Which graph shows the solution to this system of inequalities?
y<-x+1
y≤2x-3

Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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The test statistic is approximately -2.03.

To calculate the test statistic, we can use the one-sample t-test formula:

t = (x - μ) / (s / √n)

Where:

x is the sample mean,

μ is the hypothesized population mean,

s is the sample standard deviation,

n is the sample size.

In this case, we have:

x = 44.3 (sample mean)

μ = 44.6 (hypothesized population mean)

s = 1.01 (sample standard deviation)

n = 46 (sample size)

Plugging in the values, we can calculate the test statistic:

t = (44.3 - 44.6) / (1.01 / √46)

= -0.3 / (1.01 / √46)

= -0.3 / (1.01 / 6.782)

≈ -0.3 / 0.148

Rounding to 2 decimal places, the test statistic is approximately -2.03.

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Complete question =

Testing:

H0:μ=44.6

H1:μ<44.6

Your sample consists of 46 subjects, with a mean of 44.3 and standard deviation of 1.01.

Calculate the test statistic, rounded to 2 decimal places.

Answer:

How many ways can they fill the 4 positions?

The Answer is B. 210

Answer: b. 210

Step-by-step explanation:

Answer:

-56c+ 30

Step-by-step explanation:

4c + 10(3 – 6c)

Rearrange terms

4c + 10(3 – 6c)

4c+10(-6c+3)

Distribute

4c+10(-6c+3)

4c-60c+30

Combine like terms

4c-60c+30

-56c+30

Common factor

-2(28c-15)

Distribute

-2(28c-15)

-56c+30

Solution:

-56c+30

Answer: The answer is 4×18= 72

Step-by-step explanation: Since he ate an eighteenth of his biscuits, which in the question is said to be 4 biscuits, an eighteenth of the biscuits he has is 4. There are 18 eighteenths in 1 whole so we multiply 4 by 18 in order to find the answer which is 72

Answer:

80

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is base x width x height- 10x4x2

Answer:

can be written as this in interval notation

\(( - 4 . \infty ) \)

Step-by-step explanation:

since x is greater than -4 it is always going to be positive infinity on the right with -4 on the left.

if it is less than -4 then it is always going to be negative infinity on the left with -4 on the right

You can write the interval notation for the given set as:
(-4, ∞)

To write the set {x | x > -4} in interval notation, follow these steps:

1. Identify the lower limit of the interval: In this case, the lower limit is -4.
2. Identify the upper limit of the interval: Since x > -4, there is no upper limit, so we'll use infinity (∞) as the upper limit.
3. Determine whether the lower and upper limits are included in the set: In this case, x is strictly greater than -4, so -4 is not included. Therefore, we use the parenthesis "(" for the lower limit.

Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.

Now, you can write the interval notation for the given set as:

(-4, ∞)

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Answer:

8/21    ≈0.381

Explanation:

if you need the explanation message/comment under this answer for it :)

Answer:

m < 1 = 80

m < 2 = 70

Step-by-step explanation:

As we can see in the figure that

\(a || b\)

Plus line s and t are considered to be transversals

That results into

m < 1 and 80

i.e alternate angles

And as we know that alternative angles are equal to each other

So,

m < 1 = 80

Moreover,

m < 2 = 70

As corresponding angles are equal to each other

Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things

Jason needs 584 square inches of paper to wrap the entire box which is a rectangular prism. 

To calculate the surface area of ​​a right-angle prism, we need to find the area of ​​each face and add them together.

A right-angle prism has six faces, so find the area of ​​each face.

front:

Length x Height = 18 x 4 = 72 square inches

Back side:

Length x Height = 18 x 4 = 72 square inches

Up:

width x length = 10 x 18 = 180 square inches

under:

width x length = 10 x 18 = 180 square inches

Left side:

Height x width = 4 x 10 = 40 square inches

Right side:

Height x width = 4 x 10 = 40 square inches

Then add the areas of all six faces to get the total surface area of ​​the box.

72 + 72 + 180 + 180 + 40 + 40 = 584

Therefore, Jason needs 584 square inches of paper to wrap the entire box.

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Answer:

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).

Answer:

The coordinates of vertex A′ are (1, 1).
The coordinates of vertex B′ are (2, 3).
The coordinates of vertex C′ are (2, 1).

Step-by-step explanation:

Plato

Answer:

6 more clowns

Step-by-step explanation:

We write the equation as 4+x=10

subtract both sides by 4

x=6

(plz give brainliest)

Answer:

6 clowns in all that what I got for doing the math

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

Answer:

17.6

Step-by-step explanation:

The values of A and B are -2 and 3 respectively, the line 2x - 3y = 6 is equivalent to the line x = 3.

To find the values of A and B, we can substitute the coordinates (0, A) and (B, 0) into the equation 2x - 3y = 6.

For the point (0, A):

2(0) - 3(A) = 6

0 - 3A = 6

-3A = 6

A = -2

So, A = -2.

For the point (B, 0):

2(B) - 3(0) = 6

2B = 6

B = 3

So, B = 3.

Therefore, the values of A and B are A = -2 and B = 3.

b) Now that we know the values of A and B, we can substitute them into the equation 2x - 3y = 6:

2x - 3y = 6

2x - 3(0) = 6 (substituting y = 0)

2x = 6

x = 3

So, the line 2x - 3y = 6 is equivalent to the line x = 3.

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Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

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_____|______|______

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The price of each ounce of shampoo for the 20-oz bottle is:

And the price of each ounce of shampoo for the 12-oz bottle is:

Answer: The 12-oz bottle is the best buy.

The answer is “40 years old individuals would smoke with the probability do, so with the probability of 24.22%”

A probit model is a type of regression in statistics where the dependant variable can only take two values.

We have:

Regress smoker on quadratic polynomials of age.

If we use probit regression.

The statement 40 years old individuals would smoke with the probability do, so with the probability of 24.22% is wrong about the statement.

Thus, the answer is “40 years old individuals would smoke with the probability do, so with the probability of 24.22%”

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The probability that all three selected students are boys is approximately 0.3929 or 39.29%.

To calculate the probability that all three selected students are boys, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 12 boys and 4 girls in the class, making a total of 16 students. We want to select three students, and we want all three of them to be boys.

The total number of ways to select three students from the class is given by the combination formula, which can be represented as:

Total Possible Outcomes = nCr(16, 3) = (16!)/((16-3)! * 3!) = 560

Now, let's consider the number of favorable outcomes where all three selected students are boys. Since there are 12 boys, we can choose three of them using the combination formula:

Favorable Outcomes = nCr(12, 3) = (12!)/((12-3)! * 3!) = 220

Therefore, the probability that all three selected students are boys is:

Probability = Favorable Outcomes / Total Possible Outcomes = 220 / 560 ≈ 0.3929, or approximately 39.29%.

Hence, the probability that all three selected students are boys is approximately 0.3929 or 39.29%.

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Answer:

Pretty sure that the answer is C.

Step-by-step explanation:

Answer:

It's A I'm pretty sure

Step-by-step explanation:

Answer:

The population this year would be 56.

Answer:

45

Step-by-step explanation:

Answer:

suppose length is x

breadth is y

now,

      x.y=18

      2(x+y)= 18

x= 3

y=6

Step-by-step explanation:

To find the number of points on the curve where the tangent line is horizontal, we need to take the derivative of the equation and solve for y'.There are two such points on the curve where the tangent line is horizontal.

To find the points on the curve x^2/3 + y^2/3 = 9 in the xy-plane where the tangent line is horizontal, we first need to take the derivative of the equation with respect to x. Using the chain rule, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3)*y' = 0

Solving for y', we get:

y' = -x^(1/3)/y^(1/3)

To find the values of x where the tangent line is horizontal, we need to set y' equal to zero. This means that:

-x^(1/3)/y^(1/3) = 0

This equation is only satisfied when x = 0. We can plug this value of x back into the original equation to find the corresponding y-coordinates:

(0)^2/3 + y^2/3 = 9

y^2/3 = 9

y^2 = 27

This gives us two possible y-coordinates: y = sqrt(27) and y = -sqrt(27). Therefore, there are two points on the curve where the tangent line is horizontal, namely (0, sqrt(27)) and (0, -sqrt(27)).

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

i think its 5x3 and 5x3=15

Step-by-step explanation:

Your Welcome!

If Harriet Hanson Robinson (Larcom) had started her career in the mill as a machine worker instead of as a doffer, her initial impression of the mill may have been significantly different.

Here are a few ways her perspective might have been altered:

Physical Experience: As a machine worker, Larcom would have been directly involved in operating the machinery. She would have experienced the physical demands and potentially dangerous conditions associated with working with heavy machinery. This hands-on experience might have given her a greater appreciation for the risks and challenges faced by the workers. Social Interaction: Machine workers often worked in close proximity to each other, tending to the machines and coordinating their tasks. By working alongside her fellow machine workers, Larcom would have had more direct contact and interaction with her peers. This could have provided her with a deeper understanding of the camaraderie, unity, and challenges faced by the workers as a community.

Skill Development: Operating the machines required a certain level of technical skill and knowledge. If Larcom had started as a machine worker, she would have gained expertise in machine operation and maintenance. This technical knowledge could have given her a different perspective on the machinery, its intricacies, and its impact on the workers. Perspective on Management: As a machine worker, Larcom might have had more direct interactions with mill managers and overseers. This could have given her insights into the management practices, decision-making processes, and power dynamics within the mill. Such firsthand experiences might have influenced her initial impression of the mill's management and their treatment of workers.

Overall, starting as a machine worker would have provided Larcom with a different vantage point and firsthand experience of the mill's operations. This could have shaped her understanding of the work environment, the challenges faced by the workers, and the dynamics between management and labor.

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There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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Applying the midsegment theorem and the definition of isosceles triangle:

DE = 4.5 units

m∠CAB = 45°

The image that shows ΔABC is attached below.

Since AB = BC, therefore, ΔABC is an isosceles triangle.

This implies that, the base angles will be equal.

Thus:

If m∠ABC = 90°, therefore,

m∠CAB = ½(180 - 90)

m∠CAB = 45°.

DE is the midsegment of the triangle, and is parallel to the third side, CA = 9 units.

Based on the midsegment theorem, we have the following equation:

DE = ½(9)

DE = 4.5 units.

Therefore, applying the midsegment theorem and the definition of isosceles triangle:

DE = 4.5 units

m∠CAB = 45°

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Answer:

4.5
45

Step-by-step explanation:

Answer:

Well the slope of this is 49 and y intercept is 28, hooe this helped

Answer:

Slope: 2/2 = 1

y-intercept: 2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

B) Copernicus rediscovered Aristarchus's heliocentric model. The event which took place during the Copernican revolution.

Answer: HELP

Step-by-step explanation:

HELP MEEEE