Attempt in Progress The table shown below gives seven pairs of x and y values. X Y 12 18 9 35 14 12 8 40 10 31 4 33 18 10 Using the regression of y on x, the predicted value of y for x = 15, rounded to two decimal places, is:

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

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Answer:

3

Step-by-step explanation:

The pattern is dividing 4 each time.

192/4=48

48/4=12

12/4=3

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The simplified expression for p(z), the profit the company earns, in dollars is: p(z) = -3z² + 18z

The set X is known as the domain of the function, and the set Y is known as the codomain of the function. A function from a set X to a set Y assigns each element of X to exactly one element of Y. Originally, functions were an idealization of how one variable depends on another.

First, let's substitute the expressions for r(z) and c(z) in the expression for p(z):

p(z) = r(z) - c(z)

p(z) = 60z - (3z² + 42z)

p(z) = 60z - 3z² - 42z

p(z) = -3z² + 18z

Therefore, the simplified expression for p(z), the profit the company earns, in dollars is:

p(z) = -3z² + 18z

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Using proportions, it is found that the radian measure of the central angle is given as follows:

\(\frac{4\pi}{3}\) radians.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The entire circumference is equivalent to a central angle of \(2\pi\) radians. Hence the radian measure of the central angle considering two-thirds of the circumference is given as follows:

\(\frac{2}{3} \times 2\pi = \frac{4\pi}{3}\)

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Answer:

Step-by-step explanation:

c edge

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Each angle on a square road sign measures 90 degrees.

A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.

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value of side y in the triangle is 4√5.

In geometry, the concept of similarity is used to describe two figures that have the same shape, but not necessarily the same size. In the case of triangles, two triangles are considered similar if their corresponding angles are equal and their corresponding sides are proportional.

In the first two triangle;

4/2=8/4 (sides are proportional)

Two angles are right angle (90°)

So, both triangles are similar by SAS rule.

According to similarity rule;

x/4=y/8  

y=2x

In the Second and third triangle

8/4=y/x=2(y=2x) (sides are proportional)

One angle is right angle in both triangle.

the Second and third triangle are similar by SAS rule.

According to similarity rule

y/8=10/y

Solving the proportion

y²=80

y=4√5

Hence, value of side y in the triangle is 4√5.

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Answer:

easy

Step-by-step explanation:

Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

How do you interpret the y-intercept in the context of the problem?

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

Step-by-step explanation:

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

2

Step-by-step explanation:

PEMDAS

(-3+4)2

(1)2

2x1=2

The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.

The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of

u1, u2 and u3.

The span of

{u1, u2, u3, u4}

will be a subset of the span of

{u1, u2, u3}.

This means that the span of

{u1, u2, u3, u4}

will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of

{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},

as there may be other vectors that are in the span of

{u1, u2, u3, u4}

but not in the span of {u1, u2, u3}. Hence, the statement is false.

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The complete question is

Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.

Answer:

x^3(x-4)

Step-by-step explanation:

x^4-4x^3

x^3(x-4)

Answer:

I'm sorry the calculator for geometry isn't working right. I'm so sorry

Step-by-step explanation:

Given:

Apply the laws of exponents:

Apply the properties of imaginary numbers:

Rewrite in standard complex form:

Answer:

\(\huge\bold\red{Answer:-}\)

No(0)Let the cost price of the 20 pens be ₹100.

Cost of each pen=₹100/20=₹5

Selling price of each 25 pens sold=₹100/25=₹4.

%LOSS:

If cost of each pen. = 5=100%

..selling price of each pen. = 4= ?%.

Cross multiply:5? =400

?=80%

So,%loss= 100%-80%=20%

The equation that can be used to find the Cost of each hat is:3x = 19.50

The cost of each hat is represented by the variable 'x'. Since Anne bought 3 hats, the total cost of the hats can be calculated by multiplying the cost of each hat by the number of hats. Therefore, the equation to find the cost of each hat can be written as:

3x = 19.5

In this equation, '3x' represents the total cost of 3 hats, and '19.50' represents the total amount Anne paid for the hats. By setting up this equation, we are expressing that the cost of each hat multiplied by 3 should equal the total cost.

To solve this equation for 'x', we can divide both sides by 3:

3x/3 = 19.50/3

This simplifies to:

x = 6.50

Therefore, the equation that can be used to find the cost of each hat is:

3x = 19.50

In this equation, 'x' represents the cost of each hat, and when multiplied by 3, it should equal the total cost of $19.50.

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Answer is given below in picture

I hope it helps.

Answer:

 55°

Step-by-step explanation:

The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

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The simplest form of the graph is 3x + 0y = 0

And the values of A and B are 3 and 0 respectively.

The point which is plotted in the graph : (3, 0)

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.

The given general form of equation is Ax+By+C= 0

So as in this graph it is clearly visible that:

A= 3 and B= 0

Thus we can write it as 3x + 0y = 0

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Answer:

x = 47

Step-by-step explanation:

Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is

78 - 35 = 43.

The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that

43 + 90 + x = 180.

Then we can simplify the equation:

133 + x = 180⇒

x = 180 - 133⇒

x = 47

Step-by-step explanation:

since sqrt(25)×sqrt(25) = 25, then x can be any number, because x = x in all cases. and then both sides of the equation are always equal, no matter what value we give x, as long as x is a factor in both sides.

sqrt(25)×x×sqrt(25) = 25x

is always true for every x.

if the question would be

sqrt(25)×x×sqrt(25) = 25

then the answer can only be x = 1. because for every other value of x the equality is destroyed.

Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Answer:

In order to solve a right triangle, you must first figure out which angle is the right angle. Knowing the right angle will also tell you which side is the hypotenuse, since the hypotenuse will always stand opposite the right angle. In this text, for the sake of consistency, in all triangles we will designate angle C as the right angle, and side c and the hypotenuse. To finish solving a right triangle, you then must either know the lengths of two sides, or the length of one side and the measure of one acute angle. Given either of these two situations, a triangle can be solved. Any further information about a triangle may be helpful, but it is not necessary.There are four basic techniques to use in solving triangles.Using the Pythagorean Theorem, once two sides are known, the third side can be calculated.Using the fact that the acute angles of a right triangle are complementary, once one acute angle is known, the other can be calculated.Using the definitions of the trigonometric functions, any two parts of a triangle can be related in an equation to equal a third part.Using the definitions of the inverse trigonometric functions, any two sides of a triangle can be related in an equation to equal the inverse function of an unknown acute angle

Step-by-step explanation:

Answer:

We know that:

1 inch in the drawing, equals 3 feet in the real room.

Then if the scale is 6 in by 4 in, the actual room is:

6*3ft by 4*3ft

18ft by 12ft.

The total area of the room is:

18ft*12ft = 216ft^2.

Now we know that the price of the carpet is $5,50 per square ft,

The area of the room is 216 ft^2, then if we want to carpet the whole room, we need to pay 216 times $5.50.

Cost = 216*$5.50 = $1,188

All four situations involve inference about a difference between two population means.

a. The National Assessment of Educational Progress (NAEP) is the largest national assessment of what students in the U.S. know and can do in various subject areas. Is the mean score for 8th graders in Texas on the NAEP math test higher than the national average of 281? This situation involves inference about a difference between two population means.

b. The mean score on the NAEP math test for 8th graders in Texas is compared to the mean score for 8th graders in California. This situation involves inference about a difference between two population means.

c. A school district uses questions from the NAEP math test to assess the effectiveness of a new computer-based math instruction. Students take the test before and after the intervention and the district looks for improvement. This situation involves inference about a difference between two population means.

d. A school district compares a computerized math program to individualized tutoring for 4th graders who have difficulty in math. They use questions from the NAEP math test in a pre-test and post-test design to assess improvement in math skills for the two groups. This situation involves inference about a difference between two population means.

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Answer:

Step-by-step explanation:

To solve this problem, we can use the following formula:

Total amount of money = Amount saved + Amount earned per week * Number of weeks

We want to find the number of weeks, so we can rearrange the formula to solve for Number of weeks:

Number of weeks = (Total amount of money - Amount saved) / Amount earned per week

Substituting the values we have:

Number of weeks = ($250 - $45) / $20

Number of weeks = $205 / $20

Number of weeks = 10.25

Therefore, it will take Wendell 10.25 weeks to have enough money to buy a new tennis racket.

I hope that helps! Let me know if you have any other questions.