Tara has $55.00. Her brother has $115
Tara saves $7 per week. Her brother saves $5 per week. After x weeks, they will have
saved the same amount. What equation shows this relationship?

Answer:

28 pages per day

Step-by-step explanation:

126 divided by 4.5 = 28

I hope this helps :3

Answer:

Students in her classes At the beginning of the semester, but 13 students withdraw from her classes before Test three. So now she has 150 students. If she has one classes in total, in each class has an equal number of students. How many students are in each class round your answer to the nearest ones? Well, first of all, if she only has one class, then there's 150 students in that class is or class, this is the middle school math teacher signing out.

lazyuser30

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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Answer:

c

Step-by-step explanation:

i did the assignment on E2020

Answer:

c

Step-by-step explanation:

Answer:

627% 6.285 6. 28 21 6 3

Step-by-step explanation:

Um.. I did it from greatest to least but here it is!

The solution to the system of equations 6x - y = 21 and -5x + y = -18 is x = 3 and y = -3.

To solve the system of equations:

6x - y = 21   ...(1)

-5x + y = -18  ...(2)

We can use the method of elimination by adding the two equations together to eliminate the variable y:

(6x - y) + (-5x + y) = 21 + (-18)

Simplifying the equation:

6x - y - 5x + y = 21 - 18

Combining like terms:

x = 3

Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1):

6x - y = 21

6(3) - y = 21

18 - y = 21

Subtracting 18 from both sides:

-y = 3

Multiplying by -1 to isolate y:

y = -3

Therefore, the solution to the system of equations is x = 3 and y = -3.

To verify this solution, we substitute these values back into the original equations:

6x - y = 21

6(3) - (-3) = 21

18 + 3 = 21

21 = 21

The equation holds true for x = 3 and y = -3.

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Suppose 2022 balls are randomly distributed into 100 boxes. Let X be the total number of balls in the first 20 boxes.  P(X = 90) ≈ 0.  VarX = 323.52.

a) To find P(X = 90), we can use the binomial probability formula:

P(X = k) = C(n,k) * p^k * (1-p)^(n-k)

where C(n,k) = n! / (k! * (n-k)!)

In this case, n = 2022, k = 90, p = 20/100 = 0.2

P(X = 90) = C(2022,90) * 0.2^90 * 0.8^(2022-90)

P(X = 90) = 1.19 * 10^(-37)

Therefore, P(X = 90) ≈ 0.


b) To find VarX, we can use the formula for the variance of a binomial distribution:

VarX = n * p * (1-p)

In this case, n = 2022, p = 0.2

VarX = 2022 * 0.2 * 0.8

VarX = 323.52

Therefore, VarX = 323.52.

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Answer:

y = (3/5)*x

Step-by-step explanation:

First, we can use the slope-intercept form of a line, or y=mx+b

To find the slope, m, we can find

(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have

(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5

Therefore, our equation is

y = (3/5)x + b

To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in

y = mx + b

0 = (3/5)*0 + b

0 = b

Our equation is therefore

y = (3/5)*x + 0

= (3/5)*x

a)  For this study, we should use t-distribution.

b) The Null hypothesis is 25 mpg and Alternative hypothesis is less than 25mpg.

To determine what can be concluded at the 0.01 level of significance, we can conduct a hypothesis test.

Let's denote the population mean highway mileage as μ.

a. For this study, we should use a one-sample t-test since we have a sample mean (23.2 mpg) and want to compare it to the manufacturer's claim (25 mpg).

We also have the sample standard deviation (6.2 mpg) but since the population standard deviation is unknown, we use the t-distribution.

b. The null and alternative hypotheses for this test would be:

Null hypothesis (H₀): The true mean highway mileage is equal to the manufacturer's claim of 25 mpg.

Alternative hypothesis (H₁): The true mean highway mileage is less than 25 mpg.

Symbolically:

H₀: μ = 25

H₁: μ < 25

H₀: The average highway mileage is 25 mpg.

H₁: The average highway mileage is less than 25 mpg.

The significance level, α, is given as 0.01, which represents the probability of rejecting the null hypothesis when it is true.

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The best point estimate for the mean response at the new value of x is 1.32209.

Based on the output of the predict() function in R, the point estimate for the mean response at the new value of x is given as 1.32209. This means that, on average, we expect the response variable to have a value of 1.32209 when the predictor variable (x) takes on the new value.

In simple linear regression, the point estimate represents the best guess for the mean response at a given predictor value. The output also provides confidence intervals, where the lower limit is -0.1830998 and the upper limit is 2.82728. However, the question asks for the best point estimate, which is the single value that is considered the most reliable estimate for the mean response.

The phrase "There is statistical evidence that the mean response at the new value of x is different from zero" suggests that the point estimate of 1.32209 is statistically significant and significantly different from zero. In other words, there is evidence to suggest that the mean response is not equal to zero at the new value of x.

To further understand the concepts of point estimates, confidence intervals, and statistical significance in regression analysis, you can learn more about hypothesis testing and confidence intervals in statistical analysis.

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Answer:

the first one is right

Step-by-step explanation:

theres a x intercept of -3 and shows allt he numbers whole know as real numbers

The graph of option A shows the function that has a domain of all real numbers and an x-intercept of –3

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function. The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis, where y is zero. the Values of xintercept for an function f(x) are also called roots or solution of f(x) = 0 equation.

The domain of a function is the set of values for which the given function is defined.

We have been given an x-intercept of -3 which shows all the numbers whole know as real numbers.

The graph of option A shows the function that has a domain of all real numbers and an x-intercept of –3

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Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

Answer:

6 hours

Step-by-step explanation:

Answer:

shaded area = 1/2

shaded area = 0.5

shaded area = 50%

Step-by-step explanation:

Answer:

shaded area = 1/2

shaded area = 0.5

shaded area = 50%

Step-by-step explanation:

mark brainliest Is correct on khan academy

Answer:

y=1/5x+3

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.

Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)

Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5

Equation is: y=1/5x+3

Step-by-step explanation:

hope you can understand

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

The water output rate for Reed's sprinkler is 25L/hour. We have to find the water output rate for each sprinkler if the sum of the two rates was 45L per hour. We know that the Rogers family sprinkler was used for 15 hours and the Reed family sprinkler was used for 30 hours.

Therefore the combined time the two sprinklers were used for was:15 + 30 = 45 hours

Therefore, The Rogers family's sprinkler output rate: r₁

The Reed family's sprinkler output rate: r₂

Given that the sum of the two rates was 45L per hour: r₁ + r₂  = 45 -----Equation (1)

Now, let's calculate the water output of each sprinkler using their respective times:

Water output of Rogers' sprinkler = r₁ × 15

Water output of Reed's sprinkler = r₂  × 30

The total output was 1050L:

r₁ × 15 + r₂  × 30 = 1050 -----Equation (2)

We have two equations and two variables. We will solve for r₁ and r₂ :

r₁ + r₂ = 45r₂ = 45 - r₁

Substituting the value of r₂ in equation (2), we get:

r₁ × 15 + (45 - r₁) × 30 = 105015r₁ + 1350 - 30r₁

= 1050-15r₁

= -300r₁

= 20r₂

= 45 - r₁

= 45 - 20 = 25

Therefore, The water output rate for Rogers' sprinkler is 20L/hour.

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Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.

Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.

The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.

Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.

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The radian value of the angle θ where θ lies between 0 and 2π (or 0 and 360 degrees) and the terminal arm in standard position passes through the coordinate (-6, 1) on the unit circle can be found using the inverse trigonometric function.

Given that the terminal arm in standard position passes through the coordinate (-6, 1) on the unit circle, we can determine the angle θ using the inverse trigonometric function.

The unit circle has a radius of 1, so the coordinates (-6, 1) do not lie on the unit circle. To find the corresponding angle θ, we can use the arctan function (or tan⁻¹).

θ = arctan(y/x) = arctan(1/(-6)) = arctan(-1/6)

Since the angle θ is between 0 and 2π (or 0 and 360 degrees), we need to find the reference angle. The reference angle for arctan(-1/6) is the angle whose tangent is the absolute value of -1/6.

Reference angle = arctan(|-1/6|) = arctan(1/6)

However, since the given point lies in the second quadrant, the angle θ will be π (180 degrees) minus the reference angle.

θ = π - arctan(1/6)

Therefore, the radian value of the angle θ where θ lies between 0 and 2π and the terminal arm passes through the coordinate (-6, 1) on the unit circle is π - arctan(1/6).

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The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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The conversion result of decimal numbers to hexadecimal representations of 2's complement numbers are the following

a) 100

b) 6F

c)75BCD15

d)FFFFFF04

A decimal number can be represent the two parts one is whole and a fractional part separated by a decimal point. The decimal point is represented by dot inbetween the whole and fractional part. Hexadecimal is one of number system with base 16. That means 16 possible digits used to represent numbers. Steps to convert a decimal number to hexadecimal number :

Representations of 2's complement numbers :

a) decimal number = 256

using above rules, it's hexadecimal representations of 2's complement numbers is 100.

b) decimal number = 111

it's hexadecimal representations of 2's complement numbers is 6F.

c) decimal number = 123,456,789

it's hexadecimal representations of 2's complement numbers is 75BCD15.

d) decimal number = -44

it's hexadecimal representations of 2's complement numbers is FFFFFF04.

Hence, required values are obtained.

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The pressure on a brake pad has an area of 0.35 m² and a force of 21 N applied on it is equals to the 60N/m².

We have, area of a brake pad, A

= 0.35 m².

Force applied on brake pad, F = 21 N, we have to determine the value of pressure. Pressure is defined as the force acting perpendicularly on a unit area of the object. The standard unit of pressure is Pascals = 1 N/m². Pressure, force and area relation : pressure is calculated as the force divided by the area where the force is applied. So, in this case we have both force and area. That is pressure is, P = applied force/Area, so pressure on brake pad, P = 21 Newton/0.35 m²

=>\( P = \frac{2100}{35}\)N/m²

=> P = 60 N/m²

Hence, the required pressure value is 60 N/m².

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Complete question:

A brake pad has an area of 0.35 m² and has a force of 21 N applied to it what’s the pressure in N/m².

Answer:A, 52

Step-by-step explantion:

Answer:

y = 1/2x - 1

Step-by-step explanation:

When you put all three equations from the question into a graph and then input the equation i just gave you it will be perpendicular to line B & C, also it will be parallel to line A. Finally you can check yourself that it also has a y-intercept of (0,-1) & an x-intercept of (2,0). Hopefully this helps out & gets brainliest. xD

Answer:

y=-4/3

Step-by-step explanation:

i hope this helps

\(a_n = a_{(n-1)} + 10, \\\) is the recursive formula for the given sequence.

The given sequence is an arithmetic sequence with a common difference of 10. To express the terms of the sequence using a recursive formula, we can use the general form for an arithmetic sequence:

\(a_n = a_{(n-1)} + d\)

where:

\(a_n\) represents the nth term of the sequence,

\(a_{(n-1)\) represents the (n-1)th term of the sequence,

d represents the common difference.

In this case, the first term a_1 is 10, and the common difference d is 10. Using the formula, we can express the terms of the sequence as follows:

\(a_1 = 10\\\\a_n = a_{(n-1)} + 10\)

Therefore, the recursive formula for the given sequence is:

\(a_1 = 10\\\\a_n = a_{(n-1)} + 10, f o r\ n \geq 2\)

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