please help mee with this thing

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}\)

Step-by-step explanation:

\( \sf{7(r + 1) = 20.3}\)

Distribute 7 through the parentheses

⇒\( \sf{7r + 7 = 20.3}\)

Move 7 to right hand side and change it's sign

⇒\( \sf{7r = 20.3 - 7}\)

Subtract 7 from 20.3

⇒\( \sf{7r = 13.3}\)

Divide both sides of the equation by 7

⇒\( \sf{ \frac{7r}{7} = \frac{13.3}{7} }\)

Calculate

⇒\( \sf{r = 1.9}\)

Hope I helped!

Best regards!!

r is 1.9

Solve  7(r+1) = 20.3

Remove the brackets by dividing both sides by 7:

7(r+1) / 7 = 20.3 / 7

r + 1 = 2.9

Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:

r = 2.9 - 1

r = 1.9

r is therefore 1.9

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Answer:

Barb = 28 miles

Step-by-step explanation:

Givens

Let the whole distance = x

Amy = 3/7  x

Barb = 1/5 x

Colin = 1/5 x

Steve = 24

Equation

3/7 x + 1/5x + 1/5x + 24 = x

Solution

Find the fractional amount

3/7 + 1/5 + 1/5             <======

15/35 + 7/35 + 7/35   <======

29/35 x + 24 = x        <======

24 = x  -   29/35 x      <======

24 = 6 / 35 x              <======

24 * 35 = 6x               <======

840 = 6x                    <======

140  = x

Barb = 1/5 x = 1/5 * 140 = 28 miles

Amy = 3/7 x = 3/7 * 140 = 60 miles

Colin                                  28

Steve                                 24

Total                                140

Answer:

He drove 140 miles

Explaination:

!!

The correct answer is option B which is the value of Y will be 12.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

If the ordered pair (-5/2, y) lies on the graph of y=7-2x,

The value of Y will be calculated as:-

Y = 7 - 2x

Y = 7 - 2 ( -5/2 )

Y = 7 - ( - 5 )

Y = 7 + 5

Y = 12

Therefore the correct answer is option B which is the value of Y will be 12.

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Answer:Angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

ft7654

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Maya will need 3/4 cup of oats.

Given that Maya is using 3/4 of the amount of oats of the original recipe, in order to determine how many cups of oats will Maya need the following calculation must be made:

Therefore, Maya will need 3/4 cup of oats.

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we conduct a one-sided test on the statistic one tail of a critical area of distribution.

The critical value for a two-tailed test of h0: β1 = 0 at α = .05 in a simple regression with 22 observations is 4.35.

What is a critical value?

A critical value can be calculated for different types of hypothesis tests. The critical value of a particular test can be interpreted from the distribution of the test statistic and the significance level.

Test of significance of linear regression between x and y.

Null hypothesis: There is no significant linear relationship between x and y.

Alternative hypothesis: There is a significant linear relationship between x and y.

Test statistic:

F0 = Mean square due to regression/  mean squared error ~ F(1, n-2)

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The graph of function y = |x| - 2 by translating the parent function is shown in image.

We have to given that;

Function is,

⇒ y = |x| - 2

Now, We can formulate;

Since, Function is,

⇒ y = |x| - 2

It is translation of parent function y = |x| by 2 units down.

Thus, The graph of function y = |x| - 2 by translating the parent function is shown in image.

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Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

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The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

C)Open an account at bank which pays 9.5% compounded quarterly.

She will invest 200$ for 10 years.

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:

Yup you get it! (Probability doesn't change, it is constant for all trials)

Step-by-step explanation:

In binomial experiments, you have two conditions, a success and failure is how they often put it. In this experiment, the probability of success has to be the same for each trial to constitute it as a binomial experiment.

Basically there's 4 rule you need to satisfy for an experiment to be considered binomial:

1) Has to have fixed number of trials. Eg, n=1,2,3.....x x= finite number (we cannot have infinte trials)

2) Each trial is independent of one another. (One trial doesn't influence another trials probability/outcome)

3) Only two outcomes (very important) because as name suggests bi- (bi usually means two)

4) Probability of each outcome/condition is constant from one trial to another

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

2.5%

Step-by-step explanation:

Since the mean is 53.2, a fuel consumption of 43.6 mpg is 53.2−43.6=9.6 mpg less than the mean, which is 2 standard deviations.

By the Empirical Rule, we know that about 95% of the data lies within 2 standard deviations of the mean. Therefore, 100%−95%=5% of the data lie more than 2 standard deviations away from the mean.

Since the distribution of hybrid vehicle fuel consumptions is symmetric, about half of the remaining 5% will lie to either extreme. So about 2.5% of fuel consumptions are less than 43.6 mpg.

The normal distribution is a symmetric probability distribution about the mean. The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is 2.5%.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Given that the mean is 53.2, while the standard deviation is 4.8 mpg. Therefore, Accoding to the emperical rule, we can write the values as,

μ+3σ = 67.6

μ+2σ = 62.8

μ+σ = 58

μ = 53.2

μ-σ = 48.4

μ-2σ = 43.6

μ-3σ = 38.8

Therefore, The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is,

Percentage = (0.15 + 2.35)% = 2.5%

Hence, The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is 2.5%.

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Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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The slope of the relation is 1/4

You should know that slope is the rate of change of y with respect to x.  slope is denoted by change in y over change in x

The table of values is given as:

x −2 −1 0 1 2

y −13 −9 −5 −1 3

The slope is calculated as:

Slope = y₂ - y₁/x₂ - x₁

So, we have

Slope = 2 - 1/3 + 1

Evaluate the like terms

Slope = 1/4

In conclusion, the slope of the relation is 1/4

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The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Hello!

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If the scale factor is 1 : 12, then we must take 5.4 and multiply it times 12:

5.4 : (5.4*12)

5.4 : 64.8

So the actual width is 64.8 yd. Hope it helps you!

~SparklingFlower

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

The Corollary to the polygon is explained below and the  formula to find the measure of each interior angle is  " (n - 2)×180°/n "   .

The Corollary to the polygon Angle Sum Theorem states that : the sum of the interior angles of a regular n gon is written as :

that means , ⇒ Sum of interior angles = (n - 2) × 180° ...equation(1)

In a regular "n-gon" , all the interior angles are said to be congruent.

Let "x" be  measure of each interior angle of a regular n-gon.

So , we can write ;

⇒ Sum of interior angles = (n)×(x)  ;

Equating the above expressions with equation(1),

⇒ (n)×(x) = (n - 2) × 180°  ;

On Solving for x,

⇒ x = (n - 2)×180°/n  ;

Therefore, the measure of each interior angle of a regular "n-gon" is x = (n - 2)×180°/n  .

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Answer: 1/4x+2

Step-by-step explanation: I work it backwards by plugging the x and y values into the possible answers till it works.

Answer:

1/20

Step-by-step explanation:

Each child got 1/20 gallon of milk, because 1/20 * 5 is 4/20, which can be simplified to 1/4.

Answer:

12x+10

Step-by-step explanation:

10x+2(x+5)

10x+2x+10

12x+10

Answer: No, (2,4) is not a solution to the equation y = x-2

===============================================

Explanation:

We can show this by plugging x = 2 into the equation. We should get y = 4 if (2,4) was a solution

y = x-2

y = 2-2 ... replace x with 2

y = 0

Since we didn't get y = 4, this means (2,4) is not a solution

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

A similar method would be to do these steps

y = x-2

4 = 2-2 ... replace x with 2, replace y with 4

4 = 0 ... false equation

The false equation shows y = x-2 is not true when (x,y) = (2,4)

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

The graph of y = x-2 does not have the point (x,y) = (2,4) on the line.

So this is a visual way to confirm (2,4) is not a solution to y = x-2.

See the graph below.

(2, 4) is not a solution to the equation y = x - 2.

Given,

(2, 4)

We need to see whether (2, 4) is a solution to the equation y = x - 2.

The solutions are the values that satisfy the equation.

Example: y = x + 1

(1, 2) is a solution to y = x + 1.

( 1, 2 ) = ( x, y )

2 = 1 + 1

2 = 2

We have,

(2, 4) = (x, y)

y = x - 2

Put x = 2 and y = 4

4 = 2 - 2

4 = 0

Which is not true.

Thus (2, 4) is not a solution to the equation y = x - 2.

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Answer:

f(b) = ab+ b

Step-by-step explanation:

Given f(x) = ax + b

To find f(b) plug b in for x.

f(b) = ab + b

Answer:

15

Step-by-step explanation: 20+10+3+30 =30