The graph represents the heights of two climbers on a climbing wall over a 12-minute time period. How high did Abby climb above her original starting position?

Answer:

Yes, his collection will be complete by the time his grandfather visits

Step-by-step explanation:

Here, we want to know if his collection would be complete by the time his grandfather visits.

From the question;

he has collected 13 different quarters in 2.25 months

At the same rate, x different quarters will be collected in 9 months

Thus, mathematically;

x * 2.25 = 13 * 9

x = (13 * 9)/2.25 = 52

Thus, at this rate he would have collected 52 quarters in 9 months.

Since he has only 50 to collect, it means his collection would be complete by the time his grandfather visits

Answer:

x = 10/3 = 3.333

Step-by-step explanation:

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

To learn more about confidence intervals visit : https://brainly.com/question/20309162

#SPJ11

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

The correct value of sec(-45°) in exact form is √2.

To evaluate the expression sec(-45°), we need to find the value of the secant function at an angle of -45 degrees.

Recall that the secant function (sec) is the reciprocal of the cosine function. Therefore, we can rewrite the expression as 1/cos(-45°).

To find the value of cos(-45°), we can use the periodicity of the cosine function. The cosine function has a symmetry around the y-axis, meaning that cos(-θ) = cos(θ) for any angle θ. Therefore, cos(-45°) = cos(45°).

The cosine of 45 degrees is equal to 1/√2 or (√2)/2. Therefore, cos(45°) = 1/√2 or (√2)/2.Recall that the secant function (sec) is the reciprocal of the cosine function. Therefore, sec(θ) = 1/cos(θ).

We are given the expression sec(-45°), which means we need to find the value of the secant function at an angle of -45 degrees.

To evaluate sec(-45°), we first need to find the value of cos(-45°). The cosine function has a periodicity of 360 degrees or 2π radians, and it exhibits symmetry around the y-axis. This means that cos(-θ) = cos(θ) for any angle θ.

Since cos(-θ) = cos(θ), we have cos(-45°) = cos(45°). This allows us to find the value of cos(45°).

The cosine of 45 degrees is a well-known value. It is equal to (√2)/2 or 1/√2.

Now that we have found the value of cos(45°) as 1/√2 or (√2)/2, we can evaluate sec(-45°) as the reciprocal of cos(45°).

sec(-45°) = 1 / cos(45°) = 1 / (1/√2) = √2.

Therefore, the exact value of sec(-45°) is √2. This means that at an angle of -45 degrees, the secant function returns the value √2.

Now, we can evaluate the expression sec(-45°) as the reciprocal of cos(45°):sec(-45°) = 1 / cos(45°) = 1 / (1/√2) = √2.

Therefore, the value of sec(-45°) in exact form is √2.

Learn more about trigonometry here:

https://brainly.com/question/13729598

#SPJ11

Answer:

-34

Step-by-step explanation:

3 - 16 / 2 * 5 + 3

Division first

= 3 - 8 * 5 + 3

Then multiplication

= 3 - 40 + 3

Then addition

= 6 - 40

Then subtraction

= - 34

Answer:

A

Step-by-step explanation:

Remark

The line that has the best fit is one who distance above the line is the same as the distance below the line.

That statement means that if you take each point above the line and measure its (perpendicular) distance to the line and add all the distances of those points above the line together, you should get the same distance for the points below the line.

So why is A the best answer?

It's because the distance of the three points above the line should come close to the distance the 3 points are below the line.

The value of the diagonal will be equal to 20√2.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The value of the diagonal by the Pythagorean theorem.

H²  =  B²  +  P²

H²  =  20²  +   20²

H²  =  400   +  400

H  =  √800

H  =  20√2

Therefore the value of the diagonal will be equal to 20√2.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ1

The interval of convergence of the given power series is I=[0, 2/9] and the radius of convergence of power series is R=1

The disk of convergence is the set of all places whose distance to an is strictly less than the radius of convergence.

Given, the power series is,

\(\sum_{k=1}^{\infty }\) 1/(k²+k)\((9x-1)^{k}\)

Let \(u_{k}\)=1/(k²+k)

The radius of the convergence is,

R=\(\lim_{k \to \infty}\)| \(u_{k}\)/\(u_{k+1}\)|

=\(\lim_{k \to \infty}\) ((k+1)²+(k+1))/(k²+k)

=\(\lim_{k \to \infty}\) (k²+3k+2)/(k²+k)

=\(\lim_{k \to \infty}\) ((1+(3/k)+(2/k²))/(1+(1/k))=1

The interval of convergence is:

|9x-1|<1

Or, -1<9x-1<1

Or, 0<9x<2

Or, 0<x<2/9

Given the power series is converges in the interval (0, 2/9)

If x=0, then the power series becomes as shown,

\(\sum_{k=1}^{\infty }\)(1/(k²+k)(\(-1^{k}\))

Let \(a_{k}\)=(\(-1^{k}\))(1/(k²+k)

\(\lim_{k \to \infty}\)  \(a_{k}\)=0 and { \(a_{k}\)} sequence is monotone decreasing

Hence by Leibnitz's test,

\(\sum_{k=1}^{\infty }\)(1/(k²+k)(\(-1^{k}\)) is convergent

If x=2/9 then the power series becomes \(\sum_{k=1}^{\infty }\)(1/(k²+k)

Let  \(a_{k}\)=(1/(k²+k)and let \(b_{k}\)=1/k²

Then \(\sum_{k=1}^{\infty }\)  \(a_{k}\)/ \(b_{k}\)

\(\sum_{k=1}^{\infty }\) k²/(k²+k)=1 (≠0)

By comparison test, we know that ∑ \(a_{k}\) and ∑ \(b_{k}\) converge or diverge together.

As  ∑ \(b_{k}\)= ∑1/k² converges this implies that  ∑ \(a_{k}\)=(1/(k²+k) converges

Hence the interval of convergence of the given power series is,

I=[0, 2/9]

Therefore, the interval is I=[0, 2/9] and the radius of convergence in the power series is R=1.

To know more about radius of convergence, visit:

https://brainly.com/question/18763238

#SPJ4

Laplace transform of  L[(t²-t+1)δ(t - 2)] is  \(e^{-2s}\)(2/s³ - 1/s² + 1)

Given function,

L(t²-t+1) δ(t - 2)}

Here,

Laplace transform formula,

L{f(t)s(t - \(t_{0}\))} = \(e^{-st_{0} }\) F(s)

L{\(t^{n}\)} = n!/\(s^{n+1}\)

L{1} = 1

Now,

L(t²-t+1) δ(t - 2)} = L{t²δ(t-2) tδ(t-2) +δ(t-2)}

= (2/s³) \(e^{-2s}\) - (1/s²)\(e^{-2s}\) + \(e^{-2s}\)

= \(e^{-2s}\)(2/s³ - 1/s² + 1)

Know more about laplace transform,

https://brainly.com/question/14487937

#SPJ4

Answer:

1kg= 1000 g

3 kg=3000 g

so,

3000×11/5=6600 g=6kg 600 g

Answer:

6.6kg

Step-by-step explanation:

11/5 of 3kg mathematically means

11/5 × 3

= 33/5= 6.6kg

????????

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

0.25 * 4 = 1

so, 1/4 = 0.25

Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.

In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ11

The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.

The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:

Ed = (% change in quantity demanded) / (% change in price)

Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.

The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.

While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.

To know more about hummus visit:

https://brainly.com/question/15269710

#SPJ11

Answer:

a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.

Step-by-step explanation:

Answer:

The answer is indeed A

Step-by-step explanation:

..........

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

Answer:

60

Step-by-step explanation:

Because there are 4 different trim levels, 5 different colors, and 3 different interiors, you have to multiply 4 x 5 x 3.

4 x 5 x 3= 60

The value of x is 21.88

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

angle A is 27.2°, the opposite angle is 10 and the hypotenuse is x

therefore,

sin27.2 = 10/x

x( sin27.2) = 10

x = 10/sin27.2

x = 10/0.457

x = 21.88

Therefore the value of x is 21.88

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

Answer:

4x12= 48. So what option gives you 48?

Step-by-step explanation:

Give the options

we have

1,123 miles

rewrite

1,123=1,123(1,000/1,000)=1.123(1,000)=1.123 x 10^3 miles

Remember that

1,000/1,000=1

therefore

1,123 miles=1.123 x 10^3 miles

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

Answer:

hope it helps

stay safe healthy and happy.

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

Answer:

2x^2 + x - 1

If I did anything you didn't understand let me know so I can explain.  

Step-by-step explanation:

All of them are quadratics so let's use that.

The first one is 2x^2 + x - 1.  To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them.  Something to  notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry.  So I am going to ignore the constant, because then finding the zeroes is much much simpler.  I am going to do this with all opions.

So 2x^2 + x - 1 I am just going to use 2x^2 + x.  If you factor out an x you get x(2x + 1)  So now we have it in factored form and we know the zeroes are 0 and -1/2.  The number directly in between these is -1/4, so the axis of symmetry is x = -1/4.  I don't know if there is only one with that axis of symmetry so i am going to check the rest.

2x^2 - x + 1 means we are only going to look at 2x^2 - x.  factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.

x^2 + 2x - 1 we only use x^2 + 2x.  Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1

x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.

So yep, it was just the first one.

9514 1404 393

Answer:

  (a)  f(x) = 2x^2 +x -1

Step-by-step explanation:

For ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the offered answer choices, the axes of symmetry are ...

  a) x = -1/(2·2) = -1/4 . . . . . . the function we're looking for

  b) x = -(-1)/(2·2) = 1/4

  c) x = -2/(2·1) = -1

  d) x = -(-2)/(2·1) = 1

The function with axis of symmetry x = -1/4 is f(x) = 2x^2 +x -1.

The  value when placed in the box, would result in a system of equations with indefinitely many solutions y = -2x+4 6x+3y is 12.

The system of equations that have an infinite number of solutions is called dependent equations. The two equations have an infinite number of solutions if they represent the same line.

Therefore, in the given system of equations:y = -2x + 46x + 3y = 12x - 2,

Find the value that would result in a system of equations with an infinite number of solutions.There are different methods to find the solution of the above system of equations. Let's use the substitution method in this case.

Substitute y = -2x + 4 in the second equation:6x + 3y = 12x - 2 becomes 6x + 3(-2x + 4) = 12x - 2.

After solving it, you get 0 = 0.This is true for all values of x and y, therefore, there are an infinite number of solutions. Thus, the value that would result in a system of equations with an infinite number of solutions is any value of x.The option that has any value of x is 12. Therefore, the answer to the problem is 12.

Know more about   equations  here:

https://brainly.com/question/25976025

#SPJ8

Answer:

4

Step-by-step explanation:

A equation will look like this

11+x=15

-11 on both sides

x=4

Hope this helps :D

Answer:

you have to divide ➗ the number

The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

Find out more on Union of South American Nations at brainly.com/question/12768417.

#SPJ4