A placement exam has a measure of x=500 and a standard deviation of s=100. If a student obtained the standard value z= 1.8, then the exam grade is: a. 400 b. 640 c.320 d.680
deviation of the children's ages is: a. 1.27 b. 1.62 c. 2:25 a.m. 1.97 dad Frecuencia xf Jeg gon.no 7 12 10 8 5 42 84 80 72 50 252 588 640 648 500

Step-by-step explanation:

V = πr²*(h/3)

diameter = 6, r=3

V = π*9*(24/3)

= 81π

which is approximately

254.5 in³

Answer:

A & E

Step-by-step explanation:

divide 70 by 5.

you get 14. meaning she charges $14 per hour

14 x 10 gives you 140.

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

num 1 is answer...

Answer:

no

Step-by-step explanation:

First determine the discount

11.95 * 15%

11.95 *.15

1.79

Subtract the discount

11.95-1.79

10.16

You do not have enough money with a 10 dollar bill

Answer:

(x-y)(x+y+z)

Step-by-step explanation:

\(x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\\)

Answer:

(x - y)(x + y + z)

Step-by-step explanation:

Given

x(x + z) - y(y + z) ← distribute both parenthesis

= x² + xz - y² - yz ← rearrange

= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares

= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term

=(x - y)(x + y + z)

As per the scatter plot the association between the population of various states in the US and the number of cell phone users is strong, weak, and moderate. Thus option One is correct.

A scatter plot is a scatter graph that shows and compares the individual values and correlates them with the variables.

Here the case of cell phones in the US is shown as strong as the line is positively correlated and more than half of the people use cell phones thus it's moderate.

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Answer:

strong

positive

the same

Step-by-step explanation: read the question instead of just copying and pasting into another tab its really simple. Strong because all the dots are really close to each other, positive becasue the dots are leading up, and the same because its literally the same if you put them 2 dots on

EDMENTUM this will correct

Answer:

125%

Step-by-step explanation:

99 - 44 = 55

55 / 44 = 1.25

1.25 * 100 = 125%

Answer:

(1) 6x + 3 = 15

(2) x = 2

Step-by-step explanation:

When single flower is selected at random, the probability of getting yellow or daisy is 73/108.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Total number of red roses = 8,

Number of white daisies = 10,

Number of yellow carnations = 6,

And number of yellow daisies = 12.

Total number of flowers = 36.

Number of yellow flowers,

Probability of getting yellow flower P(yellow) = 6/36 = 1/6

Total number of daisy flowers = 10 + 12 = 22

Probability of getting flower daisy P(daisy)  = (10 + 12)/36 = 22 / 36

The probability of getting flower yellow and daisy

P(yellow and daisy) = 1/6 x 22/ 36 = 11/ 108

P(yellow or daisy) = P()yellow) + P(daisy)- P(yellow and daisy)

                              = 1 /6 + 22 / 36  - 11 / 108

                              = (6 + 22)/36 - 11/108

                              = 28 / 36 - 11 / 108

                              = (84 - 11) / 108

                              = 73 / 108

The required probability of getting selected flower yellow or daisy is 73 / 108.

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To determine the equation of the parabola with a focus of (2, 2) and a directrix of x = 0, we can use the standard form of a parabolic equation.

In general, for a parabola with a vertical axis of symmetry, the standard form of the equation is:

(x - h)^2 = 4p(y - k)

Where (h, k) represents the coordinates of the vertex and 'p' represents the distance between the vertex and the focus (or vertex and the directrix).

In this case, the vertex is halfway between the focus and the directrix along the axis of symmetry. Since the directrix is x = 0, the vertex lies on the line x = 1 (the average of 0 and 2). Therefore, the vertex is (1, k).

The distance between the focus (2, 2) and the vertex (1, k) is equal to 'p'. Using the distance formula:

√[(2 - 1)^2 + (2 - k)^2] = p

Simplifying:

√(1 + (2 - k)^2) = p

Now we have the value of 'p', we can substitute it into the equation to obtain the final equation of the parabola.

(x - 1)^2 = 4p(y - k)

Substituting 'p' back into the equation:

(x - 1)^2 = 4√(1 + (2 - k)^2)(y - k)

This equation represents the conic section, a parabola, with a focus of (2, 2) and a directrix of x = 0.

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m=n and C=D, as CD is an nxn matrix and In and Im have dimensions nxn and mxm, respectively.

To prove that m=n, let us consider the dimensions of the matrices involved. The matrix product CD has dimensions nxm times mxn, which gives an nxn matrix. On the other hand, the identity matrices In and Im have dimensions nxn and mxm, respectively. Therefore, for the products CA and AD to be well-defined, we must have m=n.

Now, let us show that C=D. We have:

CA = In (given)

AD = Im (given)

Multiplying both sides of the first equation by D on the right and both sides of the second equation by C on the left, we get:

CAD = D (from CA=In)

CAD = C (from AD=Im)

Since CAD is equal to both D and C, we have D=C. Therefore, the matrices C and D are equal, and we have proved that m=n and C=D.

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Answer:

Step-by-step explanation:

Are you asking for what's in between? because you would add up the like terms on the right side to get 815, so the missing term once you subtracted both would be 60

Patti placed a rectangular greeting card inside a similar rectangular envelope. The card is 6 inches long and 3 1/2 inches wide. if the envelope is 7 1/2 long then wideness will be 4.4 inches

The wide of the envelope is solved form the concept of similar figures. In this case the proportions are equal

for the card

solving for the proportions gives

long / wide  = 6 inches / 3 1/2 inches

= 1.714

for the envelope

1.714 = long / wide  

1.714 = 7.5 / wide

wide = 7.5 / 1.714

wide = 4.376

the wide of the envelope is 4.4 inches

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414-231=183

sdfjksdjalksdaf

The solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

The expression is given as:

one half cubed − 2 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 2/√64

Take the square root of 64

(1/2)^3 − 2/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/4

Take the cube of 1/2

1/8 - 1/4

Evaluate the difference

-1/8

Hence, the solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

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- 1/8

Step-by-step explanation:

hope this helps

Answer:

A)a rectangle 5 inches by 6 inches to get the results

Answer: male a right angle triage and solve for the shortest distance it's hould be bw 1.2 and 3.5

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

\(v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132\)

hope it helps

have a nice day

The area of the surface is \(\sqrt{\frac{15}{4}}\times \pi\)  unit square.

To find the area of the surface, we need to first find the intersection curve between the plane and the cylinder.
From the equation of the cylinder, we know that \(x^2 + y^2\) = 9200.

We can substitute \(x^2 + y^2\) for \(r^2\) and rewrite the equation as \(r^2\) = 9200.
Next, we can rewrite the equation of the plane as

z = 12 - 4x - 3y.
Now, we can substitute 12 - 4x - 3y for z in the equation \(r^2\) = 9200, giving us:
\(x^2 + y^2\) = 9200 - \((12 - 4x - 3y)^2\)
Expanding and simplifying, we get:
\(x^2 + y^2\) = \(16x^2 + 24xy + 9y^2 - 24x - 36y + 884\)
Simplifying further, we get:
\(15x^2 + 24xy + 8y^2 - 24x - 36y + 884 = 0\)
We can recognize this as the equation of an ellipse:

To find the area of the surface, we need to find the area of this ellipse that lies within the cylinder.
To do this, we can first find the major and minor axes of the ellipse.

We can rewrite the equation as:
\(15(x - \frac{4}{5})^2\) + 8(\(y\) - \(\frac{9}{10}\)\()^{2}\) = 1

So the major axis has length \(2/\sqrt{15}\) unit and the minor axis has length \(\frac{2}{\sqrt{8} }\) unit.
The area of the ellipse is then given by:
A = π x (\(\frac{1}{2}\) x \(\frac{2}{\sqrt{15} }\) x (\(\frac{1}{2}\) x \(\frac{8}{\sqrt{8} }\))
Simplifying we get:
A = π x (\(\sqrt{\frac{2}{15} }\)) x (\(\sqrt{\frac{2}{8} }\))
A = π x (\(\sqrt{\frac{1}{60} }\))
A = \(\sqrt{\frac{15}{4}} \times \pi\) unit square

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Using proportions, it is found that 48 students would be needed to finish the job in a quarter of an hour.

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 rule of three for this problem is given as follows:

6 students - 2 hours

x students - 0.25 hours

The measures are inverse proportional, hence a line multiplication is applied, as follows:

0.25x = 12

1/4x = 12

x = 48.

48 students would be needed to finish the job in a quarter of an hour.

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The length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

To find the length of the longest ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hallway forms a right-angled triangle, with one side measuring 14 feet and the other side measuring 8 feet.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the ladder) as follows:

\(c^2 = a^2 + b^2\)

where c is the hypotenuse (length of the ladder), and a and b are the lengths of the other two sides.

Plugging in the values:

\(c^2 = 14^2 + 8^2\)

\(c^2 = 196 + 64\)

\(c^2 = 260\)

c ≈ √260

c ≈ 16.86 feet

Therefore, the length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

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The domain of the function f is all real numbers, and the range is {16, all irrational numbers}.

The function f(x) is defined differently for rational and irrational numbers. Let's analyze the domain and range separately:

Domain:

For rational numbers, the function is defined as 16. Since rational numbers include integers, fractions, and repeating or terminating decimals, the domain includes all rational numbers. Additionally, the function is defined for irrational numbers as well. Thus, the domain of f(x) is all real numbers.

Range:

The range of f(x) consists of two parts: {16} and all irrational numbers. Since the function assigns a constant value of 16 to rational numbers, the range includes only this value. On the other hand, for irrational numbers, the function is undefined and could potentially take any value. Therefore, the range includes all irrational numbers in addition to the constant value 16. In mathematical notation, the range can be expressed as {16, all irrational numbers}.

In conclusion, the domain of f(x) is all real numbers, including both rational and irrational numbers. The range consists of the constant value 16 and all irrational numbers.

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Answer:

last one (f minus 4 over 7 is less than or equal to negative 9 over 11)

Step-by-step explanation:

difference = subtraction (-)

number = variable (f)

four sevenths = 4/7

no more than = ≤

negative nine elevenths = -9/11

f - 4/7 ≤ -9/11

Answer:

A. a × 1

Step-by-step explanation:

The identity property of multiplication simply states that a number equals itself when multiplied by 1.

a × 1 is the identity property of multiplication.

(a + b) + 3 = a + (3 + b) is associative property.

a(b + c) = ab + ac is expansion.

a + a + a = 3 x a is factoring of like terms.

Answer:

12

Step-by-step explanation:

Given:

3 bags of each color band

4 kits

To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.

Find the greatest common factor of 3 and 4:

factors of 3 = 1,3,6,9,12,15,18,21,24....

factors of 4 = 1,2,4,8,12,16,20,24...

How many bands are in each kit?​

12 or any other number that is a factor of both 3 and 4 such as 24,..etc.