A store sells rope by the meter. The equation p = .8 L represents the price: p (in dollars) of a piece of nylon rope that is L meters long.

How long is a piece of nylon rope that is $2.80?

Answer:

Step-by-step explanation:

32/40

=0.8

so it's 20% off since it's a decay.

If the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60, therefore, the answer is (c) 0.60.

Based on your question,  the coefficient of determination (R²) for a simple linear regression, given the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60.

To calculate R², follow these steps:

1. Calculate the total sum of squares (SST): SST = SSE + SSM
2. Divide SSM by SST: R² = SSM / SST

Now, let's apply the values from your question:
To calculate, we use the formula:
= SSM / SSM + SSE)

Plugging in the given values, we get:
= 60 / (60 + 40) = 0.6
SST = SSE + SSM = 40 + 60 = 100
R² = SSM / SST = 60 / 100 = 0.60

So, the coefficient of determination (R²) is 0.60, which corresponds to option (c).

Learn more about Squares:

brainly.com/question/28776767

#SPJ11

Answer:

1234567890

Step-by-step explanation:

Answer:

1234567890

Step-by-step explanation:

Answer:

-118

Step-by-step explanation:

y = 3 = -118(x + 6)  Distributive property

y + 3 = -118x - 708  Subtract 3 from both sides

y = -118x - 711

The number before the x is the slope: -118            

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

#SPJ11

Let us know more about distribution : https://brainly.com/question/32696998.

6 cows are there  on the farm, 38 ostriches, for a total of 44 animals. they have a total of 100 legs.

To solve this problem, we need to use algebra. Let's let "c" represent the number of cows on the farm and "o" represent the number of ostriches on the farm. We know that there are 44 animals in total, so:

c + o = 44

We also know that cows have 4 legs and ostriches have 2 legs, and that there are a total of 100 legs on the farm. So:

4c + 2o = 100

Now we have two equations with two variables, so we can solve for one of the variables and then substitute it into the other equation to solve for the other variable. Let's solve for "o" in the first equation:

o = 44 - c

Now we can substitute this into the second equation:

4c + 2(44-c) = 100

Simplifying:

4c + 88 - 2c = 100

2c = 12

c = 6

So there are 6 cows on the farm. To check, we can substitute this into the first equation:

6 + o = 44

o = 38

So there are 6 cows and 38 ostriches on the farm, for a total of 44 animals. And the total number of legs is:

4(6) + 2(38) = 100

So this answer checks out.

Learn more about total here:

https://brainly.com/question/29615374

#SPJ11

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

What is a Normal distribution in statistics?

Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.

Given data:

X: height of seaweed.

       X~N (μ;σ²)

       μ= 10 cm

       σ= 2 cm

We have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

              P(X ≤ x) = 0.30

              P(X ≥ x) = 0.70

Now by using the standard normal distribution,

we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula

        Z = (X - μ)/σ

translates the Z value to the corresponding X value.

           P(Z ≤ z) = 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

                  z= -0.52

Now you have to clear the value of X:

        Z= (X - μ)/σ

        X= (Z * σ) + μ

       X = (-0.52 * 2) + 10

         = 8.96

hence, the value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

To learn more about normal distribution, visit:

brainly.com/question/23418254

#SPJ4

This Bay store can also be described as a big box retailer store.

Big Box Retailer

A big box retailer is a physically enormous retail store that is typically a component of a chain of stores (also known as a hyper store, supercenter, superstore, or megastore). By extension, the phrase, big box retailer can also refer to the business that runs the store.

The Bay Store as a Big Box

There are numerous retail chains that only operate in Canada, aside from the large American big box retailer stores like Walmart Canada and the formerly-existent Target Canada. These include places like Hudson's Bay by Home Outfitters, Loblaws by Real Canadian Superstore, Rona, Winners by HomeSense, Canadian Tire by Mark's & Sport Chek, Shoppers Drug Mart, Chapters by Indigo Books and Music, Sobeys, and several others.

Learn more about big box retailers here:

https://brainly.com/question/16236924

#SPJ4

Answer:

It's around 459. So 460 if need to round

Step-by-step explanation:

So, 40 randomly chosen people do not represent  the whole school, but using the ratio 27:40 you are given in the equation, you can divide the number of students (680) by the surveyed students (40) to get 17. What this means is there is 17 groups of 40 in the school, so to distribute the amount of people who are in a after-school activity, you must multiply 17 x 27 to get the assumption of about 459 kids. Hopefully you understand =)

(a) The total distance traveled over the entire trip is approximately 94.9998 km.

(b) The average speed for the entire trip is approximately 38.51 km/h.

(a) To calculate the total distance traveled over the entire trip, we need to add up the distances covered during each leg of the trip.

Distance = Speed * Time

For the first leg:

Speed = 60.0 km/h

Time = 50.0 min = 50.0/60 = 0.8333 hours (converted to hours)

Distance1 = 60.0 km/h * 0.8333 hours = 49.9998 km

For the second leg:

Speed = 0.0 km/h (car is not moving)

Time = 13.0 min = 13.0/60 = 0.2167 hours (converted to hours)

Distance2 = 0.0 km/h * 0.2167 hours = 0 km

For the third leg:

Speed = 45.0 km/h

Time = 60.0 min = 60.0/60 = 1 hour

Distance3 = 45.0 km/h * 1 hour = 45.0 km

Total Distance = Distance1 + Distance2 + Distance3

Total Distance = 49.9998 km + 0 km + 45.0 km

Total Distance ≈ 94.9998 km

Therefore, the total distance traveled over the entire trip is approximately 94.9998 km.

(b) To calculate the average speed for the entire trip, we can use the formula:

Average Speed = Total Distance / Total Time

Total Time = (Time spent driving leg 1) + (Time spent driving leg 2) + (Time spent driving leg 3) + (Time spent eating lunch and buying gas)

Time spent driving leg 1 = 50.0 min = 50.0/60 = 0.8333 hours (converted to hours)

Time spent driving leg 2 = 13.0 min = 13.0/60 = 0.2167 hours (converted to hours)

Time spent driving leg 3 = 60.0 min = 60.0/60 = 1 hour

Time spent eating lunch and buying gas = 25.0 min = 25.0/60 = 0.4167 hours (converted to hours)

Total Time = 0.8333 hours + 0.2167 hours + 1 hour + 0.4167 hours

Total Time ≈ 2.4667 hours

Average Speed = 94.9998 km / 2.4667 hours

Average Speed ≈ 38.51 km/h

Therefore, the average speed for the entire trip is approximately 38.51 km/h.

Learn more about average speed here:

https://brainly.com/question/27851466

#SPJ11

Answer:

B: goals per game

Step-by-step explanation:

She will atleast score 4 goals per game

Answer: I hope this helps.

Step-by-step explanation:

Answer:

The correct answer is -2+1.

So yeah

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

To learn more about : triangle

https://brainly.com/question/17335144

#SPJ11

Answer:

7+8=15

Step-by-step explanation:

In complex analysis, for the function f(x) = 1/(1 + x^2), the integral of f(x) over a specified range and the integral involving complex variables can be computed. The first integral evaluates to 21/72, while the second integral for k > 0 equals -12/17 f(x)e^(-tkr) and the third integral for k < 0 is 212/72 times f(x)e^(tkr).

a) To compute the integral ƒ(0) 21/72 L f(x) dx, we need to integrate the function f(x) = 1/(1 + x^2) over the range specified by L. The integral of f(x) with respect to x is given by arctan(x), and evaluating it at the upper limit (L) and subtracting the value at the lower limit (0) gives us the result. Plugging in the values, we obtain ƒ(0) 21/72 L f(x) dx = (1/2)arctan(L) - (1/2)arctan(0) = (1/2)arctan(L) = 21/72.

b) Assuming k > 0, we are given the integral -ikx ƒ(k) = - 12/17 f(x)e^(-tkr) dx. Here, we have a complex variable, k, and the integral involves both the function f(x) and the exponential term e^(-tkr). Integrating this expression requires evaluating each term separately and applying the appropriate rules of integration. By performing the calculations, we arrive at the result of -ikx ƒ(k) = - 12/17 f(x)e^(-tkr) = - 12/17 arctan(k) e^(-tkr).

c) Assuming k < 0, we are asked to compute the integral ƒ(k) = 212/72 * f(x) e^(tkr). Similar to part (b), we need to integrate the function f(x) multiplied by the exponential term e^(tkr). Again, we evaluate each term individually and apply integration rules to obtain the result. The integral ƒ(k) = 212/72 * f(x) e^(tkr) evaluates to 212/72 arctan(k) e^(tkr).

In summary, for the function f(x) = 1/(1 + x^2), the given integrals are evaluated as follows: ƒ(0) 21/72 L f(x) dx = 21/72, -ikx ƒ(k) = - 12/17 f(x)e^(-tkr) = - 12/17 arctan(k) e^(-tkr) (for k > 0), and ƒ(k) = 212/72 * f(x) e^(tkr) = 212/72 arctan(k) e^(tkr) (for k < 0).

Learn more about complex variables here:

https://brainly.com/question/30612470

#SPJ11

The 98% confidence interval for the average number of hours studying for the exam is approximately 6.61 to 7.99 hours. The correct option is d.

To calculate the 98% confidence interval for the average number of hours studied, we need to use the sample mean (7.3 hours), sample standard deviation (1.9 hours), sample size (41 students), and the appropriate Z-score for a 98% confidence level.

Step 1: Find the Z-score for a 98% confidence level.
Using a Z-table or calculator, the Z-score for a 98% confidence interval is approximately 2.33.

Step 2: Calculate the standard error.
Standard error (SE) = (sample standard deviation) / sqrt(sample size) = 1.9 / sqrt(41) ≈ 0.297

Step 3: Calculate the margin of error.
Margin of error (ME) = Z-score * standard error = 2.33 * 0.297 ≈ 0.692

Step 4: Calculate the confidence interval.
Lower limit = sample mean - margin of error = 7.3 - 0.692 ≈ 6.61
Upper limit = sample mean + margin of error = 7.3 + 0.692 ≈ 7.99

This means that we can be 98% confident that the true mean of hours studied for the entire class of 115 students lies within this range. The closest answer choice to these values is option D (6.11 and 8.49).

For more about confidence interval:

https://brainly.com/question/29680703

#SPJ11

Answer:

5,234

Step-by-step explanation:

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

​

=

x

73

​

\cos 48=\frac{73}{x}

cos48=

x

73

​

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

​

=

cos48

73

​

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

​

=109.0968≈109.1 feet

Type into calculator and roundto the nearest tenth of a foot.

Della was crying because she doesn't have enough money to brought the present for her husband Jim.

Basically, the O Henry's story of "The gift of Magi" has the central them as Love. In this story, he sets up a contrasted picture in life- love among the ruins- the acute poverty in the family and the sacrifice of the greatest possessions of the family.

In this stage he defines how their possession has helped Jim and Della, that's the hero and heroine to conquer poverty they were in.

Now, the reason behind Della's cry was she had only one dollar and eighty seven cents and with this small amount she could not buy a good present for her dear husband.

To know more about Present here

https://brainly.com/question/1752165

#SPJ4

Answer:

\(y=3*1.04^{t}\)

in 2029

Step-by-step explanation:

\(y=3*1.04^{t}\)

\(when y=5\\t=\frac{ln(5/3)}{ln(1.04)} =13.02 ..\)

have to round it up to 14 to exceed

For any value of b, the line y = bx - 1 will not be a tangent to the graph of y = x^2 + a(x - 1) if and only if |b - a| < 2√(a - 1).

To determine whether the line y = bx - 1 is a tangent to the graph of y = x^2 + a(x - 1), we need to find the points of intersection of the line and the parabola. If there is no intersection, then the line cannot be a tangent to the parabola.

Substituting y = bx - 1 into the equation for the parabola, we get:

bx - 1 = x^2 + a(x - 1)

Rearranging terms, we get:

x^2 + (a - b)x + (1 - a) = 0

For the line to not be a tangent to the parabola, this quadratic equation must have no real solutions (i.e., the discriminant b^2 - 4ac must be negative). Therefore, we have:

(a - b)^2 - 4(1 - a) < 0

Simplifying and expanding, we get:

a^2 + b^2 - 2ab - 4a + 4 < 0

Rearranging terms, we get:

b^2 - 2ab + a^2 < 4a - 4

The left-hand side is a perfect square: (b - a)^2. Therefore, we can write:

(b - a)^2 < 4(a - 1)

Taking the square root of both sides, we get:

|b - a| < 2√(a - 1)

Therefore, for any value of b, the line y = bx - 1 will not be a tangent to the graph of y = x^2 + a(x - 1) if and only if |b - a| < 2√(a - 1).

learn more about parabola: https://brainly.com/question/64712

#SPJ1

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

89.8 feet

Step-by-step explanation:

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and DB = 93 feet. Find the length of BC to the nearest tenth of a foot.

We would solve the above question using Sine rule

The formula is given as:

DB/sin D = BC/sin B

93/sin 90 = BC/sin 75

We cross multiply

sin 90 × BC = 93 × sin 75

BC = 93 × sin 75/sin 90

BC = 89.83 feet

Approximately BC = 89.8 feet

1.1) True. The set of polynomial functions of degree n with integer coefficients, excluding the zero coefficient, is countable.

1.2) True. The union of any collection of open sets in R is open.

1.3) False. The set [1, 2] ∪ [3, 4] ∪ [5, 6] ∪ {7} is not closed because it does not include all its limit points.

1.4) True. The intersection of any collection of compact sets in R is compact.

1.5) False. The sequence Y is not a subsequence of X.

1.6) True. Every uniformly continuous function is also a Lipschitz function.

1.7) True. Continuity is necessary for a function to be Riemann integrable.

1.8) True. The product of two functions that are not individually Riemann integrable can still be integrable.

1.9) False. If a sequence converges uniformly to a function at a point, the sequence of function values also converges at that point.

1.10) True. If a sequence of Riemann integrable functions converges uniformly to a function, the limit function is also Riemann integrable.

(1.1) Let Pn​ be the set of polynomial functions f of degree n defined by relations of the form f(x) = C0​xn + C1​xn−1 + ⋯ + Cn,​ where n is a fixed non-negative integer, the coefficients C0​, C1​, ..., Cn​ are all integers, and C0​ ≠ 0. Then the set Pn​ is countable.

- True. The set Pn​ is countable because it can be put in a one-to-one correspondence with the set of all polynomials with integer coefficients, which is countable.

(1.2) The union of an arbitrary family of open sets in R is open.

- True. The union of any collection of open sets in R is open. This property is a fundamental property of open sets.

(1.3) If F = [1,2] ∪ [3,4] ∪ [5,6] ∪ {7}, then F is closed.

- False. The set F is not closed because it does not contain all its limit points. Specifically, the limit point 2 is not included in F.

(1.4) The intersection of an arbitrary collection of compact sets in R is compact.

- True. The intersection of any collection of compact sets in R is compact. This is a property known as finite intersection property.

(1.5) Let X = (1,21​,31​,41​,51​, ...) and Y = (21​,11​,41​,31​,61​,51​, ...) be two sequences in R. Then Y is a subsequence of X.

- False. Y is not a subsequence of X. A subsequence of a sequence is obtained by selecting terms from the original sequence in their respective order. Y does not follow this pattern in relation to X.

(1.6) Every uniformly continuous function is a Lipschitz function.

- True. Every uniformly continuous function is also a Lipschitz function. Uniform continuity implies a bounded rate of change, which satisfies the Lipschitz condition.

(1.7) The condition of continuity is necessary for a function to be Riemann integrable.

- True. Continuity is a necessary condition for a function to be Riemann integrable. If a function is not continuous, it may not be integrable using the Riemann integral.

(1.8) If functions f and g are not Riemann integrable on [a,b], then function fg may be integrable on [a,b].

- True. The product of two functions, each of which is not Riemann integrable, can still be integrable. The integrability of the product is not solely dependent on the individual integrability of the functions.

(1.9) If a sequence (fn​) converges uniformly to f on [a,b], and x0​ is a point of [a,b] such that limx→x0​​fn​(x) = an​ for all n∈N, then the sequence (an​) need not converge.

- False. If the sequence (fn​) converges uniformly to f on [a,b], and the point x0​ is such that limx→x0​​fn​(x) = an​ for all n∈N, then the sequence (an​) will also converge to the same limit as the function f at x0​.

(1.10) Let (fn​) be a sequence of Riemann integrable functions fn​:[a,b]→ R converging uniformly to f:[a,b]→R. Then f is Riemann integrable.

- True. If a sequence of Riemann integrable functions converges uniformly to a function, then the limit function is also Riemann integrable. Uniform convergence preserves integrability.

To know more about Riemann integrable function, please click here:

https://brainly.com/question/33160126#

#SPJ11

ΔABD ≅ ΔCBD based on the SAS Congruence Postulate.

The SAS Congruence Postulate is a principle in geometry that states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Since B is the midpoint of AC, therefore AB ≅ CB (one pair of congruent sides).

Based on the reflexive property of congruence, BD ≅ BD (another pair of congruent sides).

Since AC is perpendicular to BD, therefore angles ABD and CBD are right angles, which means <ABD ≅ <CBD (one pair of included congruent angles).

Therefore, based on the SAS congruence postulate, ΔABD ≅ ΔCBD.

Learn more about the SAS congruence postulate on:

https://brainly.com/question/18922904

#SPJ1

Answer:

Am am not that big brain

Step-by-step explanation: