Type the correct answer in each box.
The probabilities of a positive response for two government programs from the citizens in eight cities are given in the table.

City Positive Response
for Program 1 (%) Positive Response
for Program 2 (%)
Atlanta 77.80 82.10
Boston 86.40 86.60
Chicago 65.90 87.50
Dallas 73.80 80.90
Houston 69.70 79.40
Los Angeles 78.40 88.10
Miami 82.50 82.60
Newark 81.40 83.30
Total 68.80 81.70
The chance that a positive response is obtained from Chicago for program 1 is
%. The chance that a positive response is obtained from Chicago for program 2 is
%.

The semicircle above has a radius of r inches, The distance between the chord and the diameter in terms of r is √5 r/3 inches.

A chord of a circle can be defined as a line segment connecting any two points on the circumference. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.

To find the distance required one can use either the Pythagorean theorem or the trigonometric ratios. Let the semicircle have center O. The diameter AB has length 2r. Because chord CD is 2/3 of the length of the diameter,

CD=2/3(2r) = 4r/3

let the distance between diameter AB and chord CD be x inches. To find x draw a right triangle connecting center O, the midpoint, E of chord CD, and point C . Using Pythagorean theorem here,

r² = x² + (CD/2)²

=> r² = x² + (2r/3)²

=> r² = x² + 4r²/9

=> x² = r² - 4r²/9 = 5r²/9

=> x = √5 r/3

Hence, the distance between the chord and the diameter in terms of r is √5r/3..

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Answer:

a(A) = 0

Step-by-step explanation:

Answer: 20,085

Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.

                               I hope I got this right and if I did it right.

Answer:

i dont know  if this the answer for the first on x=1.45454545455 and the other on is 3s

Step-by-step explanation:

Answer:

Step-by-step explanation:

u/4 + 9.9 = 16.9

Putting value of u = 24 in the equation

24/4 + 9.9 = 16.9

6 + 9.9 = 16.9

15.9 = 16.9

Bringing like terms on one

16.9 - 15.9 = 1

Step-by-step explanation:

u/4 + 9.9 = 16.9

Putting value of u = 24 in the equation

24/4 + 9.9 = 16.9

6 + 9.9 = 16.9

15.9 = 16.9

Bringing like terms on one

16.9 - 15.9 = 1

Given the data of the table, we must find the probability that a class attendee:

• A = is a non-member of the gym and is attending a barre class,

• or B = is a member of the gym and is attending a yoga class.

The total probability is the sum of the probabilities of each event:

The probability of event A is given by:

The probability of event B is given by:

So the total probability is:

Answer

The probability is 0.2378.

Answer:

(a) 3:5

(b) 15

Step-by-step explanation:

Well first we need to create a ratio for the 5 shades squares and 3 non+shaded squares.

It is asking for unshaded first so our ratio will be,

3:5

(a) 3:5

So if there is 9 unshaded how many shaded is there.

Well we can just make the following ratio 9:x

So 9/3 = 3

Meaning 3*5 = 15

So x = 15

(b) 15

Answer:

a) 3/5

b) 15

Step-by-step explanation:

(a)

unshaded: 3

shaded: 5

unshaded to shaded: 3/5

(b)

There are now 3 unshaded squares. You need 9 unshaded squares, so you need to have three times as many total squares as you have now.

Add two more lines just like the given line.

Each new line will have 5 shaded and 3 unshaded squares.

Now you have a total of 9 unshaded and 15 shaded squares.

Answer:

Six units to the right. Answer C

Step-by-step explanation:

The image is IGH, which is the triangle ABD shifted to the right 6 units

Let's assume David's average speed is S km/h.

A) To find David's average speed, we can use the formula: Speed = Distance / Time.

David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:

S = Distance / 5

B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.

Ken took 7 hours to complete the race, so we have:

S - 9.8 = Distance / 7

Now, we can solve the system of equations to find the values of S and Distance.

From equation (1): S = Distance / 5

Substitute this into equation (2):

Distance / 5 - 9.8 = Distance / 7

Multiply both sides of the equation by 35 to eliminate the denominators:

7 * Distance - 35 * 9.8 = 5 * Distance

7 * Distance - 343 = 5 * Distance

Subtract 5 * Distance from both sides:

2 * Distance - 343 = 0

Add 343 to both sides:

2 * Distance = 343

Divide both sides by 2:

Distance = 343 / 2 = 171.5 km

Therefore, the distance of the cycling race is 171.5 kilometers.

To find David's average speed, substitute the distance into equation (1):

S = Distance / 5 = 171.5 / 5 = 34.3 km/h

So, David's average speed was 34.3 km/h.\(\)

Answer:

A) 34.3 km/h

B) 171.5 km

Step-by-step explanation:

Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:

\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)

This distance for the cycling race can now be used to determine David's average speed:

\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)

Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

A=3

4a2=3

4·362≈561.18446

Step-by-step explanation:

Answer:

Yes; That what I got In my studies and lessons

According to the z-score distribution table, we find out that the p-value is 0.0752 for the given test statistic of z = 1.438 which is accurate to four decimal places.

It is given to us that -

A study is conducted to see if the probability of catching the flu this year is significantly more than 0.23

The sample data produces the test statistic

The value of z = 1.438

We have to find out the p-value accurate to four decimal places.

We know that the p-value is known as the decimal value which can be expressed from 0 to 100%. This p-value is important in hypothesis testing in order to establish the significance of the results expected.

We are given that the test statistic, z = 1.438 and we know that this is a two-tailed test.

So, we can obtain the p-value from the z distribution table.

P-value = 2P (Z<1.438)

=> P-value = 0.0752       [Value from z-score table]

Thus, from the z-score distribution table, we find out that the p-value is 0.0752 which is accurate to four decimal places.

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1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.

2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).

3. Coefficient: The numerical factor that is multiplied by a variable in a term.

4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.

5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.

Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.

Equation: An equation is a mathematical statement that shows the equality between two expressions.

It consists of an equal sign (=) and can include variables, constants, and operations.

Solving equations involves finding the values of the variables that make the equation true.

Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.

It represents the scale or magnitude of the variable.

For example, in the term 3x, the coefficient is 3.

Expression:

An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.

Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.

Linear Equation:

A linear equation is an equation where the highest power of the variable is 1.

It can be written in the form ax + b = 0,

where a and b are constants and x is the variable.

Solving linear equations involves finding the value(s) of x that satisfy the equation.

These are just a few key definitions that form the foundation of understanding introductory algebra.

Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.

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Answer:

6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.

7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.

Step-by-step explanation:

Answer:

8.3y

Step-by-step explanation:

-2.2y - 3.4y -1(-5.7y) + 8.2y

Apply rule -(-a) = a:

⇒ -2.2y - 3.4y + 5.7y + 8.2y

Factor out common term y:

⇒ y(-2.2 - 3.4 + 5.7 + 8.2)

Carry out operations in the parentheses:

⇒ y(8.3)

Write in standard form:

⇒ 8.3y

Answer:

To solve the equation -7(1-4m)=13(2m-3), we can start by simplifying each side of the equation:

-7(1-4m) = 13(2m-3)

-7 + 28m = 26m - 39 (distributing the -7 and 13)

Next, we can simplify further by combining like terms:

28m - 26m = -39 + 7

2m = -32

Finally, we can solve for m by dividing both sides of the equation by 2:

m = -16

Therefore, the solution to the equation -7(1-4m)=13(2m-3) is m = -16.

Answer:

\( \sf \: m = - 16\)

Step-by-step explanation:

Now we have to,

→ Find the required value of m.

The equation is,

→ -7(1 - 4m) = 13(2m - 3)

Then the value of m will be,

→ -7(1 - 4m) = 13(2m - 3)

→ -7(1) + 7(4m) = 13(2m) - 13(3)

→ -7 + 28m = 26m - 39

→ 28m - 26m = 7 - 39

→ 2m = -32

→ m = -32 ÷ 2

→ [ m = -16 ]

Hence, the value of m is -16.

The product of a number and a sum.

Answer:

-306 feet vertical change

The equivalent value of 1/34 is 0.06.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

1/34

Here numerator is 1 and denominator is 34.

Now,

Divide the numerator by denominator.

= 0.0588

= 0.06

Thus,

The equivalent value is 0.06.

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Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

Answer: ⬇️

Step-by-step explanation:

Given, u=(2,4,−5) and v=(1,−6,9).Now,3u−5v=3(2,4,−5)−5(1,−6,9)=(1,42,−60).

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Answer: A

Step-by-step explanation:

The answer is A.

Answer:

cvdgcbhxnjkmz,

Step-by-step explanation:

Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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Answer:

its 84!

Step-by-step explanation:

volume of a rectangular prism is length * width * height, since the shape is 3D, or multi-demensional. you take all three numbers and multiply them together :) in this case its 7, 3, and 4. 4 * 3 is 12, and 12 * 7 is 84 :)

Answer:

C) 51

Step-by-step explanation:

\(3+(12*4)=3+(48)=51\)