Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.531-3.5 = 27.5since both calculated numbers were equal, we know that we calculated the mean correctly.
What is the volume of the composite figure? Leave the answer in terms of pi.
Answer:
33 pi
Step-by-step explanation:
113.1/2 = 56.55
56.55 + 47.12 = 103.67
103.67/ pi = 33
Use point-slope form to find the equation of the line with a slope of
[tex] - \frac{1}{2} [/tex]
Express your answer in slope-intercept form. that passes through the point (6,-4)?
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
During the afternoon, an 18-foot tall tree casts a
shadow 25 feet long.
What is the approximate angle of elevation from the
end of the shadow to the top of the tree with respect
to the ground?
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.
What is a slope?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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What is the relationship between the circumference of a circle and its diameter?
A. The diameter is about 3 times the circumference.
B. The circumference is a little more than 3 times the diameter.
C. The diameter is about half the circumference.
D .It depends on the circle.
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...
When a calcium atom forms an ion, it loses two electrons. what is the electrical charge of the calcium ion? responses −2 negative 2 −1 negative 1 1 1 2
When a calcium atom forms an ion, it loses two electrons. The electrical charge of the calcium ion is +2
What do you meant by electrical charge of a calcium ion?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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help help help plssssss
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
Factor the expression completely.
x^4-17x^2+72
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)
Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive? its a liner equation.
Answer:
y = 9.75x
Step-by-step explanation:
y = the money earned
x = number of lawns.
The ages of the players of the junior football team in years are 11,11,13,13,12,13,11,12,10,13 find the median age
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
2x+5=x+9
3x +2= 2 x +7
Answer:
explain?
Step-by-step explanation:
Solve the expression below, when x = 8
(x - 4) + 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
What is the volume of a square pyramid that has a base lengthof 5" and a height of 9"__cubic inches
Find the area. Simplify your answer.
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
Arlene buys a phone case and charging cord for 15% off. The original cost of the phone case is $18. Her total discount is $4. 20.
Write and solve an equation to find the original price of the charging cord, x
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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write an equation that expresses the following relationship p varies derectly with d and inversly with the square of u. In your equation use k as the proportionality
P= kd/u^2 is the equation which expresses the following relationship p varies derectly with d and inversly with the square of u.
What is Equation?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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A building with a height of 48 meter casts a shadow that is 30 meter long. A person standing next to the building casts shadow that is 0.8 meter long. How tall is the person
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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Neegan paddles a kayak 21 miles upstream in 4.2 hours. the return trip downstream takes him 3 hours. what is the rate that neegan paddles in still water? what is the rate of the current?
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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COME TO THIS QUESTION GIVES BRAINLIEST FOR FIRST GOOD ANSWER!
Can someone please explain this problem to me. It's only one probability problem for 30 points. Please no bad answers like I don't know, sorry I thought know, give me a moment, etc. No links please and please know what you are doing because sometimes Brainly decreases my grade instead of increases it. Thank you, correct answer gets brainliest!
Answer: 6 passwords
Step-by-step explanation:
What is the smallest four-digit palindrome that is divisible by 4? (A palindrome is a number that reads the same forwards and backwards, like 61216.)
Answer:
1004 is the smallest four-digit palindrome that is divisible by 4.
How many solutions does the system of equations below have?
y = -5x + 9
y = -5x + 9
A) no solution
B) one solution
C) infinitely many solutions
Answer:
C
Step-by-step explanation:
They are both the same equation
Answer:first answer
Step-by-step explanation:
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
Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.
What is meant by mathematical expression?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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Solve for x.
A) 0.9
B) 160
C) 10
D) 1.1
Answer:
C .10
Step-by-step explanation:
what is −809 in radians? I tried -809pi/180 but it was marked incorrect
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
A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for Pi
The area of the sidewalk is ____ m2.
Answer:
17m2
i think it is a right answer
Area of the circular sidewalk around flowerbed is 314 m² .
What is area?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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What is the volume of the prism?
10 cubic inches
20 cubic inches
40 cubic inches
80 cubic inches
Answer:
20 cubic inches
Step-by-step explanation:
[tex]1 * 4 * 5 = 20[/tex]
Where is Point B on the number line? ?? im Stuck on this ?????
Answer:
-0.4
Step-by-step explanation:
............................
How do you find the slope of x =- 4?
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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In the figure below, what is m∠2if m∠4 = 120°?
The table shows lunch
preferences recorded in a
school cafeteria.
What is the relative
frequency of a female
preferring chicken for lunch?
A) 42%
B) 16%
C) 20%
D) 55%
Answer:
D
Step-by-step explanation:
please help me figure this out
Answer:
me mataste
Step-by-step explanation: