PLEASE HELP!! I WILL MAKE BRAINLIST!

What is the five number summary for the data: 2, 2, 4, 4, 5, 5, 6, 7, 9, 15 ?

Answers

Answer 1

Answer:

2, 4, 5, 7, 15

Step-by-step explanation:

Given

Data: 2, 2, 4, 4, 5, 5, 6, 7, 9, 15

Numbers are already in ascending order

Lowest value= 2Q1 = 4 (median of first part)Q2 = 5 (median of full data)Q3 = 7 (median of second part)Highest value = 15

So the 5 numbers are

2, 4, 5, 7, 15

Related Questions

what percent of 925is37

Answers

Answer:

4%

Step-by-step explanation:

to find percentage do 37 divided by 925 helps it helps :)

using the formula for calculating the number of communication channels, how many channels would five people require?

Answers

The number of communication channels, 10 channels would five people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 5;

→ x = 5*(5 - 1)/2

     = 5*2

     = 10

The number of communication channels, 10 channels would five people require.

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A certain kind of sheet metal has, on average, 7 defects per 19 square feet. Assuming a Poisson distribution, find the probability that a 34 square foot metal sheet has 8 defects. (rounded to four decimal places)

Answers

Given that the sheet metal has an average of 7 defects per 19 square feet, we can use the Poisson distribution formula to find the probability of 8 defects in a 34 square foot metal sheet.

The Poisson distribution formula is given by:P(X = x) = (λ^x * e^(-λ))/x!where λ is the average number of defects, x is the number of defects, and e is the base of the natural logarithm. For this problem, λ = (7/19) * 34 = 12.63 and x = 8. Plugging these values into the formula, we get:P(X = 8) = (12.63^8 * e^(-12.63))/8!P(X = 8) = (5428582.85 * 0.000281)/40320P(X = 8) = 0.0373Therefore, the probability that a 34 square foot metal sheet has 8 defects is 0.0373, or 3.73%, rounded to four decimal places.

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What is the measure of the missing angle DBA

What is the measure of the missing angle DBA

Answers

Answer: 59
it’s a supplementary angle so it equals 180 degrees and 180-121= 59

A parabola with its vertex at (24,10) and its axis of symmetry parallel to the y-axis passes through point (4,290). Write an equation of the
parabola. Then find the value of y when x = 34.

Answers

Answer:

               Not executable

Step-by-step explanation:

f(x) = a(x - h)² + k      - vertex form of the equation of the parabola with vertex (h, k)

so the equation of parabola with the vertex (24, 10) is  :

f(x) = a(x - 24)² + 10  

the parabola's axis of symmetry parallel to the y-axis and passing through point (4,290) means:  h = 4

4 ≠ 24

That  means you write something wrong in your question.

The lowest common denominator of the fractions
2
3
,
1
4
, and
4
5
is

Answers

Answer:

4,3,5

Step-by-step explanation:

1/4

2/3

4/5

4,3,5

4-3/5


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18,

Answers

Subtract 3 from 30 gets you 27 then subtract 27-3 which equals 24 and so on
Common difference is 3

Find the x-intercept and y-intercept

from the following linear equation:

12x + 30y = 180
x - intercept = ()
y - intercept ()_

Answers

Answer:

x - intercept = (15, 0)

y - intercept = (0, 6)

Step-by-step explanation:

x-int. is when y = 0

y-int. is when x=0

Plug in y = 0 and x = 0 to get intercepts.

FOR X-INT.:

12x + 30(0) = 180

12x = 180

x = 15

x-int. is (15, 0)

FOR Y-INT. :

12(0) + 30y = 180

30y = 180

y = 6

y-int. is (0, 6)

y=5/16(x - 1)(x - 9)

y=5/16(x - 1)(x - 9)

Answers

Answer:

y=5/16x+-45/16

Step-by-step explanation:

The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.

Answers

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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transportion Eng
[30 Marks] Q1: The traffic on the design lane of a proposed four-lane rural interstate highway consists of 6% trucks. If classification studies have shown that the truck factor can be taken as 0.75 ES

Answers

The traffic volume in one direction for the design lane of the proposed highway is 1 lane.Answer: 1 lane

The traffic on the design lane of a proposed four-lane rural interstate highway consists of 6% trucks, and the truck factor can be taken as 0.75.We need to determine the traffic volume in one direction for the design lane of the proposed highway.

Let the average daily traffic volume in one direction be ADT

Then, the number of trucks in one direction = 6% of ADT

And, the number of passenger cars in one direction

= (100 - 6)%

= 94% of ADT

∴ Number of Trucks = 0.06 ADT

Number of Passenger cars = 0.94 ADT

The equivalent standard axles of trucks = 0.75 ES

∴ Equivalent Standard Axles of Trucks = 0.75 × 0.06 ADT

Equivalent Standard Axles of Passenger cars = 0.05 ES

∴ Equivalent Standard Axles of Passenger cars = 0.05 × 0.94 ADT

Total equivalent standard axles = Equivalent Standard Axles of Trucks + Equivalent Standard Axles of Passenger cars

∴ Total equivalent standard axles = 0.75 × 0.06 ADT + 0.05 × 0.94 ADT

= (0.045 + 0.047) ADT

= 0.092 ADT

Now, the Design lane factor, FL = 0.80

For a four-lane highway, the directional distribution factor,

Fdir = 0.50(As it is not given)

We know that, Volume per lane in one direction,

Q = FL × Fdir × ADT ∕ Number of Lanes

= 0.80 × 0.50 × ADT ∕ 4

(As it is a four-lane highway)

= 0.10 ADTTotal equivalent standard axles per lane in one direction = 0.092 ADT

∴ Total number of lanes required = Total equivalent standard axles ∕ Volume per lane

= 0.092 ADT ∕ 0.10 ADT

= 0.92 or 1 lane (approx)

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The volume of the cone shown is 240 cubic meters. The height of the cone is 5 meters. Find the length of the slant height, x.​

Answers

Answer:

9.4 meters

Step-by-step explanation:

We can use the formula for the volume of a cone:

V = (1/3) * pi * r^2 *h

where V is the volume, r is the radius of the base, and h is the height.

We know the volume and height of the cone, so we can solve for the radius:

240 = (1/3) * pi * r^2 * 5

r^2 = 240 / (pi * 5/3)

r^2 = 45.68

r = sqrt(45.68)

r = 6.76 meters (rounded to two decimal places)

Now we can use the Pythagorean theorem to find the slant height:

x^2 = r^2 + h^2

x^2 = 6.76^2 + 5^2

x^2 = 88.5276

x = sqrt(88.5276)

x = 9.4 meters

The equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop. determine the constant of proportionality. one-sixth 1 6 12

Answers

The constant of proportionality will be 6.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop

We can use the equation of a straight line to represent direct proportionality as -

y = mx + c

for -

c = 0

y = mx

m = y/x

Where [m] as constant of proportionality.

For -

c = 6m

constant of proportionality will be 6.

Therefore, the constant of proportionality will be 6.

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Answer:

YEs tis i, the simplifier

Step-by-step explanation:

its 6

Is ( – 9, – 6) a solution to this system of equations? y= 1/3x – 3 y = – 1/3x –
5

Answers

Step-by-step explanation:

Substitute the point (-9, -6) into the system of equations:

\( - 6 = \frac{1}{3}( - 9) - 3\)

\( - 6 = - \frac{1}{3} ( - 9) - 5\)

Simplify by multiplying and subtracting.

\( - 6 = - 6\)

Correct.

\( - 6 = -8\)

Incorrect.

(-9, -6) is not a solution of the system of equations.

4. Find the first four terms of the Taylor series at \( a=0 \) for \( f(x)=\sin (x) \).

Answers

The answer is 150.

A function f(x) = sin(x). We are supposed to find the first four terms of the Taylor series at \(`a=0`\). Derivatives of the function \(f(x) = sin(x) are:f'(x) = cos(x)f''(x) = -sin(x)f'''(x) = -cos(x)f''''(x) = sin(x)\)

So the Taylor series at\(`a=0` for `f(x) = sin(x)` is as follows:\[\sin (x)=\sin (0)+\cos (0)x-\frac{\sin (0)}{2!}x^2-\frac{\cos (0)}{3!}x^3+\frac{\sin (0)}{4!}x^4\]\)

On evaluating the above expression, we get,

\(\[\sin (x)=0+1\cdot x-0\cdot x^2-\frac{1}{3!}x^3+0\cdot x^4\]\)

Thus, the first four terms of the Taylor series at \(`a=0` for `f(x) = sin(x)` are given as follows:{0, x, 0, - x^3 / 3!, 0, x^5 / 5!...}\)The first four terms are \({0, x, 0, - x^3 / 6}.\)

Hence, the first four terms of the Taylor series at \(`a=0` for `f(x) = sin(x)` is {0, x, 0, - x^3 / 6}.\)

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Roll of the Dice Are the chances of rolling a 3 with one die the same as the chances of rolling a total of 6 with two dice? If not, which has the higher probability ?

Answers

Answer:

The probability is the same.

Step-by-step explanation:

The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.

The answer and explanation

The answer and explanation

Answers

The requried value of 'a' in the given expression is a = -12.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
8⁻⁵⁵ / 8ᵃ = 8⁻⁴³
8ᵃ = 8⁻⁵⁵ / 8⁻⁴³
8ᵃ = 8 ⁻⁵⁵ ⁺ ⁴³
8ᵃ = 8⁻¹²

Taking logs on both sides
a ln 8 = -12 ln 8   [lnbˣ = x lnb]
a = -12

Thus, the requried value of 'a' in the given expression is a = -12.

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Write two numbers that multiply to the value on top and add to the value on the bottom 81and 18

Answers

The two numbers that multiply to 81 and add to 18 are 9 and 9. This is determined either by factoring the number 81 or by solving the algebraic equations derived from the given conditions.

To find two numbers that multiply to 81 and add to 18, we can use factoring or algebraic methods. Let's explore both approaches:

Factoring:

Start by factoring 81 into its prime factors: 3 * 3 * 3 * 3.

Since the two numbers must multiply to 81, we can consider pairs of factors and check if their sum is 18:

Pair 1: 1 * 81 = 81 (sum = 1 + 81 = 82)

Pair 2: 3 * 27 = 81 (sum = 3 + 27 = 30)

Pair 3: 9 * 9 = 81 (sum = 9 + 9 = 18)

Therefore, the pair of numbers that multiply to 81 and add to 18 is 9 and 9.

Algebraic method:

Let's assume the two numbers are x and y.

According to the given conditions, we can write the following equations:

xy = 81 ...(1)

x + y = 18 ...(2)

To solve this system of equations, we can rearrange equation (2) to express one variable in terms of the other:

y = 18 - x ...(3)

Substitute equation (3) into equation (1):

x(18 - x) = 81

Simplifying the equation:

18x - x^2 = 81

Rearrange the equation and set it equal to zero:

x^2 - 18x + 81 = 0

Now, we can factor this quadratic equation:

(x - 9)(x - 9) = 0

The equation yields a repeated factor (x - 9) since both values are the same.

Thus, the solution is x = 9.

Substituting x = 9 into equation (3):

y = 18 - 9

y = 9

Therefore, the pair of numbers that multiply to 81 and add to 18 is 9 and 9.

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Find the area (shaded) and round to the tenths place if necessary.
show work please, I need work for full credit

Find the area (shaded) and round to the tenths place if necessary.show work please, I need work for full

Answers

Answer:

9π - 9

Step-by-step explanation:

Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.

a jury has 12 jurors. a vote of at least 10 of 12 for guilty is necessary for a defendant to be convicted of a crime. assume that each juror acts independently of the others and that the probability that anyone juror makes the correct decision on a defendant is .80. if the defendant is guilty, what is the probability that the jury makes the correct decision? round your answer to 4 decimal places.

Answers

The probability that the jury makes the correct decision that the defendant is guilty is 0.7063.

In order to resolve this issue, we must determine the likelihood that the jury would find the defendant guilty. Let's divide the issue into more manageable components.

We are aware that there is a 0.80 chance that a single juror would choose correctly. If the defendant is found guilty, there is still an 80 percent chance that the jury will reach the right verdict. Consequently, if the defendant is found guilty, there is an 80 percent chance that one jury will reach the right verdict.

The likelihood that at least 10 out of 12 jurors will choose the right course of action may be calculated using the binomial distribution formula. The equation is:

\(P(X \geq k) = 1 - \sum (i=0, k-1) [\frac{i!}{(i!(n-i)!)} ]p^i*(1-p)^(^n^-^i^)\)

where:

P(X ≥ k) is the probability of at least k successes

n is the total number of trials (in this case, 12 jurors)

p is the probability of success in a single trial (in this case, 0.80)

k is the number of successes we want to find the probability of (in this case, 10)

Using a calculator or software, we can calculate this to be approximately 0.7063.

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Rice costs $x per kilogram.
Potatoes cost $(x + 1) per kilogram.
The total cost of 12 kg of rice and 7 kg of potatoes is $31.70.
Find the cost of 1 kg of rice.

Answers

Answer:

$1.3

Step-by-step explanation:

12x+7x+7=31.7

x=1.3

PLS GIVE BRAINLIEST

The perimeter of a square is 56cm. State the length of one of its sides.

Answers

Answer:

The length of one of the sides would be 14 cm.

Step-by-step explanation:

There are 4 sides to a square and the total perimeter is 56 cm meaning that we need to divide 56 by 4 to get the length of one side. 56 divided by 4 is equal to 14 cm, getting your answer. I hope this helps! Have a great day! :)

You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.

Answers

The amount that each employee will get out of the bonus to your department will be $3,000.

What will each employee get?

You manage a staff of 9 employees in your department which means that there are 10 people in total.

The amount that each person will get from the bonus will therefore be:

= 30,000 / 10 employees

= $3,000

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A study on students drinking habits wants to determine the true average number of alcoholic drinks all FSU graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1.79. How many students should be sampled to be within 0.5 drinks of population mean with 95% probability?
A. 50
B. 49
C. 24
D. 25

Answers

To determine the sample size needed to estimate the population mean with a certain level of confidence and precision, we can use the formula:

n = ((z * σ) / E)^2

where:
- n is the sample size
- z is the z-score corresponding to the desired level of confidence (95% confidence corresponds to a z-score of 1.96)
- σ is the standard deviation of the population
- E is the margin of error (half the width of the confidence interval, which in this case is 0.5)

Plugging in the given values, we get:

n = ((1.96 * 1.79) / 0.5)^2
n = 48.93

Rounding up to the nearest whole number, we get:

n = 49

Therefore, the answer is B. 49 students should be sampled to be within 0.5 drinks of the population mean with 95% probability.

573 people signed up to go rafting. 13 people can fit in each raft. How many rafts
will they need?

Answers

Answer:

They will need about 44 rafts

Step-by-step explanation:

Just do 573/13

Solve the given initial-value problem. Xy' y = ex, y(1) = 9 y(x) = give the largest interval i over which the solution is defined. (enter your answer using interval notation. ) i =

Answers

The largest interval I over which the solution is defined is (-∞, ∞).               I = (-∞, ∞)

To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).

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A shelf has 20 bags of potatoes. Two of the bags have potatoes starting to go bad. The probability of drawing a bag with bad potatoes is less than 1. The probability of drawing a bag with good potatoes is greater than 0. What is the probability of drawing a bag with bad potatoes? what is the expected probability of the complement of the event?.

Answers

Probability of drawing bad potatoes = 0.1

The probability of drawing a bag with bad potatoes is less than 1.

The probability of drawing a bag with good potatoes is greater than 0

The probability of drawing a bag with bad potatoes as a decimal .

The probability is 20% which means 20 by hundred , which means there is a chance of being its ok.

probability of bad potatoes = 2/20

=1/10

=0.1

To find the probability of the outcomes = Number of favourable outcome / Number of total outcome.

Probability of event 1 and 2

probability of event 1 =Number of favourable outcome / Number of total outcome.

probability of event 2 = 1 -( probability of event 1)

probability of good potatoes = 1- ( probability of bad potatoes)

Probability of the given event( probability of the bad potatoes = 1-(0.1)

Thus,

Probability of the bad potatoes in the 2 of the bags are=0.9

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PLEASE HELP I AM ABOUT TO FAILL
Suppose that a plano cost 5,000 and loses 20% of its value oach year. table shows the value, of a piano after years.

1. 5000
2. 4000
3. 3200

write an equation that can be used to find the value of the piano, v, after t years.

Answers

Answer:

Step-by-step explanation:

90

Based on the information, the value of the piano after 16 years is $140.74.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Using this formula to find the value of the piano, v, after t years.

CP = Principal(1-rate)\(^t\)

Where:

Principal=$5,000

Rate=20%

Number of year = 16 years

Let plug in the formula;

=5,000(1-0.20)^16

=5,000(.80)^16

=$140.737

= $140.74 (Approximately)

Hence, the value of the piano after 16 years is; $140.74.

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Which point could be on the line that is perpendicular to Line M N and passes through point K?
A) (0, −12)
B) (2, 2)
C) (4, 8)
D) (5, 13)

Answers

Answer:

B. (2,2)

Step-by-step explanation:

correct on edge 2020

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What percent of 300 is 120?O A) 25%O B) 250%OC) 4%OD) 40% What is one reason that a hotel owner might consider hiring a hotel management company? Find the area of each figure.Please no linksPlease help meee This is the last question for my assignment Can someone answer this???????????????????????? TRUE/FALSE. mixed economies often result when countries shift away from command economies toward market economies. research on biological treatments for autism spectrum disorder shows that 5/2 times 1/3 times 3/4?? Help pls! In which kind of monohybrid cross would you expect to find a phenotypic ratio of 3:1 among the offspring? Mis amigos_______________________(practicar) deportes en la clase de educacin fsica.Instrucciones: For each sentence, write the correct form of the verb in parentheses so that it agrees with the subject.Help me please The table below contains the bond dissociation energies for common bonds.BondDissociation energy(kJ/mol )CC350C=C611CH410CO350C=O799OO180O=O498HO460Calculate the bond dissociation energy for the breaking of all the bonds in a mole of methane, CH4. Which of the following would be a function of the nucleic acids? A.They are used to store and transmit genetic informationB.They are used to store energyC.They are used for structural purposesD.They are used to insulate the body Julius CaesarWhat is the immediate effect of Brutus's speech on thecrowd? The duties of a citizen is to contribute to the good of society by obeying all just lost, paying taxes, voting, and defending ones own country. Now you may not be old enough to vote or pay taxes, but what are other ways you could contribute to the good of society and be a good citizen The cost in collars, CCC, from an airplane flight given that the average cost of a first class seat is fff dollars and the average cost of an economy seat is eee dollars is given by the equation above if all seats are sold. What is the best interpretation of 88e88e88, e as shown in the above equation 1) Fred buys a video game disk for $4. There was a discount of 20%.What isthe sales price? Samantha drives 4.2 miles each workday. Howfar will Samantha drive after 18 workdays? Suppose the market demand for pizza is given by Qd = 300 20P and the market supply for pizza is given by Qs = 20P 100, where P = price per pizza.3.1) Graph the supply and demand schedules using RM5 through RM15 as the value of P. (2M)3.2) In equilibrium, how many pizzas would be sold and what price? (1M)3.3) What would happen if suppliers set the price of Pizza at RM15? Explain the market adjustment process. (2M) Which side was the first to offer freedom to slaves willing to fight for their side?. ASSIGNMENT 1 Step 1: Select a company in Canada. Step 2: Search the company website or other resources to gather information about thecompany and its industry and find out which ISO Standards Quality Management System relatedhas been implemented by the company you selected. Step 3: (OPTIONAL) If you have an opportunity to make an interview a quality manager or otherquality professional of the company, you should contact them to gather a brief informationregarding the process of ISO certification. Before the interview prepare a questionnaire. It needsto be a specific as much as you can do. Step 4: Take as a reference ISO 9001:2015 to be able to compare other management systemstandards (max 2 standards) for common clauses and differences. Refer the links below.https://www.iso.org/management-system-standards-list.htmlhttps://info.advisera.com/hubfs/14001Academy/14001Academy_FreeDownloads/ISO_14001_2015_vs_ISO_9001_2015_matrix_EN.pdfhttps://integrated-standards.com/combinestandards/?gclid=CjwKCAiA866PBhAYEiwANkIneFDC5Ci98_afWF-lO7qmNYsQhuwsRcjKQRSl_AMfDXRy9H7qzvqExoCvTwQAvD_BwE Step 5: Select the common clauses (min. 3) from ISO 9001:2015 and give an outline what needsto be done to meet the requirements of ISO 9001: 2015 clauses for the company you selected. Step:6 Create a process map for the processes in organization. (Note: Every operation of thecompany must be observed as a process, meaning you should identify all inputs, necessaryresources, documents, activities, and outputs from each operation.) Step 7: Report your findings on Table in WORD. Max 5 pages. This is a group assignment. Youmust present your report in 15 minutes. Ashleigh wants to double her money. She put $5,000 in a bank account that pays 4% compounded continuously. How long will it take her to double her money? (Round to