(a) plot a scatter diagram. does it appear that a simple linear regression will be a suitable model?

Answer: The answer should be 31.42 in

Answer:

point-slope form: [tex]y+5=-\frac{1}{10}(x-5)[/tex]

slope-intercept form: [tex]y = -\frac{1}{10}x - \frac{9}{2}[/tex]

Step-by-step explanation:

We can express any one-variable linear equation as: [tex]y-y_1=m(x-x_1)[/tex], where "m" is the slope, and [tex](x_1, y_1)[/tex] is some point on the graph.

We're given the equation in point-slope form: [tex]y-1=-\frac{1}{10}(x+8)[/tex], and if we want to make a line parallel to this line, we just need the slopes to be the same. So let's just look at the value in front of the parenthesis. This is given to be: [tex]-\frac{1}{10}[/tex]

We can use this same form, to develop an equation parallel to the given line, and passing through: [tex](-5, 5)[/tex]

Plugging the values into the point-slope formula, we get:
[tex]y-(-5)=-\frac{1}{10}(x-5)\\\\y+5=-\frac{1}{10}(x-5)[/tex]

From here we can also convert this into slope-intercept form, where "y" is isolated.

[tex]\\y+5=-\frac{1}{10}(x-5)\\\\y+5=-\frac{1}{10}x + \frac{5}{10}\\\\y + \frac{10}{2} = -\frac{1}{10}x + \frac{1}{2}\\\\y + \frac{10}{2} - \frac{10}{2} = -\frac{1}{10}x + \frac{1}{2} - \frac{10}{2}\\\\y = -\frac{1}{10}x - \frac{9}{2}[/tex]

the tension in each wire will be equal. The tension in each wire, T ,the tension in each wire is 85.36 N with its weight.

Assuming that the tool has negligible mass so that its weight does not contribute to the tension in the wires, the tension in each wire will be equal. The tension in each wire, T, can be calculated using the equation:

T = (W/2) + (L/2)*sin(θ),

where W is the weight of the shelf and L is the length of the shelf. The angle θ is the angle between the ceiling and the shelf.

In this case, W = 50 N, L = 50 cm and θ = 45°. Therefore, T = (50/2) + (50/2)*sin(45) = 50 + 35.36 = 85.36 N.

So, the tension in each wire is 85.36 N.

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After 5 week the savings of both Kaylee and Jack will be same.

The equation for Kaylee's savings, in terms of t, is K = 60 + 12t.

The equation for Jack's savings, in terms of t, is J = 95 + 5t.

To determine the number of weeks after the beginning of the year until Kaylee and Jack have the same amount of money saved, we set K equal to J and solve for t.

K = J

60 + 12t = 95 + 5t

7t = 35

t = 5

Kaylee and Jack have the same amount of money saved after 5 weeks.

What are savings?

The funds one has saved, particularly through a bank or government programme is known as savings.

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The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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Justin paid a tip that was 26% of his bill.

[tex]\frac{44.10-35}{35}[/tex]

[tex]\frac{44.10-35}{35}=0.26[/tex]

Justin paid a tip that was 26% of his bill.

Answer:

x is 8

And each side is 27

Step-by-step explanation:

check out the photo

hope it will help

The total weight of the 4 boxes was -  18.382 pounds.

A company shipped 3 boxes which each weighed 3.894 pounds.

As per the rule, we shall have to multiply the weight of the boxes of similar weight into 3 followed by the addition of the weight of the other box.

Then, we can get the final answer.

one box weighed  = 3.894 pounds

Three boxes weighed  = 3 * 3.894 pounds

                                       = 11.682 pounds

Another box weighed  = 6.7 pounds

The total weight of the 4 boxes was = ( 11.682 + 6.7 ) pounds

                                                             = 18.382 pounds

Hence, The total weight of the 4 boxes was -  18.382 pounds.

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Based on the graph of the function g(x) = −2x − 8, the x-intercept is equal to -4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).

By critically observing the graph of g(x) = −2x − 8, the x-intercept is -4. This ultimately implies that, the function g(x) = −2x − 8 would cross the x-coordinate (x-axis) at point (-4, 0.

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A positive and a negative co - terminal angle for each given angle is 1) -π/2 and -9π / 2 and 2) 7π / 2 and -π / 2 .

Given :

a positive and a negative co - terminal angle for each given angle

1 )  

= -5π / 2

To find positive and negative co - terminal angle we need to add and subtract by 2π .

= -5π / 2 + 2π

= -5π + 4π / 2

= -π/2

= -5π / 2 - 2π

= -5π - 2 * 2π / 2

= -5π - 4π / 2

= -9π / 2

or =

2 )

= 3π / 2

= 3π / 2 + 2π

= 3π + 2 * 2π / 2

= 3π + 4π / 2

= 7π / 2

= 3π / 2 - 2π

= 3π - 4π / 2

= -π / 2

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Answer:

75%

Step-by-step explanation:

42/56 * 100% = 0.75 * 100

= 75%

Answer:

√3√ab

Step-by-step explanation:

Please look in the attachment! Hope this helps! :D

The number of push ups done by each girl from the given parameters is; 72 push ups

We are given;

Rate of Push ups for Talhah = 6 push ups per set

Rate of Push ups for Rosina = 8 push ups per set

Let the number of sets of push ups done by each girl be denoted as x

Thus, since after they finished, they realized that while they did the same total number of push ups, Rosina needed 3 fewer sets to finish hers, then the equation here is;

6x = 8(x - 3)

Expanding the bracket gives;

6x = 8x - 24

8x - 6x = 24

2x = 24

x = 12 sets

Thus, number of push ups done by each = 6 * 12 = 72

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Answer:

Step-by-step explanation:

Perimeter = 400

Diagonal= 120

Each Side= 400/4 = 100

Then, find the length of a straight line:

                                   400= 120(2)+2x

                                   400= 240+ 2x

                                   400-240=2x

                                   160=2x

                                    x=80

Area of Triangle= 1/2(b)(h)

       = 1/2(80)(120)

       = 1/2(9600)

       = 4800

Answer:

Step-by-step explanation:

23

The sequence of transformations to change figure PQRS to figure P′Q′R′S′ will be;

⇒ Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Sequence of transformations will change figure PQRS to figure P′Q′R′S′.

Now,

Since, Sequence of transformations will change figure PQRS to figure P′Q′R′S′.

And, The coordinates of figure PQRS are,

P = (1,  2)

Q = (2, 1)

R = (3, 2)

S = (3, 3)

And, The coordinates of figure P'Q'R'S' are,

P' = (1,  -2)

Q' = (2, -1)

R' = (3, -2)

S' = (3, -3)

We know that,

The transformation rule for Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis will be,

⇒ (x , y) → (x, - y)

Thus, We get;

The sequence of transformations to change figure PQRS to figure P′Q′R′S′ is,

''Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis.''

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There is a 32.81% chance (0.3182) that there will be between 32647 and 43559 ants on a randomly chosen acre.

The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p-value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. We may calculate the likelihood that the value of the measure exceeds X by subtracting 1 from the pvalue.

The zscore of a measure X in a set with mean and standard deviation may be calculated as follows:

Z= X-μ/σ

μ = 42000   σ= 12275

The pvalue of Z when X = 32647 is deducted from the pvalue of Z when X = 43559 to get this value. So

X = 43559

z= 0.13 has a pvalue of 0.5517

X = 32647

z=  -0.76 has a pvalue of 0.2236

0.5517 - 0.2236 = 0.3281

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

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There is not sufficient evidence to conclude that the population mean battery life is less than 20 hours, based on the sample data.

To test the null hypothesis, Javier can use a one-sample t-test. In this test, the null hypothesis is that the population mean is equal to the claimed value of 20 hours, and the alternative hypothesis is that the population mean is less than 20 hours. To determine whether to reject or fail to reject the null hypothesis, Javier can compare the t-statistic, calculated from the sample data, to the critical t-value at a significance level of 0.05. The critical t-value is the value beyond which the null hypothesis can be rejected.

In this case, the t-statistic is given as -1.51. To find the critical t-value, Javier can use a t-table or a statistical software package. At a significance level of 0.05 and a sample size of 33, the critical t-value is approximately -1.68. Since the t-statistic (-1.51) is less than the critical t-value (-1.68), Javier should fail to reject the null hypothesis.

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Answer:

1/6

Step-by-step explanation:

ia fair dice only has 6 numbers so you can't get 7 so there is two 5 since its two fair dice it's out of 12,2/12 divide both by 2 because that the highest common factor and you get 1/6 that your answer

Answer:$2400 invested at $9% $3000 invested at $11%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the figure is a parallelogram, therefore the sum of angle A and angle B is 180°, we solve with an equation

180 = 5x + 5 + 4x - 5

180 = 9x

x = 180 : 9

x = 20

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

check

180 = 5x + 5 + 4x - 5

180 = 5 × 20 + 5 + 4 × 20 - 5  (remember PEMDAS)

180 = 180

the answer is good

Answer:

The angle x is equal to 20 degrees

Refer to the photo taken.

The continental slope of the ocean is given as follows:

-67.9.

The slope of an object or a situation is calculated by the division of the vertical change by the horizontal change.

The parameters for this problem are obtained as follows:

Then the slope of the ocean floor connecting the edge of the continental shelf in the beginning of the oceanic crust is calculated as follows:

m = -2715/40 = -67.9.

(division of the vertical change by the horizontal change obtained previously on this problem).

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P = 1 / n (Celia is first and Felicity is last in line) (n - 1)

P (in the line, Celia and Felicity are next to one another) = 2/n

A class consists of n kids.

These n kids line up for recess.

Out of n kids, there are two kids named Celia and Felicity.

(b) There are n positions and n! ways for n youngsters to stand in a line.

Consequently, n is the entire number of possible situations!

Felicity is standing in the last position while Celia is in the first (fixed position)

The remaining (n - 2) children can stand in the remaining 8 (n - 2) positions! ways

As a result, Celia is first in line and Felicity is last in line for the number of favorable situations, which is (n - 2)!

P (Celia is first in line and Felicity is last in line) = [(n - 2)! / n!]

P = (n - 2)! / [n(n - 1)(n - 2)!]

P = 1 / n(n - 1)

The likelihood that Celia and Felicity are on the same row as one another.

Consider Celia and Felicity as a single student, then multiply by the number of pupils (n - 1)

One can arrange (n - 1) pupils in (n - 1) positions! ways

However, there are two methods to organize Celia and Felicity among themselves.

There are therefore 2 good reasons to put Celia and Felicity adjacent to each other (n - 1)!

P(Celia and Felicity in the line are next to one another) = 2! * (n - 1)! / n!

P = 2 * (n - 1)! / n (n - 1)

P = 2/n

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The exponential function Q=Q0 (1+r) t can be used to describe exponential growth or decay depending on the value of r. If r is less than 0, the function can be used to describe exponential growth, whereas if r is greater than 0, the function can be used to describe exponential decay.

The exponential function Q=Q0 (1+r) t can be used to describe exponential growth or decay. The function is determined by three variables: Q0, which is the starting value of the function; r, which is the growth or decay rate of the function; and t, which is the time when the function occurs. If r is less than 0, then the function can be used to describe exponential growth, meaning that the output of the function will increase over time. On the other hand, if r is greater than 0, then the function can be used to describe exponential decay, meaning that the output of the function will decrease over time. The exponential function can be used to describe a variety of different processes, such as population growth, compound interest, and radioactive decay. It can also be used to predict future values based on past values by using the growth or decay rate. Thus, the exponential function is a powerful tool for describing and predicting exponential growth and decay.

Q=Q0 (1+r) t

For example, if Q0 = 10, r = 0.5, and t = 5, then

Q=10 (1+0.5)5

Q= 10 x 1.53

Q= 15.3

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at least 24 people must be in the party to guarantee that at least 3 people have the same date of birth, date of birth, date of birth.

To warrant that at least three people have the same date, month, and year of birth, we need to find the minimum number of people such that there is a probability that at least three people have the same date, month, and year. there is. Birth year she is 1 or more. Non-leap years have 365 days, and leap years have her 366 days. The birth year range includes two leap years, so there are 3652 + 3662 = 2,922 possible births. This means that the probability that a particular person's birthday is unique is (2922-1)÷2922 = 1÷2922.

Now we can use the birthday puzzle to calculate the probability that at least three people have the same birthday. The probability that no one has the same birthday is (1 - 1÷2922)^n, where n is the number of people in your party. At least he has 1-(1-1÷2922)^n probability that 3 of them have the same birthday. You can set this probability to 1 or more and solve for n.

1 - (1 - 1÷2922)^n >= 1

(1 - 1÷2922)^n <= 0

n >= log(0) ÷ log(1 - 1÷2922)

The logarithm of 0 is not defined, so you can use a small value on the right hand side instead. B. 10^-6. This will tell you:

n >= log(10^-6) ÷ log(1 - 1/2922)

n >= log(10^-6) ÷ log(2921/2922)

n >= log(10^-6) ÷ log(2921) - log(10^-6) / log(2922)

n >= log(10^-6) × log(2922) ÷ log(2921) - log(10^-6)

n >= log(10^-6) × log(2922) ÷ log(2921) - log(10^-6)

n >= 23.

Hence, at least 24 people must be in the party to guarantee that at least 3 people have the same date of birth, date of birth, date of birth.

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Step-by-step explanation:

Answer:

$3.6 saved

Step-by-step explanation:

Shop A: -

7 cookies    ---->   $5.60

24 cookies   ----->  $x

x = (24 x 5.60) / 7

x = $19.2

Shop B: -

5 cookies  ---->  $4.75

24 cookies  ---- > $y

y = (24 x 4.75) / 7

y = $22.8

Saved = Shop B - Shop A

Saved = 22.8 - 19.2

Saved = $3.6

I hope my answer helps you.