Find the radius of a circle in which a 24 cm chord is 4 cm closer to the center than a 16 cm chord. Round your answer to the nearest tenth.

Let L, S, and M, denote the number of orders served by Laura, Sam, and Mighuel, respectively, on Monday at the school cafeteria.

Given that the total 121 orders were served,

Given that Miguel served 7 fewer orders than Laura,

Given that Sam served 4 times as many orders as Miguel,

Substitute the values of 'L' and 'S' in equation (1),

Simplify the above expression,

The corresponding values of L and S will be,

Thus, Laura served 26 orders, Sam served 76 orders, while MIguel served 19 orders on Monday at the school cafeteria.

There are eight quartion in the quiz and two question missed. So Emily solved six question of the quiz.

Determine the accuracy of Emily.

So Emily's accuracy is 75% and option B is correct.

w= -7

Explanation

Step 1

The addition property of equality and subtraction property of equality are similar. Adding or subtracting the same number to or from both sides of an equation keeps both sides equal, so we can use this fact to isolate w

a) subtract 6 in both sides of the equation

Step 2

The division property of equality states that when we divide both sides of an equation by the same number, the two sides remain equal.so

b) divide both sides by 4

therefore, the answer is

w= -7

I hope this helps you

Answer: B. 3/5

This question can be solved by using trigonometric identities.

The marginal error is 0.0240

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.576, 0.624).

Given,

The percentage of students surveyed = 60%

Number of athletes = 1600

Confidence interval = 95%

We have to find the marginal error and 95% confidence interval of the study;

The following results are obtained from a sample of n people that were surveyed, with a probability of success of  π and a level of confidence of 1 - ∝

π ± z [tex]\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

Where,

z is the z score with a p value of 1 - ∝/2

Here we have,

n = 1600 and π = 0.6

95% confidence level

So ∝ = 0.05 , z is the value of Z that has a pvalue of  1 - 0.05/2 , so Z = 1.96.

Then, the margin of error is;

M = [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

M = [tex]1.96\sqrt{\frac{0.6.0.4}{1600} }[/tex]

M = 0.0240

M = 2.40 percentage points.

Lower limit of the interval;

π - M = 0.6 - 0.0240 = 0.576

Upper limit of the interval;

π + M = 0.6 + 0.0240 = 0.624

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.576, 0.624).

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Answer: 16 or 4

Step-by-step explanation:

-6-10=-16

10-6=4

Question : Suppose A and B are points on the number line. If AB=10 and B lies at -6, where could A be located?

Answer: 16

176.4

as the triangle are similar we can set a proportion

Step 1

find the YZ value

a) let

so,for triangle XZW

and for triangle XYV

as the ratios are equal, we can set a proportion

b) now,solve for YZ

so

YZ=22.4

Step 2

find the length of the side WZ

a) let

hence

set the proportion and solve for YZ

Step 3

finally, find the perimeter of triangle XZW

Perimeter is the distance around the edge of a shape,so

replace and calculate

therefore, the answer is

176.4

I hope this helps you

Answer: undefined

The slope of this graph is undefined because it does not run on the horizontal

Since, slope = y2 - y1 / x2 - x1

Therefore, x2 - x1 = 0

Slope = y2 - y1 / 0 = undefined

The procedure to construct the graph of the hyperbola is described as follows:

The equation of a vertical hyperbola with center (x*, y*) is given according to the equation presented as follows:

(y - y*)²/a² - (x - x*)²/b² = 1.

This means that the hyperbola opens up vertically, up and down.

The equation of the hyperbola in this problem is given as follows:

(y + 2)²/36 - (x + 5)²/64 = 1.

Thus the coordinates of the center are given as follows:

(-5, 2).

The numeric value of coefficient a is calculated as follows:

a² = 36 -> a = 6.

Meaning that the coordinates of the vertices of the hyperbola are given as follows:

The slopes of the asymptotes of the parabola are given according to the rule presented as follows:

±a/b.

The coefficient b is calculated as follows:

b² = 64 -> b = 8.

Hence:

Since the asymptotes pass through the center, the equation is:

y - 2 = ± 3/4(x + 5).

The graph is given by the image at the end of the answer.

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19 in

1 yd

2ft

32 in

First, we have to convert all the length into a unique unit:

For example, inches:

Since

1 ft = 12 inches

2 ft = 2 x12 = 22 inches

1yd = 36 inches

Now, we have to order from least to greatest:

19 in-22in -32in-36in

In the original units:

19 in , 2ft, 32in ,1yd

The mode is the number that appears most or occurs most frequently. Therefore, the mode of the data set below can be calculated below

Let's rearrange the data

The mode will be

If 19% say that math is their favorite subject, with a margin of error of 2.5%, then the confidence of interval is:

b) The confidence of interval is the range of values in which you think the study or the values are going to fall between if anyone redo the study, it doesn't contain the margin of error because this percentage means the probability that the values aren't going to fall between the confidence of interval.

In polar coordinates, the x variable is given as

So, we have the equation

By dividing both sides by cosine of thetat, we get

since

The above result is equivalent to:

1 lote = 5/8 cup yellow + 5/8 cup blue

29 lotes = 29(5/8) +29(5/8) cups

29 lotes = 58(5/8)= (58*5)/8=290/8=145/4

145/4 =35.25 cups of paint

Answer:

Step-by-step explanation:

The answer is c! :)

Answer:

The answer is B. 31, 29, 44, 28.

Step-by-step explanation:

Answer:

y=(x-4)^2 -2  

Step-by-step explanation:

the negative four means move to the right if it is positive it moves to the left in a graph

Triangles' resemblance is reflected by their congruence. If the matching sides and angles of two triangles match, the triangles are said to be congruent.

For triangles, there are five primary congruency rules: Side-Side-Side is an SSS criterion. The side-angle-side SAS criterion. Angle, Side, Angle is an ASA criterion. Angle-Angle-Side is an AAS criterion.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

An isosceles triangle in geometry is one with at least two equal-length sides. It is sometimes stated as having exactly two equal-length sides and other times as having at least two equal-length sides, with the latter version adding the equilateral triangle as one of the possible configurations.

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We have that the sample consist in n=13 students. The percentile formula is given by

where x denotes the percentaje. In the first case, p=38, then, we have

then, we get

that is, P_38 corresponds to 41 miles driven.

In the second case, by substituting x=60 in our formula, we get

which gives

that is, P_60 corresponds to 56 miles driven.

Then, the answers are:

This means that approximately 38% of the data lie below 41, when the data are ranked.

This means that approximately 60% of the data lie below 56, when the data are ranked.

Given data:

The given points are (5, 4) and (-1, 14).

The distance between the given points is,

Thus, the distance between the given points is 2√(34).

Explanation

In the question, we are required to go through the image and describe how to move in the given directions. The solution can be seen below.

Number 1: The computer store A to the food store B.

Answer: In this case, the individual would move down for 6 city blocks

Number 2: The computer store A, to the hardware store C.

Answer: In this case, the individual will move down for one block then move right for 5 blocks

Number 3: The computer store A, to the hardware store C.

Answer: In this case, the individual will move down for five blocks and move left for 5 blocks

By using the given zeros, we will see that the simplest polynomial is:

p(x) = x^3 - 7x - 6

So the correct option is the second one.

Remember that the first simplest polynomial with the zeros x₁, x₂, x₃, ..., xₙ, is written as:

p(x) = (x - x₁)*(x - x₂)*...*(x - xₙ)

Here we have only 3 zeros, which are -1, -2, and 3, then we can write:

p(x) = (x - (-1))*(x - (-2))*(x - 3) = (x + 1)*(x + 2)*(x - 3)

Expanding the polynomial we get:

p(x) =  (x + 1)*(x + 2)*(x - 3)

p(x) =  (x^2 + x + 2x + 2)*(x - 3)

p(x) = (x^2 + 3x + 2)*(x - 3)

p(x) = x^3 + 3x^2 + 2x - 3x^2 - 9x - 6

p(x) = x^3 - 7x - 6

Then the correct option is the second one.

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Answer:

The answer will be A) 1847

Hello there. To solve this question, we need to remember some properties about quadratic functions and its key features.

Let f(x) = ax² + bx + c, for a not equal to zero.

The main key feature we can see at first glance is the leading coefficient a.

If a < 0, the parabola (the graph of the function) will have its concavity facing down.

If a > 0, the parabola will have its concavity facing up.

It also means the function will have either a maximum or a minimum point on its vertex, respectively.

Another key feature of the function is the y-intercept, i. e. the point in which the x-coordinate is equal to zero, is (0, c).

The x-intercepts of the graph (in plural), are the roots of the function.

If b² - 4ac > 0, we'll have two distinct real roots.

If b² - 4ac = 0, we'll have two equal real roots.

If b² - 4ac < 0, we'll have two conjugate complex roots (not real roots)

This b² - 4ac is the discriminant of the function.

The roots can be found by the formula:

x = (-b +- sqrt(b² - 4ac))/2a

The vertex of the graph can be found on the coordinates (xv, yv), in which xv is calculated by the arithmetic mean of the roots

xv = ((-b + sqrt(b²-4ac))/2a + (-b-sqrt(b²-4ac))/2a)/2 = -b/2a

The yv coordinate can be found by plugging in xv in the function

yv = a(-b/2a)² + b(-b/2a) + c, which will be equal to -(b²-4ac)/4a.

Okay, here we have this:

Considering the provided measures, we are going to calculate the area of the triangle, so we obtain the following:

So to calculate the area of the triangle we are going to use Heron's formula. so, we have:

And S is equal to (a+b+c)/2, let's first calculate S and replace with the values in the formula:

S=(47+59+65)/2=171/2=85.5

Replacing:

Finally we obtain that the area of the triangle is approximately equal to 1337.3 ft^2

Given

Starting at 0 on a number line, a point is moved 21 units, then 53 units, then 721 units, and finally negative-50 units.

To find:

Where has the point moved to?

Explanation:

It is given that,

Starting at 0 on a number line, a point is moved 21 units, then 53 units, then 721 units, and finally negative-50 units.

That implies,

Since starting at 0 on a number line, a point is moved 21 units.

Then,

Also, then 53 units.

Then,

Also, then 721 units.

Then,

And, finally negative-50 units.

Then,

Hence, the point is moved to 745.

Answer:

The two lines are parallel.

Explanation:

We have the equations:

Let's solve the first one for y, so we get the same formatting on both euqations:

SInce the two lines have the same slope, 2/5, the two lines are parallel.

Given: the dimensions of the rectangular prism is 14 x 12 x 28 in cm

Given:

Function is:

Find-:

Check for solution

Explanation-:

The value of "y" is:

For (0,8)

Check value of "y" at x = 0 then,

So (0,8) it is not a solution.

Check (3,-7) the value of "x" is 3

So (3,-7) is the solution of function.

Check for (1 , 2) value of "x" is 1.

So, (1,2) is the solution.

Check for (4,-5) the value of "x" is 4.

So, (4,-5) is not a solution

Answer: 8i

Given any three numbers a, b, and c.

By the distributive law, we must have:

a x (b + c) = (a x b) + (a x c)

Now to find 8 x78

8 x 78 = 8 x (70 + 8) = (8 x 70) + (8 x 8) = 560 + 64 = 624