MATHEMATICS COLLEGE

Wai recorded the length of each string needed for a knitting project. What is the total length of the string needed?

Answers

Answer 1

Answer:

Answer:

The answer is "14.625 ft"

Step-by-step explanation:

In the given question some information is missing that is attachment of file which can be described as follows:

Add products:

$\rightarrow \ ((1)/(8))* 1+((1)/(4))* 1+((1)/(2))* 3+((3)/(4))*8+(1)*4+1 (3)/(8)* (2)1 (3)/(8) \n\n \rightarrow 11/8\n\n$

$\rightarrow (1)/(8)* 1+((1)/(4))*1+((1)/(2))*3+((3)/(4))*8+(1)*4+(11)/(8)*(2)\n\n$

$\rightarrow ((1)/(8))+((1)/(4))+((3)/(2))+(6)+(4)+(11)/(4)\n\n\rightarrow ((1+2+12+48+32+22)/(8)) \n\n\rightarrow (117)/(8) \n\n \rightarrow 14.625 \ ft \n$

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The value of the Euler \phi function (\phi is the Greek letter phi) at the positive integer n is defined to be the number of positive integers less than or equal to n that are relativel prime to n, For example for n=14, we have {1, 3, 5, 9, 11, 13} are the positive integers less than or equal to 14 which are relatively prime to 14. Thus \phi (14) = 6.Find the following:\phi(9) = __________.\phi(15) = __________.\phi(75) =__________.

Answers

Answer:

$\bf \phi (9)=5$

$\bf \phi (15)=8$

$\bf \phi (75)=40$

Step-by-step explanation:

Positive integers relative primes to 9 which are less or equal than 9

{1,2,4,5,7}

$\bf \phi (9)=5$

Positive integers relative primes to 15 which are less or equal than 15

{1,2,4,7,8,11,13,14}

and

$\bf \phi (15)=8$

Positive integers relative primes to 75 which are less or equal than 75

{1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34,37,38,41,43,44,46,47,49,52,53,56,58,59,61,62,64,67,68,71,73,74}

and

$\bf \phi (75)=40$

Ten students begin college at the same time. The probability of graduating in four years is 63%. Which expanded expression shows the first and last terms of the expression used to find the probability that at least six will graduate in four years?

Answers

The first and last terms of the expanded expression for the probability that at least six students will graduate in four years are:

First term: $C(10, 6) * (0.63)^6 * (1 - 0.63)^4$

Last term: $C(10, 10) * (0.63)^(10) * (1 - 0.63)^0$

To find the probability that at least six students will graduate in four years, we can use the binomial probability formula.

The first and last terms of the expanded expression for this probability can be determined using the binomial coefficients.

The binomial probability formula is given by:

$P(X \geq k) = C(n, k) * p^k * (1 - p)^{(n - k)$

Where:

P(X ≥ k) is the probability that X is greater than or equal to k,

n is the number of trials (students in this case),

k is the desired number of successes (six or more students graduating),

p is the probability of success in a single trial (probability of graduating in four years).

In this case, the number of trials (n) is 10, and the probability of success (p) is 0.63.

To find the first term, we substitute k = 6 into the formula:

$P(X \geq 6) = C(10, 6) * (0.63)^6 * (1 - 0.63)^{(10 - 6)$

C(10, 6) represents the binomial coefficient, which can be calculated as:

C(10, 6) = 10! / (6! * (10 - 6)!)

To find the last term, we substitute k = 10 into the formula:

$P(X \geq 10) = C(10, 10) * (0.63)^(10) * (1 - 0.63)^{(10 - 10)$

C(10, 10) = 10! / (10! * (10 - 10)!)

Hence, The first and last terms of the expanded expression for the probability that at least six students will graduate in four years are:

First term: $C(10, 6) * (0.63)^6 * (1 - 0.63)^4$

Last term: $C(10, 10) * (0.63)^(10) * (1 - 0.63)^0$

To learn more on probability click:

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Since this is dealing with binomial you do something like this

) A patient drank 12 ounces of orange juice. How many milliliters did the patient drink?

Answers

Answer:

He drank 354.882 mills of orange juice

Step-by-step explanation: One ounce is equal to 29.5735 mills, so you multiply 29.5735 by 12

Answer: 355 Millileters

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

Step-by-step explanation:

Slope is positive 2 so we have to move 1 point right and 2 points up.

Secondly y-intercept is -6 so ,point is (0,-6)

What is the total? Add those together.

Answers

Answer:

whats the whole question

Step-by-step explanation:

* You see a pair of jeans on sale for 10% off the regular price of $50. You have a credit card with a 1396 interest rate. If you buy the jeans today with the credit card and pay them off after two months, are you paying more or less than the regular $50 price for them? Please explain your decision and SHOW your calculations.

Answers

I got 65.8 and I did 12x16/5=68.5
Hoped this helped:)

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