Why are unit fractions important?

Answers

Answer 1

Answer:

Unit fractions play an important role in modular arithmetic, as they may be used to reduce modular division to the calculation of greatest common divisors. Specifically, suppose that we wish to perform divisions by a value x, modulo y. In order for division by x to be well defined modulo y, x and y must be relatively prime.

Step-by-step explanation:


Related Questions

Graph and show work hurry plsss
y=179x
Y=105x+2046

Answers

Answer:

y=179x

Y=105x+2046

Step-by-step explanation:

Solve for d.
d + 67 = 87
р
Submit

Answers

Answer:

[tex]d=20[/tex]

Step-by-step explanation:

[tex]d+67=87[/tex]

Subtract 67 from both sides

[tex]d=20[/tex]

Hope this is helpful

Answer:

d = 20

Step-by-step explanation:

Which expression entered into a graphing calculator will return the probability
that 35 or fewer heads come up when flipping a coin 100 times?
A. binomcdf(35, 100, 0.5)
B. binomcdf(100, 0.5, 35)
C. binomcdf(100, 35, 0.5)
O D. binomcdf(35, 0.5, 100)

Answers

Answer:

B. binomcdf(100, 0.5, 35)

Step-by-step explanation:

Binomcdf function:

The binomcdf function has the following syntax:

binomcdf(n,p,a)

In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.

35 or fewer heads come up when flipping a coin 100 times.

100 coins are flipped, which means that n = 100.

Equally as likely to be heads or tails, so p = 0.5

35 or fewer heads, so a = 35.

Then

binomcdf(n,p,a) = binomcdf(100,0.5,35)

The correct answer is given by option B.

A sphere with a volume of 1200 cm³ is dilated by a factor of 3/5.

The volume of the dilated image is ___ cubic centimeters.

Answers

Answer:

259.2 cm³

Step-by-step explanation:

The volume of the dilated image is

(3/5)³ × 1200= 27/125 × 1200

= 259.2 cm³

Due today.. I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.​

Answers

Answer:

Y = -0.3587+0.09118X

92 %

Step-by-step explanation:

Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :

Ŷ = -0.3587+0.09118X

Where, x = test score ; y = hours of sleep

To obtain the test score of a student who sleep foe 8 hours using the model :

Y = 8

Ŷ = -0.3587+0.09118X

8 = -0.3587+0.09118X

8 + 0.3587 =0.09118X

8.3587 = 0.09118X

X = 8.3587 / 0.09118

X = 91.672515

X = 92 ( approximately)

Anyone know these answers

Answers

Answer:

Step-by-step explanation:

At Downunder Farms, Jamie is packing kiwi fruit in shipping crates. Each tray
holds 58 kiwis, and he can put 6 trays in a crate. How many kiwis does the
crate contain when it is full?
A. 64 kiwis
B. 290 kiwis
C. 348 kiwis
D. 174 kiwis

Answers

Answer:

348 kiwis

Step-by-step explanation:

Jamie is packing Kiwie fruits into a tray

Each tray holds 58 kiwis

He can put 6 trays in a crate

Hence when the craye is full the number of kiwis it will contain can be calculated as follows

°= 58×6

= 348 kiwis

If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.

Answers

Answer:

The answer is "Option B".

Step-by-step explanation:

Please find the complete question in the attached file.

The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]

Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]

Answer:

its A i used his answer and got it wrong

A text message plan costs $2 per month plus $0.49 per text. Find the monthly cost for x text messages.
The monthly cost of x messages is
dollars.
(Use integers or decimals for any numbers in the expression.)

Answers

9514 1404 393

Answer:

 2 + 0.49x

Step-by-step explanation:

The total monthly cost is the sum of the fixed cost ($2) and the message charges ($0.49 × number of messages).

The monthly cost of x messages is 2+0.49x dollars.


Solve the inequality: 7x + 5 > 2. - 35 Show all work on the "Scratch pad".

Answers

7x + 5 > 2 - 35
7x + 5 > -33
7x > -33 - 5
7x > -38
⁷x/₇ > −³⁸/⁷
x > −³⁸/₇

each exterior of a regular polygon is 30 degree find the sum of interior angles of the polygon​

Answers

Step 1: 360÷30(exterior angle)= 12 sides

Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)

Test: 1800÷ 12 sides= 150 ( 1 interior angle)

Find the perimeter of the figure.

Answers

Answer:

A) 60

Step-by-step explanation:

P = 5+5+11+9+(5+11)+(9+5)

P = 60

Answer:

A. 60 m

Step explanation:

Perimeter for the small cube

5+5+5+5=20

Perimeter for the rectangle

9+9+11+11=40

Add 20 plus 40 to find the perimeter for the whole shape

20+40=60

Hope this helps

PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.​

Answers

The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].

What is trigonometric ratio?

Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.

How to find value?

We have to find the value of cos (13π/8).

We have to use formula which is following:

cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]

=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex]   (π=[tex]π[/tex])

=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]

=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]

=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]

=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]

=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]

Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].

Learn more about trigonometric ratios at https://brainly.com/question/24349828

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cindy scored 56 more marks than betty in a science test. If their total score was 160 calculate cindy's score

Answers

Answer:

108

Step-by-step explanation:

c = b + 56

c + b = 160

Substitute for c

(b + 56) + b = 160

2b + 56 = 160

2b = 104

b = 52

c = 52 + 56 = 108

HELP !!

A circular pizza has been cut into 15 equal size pieces how many degrees is the angle from one piece

Answers

Answer:

24°

Step-by-step explanation:

360/15 = 24

The quotient of 4/1/2

Answers

Answer:

the quotient is 2

Step-by-step explanation:

4/1=4

4/2=2

Two trains leave a train station at the same time. One travels north at 12 miles per hour. The other train travels south at 9 miles per hour. In
how many hours will the two trains be 88.2 miles apart?
O 4.7 hours
O 4.2 hours
O 2.1 hours
O 8.4 hours

Answers

Answer:

4.2 hours

Step-by-step explanation:

One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False

Answers

The answer is true xxxxxx

225 ft2
81 ft2

Three squares are joined below at their vertices to form a right triangle. Find X, the side
length of the square marked in the diagram.

12 feet

144 feet

48 feet

17.5 feet

Answers

Answer:

12 ft

Step-by-step explanation:

we know the areas of the 2 top squares.

the area of a square is simply the square of its side length.

=>

81 ft² means side length is 9 ft.

225 ft² means side length is 15 ft.

these are also 2 of the sides of the right triangle.

the third side we get by using Pythagoras :

c² = a² + b²

with c being the side opposite of the 90 degree angle.

so,

225 = 81 + x²

as x is also the third side of the triangle.

=> 144 = x²

x = 12 ft

A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?

Answers

The store sold 18 cartons of yogurt…6 (1/3) were vanilla, 12 (2/3) were other flavors. If the store sells 48 more cartons of yogurt, you would expect 1/3 of them to be vanilla…1/3 x 48 = 16 cartons vanilla.

5. In the diagram shown below, BC is drawn tangent
to circle OA, and BD is a chord in that circle. If
mBD = 144º, what is mZCBD?
8
(1) 36
(2) 72
(3) 1440
(4) 180°
please help!!!

Answers

9514 1404 393

Answer:

 (2)  72°

Step-by-step explanation:

In this geometry, the angle at the tangent is half the measure of the intercepted arc.

  ∠CBD = (arc BD)/2 = 144°/2

  ∠CBD = 72°

__

Additional comment

Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.

As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.

Which graph represents the function f(x) = –x2 + 5?

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = –x^2 + 5 is that of an upside-down parabola with vertex (0, 5) and x-intercepts (-√5, 0) and (+√5, 0).  Plot the vertex (0, 5) and then draw a smooth curve through it and through the x-intercepts.

The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.

what is quadratic functions ?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero.  Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.

here calculation

The function provided is f(x) =  -x2+5

.... (1) (1)

We must locate the function's graph.

The quadratic function's vertex form is f(x)= a(x-h)2 + k.... (2)

When we compare (1) and (2), we obtain

h=0 , k=5

It denotes that the function's vertex is (0,5).

The values list is

x           y

-2            1

-1            4

0            5

1            4

2           1

Place all ordered pairings on a coordinate plane, and then use a free-hand curve to link them.

The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.

To know more about quadratic functions visit:-

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What is the volume of the cylinder below?
3

Answers

You need to add a picture
I can help but please show us a picture

An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by k(x) = 125x^2 +670x 125 where P= k(x).

Required:
a. Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit
b. The cost of the ice cream cone is too low then the ice cream shop will not make a profit. Determine what the ice cream shop needs to charge in order to break even
c. The profit function for Cold & Creamy (another ice cream shop) is defined by the function g where gx)- k(x-2). Does the function g have at the same maximum value as k?

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that k(x) = -125x² +670x - 125, where x is the charge per cone and P = k(x) is the weekly profit

a) The maximum profit is at P'(x) = 0. Therefore we have to find the derivative of the profit equation and equate it to 0.

P'(x) = k'(x) = 0

k'(x) = -250x + 670 = 0

-250x + 670 = 0

250x = 670

x = $2.68

P = k(2.68) = -125(2.68²) + 670(2.68) - 125 = $772.8

Hence the maximum profit is $772.8 when the price of each ice cream cone is $2.68

b) At break even, the profit is 0. Hence P= k(x) = 0

-125x² + 670x - 125 = 0

x = 5.17 or x = 0.19

Therefore to break even, the price of the ice cream cone needs to be $0.19 or $5.17

c) g(x) = k(x - 2)

g(x) = -125(x - 2)² + 670 (x -2) - 125

Maximum profit is at g'(x) = 0

g'(x) = -250(x-2) + 670

-250(x-2) + 670 = 0

-250x + 500 + 670 = 0

250x = 1170

x = 4.68

g(4.68) = -125(4.68 - 2)² + 670(4.68 -2) - 125 = $772.8

Therefore function g has the same maximum value as function k

Identify factors that influence the significance level and power of a hypothesis test. Which of the following statements is FALSE?

a. Alpha (a) is equal to the probability of making a Type I error.
b. A smaller sample size would increase the effectiveness of a hypothesis test.
c. The probability of rejecting the null hypothesis when the null hypothesis is true is called a Type 1 Error.
d. The power of a hypothesis test is the probability of not making a Type Il error.

Answers

Answer:

b. A smaller sample size would increase the effectiveness of a hypothesis test.

Step-by-step explanation:

A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.

Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.

The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.

Thus the correct option is (b).

Answer:

A smaller sample size would increase the effectiveness of a hypothesis test

Step-by-step explanation:

Write the word sentence as an inequality.
3.2 less than a number t is at most 7.5

Answers

Answer:

[tex]t - 3.2 \le 7.5\\[/tex]

Step-by-step explanation:

Given

Represent as inequality

Taking the statement one at a time

3.2 less than t means: t - 3.2at most, 7.5 means less than or equal to 7.5

So, the inequality is:

[tex]t - 3.2 \le 7.5\\[/tex]

Find the equation of the line through (2,4) and (3,-1)

Answers

y=23x+143 hope this helps

Answer:

y = -5x+14

Step-by-step explanation:

slope formula

y-y divided by x-x

4-(-1) / 2-3

5/-1 or -5

substitute into y = mx + b

4 = -5(2) + b

b = 14

Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25

Answers

Answer:

       

Step-by-step explanation:

surface area = 4πr^2
Volume = 4πr^3/3
S/V ratio = 4πr^2 / (4πr^3/3)
= 3/r
answer 1.67 C

Help please please please

Answers

Answer:

demographic

Step-by-step explanation:

is it possible to make a triangle with measure of 3mm 9mm and 5mm​

Answers

Answer: No

Step-by-step explanation: if you mean the measure of a is 3, the measure of b is 9 and the measure of c is 5, c being the hypotenuse then the answer is no because the the sides of a and b must be less than the measure of c. If 5 wasn’t the hypotenuse then the answer would be different.

(KEEP IN MIND THAT IF 9 IS THE HYPOTENUSE THEN THE ANSWER IS YES)

Hope this helps! :)

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