Of the following, which option or options would help make this graph less misleading? i. the scale on the x-axis should be resized. ii. the scale on the y-axis should be resized. iii. the identity of the two parks should be more clearly differentiated. a. i and ii b. ii and iii c. iii only d. i and iii

The correct answer is row number 16 since the sum is 65536 in

pascal's triangle which equals to the 2 power of 16 , that is 4th option.

Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. This triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle. In any row of Pascal's triangle, the sum of the first, third, fifth, … numbers is equal to the sum of the second, fourth, sixth numbers.

(1+x)n=(n0)+(n1)x+(n2)x2+⋯+(nr)xr+⋯+(nn−1)xn−1+(nn)xn.

We know that , 2^16 = 65536

Therefore, the numbers come from the row number.16

Learn more about the pascal's triangle here :

https://brainly.com/question/26134164

#SPJ4

Answer: A.897.5 */* 100

Step-by-step explanation:

Answer: A-

Step-by-step explanation:

Took the quiz

Answer:

24/30 - 6

21/30 - 3

28/32 - 4

20/25 - 5

Step-by-step explanation:

We need to find the greatest common factor (GCF) for all four of these fractions.

To find the GCF of a fraction, you must list the factors of the numerator and denominator, then determine the largest factor that both numbers have in common.

Remember, factors are numbers that we multiply together to get another number.

------------------------------------------------------

Let's find the GCF of 24/30.

First, we have to list the factors of the numerator and the denominator.

24: 1, 2, 3, 4, 6, 12, 24

30: 1, 2, 3, 5, 6, 10, 15, 30

Then, we determine the largest factor that both numbers have in common.

The largest factor that they have in common is 6. So, the GCF is 6.

------------------------------------------------------

GCF of 21/30.

21: 1, 3, 7, 21

30: 1, 2, 3, 5, 6, 10, 15, 30

The largest factor that they have in common is 3. So, the GCF is 3.

------------------------------------------------------

GCF of 28/32.

28: 1, 2, 4, 7, 14, 28

32: 1, 2, 4, 8, 16, 32

The largest factor that they have in common is 4. So, the GCF is 4.

------------------------------------------------------

GCF of 20/25.

20: 1, 2, 4, 5, 10, 20

25: 1, 5, 25

The largest factor that they have in common is 5. So, the GCF is 5.

Answer:

A) \(\frac{15}{8}\)

Step-by-step explanation:

remember Soh Cah Toa!!

\(sin=\frac{opposite}{hypotenuse}\\ cos=\frac{adjacent}{hypotenuse} \\tan=\frac{opposite}{adjacent} \\\\cos=\frac{8}{17}\\\\a^2+b^2=c^2\\8^2+b^2=17^2\\64+b^2=289\\b^2=225\\\sqrt{b^2} =\sqrt{225}\\b=15=opposite\\\\tan=\frac{15}{8}\)

Answer:

1/9

Step-by-step explanation:

Subtract them

5/9-4/9=1/9 Answer

The graph of the exponential function is on the image at the end.

Here we want to graph the function:

f(x) = 0.5*(4)ˣ

To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.

when x = 0:

f(0) =   0.5*(4)⁰ = 0.5

Then the point is (0, 0.5)

when x = 1

f(1) =   0.5*(4)¹ = 2

So we have the point (1, 2)

if x = 2

f(2) =   0.5*(4)² = 8

So we have the point (2, 8)

Now we can graph these points and connect them with a general exponential curve.

The graph of the exponential function is shown below.

Learn more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Answer:

6 balloons in each pack

Step-by-step explanation:

54 divided by 9 is 6

Answer:

No

Step-by-step explanation:

Let's define our 2 terms first.

2x³y

2xy²

We see here that one term has a x³y and the other has a xy² term. Since they are not the same, the 2 terms are not like terms.

Answer:

-10/6 = -5/3

Step-by-step explanation:

rise= -10

run= 6

The volume of the sphere that has a radius of 3 inches is: 113.1 in.³

Volume of a sphere is found using the formula, V = 4/3 πr³, where r is the radius of the sphere.

Given the following:

Plug in the values into V = 4/3 πr³:

Volume of the sphere = 4/3 (3.14)(3)³

Volume of the sphere = 113.1 in.³

Learn more about the volume of a sphere on:

https://brainly.com/question/20394302

Note that the mean is 4 hours

The standard deviation is 2.236 hours.

The mean time to conduct all the interviews =

(3 hours/unqualified applicant) * (0.5) + (5 hours/qualified applicant) * (0.5)

= 4 hours

The standard deviation of the time to conduct all the interviews is

√((3 hours)² * (0.5)² + (5 hours)² * (0.5)²)

= 2.236 hours

Learn more about mean at:

https://brainly.com/question/1136789

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

The company from Example IV takes three hours to interview an unqualified applicant and five hours to interview a qualified applicant. Calculate  the mean and standard deviation of the time to conduct all the interviews.

The correct option is "will be centered around p, the true population proportion."

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.

Given that, the students select their random samples and plot the results on a dot plot, the dots, represent the sample proportions obtained by the students,

Since, the dots are representing the sample proportions, we know,

The population proportion is equal to the mean of the sampling distribution of the sample proportion.

Hence, the correct option is "will be centered around p, the true population proportion."

Learn more about random sample, click;

https://brainly.com/question/29852583

#SPJ1

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is \(-\dfrac{\sqrt{3}}{2}\) are \(\dfrac{4\pi}{3}\) and \(\dfrac{5\pi}{3}\), otherwise known as \(-\dfrac{\pi}{3}\). Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show \(-\dfrac{\sqrt{3}}{2}\).

Answer:

B. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4(2)ˣ

Step 2: Evaluate

Hello there!

Point-Slope Form:

y-y₁=m(x-x₁)

We are given m (the slope) and the point (5, 8)

y-8=3(x-5)

And that's our equation in point-slope form. Hope it helps! :)

\(GraceRosalia\)

First you will get 4dz

Answer:

By adding equation we get:

2x-y=3

x +y=9

______

3x=12

x=6

Step-by-step explanation:

cut the positive and negative (y)

Answer:

Step-by-step explanation:

Factor to solve.

12a2 + a – 35 = 0

>Multiply the first and the last, 12 and -35

     (12)(-35) = -420

>  Find 2 numbers that multiply to -420 but add to middle term, 1

       -20 and +21 multiply to -420 but adds to 1

>Replace the middle term with -20 and 21

      12a² + a – 35 = 0

       12a² + 20a -  21a – 35 = 0

>Group the first 2 and last 2 terms

      ( 12a² + 20a) (-  21a – 35) = 0

>Take out GCF from each of the groupings

      4a ( 3a + 5) -7(3a + 5) = 0

>Take out GCF (3a + 5)

      ( 4a - 7) ( 3a + 5) = 0

>Set each =0 and solve for a

       ( 4a - 7) = 0                      ( 3a + 5) = 0

          a=7/4                                  a = -5/3

Answer:

1. 24

2. 9.7

Step-by-step explanation:

Use the formula 1/2bh to solve

1. 1/2 x b x 4.5=54      

b=24

2.  1/2 x 8 x h=38.8

h=9.7

Answer:

Thabo had 51 crayons at the start.

Step-by-step explanation:

Sam has three times as many crayons as Thabo. Then

x = 3y.

If Sam gives 17 crayons to Thabo, then he will have twice as many crayons as Thabo. Then

(x-17) = 2(y+17).

Thabo had 51 crayons to start with.

Given that Sam has three times more crayons than Thabo does. He will have twice as many crayons as Thabo if he gives him 17 of them.

We need to determine the number of crayons Thabo had in starting.

Let's use algebra to solve this problem step-by-step.

Let's assume that Thabo starts with "x" crayons.

According to the given information:

Sam has three times as many crayons as Thabo, which means Sam has 3x crayons.

If Sam gives Thabo 17 crayons, he will have (3x - 17) crayons left.

Thabo will have (x + 17) crayons after receiving the 17 crayons from Sam.

Now, the second condition states that if Sam gives Thabo 17 crayons, he will have twice as many crayons as Thabo.

Mathematically, it can be expressed as:

2(x + 17) = 3x - 17

Let's solve this equation to find the value of x:

2x + 34 = 3x - 17

Subtract 2x from both sides:

34 = x - 17

Now, add 17 to both sides:

x = 51

So, Thabo had 51 crayons to start with.

Learn more about Equations click;

https://brainly.com/question/10724260

#SPJ7

Answer:

y-7=-4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-4(x-(-2))

y-7=-4(x+2)

Depreciation formula: starting value x (1-rate)^time

250,000(1-0.034)^2 years

250000(0.996)^2= $233,289

The answer is $233,289

Answer:

$233,289

Step-by-step explanation:

250000 *.034=8500

250000-8500=241,500

repeat

Answer:

Depends if you are averaging C or not.

Step-by-step explanation:

Use the pythagorean theorem to solve this.

c = √a^2 + b^2

A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.

Answer:

1. the slope is 4

2. the y intercept is 0

3. the equation of the line is y=4x

Step-by-step explanation:

First let's find the slope of the line (m)

Let's use the formula (y2-y1)/(x2-x1)

here are the points: (2,8) and (3,12)

let's label them

x1=2

y1=8

x2=3

y2=12

now substitute into the equation.

m=(12-8)/(3-2)

m=4/1

m=4

The slope of the line is 4.

Now, to find the y intercept:

You might have noticed that to go from (2,8) to (3,12), you add 1 to x and 4 to y.

Therefore, to find the y intercept, where the line crosses the y axis, you can first subtract 1 from x and 4 to y to get another point that fits on the line (1,4) and then again to get the point: (0,0)

therefore, the y intercept is 0

the most common method of the equation of the line is y=mx+b, where m is the slope and b is the y intercept

therefore the equation of the line is y=4x+0 or y=4x

Hope this helps!

Answer: 34.64

Step-by-step explanation: you multiply 10 and 2 and that gives you 20 and then u square root 20 and 3 and you get your answer.

Answer:

1 .Rearrange terms

5+2=−3

2+5=−3

2.Subtract 5 from both sides of the equation

2+5=−3

2+5−5=−3−5

3.Simplify

Subtract the numbers

2=−8

4.Divide both sides of the equation by the same term

2=−8

2/2=−8/2

5.Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

solution : =−4

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

To know more about martingale visit:
brainly.com/question/32735198

#SPJ11

not completely sure but i think b

Answer:

c

Step-by-step explanation:

add 2 to both sides then multiply 8 to both sides