Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?

A)55
B)34
C)27.5
D)28

Answer:

SA = 108π cm²

Step-by-step explanation:

The surface area (SA) of a sphere is calculated as

SA = 4πr² ( r is the radius )

Thus the SA of a hemisphere is

SA = [tex]\frac{1}{2}[/tex] × 4πr² = 2πr²

The area of the circular base = πr²

Then total SA is

SA = 2πr² + πr² = 3πr² = 3π × 6² = 3π × 36 = 108π cm²

Using the slope concept, it is found that the approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem, the vertical change is the height of the tree, of 18 feet, while the shadow of 25 feet is the horizontal change, hence:

[tex]\tan^{\theta} = \frac{18}{25}[/tex]

[tex]\theta = \tan^{-1}{\frac{18}{25}}[/tex]

[tex]\theta = 35.75[/tex]

The approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.

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Step-by-step explanation:

x^4-9x^2-8x^2+72

x^2(x^2-9)-8(x^2-9)

(x^2-8)(x^2-9)

(x^2-8)(x+3)(x-3)

Answer:

explain?

Step-by-step explanation:

Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The complete question is : In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer?

a. 2 cups

b. 1 gal

c. 10 gal

d. 10 fl oz

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Answer:

-14.120 Radians

Step-by-step explanation:

To convert, use this angle degrees to radians formula:

Radians = Degrees x ( Pi / 180)

Try using this formula

Answer: 6 passwords

Step-by-step explanation:

Answer:

C .10

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

11, 11, 13, 13, 12, 13, 11, 12, 10, 13

Put the numbers in ascending (increasing) order.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

If there is an odd number of numbers, the median is the number in the middle.

There are 10 numbers which is an even number of numbers.

For an even number of numbers, the median is the mean of te two middle numbers.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

The two middle numbers are 12 and 12.

The mean of 12 and 12 is (12 + 12)/2 = 12

Answer: 12

Answer:

16

Step-by-step explanation:

Lets solve this step by step,

First we insert 8 in x's place:

(8 - 4) + 12

Now we solve:

8 - 4 = 4

(4) + 12

4 + 12 = 16

Answer: 16

Hope this Helps

Answer:

y = -1/2 x - 1

Step-by-step explanation:

The expression in point-slope form is expressed as;

y-y0 = m(x-x0)

(x0,y0) = (6, -4)

slope m = -1/2

Substitute into the formula

y-(-4) = -1/2(x-6)

y+4 = -1/2(x-6)

2(y+4) = -(x-6)

2y+8 = -x+6

2y = -x+6-8

2y = -x-2

y = -1/2 x -2/2

y = -1/2 x - 1

Hence the answer in slope-intercept form is y = -1/2 x - 1

Answer:

33 pi

Step-by-step explanation:

113.1/2 = 56.55

56.55 + 47.12 = 103.67

103.67/ pi = 33

When a calcium atom forms an ion, it loses two electrons. The electrical charge of the calcium ion is +2

Calcium ions are net positive two charges. In calcium, when it has assumed its most stable state, the relationship between the quantity of protons (20) and the quantity of electrons (18) is represented by the +2 charge.

In the event that calcium (Z = 20) picks up two electrons, the resultant ion will have 18 electrons and 20 protons, giving it a charge of +2. (two more positive protons than negative electrons). It's a cation, this ion. Using the Ca2+ symbol, we can identify a calcium ion.

Atoms that lose electrons acquire a positive charge as there are fewer electrons left with negative charges to balance the positive charges of the protons in the nucleus. Positively charged ions are known as cations.

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Answer:

20 cubic inches

Step-by-step explanation:

[tex]1 * 4 * 5 = 20[/tex]

Answer:

me mataste

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are both the same equation

Answer:first answer

Step-by-step explanation:

Answer:

1004 is the smallest four-digit palindrome that is divisible by 4.

The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

Let the price of the phone case is x.

And the price of the charging cord is y.

Discounted price for phone case:  15% of x = 0.15x

Discounted price for charging cord = 0.15y

Now, according to the question, the total discount is $4. 20

⇒0.15x + 0.15y = 4.20

⇒0.15 * 18 + 0.15y = 4.20

⇒2.7 + 0.15y = 4.20

⇒0.15y = 4.2 - 2.7

⇒y = 1.5/0.15

⇒y = $10

Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

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Answer:

D

Step-by-step explanation:

Answer:

y = 9.75x

Step-by-step explanation:

y = the money earned

x = number of lawns.

The slope of x= -4 is unidentified.

The x= -4 is a vertical line and slope cannot be found.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it may be found in O'Brien's (1844)[2] and Todhunter's (1888][3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope.

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Answer:

x^2+x-2

Step-by-step explanation:

To calculate the area of the shape we need to multiply height to the base

(x-1) * (x+8) = x^2+7x-8

Answer:B

Step-by-step explanation:

Find a circle. Measure the diameter and circumference.

You can use a tape measure, a piece of string or roll the circle along a ruler.

In every case you will find the circumference is a little more than three times bigger than the diameter.

The more accurate your measurements are, the closer you will get to pi = 3.14159...

Answer:

17m2

i think it is a right answer

Area of the circular sidewalk around flowerbed is 314 m² .

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 21m

radius = diameter/2 = 21/2 = 10.5 m

Area of flower bed A

= πr²

= 3.14(10.5)²

= 3.14(110.5)

= 346.185 m²

width of the sidewalk = 4m

radius of flower bed with sidewalk = 10.5 + 4 = 14.5m

Area of flower bed with sidewalk A'

= 3.14(14.5)²

= 3.14(210.25)

= 660.185 m²

Area of the sidewalk

= A' - A

= 660.185 - 346.185

= 314 m²

Hence, 314 m² is area of the circular sidewalk around flowerbed.

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The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.

Neegan paddles a kayak 21 miles upstream in 4.2 hours.

As he is moving in Upstream, so during returning the flow will be downstream

Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.

Let the speed of Neegan paddles in still water = x miles/Hr.

Let the rate of the current be = y miles/Hr.

As Speed = Distance/Time

So, for Upstream speed, Speed will be = x-y

For downstream, the speed will be = x+y

From question,

(x-y) = 21/4.2 = 5-----(i)

(x+y)= 21/3 = 7 -----(ii)

Solving (i) and (ii)

2x = 12

=> x = 6

So, the value of y (From (i), will be = (x-5) = 6-5 = 1

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P= kd/u^2 is the equation which expresses the following relationship p varies derectly with d and inversly with the square of u.

Equation is a mathematical statement that expresses the equality of two expressions. An equation is written as an expression containing an equal sign, with each side of the equal sign representing a mathematical expression. The purpose of an equation is to show the relationship between two or more variables, such as a change in one variable resulting in a change in another. Equations are used to solve problems in mathematics, physics, economics, and many other fields.

The equation states that p is directly proportional to d, and inversely proportional to u squared. This means that as d increases, p increases, and as u increases, p decreases. The constant of proportionality, k, is a measure of the strength of the relationship between p, d, and u.

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The height of the person is approximately 0.426 meters or 42.6 cm.

We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.

We can set up the following proportion:

(Height of building)/(length of shadow) = (height of person)/(length of shadow)

48/30 = h/0.8

Solving for h, we get:

h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426

Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.

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Answer:

-0.4

Step-by-step explanation:

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