Katie uses the equation y = 30x + 70 to model the data.what is the meaning of the slope of the linear model

Answer:

if this is a true or false question it would be false...

Step-by-step explanation:

each bank has different fees and percentage rates, hope this helps

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

1 km

Step-by-step explanation:

4 × 1/4 km = 4/1 × 4/1 km = 4/4 km = 1 km

Answer: 1 km

Step-by-step explanation:

that would be 1/4×4=1

so that means he ran lkm long

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

\(\boldsymbol{4}\) is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Height of a cylinder \((h)=8\) inches

Volume of a cylinder\(=400\) cubic inches

Let \(r\) denotes radius of a cylinder.

Volume of a cylinder \(=\pi r^2 h\)

\(400=\frac{22}{7}r^2 (8)\)

\(r^2=15.9\\r=3.99\)

So, \(\boldsymbol{4}\) is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

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Answer:

500%

Step-by-step explanation:

Is means equals and of means multiply

75 = P * 15

Divide each side by 15

75/15 = P

5 = P

Change to percent form

500%

This interval is wider than the confidence interval in part (a) and the prediction interval in part (b) because it is based on the entire population of metal pieces, not just a sample.

(a) To find a 99% confidence interval on the mean diameter, we can use the t-distribution with n-1 degrees of freedom since the population standard deviation is not known. The formula for the confidence interval is:

CI = x ± tα/2,s/√n

where x is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom for the desired level of confidence α.

Plugging in the values, we get:

CI = 1.0056 ± t0.005/2,0.0246/√9

= 1.0056 ± 0.025

= (0.9806, 1.0306)

Therefore, we can be 99% confident that the true mean diameter of the metal pieces produced by the machine is between 0.9806 and 1.0306 centimeters.

(b) To compute a 99% prediction interval on a measured diameter of a single metal piece taken from the machine, we can use the formula:

PI = x ± tα/2,s(1 + 1/n)√(1 + 1/n)

where x is the point estimate of the diameter (in this case, the sample mean), s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom for the desired level of confidence α.

Plugging in the values, we get:

PI = 1.0056 ± t0.005/2,0.0246(1 + 1/9)√(1 + 1/9)

= 1.0056 ± 0.052

= (0.9536, 1.0576)

Therefore, we can be 99% confident that a single metal piece produced by the machine will have a diameter between 0.9536 and 1.0576 centimeters.

(c) To find the 99% tolerance limits that will contain 95% of the metal pieces produced by this machine, we can use the formula:

TL = x ± kσ

where x is the sample mean, σ is the population standard deviation (which is estimated by the sample standard deviation s), k is the number of standard deviations from the mean that will contain the desired percentage of the population (in this case, 95% or 1.96 standard deviations for a normal distribution).

Plugging in the values, we get:

TL = 1.0056 ± 1.96(0.0246)

= (0.9573, 1.0539)

Therefore, we can be 99% confident that 95% of the metal pieces produced by the machine will have diameters between 0.9573 and 1.0539 centimeters. This interval is wider than the confidence interval in part (a) and the prediction interval in part (b) because it is based on the entire population of metal pieces, not just a sample.

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Answer:

Equation: y - 3x/4 + 4

Step-by-step explanation:

using the formula:

So using the formula:

Answer:

y = 3/4(x) + 4

Step-by-step explanation:

The slope-intercept equation of a line can be written as y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

We are given the slope (m) as 3/4 and the y-intercept (b) as 4. Thus, when we plug in values of m and b, we get the equation of y = 3/4(x) + 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Below is an illustration of the two-way frequency table showing the number of social media contacts for 7th and 8th students.

The definition of a two-way frequency table is a method of organizing data that makes it simple to see how frequently each category occurs.

The two-way frequency table presented here indicates the quantity of social media contacts made by 7th- and 8th-graders.

The proportion is then determined as follows:

Hence, we have written,

=> for 8th = 55/145 = 38%

=> for 7th = 61/155 = 39%

Here, we just add the cells above them in order to determine the total cells.

Equals> 61% + 39% = 100% for the seventh total.

Equals> 38% + 62% = 100% for the eighth total.

As a result, the column two-way relative frequency table is totally finished as follows:

 7th         8th       Total

0 - 300        61%      38%       50%

300+           39%      62%       50%

Total           100%     100%       100%

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the diameter of the circle is 12 centimetres.

The diameter of a circle is the distance across the circle passing through its centre. It is twice the length of the radius. Therefore, to find the diameter of a circle, we can simply multiply the radius by 2.

In this case, the radius of the circle is given as 6 centimetres. So, to find the diameter, we can use the following computation:

Diameter = 2 × Radius

Substituting the value of the radius in the above formula, we get:

Diameter = 2 × 6 cm

Diameter = 12 cm

Therefore, the diameter of the circle is 12 centimetres.
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Complete question:- The radius of a circle is 6 centimeters. Which computation could be used to find the diameter of this circle?

Answer:

hmg = E

Step-by-step explanation:

Step 1: Write equation

h = E/mg

Step 2: Multiply both sides by mg

hmg = E

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

-2

Replace u by -2, and check if the equality remains

1-9u = 19

1-9(-2) = 19

1-(-18)=19

1+18 = 19

19=19

-2 YES

7

1- 9(7) = 19

1-63 = 19

-62=19

NO

0

1-9(0) = 19

1= 19

NO

6

1-9(6) = 19

1-54=19

-53=19

NO

Answer:

47 months

Step-by-step explanation:

find 6.1% of 15k then divide that by 300

6.1% = 915

15,000 - 915 = 14085

14085 divided by 300 is 46.95 then rounded is 47

Answer:

A. 2x + 20

B. 20y + 15

C. 21c - 7

D. 24n + 28

E. 10x - 50

F. 18n + 45

Answer:

a)2x+20

b)20y+15

c)21c-7

d)24n+28

e)10x-50

f)18n+45

Step-by-step explanation:

a)2(x+10)=2*x+2*10=2x+20

b)5(4y+3)=5*4y+5*3=20y+15

c)7(3c-1)=7*3c-7*1=21c-7

d)4(6n+7)=4*6n+4*7=24n+28

e)10(x-5)=10*x-10*5=10x-50

f)9(2n+5)=9*2n+9*5=18n+45

Answer:

3

Step-by-step explanation: I guess

The variance of the given frequency distribution is 60.92, and the standard deviation is option (b) 7.80.

To calculate the variance of a frequency distribution, we need to first find the mean or average of the data. The formula for calculating the mean is as follows:

mean (μ) = Σfx / Σf

where Σfx represents the sum of the products of each value and its corresponding frequency, and Σf is the sum of all the frequencies.

Using the given data, we can calculate the mean as follows:

μ = (43 + 85 + 119 + 175 + 204 + 243 + 32*1) / (3+5+9+5+4+3+1)

μ = 13.5

Next, we need to calculate the deviation of each data point from the mean. To do this, we subtract the mean from each value and square the result. The formula for this is:

(x - μ)²

Using this formula, we get the following deviations for each data point:

(4 - 13.5)² = 81.00

(8 - 13.5)² = 30.25

(11 - 13.5)² = 6.25

(17 - 13.5)² = 12.25

(20 - 13.5)² = 42.25

(24 - 13.5)² = 110.25

(32 - 13.5)² = 333.22

Next, we need to multiply each deviation by its corresponding frequency, and then sum up the results. The formula for this is:

Σf(x - μ)²

Using the above deviations and frequencies, we can calculate the sum of squares as follows:

Σf(x - μ)² = 381.00 + 530.25 + 96.25 + 512.25 + 442.25 + 3110.25 + 1 x 333.22

Σf(x - μ)² = 1827.48

Finally, we can calculate the variance by dividing the sum of squares by the total number of observations (Σf). The formula for variance is:

σ² = Σf(x - μ)² / Σf

Using the above values, we can calculate the variance as follows:

σ² = 1827.48 / 30

σ² = 60.92

The standard deviation is the square root of the variance. Therefore:

σ = √(60.92)

σ = 7.80

Therefore, the correction option is (b).

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Complete Question:

Find the variance and standard deviation of the following frequency distribution:

x  4    8 11 17 20 24 32

f   3    5  9 5 4 3 1

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Answer:

the correct answer is C

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

Answer:

The III

Step-by-step explanation:

go right three times and down four times

Answer:

(67/100)×(3/10)= (67x3)/(100×10)=201/1000=201/1000=0.201

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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Answer: -0.75

Please mark mine as brainliest

Answer:

\(m=\frac{-3}{4}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in your 2 coordinates into the slope formula to find slope m:

\(m=\frac{1-7}{6-(-2)}\)

\(m=\frac{-6}{6+2}\)

\(m=\frac{-6}{8}\)

\(m=\frac{-3}{4}\)

Answer:

The process of repeating additions of the same number.

Step-by-step explanation:

multiply using distributive property  ... i think

Answer:

(612 x 10) + (612 x 3) = 6120 + 1836= 7956

Step-by-step explanation:

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:

9.936

Step-by-step explanation:

In(x+5)*x=5

ln(x^2+5x)=5

e^5=x^2+5x

148.4131=x^2+5x

x^2+5x-148.4131=0

x is 9.936 because logs can't be negative

L is then equal to 36.7 degrees (rounded to the nearest decimal point). in this right angle triangle

A right triangle, also known as a right-angled triangle, is a triangle with two perpendicular sides and one angle that is a right angle (90 degrees). The hypotenuse is the side that forms the right angle; the other two sides are referred to as the legs. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

This describing the right triangle LMN, where M is at a 90-degree angle and ML is parallel to MN.

We can use the tangent function to determine the angle L if MN is 3.9 and ML is 5.3.

An angle's tangent is equal to the adjacent side divided by the angle's opposing side.

The opposing side in this instance is MN, and the side next to it is ML.

Tan(L) = MN/ML = 3.9/5.3 = 0.7358 as a result.

We can use a calculator or a table to get L by taking the inverse tangent of both sides of the equation.

L is then equal to 36.7 degrees (rounded to the nearest decimal point). Therefore, L is almost 36.7 degrees.

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Answer: x≤-6 or 0<x≤6.Option D.

Step-by-step explanation:

Given:

Subtract   from both sides,

0

Simplifying by taking common denominator:

0

Factoring numerator:

0

Computing the signs and selecting that one satisfies ≤ 0:

x≤ -6,0<x≤6.

Option D is the right answer.

Answer:

x = -12

Step-by-step explanation: