How many yards in 70 meters

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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a) We reject the null hypothesis and conclude that there is a statistically significant difference in mean daily sales between the two stores at the α = 0.02 level.

b)  (-299.33, 49.33) is the 95% confidence interval of the difference in means.

a) To determine if there is a statistically significant difference in mean daily sales between the two stores, we can perform a two-sample t-test.

The null hypothesis is that the means of the two populations are equal, while the alternative hypothesis is that they are not equal.

Using a significance level of 0.02, the critical t-value with 58 degrees of freedom (30 + 30 - 2) is ±2.403.

The test statistic can be calculated as:

\(t = \frac{\bar{X}_A - \bar{X}_B} \times{\sqrt{\frac{s_A^2}{n_A}+\frac{s_B^2}{n_B}}\)

where \(\bar{X}_A\) and \(\bar{X}_B\) are the sample means, \(s_A\) and \(s_B\) are the sample standard deviations, and \(n_A\) and \(n_B\) are the sample sizes for stores A and B, respectively.

Plugging in the values, we get:

\(t = \frac{995-1120}{\sqrt{\frac{120^2}{30}+\frac{250^2}{30}}}=-2.646\)

Since t= -2.646 is outside the critical t-value range of ±2.403

b) To find the 95% confidence interval for the difference in means, we can use the formula:

\((\bar{X}_A - \bar{X}B) \pm t{\alpha/2,df} \cdot \sqrt{\frac{s_A^2}{n_A}+\frac{s_B^2}{n_B}}\)

where \(t_{\alpha/2,df}\) is the t-value at the desired significance level and degrees of freedom.

At a 95% confidence level, the critical t-value with 58 degrees of freedom is ±2.001.

Plugging in the values, we get:

\((995-1120) \pm 2.001 \cdot \sqrt{\frac{120^2}{30}+\frac{250^2}{30}}\)

\(= -125 \pm 174.33\)

So the 95% confidence interval for the difference in means is (-299.33, 49.33). We can interpret this as follows: we are 95% confident that the true difference in mean daily sales between the two stores is between $-299.33 and 49.33.

Since the interval includes zero, we can also conclude that there is no significant difference in mean daily sales at the 5% level.

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer: a=101 b=79 c=83 d=97

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

\(\\ \sf\longmapsto {\displaystyle{\int}}(sinx.cosx.tanx) dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}sinx.\cancel{cosx}.\dfrac{sinx}{\cancel{cosx}}dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}sinx.sinx \:dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}sin^2x\:dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}\dfrac{1-cos2x}{2}dx\)

\(\\ \sf\longmapsto \dfrac{1}{2}{\displaystyle{\int}}1-cos2x\)

\(\\ \sf\longmapsto \dfrac{1}{2}{\displaystyle{\int}}dx-\dfrac{1}{2}{\displaystyle{\int}}cos2x\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{2}{\displaystyle{\int}}cos2xdx\)

Here Taking

Then

Now put values

\(\\ \sf\longmapsto \dfrac{1}{2}du=dx\)

Then

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{2}{\displaystyle{\int}}cos2xdx\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{2}\times \dfrac{1}{2}{\displaystyle{\int}}cosudu\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{4}{\displaystyle{\int}}cosudu\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{4}sin u\)

\(\\ \sf\longmapsto\underline{\boxed{\bf{\dfrac{1}{2}x-\dfrac{1}{4}sin 2x+C}}}\)

We have to use proportions to solve this question.

According to the given information, the perimeter of Figure A is to the sidelength of that figure as the perimeter of Figure B is to the sidelength of that figure:

The corresponding sidelength of Figure B is 30.

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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Answer:

what we have to find or to prove.

Answer:

1.6e-7, or .00000016

Step-by-step explanation:

Answer:93% not sure

Step-by-step explanation:

The denominator of the fraction at point Y is equal to 24.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:

8/d = 1 - 2/3

8/d = 1/3

Cross-multiplying, we have:

d = 8 × 3

d = 24.

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Answer:

Quedan 2.083 m^3 de agua en el reservorio.

Equivalen a 2083 litros.

Step-by-step explanation:

Los dueños del restaurante tienen un reservorio de agua cuyo volumen es de 6.25 m^3.

Si han utilizado 2/3 del reservorio, esto implica que aún quedan en el reservorio una tercera parte del volumen original (1/3).

Entonces, la cantidad de metros cúbicos (m^3) de agua que quedan en el reservorio se puede calcular como:

\(V=(1/3)\cdot V_0=(1/3)\cdot6.25\,m^3=2.083\,m^3\)

Este valor equivale a un volumen en litros de:

\(V=2.083\,m^3\cdot \dfrac{1,000\,l}{1m^3}=2,083\,l\)

Answer:

52 min

Step-by-step explanation:

Answer:

A supplementary angle is an angle that forms 180°. To put into simpler words, it's the angle that makes a straight line.

A complementary angle is an angle that makes a 90° angle or a right angle.

An acute angle is an angle that is less than 90°.

An obtuse angle is an angle that is between 90 & 180 degrees.

A reflex is one that makes a 270° angle.

And finally you have a full/complete angle which makes a 360° angle

Answer:

80:50 800:500 16:10

Step-by-step explanation:

Every member of a population is assigned a label. A computer's random number generator selects 10 members of the population to be in the sample. This is an example of a random sample.

random sampling is the fundamental sampling technique in which a group of subjects is selected for a particular study from a larger group, the population. Each subject is chosen purely by chance and each individual of the larger group (population) has an equal probability of being included in our sample.

Answer:

A. random sample

Step-by-step explanation:

The answer above is correct.

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

First let 'A' stand for area.

So, there's 3 areas so we write it like this:

A1: 14 ft × 3ft = 42 ft

A2: (14 ft - 2 ft) × 2 ft = 24 ft

A3: 8 ft × 3 ft = 24 ft

So when you add all of them = 90 ft

Have a wonderful day! :-)

A set of data that could be represented by the box-and-whisker plot include the following: D.

The median of the set of data is equal to 10.

In Mathematics and Statistics, a box-and-whisker plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set (2, 2, 7, 10, 10, 11, 13, 15, 17, 20, 20, 24, 26, 27, 27, 28), the five-number summary for the given data set include the following:

Minimum (Min) = 2.

First quartile (Q₁) = 16.

Median (Med) = 10.

Third quartile (Q₃) = 25.5.

Maximum (Max) = 28.

In conclusion, we can logically deduce that the median of the data set is 10 and it has no outlier.

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Answer:

The solution is attached here. Hope it helps ☺️

Answer:

\(r = 3.18cm\)

hope this helps

brainliest appreciated

good luck! have a nice day!

In summary, the difference between these two regression equations is mainly in the notation used to represent the regression coefficients, with lowercase letters used in simple linear regression models and uppercase letters used in multiple linear regression models.

In mathematics, an equation is a statement that asserts that two mathematical expressions are equal to each other. It usually contains one or more variables, which are placeholders for values that can vary. Equations are used to describe mathematical relationships and to solve problems. They can take many forms, such as linear equations, quadratic equations, polynomial equations, exponential equations, and so on. The specific form of an equation depends on the type of problem being solved and the mathematical relationships involved.

Here,

Both the regression equations ^y = b0 + b1x and Y = B0 + B1x are used to model the relationship between a dependent variable (y or Y) and an independent variable (x). However, the key difference between these two equations lies in the notation used to represent the regression coefficients.

In the first equation ^y = b0 + b1x, the regression coefficients are represented with lowercase letters (b0 and b1). This notation is typically used in simple linear regression models where there is only one independent variable. The hat symbol (^) over the y indicates that this is an estimated value of y based on the model.

In the second equation Y = B0 + B1x, the regression coefficients are represented with uppercase letters (B0 and B1). This notation is typically used in multiple linear regression models where there are two or more independent variables. The capitalization of the letters helps to distinguish them from the coefficients in the simple linear regression model.

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Farrah's total score for both rounds will be -3.

Since the leader board shows Farrah's score as 5 on the front nine, this will be: +5

Since the leader board shows Farrah's score as 8 on the back nine, this will be -8. Then we'll add both together to get the total score which will be:

= 5 + (-8)

= 5 - 8

= -3

His total score will be -3.

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Answer:

add sum of all the angle given

Answer:

(x-4)(x+4)

Step-by-step explanation:

x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)

Answer:

12 (who has 12 friends?)

Step-by-step explanation:

make the fractions, I think its called a denominator,  the same.

6/7 tums into 12/14

so if you give each friend 1/14 then you could feed 12 friends

this answer only works if you're not eating as well

The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

where PV salvage = $3,580 / \((1+i)^5\)

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For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

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