a set of data has ten numbers. the mean of the data is 12 and the standard deviation is 0. what values could make up a data set with these statistics?

Answer:

45

Step-by-step explanation:

esta a 5cm de distancia del pez mientras la otra está 10cm

The approximate commission at the rate of 7% is $650.82

What is area of triangle?

The area occupied by a triangle is known as area of triangle. The area if computed as 1/2*base*height

We are given the, base of 1500 feet and a height of 600 feet

Hence the area of triangle can be given as

Area= 0.5*1500*600

Area= 450000 ft^2

Now 1 acre costs as 43560 sqft

Hence the area of triangle in acres is

Area in acres = \(\frac{450000}{43560}\)

Area in acres= 10.33

Hence total amount for which the piece of land is sold = 10.33*900

Total amount= $9297

Now we have to find the 7% of this amount

Hence

\(=\frac{9297*7}{100}\\=650.82\)

Hence the amount received as commission is $650.82

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Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards.  A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards.  The object of the game is to be the first to get rid of all the cards in your hand.

Preparation:  The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player.  Place the remaining cards in a pile (the draw pile) in the center of the table.  Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile.  (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.) 

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously. 

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile.  If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out.  At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves.  At the end of the game, the player with the most books is the winner.

The number 0.010 has two significant figures.

Significant figures are digits that contribute to the precision of a number. In this case, the leading zero in 0.010 is not considered significant because it simply indicates the decimal point's position.

The significant figures in the number are the non-zero digits, which are "1" and "0".

To determine the number of significant figures in a decimal number, we count all the digits from the first non-zero digit to the rightmost digit. In 0.010, the non-zero digits are "1" and "0", and there are two of them.

The trailing zero after the decimal point does not affect the number's precision or accuracy; it only indicates the decimal place.

Therefore, it is not considered a significant figure.

Knowing the number of significant figures is crucial when performing mathematical operations or expressing the precision of a measurement.

It helps ensure that the result is reported with the appropriate level of precision and maintains consistency throughout calculations.

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Answer:

2(-x+4)+5x-3 = 11

-2x+8+5x-3=11

-2x+5x+8-3=11

-3x+5=11

-3x=11-5

-3x=6

x=6/-3

x=-3/1

or x=-3. answer

Step-by-step explanation:

please mark me brainliest please

Answer:

x = 3

Step-by-step explanation:

2(-x + 4) + 5x - 3 = 11​

~Simplify

-2x + 8 + 5x - 3 = 11

~Combine like terms

3x + 5 = 11

~Subtract 5 to both sides

3x = 6

~Divide 3 to both sides

x = 3

Best of Luck!

The distance between the hotel and the victim is approximately 3.57 ft.

To determine the distance between the hotel and the victim, we can use the concept of trigonometry. Let's denote the distance between the hotel and the victim as 'd.'

We know the height of the hotel balcony, which is 428 ft, and the angle of elevation from the shooter to the victim, which is 57 degrees.

Using the tangent function (tan), we can set up the following equation:

tan(57 degrees) = height of the victim / distance between the hotel and the victim

tan(57 degrees) = 5.5 ft / d

To find 'd,' we can rearrange the equation:

d = 5.5 ft / tan(57 degrees)

Using a calculator, we can evaluate this expression:

d ≈ 5.5 ft / tan(57 degrees) ≈ 5.5 ft / 1.5407 ≈ 3.57 ft

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The rate at which water is being pumped into the tank in cubic centimeters per minute is 289.252.7 \(cm^{3}/min\)

the volume that a substance or thing takes up or the space it takes up inside a container, especially when it is large.

given

For the given cone the ratio of radius to height is  \(\frac{1}{3}\)

so \(r= \frac{1}{3}h\)

V=\(\pi \frac{r^{2}h}{3}\)   becomes V= \(\frac{\pi h^{3} }{27}\)\(\frac{800000}{9}cm^{3}/min\)

\(\frac{dV}{dh}=\frac{\pi h^{2} }{9}\)

We are interested in how Volume has changed over time and see that

\(\frac{dV}{dt}=\frac{dV}{dh} * \frac{dh}{dt}\)

Using the result we already determined for \(\frac{dV}{dh}\) in addition to the given figure of 20 cm/min (at a height of 200 cm )

we get,

\(\frac{dV}{dt } = \frac{\pi (200 cm)^{2}*20 cm }{9 min}\)

= \(\frac{800000}{9}cm^{3}/min\)

or roughly, 279,252.7 \(cm^{3}/min\)

This is the inflow rate necessary to cause an increase in height while ignoring the rate of leakage.

The sum of these two has to represent the actual inflow rate:

279,252.7 \(cm^{3}/min\) +  10000 \(cm^{3}/min\)

289.252.7 \(cm^{3}/min\)

hence the rate at which water is being pumped into the tank in cubic centimeters per minute is 289.252.7 \(cm^{3}/min\)

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Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Therefore, When ratios have the same units, we call that ratio a unit ratio.

When ratios have the same units, we call that ratio a unit ratio. An explanation of what is meant by the term ratio would be helpful. A ratio compares the relative sizes of two or more quantities. If the numbers being compared have the same units, then it is called a unit ratio. Unit ratios are ratios that relate to each other in terms of the same measurement unit. They are also sometimes known as unit rates or unit fractions. They are frequently used to compare the relative size of one quantity to another when they are measured in the same units. For example, when we say that there are two apples for every five oranges, we are expressing a ratio between apples and oranges. However, when we say that there are two apples per five oranges, we are using a unit ratio.

Therefore, When ratios have the same units, we call that ratio a unit ratio.

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A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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Answer:

2

Step-by-step explanation:

Answer:

x is equal to 2

Step-by-step explanation:

Just because

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

The speed of the copy machine is 30 pages per minute.

What is Fraction ?

A fraction is a way of representing a part of a whole or a division of a quantity into equal parts. It consists of two numbers, one written above the other and separated by a horizontal or diagonal line called a fraction bar. The number written above the fraction bar is called the numerator, and the number written below the fraction bar is called the denominator.

If the copy machine made a copy of Leslie's 3-page essay in just 1/10 of a minute, then it made a copy of one page in 1/10 ÷ 3 = 1/30 of a minute.

To find the speed of the copy machine, we can take the reciprocal of the time it takes to make one copy, which is:

1 ÷ (1/30) = 30

Therefore, the speed of the copy machine is 30 pages per minute.

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The statement "___ + ___ = 9" can be filled with the numbers 4 and 5 to make it true. When these two numbers are added together, they equal 9. The product of 4 and 5 is 20.

However, it is important to note that there are other ways to fill in the blanks to make the statement true. For example, 3 and 6 can be used as the two numbers, or 1 and 8. In both cases, the sum of the two numbers equals 9.
This type of problem is often used as a way to test basic arithmetic skills and logical reasoning. It requires the solver to think about the properties of numbers and how they can be combined to create a desired outcome. By practicing these types of problems, individuals can improve their mathematical abilities and become more confident in their problem-solving skills.

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Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer:

11

Step-by-step explanation:

there are 12 months in a year

we want to equally split the 130 into 12 equal payments

130/12=10.833 or 11

The right triangle with sides a = 3 and b = 2 has a hypotenuse c of approximately 3.6 units.

To solve this right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we have:

\(c^2 = a^2 + b^2 c^2 = 3^2 + 2^2 c^2 = 9 + 4 c^2 = 13\) Taking the square root of both

Therefore, the length of the hypotenuse, c, is approximately 3.6 units in the given right triangle with sides a = 3 and b = 2.

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Answer: 2(x-5)(x+3)

Step-by-step explanation:

(x+3)(2x-10)

2(x-5)(x+3)

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

he can rolled upto 70 times when he roled in 35 time

An equivalent function can be written as \(G(t) = 1920 \times 2^t\)

What is equivalent fraction?

Fractions that represent the same amount or portion of a whole, but have different denominators and numerators is called Equivalent fractions.

They are equal in value, but may have different forms.

We can multiply or divide both the numerator and the denominator of a fraction by the same number for find equivalent fractions.

Some examples are 2/4 is equivalent to 1/2 because if you divide both the numerator and the denominator of 2/4 by 2, you get 1/2.

Starting from the given function, we can simplify it as

\(G(t) = 960(2^t + 1) \\ G(t) = 960 \times 2^t \times 2^1 \\ G(t) = 1920 \times 2^t\)

We can see that this function is of the form

\(G(t) = ab^t\)

where a = 1920 and b = 2.

Therefore, an equivalent function can be written as \(G(t) = 1920 \times 2^t\)

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Answer :

The value that makes the equation true is Paula 62

Step-by-step explanation:

Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true

all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla

Sophia

a = 318

5a + 8

= 5(318) + 8

as we can see this is not equal to 318

George

For George, we substitute a for 417

That will be;

5(417) + 8

This is not 318

for Nancy

5(310) + 8

This is not equal to 318

for Hank

we have a as 136

5(136) + 8

This is not equal to 136

for Paula

5(62) + 8

= 310 + 8 = 318

we can see this is correct

for Gavin,

5(24) + 8

= 128 which is not equal to 318

The only equal value is that of Paula which is our answer

Answer:

Gorilla Weight

(pounds) Plugged into

5a + 8 = 318 True or False?

George 417  

5(417) + 8 = 318

2,093 = 318

false

Nancy 310  

5(310) + 8 = 318

1,558 = 318

false

Hank 136  

5(136) + 8 = 318

  688 = 318

false

Paula 62  

5(62) + 8 = 318

 318 = 318

true

Gavin 24  

5(24) + 8 = 318

 128 = 318

false

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Fish cannot drown

Three died but they are still in the tank

The equation of the plane tangent to the surfacer=3u2i+(5u−v2)j+3v2kr=3u2i+(5u−v2)j+3v2kat the point P that is P(12,9,3).z(x,y)=z(x,y)= 90x + 1296y + 810z = 14218.

To find the equation of the plane tangent to the surface at point P(12, 9, 3), we first need to find the partial derivatives of the surface with respect to u and v:

∂r/∂u = 6ui + 5j

∂r/∂v = -2vj + 6vk

Next, we can evaluate these partial derivatives at the point P(12, 9, 3) to get:

∂r/∂u = 6(12)i + 5j = 72i + 5j

∂r/∂v = -2(9)j + 6(3)k = -18j + 18k

Using these partial derivatives, we can find the normal vector to the tangent plane at point P by taking their cross product:

n = (∂r/∂u) x (∂r/∂v) = (72i + 5j) x (-18j + 18k)

= -90i - 1296j - 90k

Since the tangent plane passes through point P, its equation can be written in the form:

-90(x - 12) - 1296(y - 9) - 90(z - 3) = 0

Simplifying this equation gives:

-90x + 12960 - 1296y - 810z + 1458 = 0

or

90x + 1296y + 810z = 14218

Therefore, the equation of the plane tangent to the surface at point P is 90x + 1296y + 810z = 14218.

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