tex]\frac{\pi }{3}[/tex])sin([tex]\frac{\pi }{4}[/tex])
cos([tex]\frac{\pi }{12}[/tex]) = (1/2)(1/[tex]\sqrt{2}[/tex]) +([tex]\sqrt{3}[/tex]/2)(1/[tex]\sqrt{2}[/tex])
= (1/2)([tex]\sqrt{2}[/tex]/2) + ([tex]\sqrt{3}[/tex]/2)([tex]\sqrt{2}[/tex]/2)
= ([tex]\sqrt{2}[/tex]/4) + ([tex]\sqrt{6}[/tex]/4)
cos([tex]\frac{\pi }{12}[/tex]) = ([tex]\sqrt{2}[/tex] + [tex]\sqrt{6}[/tex]) /4
To learn more about cos:
https://brainly.com/question/2193114
#SPJ4
The table shown represents a linear relationship.
x 0 1 2 3
y -6 -4 -2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
Oy=2x + 6
Oy=2x-6
Oy=-2x + 3
Oy=-2x - 3
The slope intercept form of the equation is B) y=2x-6.
What is slope intercept form of the equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
Here According to the table using two points [tex](x_1,y_1) =(0,-6)[/tex] and [tex](x_2,y_2)=(3,0)[/tex] .
Now using slope formula m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> m = [tex]\frac{0-(-6)}{3-0}[/tex]
=> m = [tex]\frac{6}{3} = 2[/tex]
Now using equation formula then
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y-(-6)=2(x-0)
=> y+6 = 2x
=> y = 2x-6
Hence the slope intercept form of the equation is B) y=2x-6.
To learn more about slope intercept form refer the below link
https://brainly.com/question/25262302
#SPJ1
A trampoline salesman makes $25,000 annually plus 6% commission on his total sales.
If he sold $40,000 worth of trampolines this year, what are his total earnings?
Answer:
$27,400.
Step-by-step explanation:
We know that the salesman makes $25,000 annually plus 6% commission on his total sales.
We also know that he sold $40,000 worth of trampolines this year.
So we can find out his commission by multiplying the value of sales with 6% commission rate.
Commission = 0.06 * $40,000 = $2400
To find out his total earnings we need to add his annual salary with commission earned.
Total earnings = $25,000 + $2400 = $27,400
So the salesman's total earnings for this year is $27,400.
What is the measure of angle x?
Answer:
159
Step-by-step explanation:
The angle below is a co-interior angle
This means that both angle should add up to 180
180 - 21 = 159Have a lovely day :)
Answer:
Step-by-step explanation:
Because we know that the two lines going diagonal are equivalent, we also know that they are parallel because equivalent lines have the same slope, meaning they are parallel. We also know that the two interior angles should add to 180. Follow the steps in the image for the rest.
-Hope this helped
Find the sum. Simplify
2 2/10
Answer:
2 1/5
Step-by-step explanation:
What is the slope represented in the table?
Answer:
add up variables and divide by 2
Can absolute value equal zero?
Answer:
yes
Step-by-step explanation:
The absolute value is only greater than or equal to zero.
PLS HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\textsf{1)} \quad 10000(1.06)^t[/tex]
2) €17,908.48
3) 0.5%
4) 120
[tex]\textsf{5)} \quad 10000(1.005)^{120}[/tex]
6) €18,193.97
7) More money.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Question 1Given:
P = €10,000r = 6% = 0.06Substitute the given values into the compound interest formula to write an expression that describes the given scenario over t years:
[tex]\implies A=10000(1+0.06)^t[/tex]
[tex]\implies A=10000(1.06)^t[/tex]
Question 2To calculate how much money will be in the fund after 10 years, substitute t = 10 into the equation from question 1:
[tex]\implies A=10000(1.06)^{10}[/tex]
[tex]\implies A=10000(1.79084769...)[/tex]
[tex]\implies A=17908.4769...[/tex]
Therefore, there will be €17,908.48 in the emergency fund after 10 years.
Question 3If the annual rate is 6%, the monthly interest rate is the annual rate divided by 12 (since there are 12 months in a year):
[tex]\implies \dfrac{6\%}{12}=0.5\%[/tex]
Question 4Given that are 10 years in the scenario, the exponent will be the number of months in 10 years:
[tex]\implies 10 \times 12 = 120[/tex]
Question 50.5% = 0.005
Therefore, the complete expression that describes the scenario, given an annual interest rate of 6% that compounds monthly over 10 years is:
[tex]\implies 10000(1 + 0.005)^{120}[/tex]
[tex]\implies 10000(1.005)^{120}[/tex]
Question 6To calculate how much money will be in the emergency fund after 10 years if the interest compounds monthly, calculate the expression from question 5:
[tex]\implies 10000(1.005)^{120}[/tex]
[tex]\implies 10000(1.81939673...)[/tex]
[tex]\implies 18193.9673...[/tex]
Therefore, there will be €18,193.97 in the emergency fund after 10 years.
Question 7Amount in fund when compounded annually = €17,908.48
Amount in fund when compounded monthly = €18,193.97
Therefore, there is more money in the emergency fund when it is compounded monthly as the compounding frequency is greater (interest is earned on both the principal and the interest, so the more frequent the compounding periods are, the more interest is earned).
The general rule about compounding in exponential functions is the higher the number of compounding periods, the greater the amount of compound interest.
In terms of compounding interest in investment:
The annual interest rate should be divided by the compounding frequency, and the exponent should be multiplied by the compounding frequency.For every 4 girls in Mr Hegarty's class there are 5 boys. What is the ratio of boys to girls in the class?
Give your answer in its simplest form.
Answer:
5:4
Step-by-step explanation:
girls = 4
boys = 5
ratio = boys:girls = 5:4
HOPE THIS HELPED
3. Jonny has 12 pairs of shoes, some are Nike and some are Adidas. He has 6 more pairs of Nikes than Adidas shoes. How many pairs of each shoe brand does he have?
Step-by-step explanation:
let addicts be x and Nike be x+6
so ,
x+x+6=12
or,2x=6
or x=-3
now x+6=3+6=9
therefore he had 9 Nike and 3 Adidas
What is a 2 factor graph theory?
In graph theory, a 2-factor is a subgraph of a given graph that includes every vertex of the original graph and has the property that every vertex has even degree (i.e. degree is a multiple of 2).
The term "2-factor" is used because it is a factor of the original graph that is made up of edges and every vertex has degree 2.
A 2-factor can also be defined as a set of cycles that cover all vertices of the graph. In other words, it is a collection of cycles such that every vertex belongs to exactly one cycle. A 2-factor can also be thought of as a cycle cover of a graph.
A graph that has a 2-factor is called a 2-factorizable graph. Not all graphs are 2-factorizable, for example a graph with an odd number of vertices can't have a 2-factor.
2-factors have many applications in various fields such as scheduling, coding theory, and computer science. They are also used to study the connectivity and robustness of graphs.
To know more on graph theory
https://brainly.com/question/29538026
#SPJ4
Rewrite the following equations in the form y = mx + b.
8x + 2y = 10
12x - 3y = -25
Answer:
8x + 2y = 10 ==> y = -4x + 5
12x - 3y = -25 ==> y = 4x + 25/3
Step-by-step explanation:
8x + 2y = 10 ==> solve for y
2y = 10 - 8x ==> subtract 8x on both sides
(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y
y = 5 - 4x ==> simplify
y = -4x + 5 ==> put the equation in y=mx+b form
12x - 3y = -25 ==> solve for y
12x = -25 + 3y ==> make y positive by adding 3y on both sides
12x + 25 = 3y ==> add 25 on both sides to isolate y
(3y = 12x + 25) / 3 ==> divide the equation by 3 to make 3y into y
y = 4x + 25/3 ==> simplify
a doctor would like to estimate the mean difference in the number of hours of sleep for seniors in high school and seniors in college. to do so, he selects a random sample of 50 high school seniors from all high schools in his county. he also selects a random sample of 50 seniors from the colleges in his county. he would like to construct a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. are the conditions for inference met?
No, the conditions for inference have not been met. The two samples must be independent, meaning that the individuals in the college sample should not also be in the high school sample. Without independent samples, it is not possible to construct a 95% confidence interval for the true mean difference.
1. Collect data from the two samples of seniors in high school and college.
2. Calculate the mean difference in the number of hours of sleep for the two samples.
3. Calculate the standard deviation of the differences in hours of sleep for the two samples.
4. Calculate the standard error of the mean difference.
5. Calculate the critical value for a 95% confidence interval.
6. Calculate the lower and upper bounds of the confidence interval by
adding and subtracting the critical value from the mean difference.
7. Interpret the confidence interval to determine the true mean difference in the number of hours of sleep for seniors in high school and colleg
Learn more about confidence interval here
https://brainly.com/question/24131141
#SPJ4
How many 2 1/7 inch pieces of thread can be
cut from a spool with 8 3/4 inches of thread?
A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.
How many pieces of thread can be cut ?In light of the conditions stated, come up with: [tex]$\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$[/tex] To improper fractions, change the mixed numbers to: [tex]$\frac{\frac{35}{4}}{\frac{15}{7}}$[/tex] Multiply the reciprocal of a fraction to get its division: [tex]$\frac{35}{4} \times \frac{7}{15}$[/tex]
Mark this common element as a no-go: Multiplying [tex]$\frac{7}{4} \times \frac{7}{3}$[/tex] Mark the common element as absent: Multiplying [tex]$\frac{7 \times 7}{4 \times 3}$[/tex] . Put the following in one fraction : [tex]$\frac{49}{12}$[/tex] . The product or quotient should be
calculated.Find the biggest number that is greater than [tex]$\frac{49}{12}$[/tex] and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.
To learn more about thread refer to :
https://brainly.com/question/2733060
#SPJ1
write the ratio in simplest form 1. 30 treadmills to 36 elliptical machines / 2. 180 red marbles to 145 blue marbles / 3. in the word flashlight what is the ratio of vowels to total letters? /
The ratio in simplest form in the three cases is 5 : 6, 36 : 29 and 1 : 5.
30 treadmills to 36 elliptical machines can be simplified to 5 treadmills to 6 elliptical machines. To simplify, you can divide both numbers by their greatest common factor, which in this case is 6.
30/6 = 5 and 36/6 = 6
So 30 : 36 = 5 : 6
180 red marbles to 145 blue marbles can be simplified to 12 red marbles to 11 blue marbles. To simplify, you can divide both numbers by their greatest common factor, which in this case is 5.
180/5 = 36 and 145/5 = 29
180 : 145 = 36 : 29
In the word "flashlight", the ratio of vowels to total letters is 2:8. The word "flashlight" has 2 vowels (a,i) and 10 total letters. To simplify divide by 2.
2 : 10 = 1 : 5
To know more on ratio
https://brainly.com/question/29087750
#SPJ4
