the number of messages that arrive at a web site is a possion distirbuted random variable with a mean of 5 messages per hour. round your asnwers to four decimal places. what is the probaiblity taht 5 messages are received in 1 hour

Answers

Answer 1

17.54% is the probability that 5 messages are received in 1 hour.

The chance that X reflects the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P(X = x) = ([tex]e^{-u}[/tex] × [tex]u^{x}[/tex]) ÷ x!

In where x is the number of successes, e is the Euler number, and u is the mean in the specified time frame.

In this case, the average message rate is 5 messages per hour.

The probability of receiving 5 texts in one hour.

Determine the value of P for x = 5 and u = 6.

P(X = x) = ([tex]e^{-5}[/tex] × [tex](5)^{5}[/tex]) ÷ 5!

P(X = x) = 21.0560 ÷ 5!

P(X = x) = 0.1754

There is a 17.54% chance that 5 messages will be received in 1 hour.

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Related Questions

help pls i don’t understand and don’t know which option topick

Answers

Answer: C

Explanation:

The range of a function is the set of all values of y that satisfy the function. On the graph, it is between the lowest value of y at the bottom and the highest value of y at the top. Looking at the graph, it extends to negative infinity at the bottom and the maximum value at the top y = 4

Thus, in interval notation,

Range = (- ∞, 4]

RS has endpoints R(3, 5) and S(–3, –1). Which statement explains whether the midpoint M of lies on the y-axis?

M = = (4, –2) does not lie on the x- or y-axis because neither coordinate is zero.
M = = (3, 3) does not lie on the x- or y-axis because neither coordinate is zero.
M = = (2, 0) lies on the y-axis because the y-coordinate is zero.
M = = (0, 2) lies on the y-axis because the x-coordinate is zero.
Mark this and return

Answers

Step-by-step explanation:

M = (0, 2), and it lies on the y-axis, because the x-coordinate is 0.

by the way, the first 2 answer options are correct statements too, they are just not specifying the actual midpoint.

Answer:d

Step-by-step explanation:edge2023

Finnegan wants to buy a sweater for $29.50 and jeans for $42.50. If the sales tax rate is 8.25%, what will be the amount of sales tax on Finnegan’s purchase?

Answers

The amount of sales tax on Finnegan's purchase is $5.94

How to calculate the amount of sales tax on the purchase ?

The first step is to calculate the total amount of purchase

Sweater- $29.50

Jeans- $42.50

Total amount

29.50 + 42.50

= 72

The sales tax rate is 8.25%

The amount of sales tax on the purchase can be calculated as follows

8.25/100 × 72

= 0.0825 × 72

= 5.94

Hence the sales tax on the total purchase is $5.94

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Given h(x) = − 4x − 4, solve for x when h(x) = −8.

Answers

h(-8)= -4(-8)-4
h(-8)= 32-4
h(-8)=28

Holly wants to buy a new house in Cardiff.
She knows that Land Transaction Tax will be added to the price of the house.

Land Transaction Tax rates are shown below:
• pay nothing on the first £180000 of the price of the house,
• pay 3·5% on the part of the price of the house that is above £180000 and up to and including £250000,
• pay 5% on the part of the price of the house that is above £250000 and up to and including £400000.

The most Holly can afford to spend, including Land Transaction Tax, is £327000.

Let x be the highest price of house that Holly can afford.
Write an equation in x and solve it to calculate the highest price of house that Holly can afford.

Answers

Answer:

321000

Step-by-step explanation:

The highest price of house that Holly can afford is £343350.

What is tax?

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Given that, Holly can afford to spend, including Land Transaction Tax, is £327000.

Here, the tax rate is 5% because that is above £250000 and below £400000.

Let x be the highest price of house that Holly can afford.

x= 327000+5% of 327000

x= 327000+5/100 ×327000

x= 327000+0.05×327000

x= £343350

Therefore, the highest price of house that Holly can afford is £343350.

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Gigi is going to buy 100 stickers.
Here is some information about the cost of stickers in two shops.
Stickers4u
World Stationery
Pack of 25 stickers for £2.25
Pack of 10 stickers for £1.75
Buy 1 pack get 1 pack 1 free
Gigi wants to buy the stickers for the best possible price.
Which shop should Gigi buy the 100 stickers from?
You must show how you get your answer.
Answer:

Answers

Buying from World Stationery shop would profit Gigi.

How to find the most profitable shop?

Given,

Gigi is going to buy 100 stickers.

Stickers4u - Pack of 25 stickers for £2.25

World Stationery - Pack of 10 stickers for £1.75

Buy 1 pack get 1 pack 1 free

Solution:

Cost of 1 sticker in Stickers4u = £2.25/25 stickers = £0.09

Cost of 1 sticker in World Stationery = £1.75/ 10 stickers = £0.175

Since it is mentioned, 'Buy 1 pack get 1 pack 1 free' in this shop, the total no of stickers one would get for the price would be doubled.

Hence,

Cost of 1 sticker in World Stationery would be = £1.75/ 20 stickers = £0.0875

On comparing the price per sticker of both the shops, we can say that

buying from World Stationery shop would profit Gigi.

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(50 points) Show that x+2 is a factor of p(x)=[tex]x^4+2x^3+4x^2+x-14[/tex]. Then write p(x) as the product of x+2 and another factor. Please show work.

Answers

Answer:

Let p(x)=x

3

−4x

2

−2x+20

By factor theorem, (x+2) is a factor of p(x) if p(−2)=0.

∴ It is sufficient to show that (x+2) is a factor of p(x)

Now, p(x)=x

3

−4x

2

−2x+20

∴p(−2)=(−2)

3

−4(−2)

2

−2(−2)+20=−8−16+4+20=0

∴(x+2) is a factor of p(x)=x

3

−4x

2

−2x+20

Manuela also invests $640.
At the end of 4 years, Manuela has $721.
Find the yearly compound interest rate.

Answers

The yearly compound interest rate of $640 at the end of 4 years would be; 3.07

How to calculate compound interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The final amount becomes as;

[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

Given that Manuela invests $640. At the end of 4 years, Manuela has $721. then the  yearly compound interest rate will be;

[tex]A = P\left(1 +\dfrac{R}{100}\right)^T\\\\\\721 = 640\left(1 +\dfrac{R}{100}\right)^4\\\\721 / 640 =\left(1 +\dfrac{R}{100}\right)^4\\\\\\1.12 = \left(1 +\dfrac{R}{100}\right)^4\\\\\\\sqrt[4]{1.12} = \left(1 +\dfrac{R}{100}\right)\\\\\\R = 3.07[/tex]

Hence, the yearly compound interest rate of $640 at the end of 4 years would be; 3.07

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find X. would love the help thank you

Answers

Answer:

120

Step-by-step explanation:

x + the angle = 180 because it makes a line

we know from the picture that the triangle is equilateral so the angle has to be 60

so 180 = x + 60 and solve for x

The angles inside a triangle must add up to 180°.
They are all equal, so you can divide 180/3.

Each angle is 60°.

To find x, you'll see there is a line extending out. That whole line is 180°.

60° + x = 180°

That should give you x = 120°.

Hope it helps!

In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who has a sister also has a brother?

Answers

If In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. The probability that a student who has a sister also has a brother is: 3/10.

Determining the probability

Given data:

Total number of student = 30

Brother = 13

Sister = 8

Brother and sister = 3

Now let determine the probability that  a student has brother and sister using this formula

P ( S n B ) = Brother and sister  / Total number of student

Let plug in the formula

P ( S n B ) = 3/30

Therefore we can conclude that 3/30 is the probability.

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Answer:

3/8

Step-by-step explanation:

A ball is thrown upward from the top of a building that is 160 feet tall. The height, H, of the ball T seconds after being thrown is given by the equation H = -16t^2 + 48t + 160.

After how many seconds will the ball hit the ground?

a. 2
b. 3
c. 5
d. 10

Answers

Answer:

10

Step-by-step explanation:

because 10 is 10 gsjivfhnvv thkgfhlmbbbctb. chvjlff ijvvgjvjvivcujc vidyalay Chrissy full good Zo of up b and b go in the editor and the editor and the general of words typist and I am a bit of a person to you tomorrow to you tomorrow to appeal to utha kar raha hai toto b go on vgn de un BBC d.

-35 represents the starting location of a race car that is 35 yards behind the starting line. 35 represents the ending location of a race car that is 35 yards in front of the starting line

Answers

As shown in the number line, The total distance of the racing road is 70 yards.

it is given that the starting location is -35 yards behind the starting line and the ending location of the race court is 35 yards in front of the starting line.

we have to draw a Number line that has -35 and +35 so the origin of that number line is the starting point of the race court.

In the above figure if we are moving forward towards the origin we find that we are moving 35 yards in the number line, after reaching the origin of the number line move forward again 35 yards then we are at the ending location of the racing court.

So,

35 yards + 35 yards = 70 yards

The total racing area of the cars is = 70 yards.

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Select all the expressions which are equivalent to –3(0.15 – 0.2 + 0.25p).
A. –0.45 – 0.6 + 0.25p
B. 0.15 – 0.75p
C. 3(0.15 + 0.2 + 0.25p)
D. –3(–0.05 + 0.25p)
E. –3(0.05 + 0.25p)
I need help ASAP.

Answers

Answer:

–3(0.15 – 0.2 + 0.25p) is equivalent to –3(-0.05 + 0.25p) and 0.15 – 0.75p

The expression that’s equivalent is 3(0.15+0.2+025p)

is the number 19 a prime or composite number

Answers

Answer:

prime

Step-by-step explanation:

because 19 can only divide 1 and itself

Prime because 9 is divisible by 1

$m\angle U=2x\degree$ , and $m\angle V=2\left(m\angle U\right)$ . Find the value of $x$ that makes $\angle U$ and $\angle V$ complementary angles

Answers

The value of x that makes ∠U and ∠V a complement of each other is; x = 9

How to find Complementary Angles?

There are different equal angle theorems in math's such as complementary angles, supplementary angles, linear pairs e.t.c

Now, complementary angles are defined as angles that sum up to 90 degrees.

We are given that;

m∠U = 2x°

m∠V = 4m∠U = 4(2x)°

We want to find the value of x that makes ∠U and ∠V a complement of each other.

This means that by the definition of complementary angles, they will sum up to 90 degrees. Thus;

2x + 4(2x) = 90

2x + 8x = 90

10x = 90

x = 90/10

x = 9

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Complete question is;

m∠U = 2x°, and m∠V = 4m∠U. Which value of x makes ∠U and ∠V complement of each other? A. 25 B. 9 C. 36 D. 18

A truck travels some distance at a speed of 35 km h in 120 min and the remaining distance at a speed of 48 km h in 90 min. Determine the: (a) total distance covered. (b) average speed over the entire journey​

Answers

Answer:

a) 142 km,b) 40.57 km/h

Step-by-step explanation:

Use of formula:

speed = distance / timedistance = speed × time

a) Find each part of distance and add together. Convert minutes to hours.

35 × (120/60) = 35 × 2 = 70 km,48 × (90/60) = 48 × 1.5 = 72 km

distance = 70 + 72 = 142 km

b) Average speed is:

speed = 142 /(2 + 1.5) = 142/3.5 = 40.57 km/h (rounded)

Answer:

(a)  142 km

(b)  40.57 km/h (2 d.p.)

Step-by-step explanation:

Part (a)

[tex]\boxed{\sf Distance=Speed \times Time}[/tex]

Given:

Speed = 35 km/hTime = 120 min = 2 h

Substitute the given values into the distance formula to find the distance travelled:

[tex]\implies \sf Distance = 35 \times 2 = 70\;km[/tex]

Given:

Speed = 48 km/hTime = 90 min = 1.5 h

Substitute the given values into the distance formula to find the distance travelled:

[tex]\implies \sf Distance = 48 \times 1.5 = 72\;km[/tex]

Therefore, the total distance travelled is:

[tex]\implies \sf 70 + 72 = 142 \; km[/tex]

Part (b)

[tex]\boxed{\sf Average\;speed=\dfrac{Total\;distance}{Total\;time}}[/tex]

Given:

Total distance = 142 kmTotal time = 2 + 1.5 = 3.5 h

Substitute the given values into the average speed formula to find the average speed over the entire journey:

[tex]\implies \sf Average\:speed=\dfrac{142}{3.5}=40.57\;km/h\;(2\;d.p.)[/tex]


A triangle is dilated with a center of dilation at the origin. Point P' is the corresponding point of the image of the dilation. Point P is at (-2,3) and P' is at
(-8,12). What is the scale factor?


Answers

The scalar factors are (4,4)

What is dilation?

Dilation is a type of transformation in which a shape or geometric figure's size is altered while maintaining its relative proportions and general shape.

Dilation is applied by the rule:

(x, y) → (kx, ky), where k is the scale factor

We have

(x, y) = (-2, 3) and (kx, ky) = (-8, 12)

Substitute and solve for k

-8 = -2k and 12 = 3k  ⇒ k = 4

So the rule is

(x, y) → (4x, 4y)

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Select the sequence that shows the numbers in order from least to greatest.
A. √72, 321-41
5
c. 32. √72.1-41
C.
5
B. |–-41, 32 √72
32
D. √72,|-41, ³²
5

Answers

The sequence that shows the numbers in order from least to greatest is

√72 , 5,32, |-41|

What is basic algebra ?

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc.

√72 = 8.485

32

|-41| = 41

5

least to greatest is √72 , 5,32, |-41|

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3(3v - 4) = 51 solve for v simplify your answer as much as possible

Answers

v = 7

see steps below:

Answer: v = 7

Step-by-step explanation:

1. Distribute

3 (3v - 4) = 51

9v - 12 = 51

2. Add 12 to both sides

9v - 12 = 51

+ 12         + 12

3. Cancel out 12 + 12

51 + 12 = 63

9v = 63

4. Divide 9 on both sides

9v/9 = 63/9

5. Cancel out 9v/9

v = 7

A line with a slope of 3/4 and containing the point (0,2)

Answers

An equation of line with a slope of 3/4 and containing the point (0,2) is y = (3/4)x + 2

In this question, we have been given

slope (m) = 3/4

and a point (0, 2)

We need to find an equation of a line with a slope of 3/4 and containing the point (0,2)

Using the formula for the slope-point form of equation of line,

y - y1 = m(x - x1)

y - 2 = 3/4(x - 0)

y - 2 = (3/4)x

y = (3/4)x + 2

Therefore, an equation of line with a slope of 3/4 and containing the point (0,2) is y = (3/4)x + 2

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Expand the brackets and simplify the
expression below.
8(3y + 2) + 4y

Answers

Answer:

28y+16

Step-by-step explanation:

8(3y+2)+4y

24y+16+4y

28y+16

The simplification of the given expression is 28y+16.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

We are given an expression as;

8(3y+2)+4y

we need to solve the expression

First open the bracket;

24y+16+4y

Solve the like terms;

28y+16

Therefore, the simplification of the given expression is 28y+16.

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Evaluate the expression.

4−32⋅(−0.25)−12÷1/3

Answers

Answer:

Step-by-step explanation:

4

Draw the graph of your= 2x +1

Answers

The graph of the equation y = 2x+1 has been plotted

The equation of the line is

y = 2x+1

The domain is defined as the set of all possible inputs of the function.

The range is defined as the set of all possible outputs of the function

Here the equation is y =2x+1, we have to substitute the different values for the x and find the values of y.

The values of the x will be the domain and the values of the y will be the range

At x= -2

y = 2(-2)+1

= -3

At x= -1

y = 2(-1)+1

= -1

At x= 0

y = 2(0)+1

= 1

At x=1

y = 2(1)+1

= 3

At x=2

y = 2(2)+1

= 5

Plot the graph using the values

Hence, the graph of the equation y = 2x+1 has been plotted

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helppp ... see picture
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.

x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction

What is Tyler’s error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.
The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.

Answers

The Tyler’s error is Both powers should be in the denominator with positive exponents.

what is exponents?

The exponent of a number shows how many times the number is multiplied by itself.

For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general,  [tex]x^n[/tex]means that x is multiplied by itself for n times.

given:

[tex]x^{-3} y^{-9}[/tex] = 1/x³ × [tex]1/ y^{-9}[/tex]

As, we know using the law of exponents

[tex]a^{-m} = 1/a^m[/tex]

So, [tex]x^ {-3} = 1/[/tex]x³

and, [tex]y^{-9}[/tex] = [tex]1 / y^9[/tex]

Then, we can write

[tex]x^{-3} y^{-9}[/tex] = 1/x³ × [tex]1/ y^{9}[/tex]

Hence, Both powers should be in the denominator with positive exponents.

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Matthew wants his run today to take no more than 90 minutes. He already has run 30 minutes at a pace of 10 minutes per mile.

Part A)
Write an inequality that Matt could solve to find out how many more miles he can run if he keeps his current pace. Show or explain the reasoning you used to determine your answer.

Answers

The inequality for the given situation is m ≤ 6.

Given that, Matthew wants his run today to take no more than 90 minutes and he already has run 30 minutes at a pace of 10 minutes per mile.

What is the inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Let the number of miles be m.

m  ≤  90/10 - 30/10

m  ≤  9 - 3

m ≤ 6

Therefore, the inequality for the given situation is m ≤ 6.

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Solve the quadratic equation.
x² + 9x - 36 = 0
O A. x = 3 or 12
OB. x = 3 or -12
O C. x = 6 or -6
OD. no real solution

Answers

Answer:

B x = 3 or -12

Step-by-step explanation:

(btw this / is a fraction sign and this ^ is the power of sign)

Let's solve your equation step-by-step.

x^2+9x−36=0

For this equation: a=1, b=9, c=-36

1x^2+9x+−36=0

Step 1: Use quadratic formula with a=1, b=9, c=-36.

x= −b±√b^2−4ac/2a

x= −(9)±√(9)2−4(1)(−36)/2(1)

x= −9±√225/2

= x= 3 or x= -12

g(x)=5x+50 answer please

Answers

The answer to the linear equation g(x) = 5x+50 is plotted on the graph.

What is a linear equation?A linear equation is one in which the variable's maximum power is always one.A one-degree equation is another term for it.A linear equation in one variable takes the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this equation.

Given equation:

g(x)=5x+50

The equation can also be written as y = 5x+50.

Now, we can replace the value of x for different numbers in the given equation to get the value of y to create the coordinates.

When we put x = 0 in the equation, we get y = 0 + 50 = 50.

Similarly, if we substitute the value of x as 1 in the equation, we get y = 5(1) + 50 = 55.

If we substitute the value of x as 2, y = 5(2) + 50 = 60

If we substitute the value of x as -1 and -2, we get the value of y as,

y = 5(-1) + 50 = 45 and  y = 5(-2) + 50 = 40.

These pairs of values satisfy the linear equation and are plotted on the graph given below.

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1. The reduced fraction or mixed number for 375%

Answers

Answer:

the answer is shown below for the reduced fractional mixed number for 385 percentage

Step-by-step explanation:

Steps to Convert 375% to Fraction

Place the Percentage Value at the top over 100. The exact form of the fraction is 154. In the decimal form, the fraction can be written as 3.75. In the Mixed Number form, the fraction can be written as 3 .34.

What type of symmetry does this figure have?

this figure has no symmetry
both rotational symmetry and reflectional symmetry
reflectional symmetry
rotational symmetry

Answers

This  figure has no symmetry is the correct option.

Given:

Given figure is parallelogram ,

The number of lines of symmetry of a parallelogram depends on the type of parallelogram.A non special parallelogram does not have any lines of symmetry. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares and rhombuses.

A rectangle is a parallelogram with four right angles. This property allows it to have two lines of symmetry.

A rhombus is a parallelogram with four equal sides. The number of lines of symmetry of a rhombus depends on whether it is a square or not. If it has four right angles, the rhombus is a square and thus has four lines of symmetry. If not, the rhombus only has two lines of symmetry.

Therefore this  figure has no symmetry is the correct option.

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I need this answer as soon as possible


Note: This is grade 6 maths​

Answers

10.
A gallon = 4 quarts
4 quarts = 4 x 2 = 8 pints.
8 pints = 8 x 16 = 128 (ounces)

So, a gallon equals 128 ounces.

11.
Generally, 2 cups = 1 pint.
-> 4 cups = 2 pint = 1 quart

So, he should (probably) use the entire quart.

12.
Convert all the mixed numbers to fractions, mk.

14(7/9) + 6(5/9)
= 14+6(7/9+5/9) = 20(12/9) = 64/3.

13. 15(11/16) + 21(9/16) = 36(11/16+9/16) = 36(20/16) = 149/4

14. 7(1/2) + 5(1/2) = 12(1/2+1/2) = 13( = 13/1)

15. 17(3/4) - 4(1/4) = 17-4(3/4-1/4) = 13(1/2) = 27/2

16. 23(5/8) - 12(3/8) = 23-12(5/8-3/8) = 11(2/8) = 45/4

17. 27 - 6/8 = 216/8 - 6/8 = 210/8 = 55/2.

Please recheck and if you spot anything wrong tell me.

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Given a metal loop of wire with an area of 400 square centimeters and a magnetic field of 0.0875 Tesla through it. If the magnetic field is constant everywhere through the loop then which of these is the magnetic flux through the loop in SI units? [4. Define magnetic flux] 0.00350 0.0140 286 Which statement is the best summary of the theme in this passage people almost always disappoint their family members Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence?a.36.9c.53.1b.59.0d.31.0 The antibiotic tetracycline targets the 30S ribosomal subunit. B) Explain why this would not kill the cells of the human taking the tetracycline. I need help with this the question reads before the pandemic Corning planned to make 75 millions vials in 2021 due to the vaccine demand Corning will make d times as many vials write an expression to find how many vials Corning will make in 2021 A blank involves refusing to do business with anyone willing to do business with the target country Sabastian Company has 10,000 shares of $100 par, 2% cumulative preferred stock and 50,000 shares of $50 par common stock. The following amounts were distributed as dividends: Year Amount Year 1 $10,000 Year 2 30,000 Year 3 45,000 Determine the dividends per share for preferred and common stock for each year. If required, round your answers to two decimal places. If your answer is zero, please enter "0". The vertices of a figure are F(1, 2), G(3,5),and H(3, 2). Rotate the figure 180 about the origin. Find the coordinates of the image. Divya and Melissa go to a restaurant. They decide to try something they have not eaten before and order chicken sandwiches with sriracha sauce. Both Divya and Melissa find it difficult to eat the sandwiches as they feel the sandwiches are too spicy. Which of the following processes help them identify the spicy taste? What is the most important implication of the four-part processing model for word recognition?. A number is multiplied by 6, and that product is added to 3. The sun is equal to the product of 3 and 11 Excerpt from Federalist Papers, No. 84I go further, and affirm that bills of rights, in the sense and to the extent in which they are contended for, are not only unnecessary in the proposed Constitution, but would even be dangerous. They would contain various exceptions to powers not granted; and, on this very account, would afford a colorable pretext to claim more than were granted. For why declare that things shall not be done which there is no power to do?... Why, for instance, should it be said that the liberty of the press shall not be restrained, when no power is given by which restrictions may be imposed? I will not contend that such a provision would confer a regulating power; but it is evident that it would furnish, to men disposed to usurp, a plausible pretense for claiming that power. ..There remains but one other view of this matter to conclude the point. The truth is, after all the declamations we have heard, that the Constitution is itself, in every rational sense, and to every useful purpose, A BILL OF RIGHTS. The several bills of rights in Great Britain form its Constitution, and conversely the constitution of each State is its bill of rights. And the proposed Constitution, if adopted, will be the bill of rights of the Union. Is it one object of a bill of rights to declare and specify the political privileges of the citizens in the structure and administration of the government? This is done in the most ample and precise manner in the plan of the convention; comprehending various precautions for the public security, which are not to be found in any of the State constitutions. Is another object of a bill of rights to define certain immunities and modes of proceeding, which are relative to personal and private concerns? This we have seen has also been attended to, in a variety of cases, in the same plan. Adverting therefore to the substantial meaning of a bill of rights, it is absurd to allege that it is not to be found in the work of the convention. It may be said that it does not go far enough, though it will not be easy to make this appear; but it can with no propriety be contended that there is no such thing. It certainly must be immaterial what mode is observed as to the order of declaring the rights of the citizens, if they are to be found in any part of the instrument which establishes the government. And hence it must be apparent, that much of what has been said on this subject rests merely on verbal and nominal distinctions, entirely foreign from the substance of the thing.What connection does the author make between the proposed Constitution and the idea of a bill of rights? Use evidence from the passage in your response. Write your answer in the space below. To calculate the heat absorbed or released, you need to measure which of the following?A) Specific heat, change in temperature, and time to heat.B) Mass, specific heat, and change in temperature.C) Mass, volume, and change in temperature.D) Mass, specific heat, and time to heat. 1. Starting with a 0. 1525 m hcl stock solution, three standard solutions are prepared by sequentially diluting 5. 00 ml of each solution to 100. 0 ml. What is the concentration of each solution?. Alvin'sage Is three times Elga's age. The sum of their ages Is 96. What Is Elga's age?years old When your grandmother got out of the hospital, she was so excited that she gave you some money. You decided to go to Canada where the exchange rate is 1.06 Canadian dollars to $1 US dollar as of November 2015. You have $10,000 to take with you. How many Canadian dollars do you have to spend? (Show all work using dimension analysis, round to nearest cent if necessary) What is the slope-intercept equation of the line below?y-intercept = (0, 3)5slope =4 x=0,0.5,1,3,3.5,4,5y= 63,72,75,81,84,90,93calculate the correlation coefficient, r.round answer to the 3 decimal places please help asap during a snow storm the temperature drops from 0 degress f to - 12 degress f in 3 hour. on averge by how many degress is the temperature changing per hour?A, -4fB. 12fC. 15fD. -9f 3/4x = 24/3 fraction ? x = ___ 4/3 = fraction 4/3x = ___ or 2 2/3