Answer:
y=-5x/2+4
Step-by-step explanation:
4y=-10x+16
y=-5x/2+4
What is the distance between (-5,8) and( 6,8)
Answer: 11
Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5
6+5
11
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with = 36.1 ft and o- 6.8 ft. You intend to measure a random sample of n = 81 trees. What is the mean of the distribution of sample means? the What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 4 decimal places.) σ= Tip: Use the Desmos calculator...
The standard deviation of the distribution of sample means, or the standard error in estimating the mean, is approximately 0.7569 ft, rounded to 4 decimal places.
To find the mean of the distribution of sample means, we use the formula:
Mean of sample means = Mean of the population
In this case, the mean of the population is given as μ = 36.1 ft.
Therefore, the mean of the distribution of sample means is also 36.1 ft.
To find the standard deviation of the distribution of sample means, also known as the standard error, we use the formula:
Standard error = Standard deviation of the population / √(Sample size)
In this case, the standard deviation of the population is given as σ = 6.8 ft, and the sample size is n = 81.
Plugging in these values into the formula, we have:
Standard error = 6.8 / √(81)
Calculating this expression, we find:
Standard error ≈ 0.7569
Therefore, the standard deviation of the distribution of sample means, or the standard error in estimating the mean, is approximately 0.7569 ft, rounded to 4 decimal places.
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X, Y, and Z are collinear and Y is between X and Z. If XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
what is the value of x?
a. 6
b. 4
c. 10
d. 8
Answer:
6
Step-by-step explanation:
XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
We know that XY + YZ = XZ, so
3x - 1 + 5 = 5x - 8
3x + 4 = 5x - 8
3x + 12 = 5x
12 = 2x
6 = x
The value of x from the given line segment XZ is 6. Therefore, the correct answer is option A.
Given that, X, Y, and Z are collinear and Y is between X and Z.
Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that are close to or far from each other are said to be collinear.
So, here \(XZ=XY+YZ\)
\(5x-8=3x-1+5\)
\(5x-8=3x+4\)
\(5x-3x=4+8\)
\(2x=12\)
\(x=6\)
Therefore, the correct answer is option A.
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what is the probability that both events will occur? PLEASE ANSWER QUICKLY!!
The probability for events A and B will be 5/18.
Two dice are tossed.
Event A: The first die is a 5 or 6
Event B: The second die is not a 1
Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
The probability for event A is calculated as,
P(A) = 2/6
P(A) = 1/3
The probability for event B is calculated as,
P(B) = 5/6
The probability for events A and B is calculated as,
P(A and B) = P(A) x P(B)
P(A and B) = 1/3 x 5/6
P(A and B) = 5/18
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Someone please help will mark as brainliest
Answer:
26
Step-by-step explanation:
To get the inside measure of the line that 109 sits on, you will take the angle of the straight line (180) and substract 109.
180-109 = 71
this is the angle adjacent to 109
All angles in a triangle combined are 180
Substract all known angles and you get your answer
180-71-83 = 26
3. How many milliliters of liquid are needed to fill a cylindrical can
with a radius of 3 centimeters and a height of 4.2 centimeters?
The volume of a cylinder can be calculated using the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
V = π(3 cm)^2(4.2 cm)
V ≈ 113.1 cubic centimeters
Therefore, 113.1 milliliters of liquid are needed to fill the cylindrical can. Note that 1 cubic centimeter is equal to 1 milliliter.
30 POINTS!
The graph of h is a translation 4 units down and 7 units right of the graph of f(x) = x^2 + 6x. For each value of x, g(x) is 80% of h(x). Write a rule for g.
Answer:
The rule to transform \(f(x)\) into \(g(x)\) is:
\(g(x) = 0.8\cdot [f(x-7) - 4]\)
For \(f(x) = x^{2} + 6\cdot x\): \(g(x) = 0.8\cdot x^{2} -6.4\cdot x +2.4\)
Step-by-step explanation:
A vertical translation of a function is described by the following operation:
\(y' = y + k\) (1)
Where:
\(y\) - Original function.
\(y'\) - Translated function.
\(k\) - Vertical translation factor (\(k > 0\) - Upwards)
And a horizontal translation of a function is described by the following operation:
\(y' = f(x-k)\) (2)
Where:
\(x\) - Independent variable.
\(k\) - Horizontal translation factor (\(k > 0\) - Rightwards)
And the dilation of a function is defined by this operation:
\(y' = k\cdot y\) (3)
Where \(k\) is the dilation factor (\(0 < k < 1\) - Contraction)
The rule to transform \(f(x)\) into \(g(x)\) is:
\(g(x) = 0.8\cdot [f(x-7) - 4]\)
If we know that \(f(x) = x^{2} + 6\cdot x\), then \(g(x)\) is:
\(g(x) = 0.8\cdot [(x-7)^{2}+6\cdot (x-7) - 4]\)
\(g(x) = 0.8\cdot [(x^{2}-14\cdot x + 49)+(6\cdot x -42) - 4]\)
\(g(x) = 0.8\cdot (x^{2}-8\cdot x + 3)\)
\(g(x) = 0.8\cdot x^{2} -6.4\cdot x +2.4\)
6 agents can sell 333 cars in 3 months.
At this rate, how many cars can 3
agents sell in 6 months?
Answer:
333 cars
Step-by-step explanation:
Assuming among 6 agents, the working efficiency is the same and constant. Fixing number of agents:
6 agents can sell 333 cars in 3 months.
=> 6 agents can sell 333/3 cars in 3/3 month.
=> 6 agents can sell 111 cars in 1 month.
Fixing number of months:
=> 6/2 agents can sell 111/2 cars in 1 month.
=> 3 agents can sell 111/2 cars in 1 month.
Then considering that 3 agents worked in 6 months:
=> 3 agents can sell 6 x 111/2 cars in 6 x 1 months.
=> 3 agents can sell 333 cars in 6 months.
a nurse manager approves two staff nurses to attend a national conference
The nurse manager approves two staff nurses to attend a national conference.
The nurse manager has given their authorization or consent for two staff nurses to participate in and attend a national conference. This decision indicates that the nurse manager recognizes the value and relevance of the conference for professional development and sees the benefit of the staff nurses' participation. By approving their attendance, the nurse manager demonstrates support for their growth, learning, and exposure to new knowledge, experiences, and networking opportunities available at the conference.
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What are the 4 types of real numbers?
Real numbers are every number that exists in the real line, The four types of real numbers are rational, irrational, Natural and Integers.
What is a real number?In mathematics, a real number is a value that can be represented on the number line. The set of real numbers includes both rational numbers (such as integers, fractions, and decimals) and irrational numbers (such as √2 and π). Real numbers also include positive numbers, negative numbers, and zero. The set of real numbers is usually represented by the symbol R, and it has the properties of being closed under the operations of addition, subtraction, multiplication, and division (except for division by zero).
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
Rational number = 3/4, -6/2, or 0.5.
Irrational number = √2, π, or e.
Natural number = 1,2,3,4....
Integers = -4, -1, 0, 1, 4.
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the lines graphed below are perpendicular. The slope of the red line is 4. what is the slope of the Greenline?
Definite integral application and Find the area of the region bounded by the parabola y=x2
, the tangent line to this parabola at (1,1)
and the x
-axis.
To find the area of the region bounded by the parabola y = x², the tangent line to this parabola at (1,1), and the x-axis,
we need to use definite integral application.The first step is to find the point of intersection of the tangent line to the curve y = x² at (1,1).The equation of the tangent line can be found by differentiating y = x², which gives us:dy/dx = 2xWe can then substitute x = 1 into the above equation to get the slope of the tangent line at x = 1:dy/dx = 2(1) = 2
Hence, the equation of the tangent line is:
y - 1 = 2(x - 1)
⇒ y = 2x - 1
Now, we can find the point of intersection of this tangent line with the parabola y = x² by setting the two equations equal to each other:
2x - 1 = x²
⇒ x² - 2x + 1 = (x - 1)²
⇒ (x - 1)² = 0⇒ x = 1
Hence, the tangent line intersects the parabola at (1,1).We can now find the area of the region bounded by the parabola, the tangent line, and the x-axis by taking the definite integral of the absolute value of
y = x² - (2x - 1) from x = 0 to x = 1,
since the region is above the x-axis: definite integral of
|y| dx from 0 to 1= ∫₀¹ |x² - (2x - 1)| dx
= ∫₀¹ |x² - 2x + 1| dx
= ∫₀¹ (x - 1)² dx
= [x³/3 - x² + x]
from 0 to 1= (1/3 - 1 + 1) - (0) = 1/3
Therefore, the area of the region is 1/3 square units.
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Help me 3×(x-y)-7(y-x)²
Answer:
\({ \tt{3(x - y) - 7 {(y - x)}^{2} }} \\ \\\dashrightarrow \: { \tt{3(x - y) - 7(y - x)(y - x)}} \\ \\ \dashrightarrow \: { \tt{3x - 3y - 7 {y}^{2} + 14xy - 7 {x}^{2} }} \\ \\ \dashrightarrow \: { \tt{ - 7( {x}^{2} + {y}^{2}) + 14xy + 3x - 3y }} \\ \\ \dashrightarrow \: { \tt{ - 7 \{ {(x + y)}^{2} - 2xy \} + 14xy + 3x - 3y}} \\ \\ \dashrightarrow \: { \tt{7 {(x + y)}^{2} + 12xy + 3x - 3y }}\)
a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
what is 4+4? what is the answer to this equation
Answer:
4 + 4 = 8
Step-by-step explanation:
Evaluate: (6² x| 6³ + 3 ) + 2² - 2 ?
Answer:
7781
Step-by-step explanation:
order of operations = PEMDAS P- Parentheses then E- Exponents then M- Multiplication then D- Division then A- Addition then S- Subtraction
(6² x| 6³ + 3 ) + 2² - 2
(36 x 216 + 3 ) + 2² - 2
(36 x 216 + 3 ) + 2² - 2
(7776 + 3 ) + 2² - 2
(7779 ) + 2² - 2
7779 + 4 - 2
7783 - 2
7781
Write three different integer addition expressions that equal −5.
Given:
Three different integer addition expressions equal −5.
To find:
The three different integer addition expressions.
Solution:
We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.
\((-5)+0=-5\)
One expression is \((-5)+0\).
The other expression are:
\((-6)+1=-5\)
\((-7)+2=-5\)
Therefore, the three different integer addition expressions that are equal to -5 are \((-5)+0,(-6)+1,(-7)+2\).
John bought a $2,910 car on the installment plan.The installment agreement included a 15% down payment and 18 monthly installment payments of $161.56 each. A) How much is the down payment.B) What is the total amount of the monthly payments. C) what is the total cost he paid for the car. D) What is the finance charge.
9514 1404 393
Answer:
down: $436.50
payment total: $2,908.08
total paid: $3,344.58
finance charge: $434.58
Step-by-step explanation:
A) The down payment is 15% of the cost, so is ...
0.15 × $2910 = $436.50
__
B) The total of the 18 monthly payments of $161.56 each is ...
18 × $161.56 = $2908.08
__
C) The total amount paid for the car is the sum of the down payment and the monthly payments:
$436.50 +2,908.08 = $3,344.58
__
D) The finance charge is the difference between the amount paid and the original cost of the car:
$3,344.58 -2,910 = $434.58
How many meters are in 18200 millimeters
Answer:
18.2
Step-by-step explanation:
18200/1000 becuase their are 1000 millimeters in a meter
(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g(x) going through 0, 2 and 1, 5 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
Answer:
They both have the same slopeStep-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
This shows that both functions have the same slope.
Is it correct in adding subtracting?? Answer is in the picture please give me answer soon
Answer:
8/24 is correct. However, I would simplify 8/24 down to 1/3, since most teachers want you to do that.
1. which is the product of these numbers, to the appropriate number of significant digits? 56.2 × 9.2057 = a. 517 b. 517.4 c. 517.36 d. 517.00
The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.
The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.
In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.
Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.
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Noah is helping to collect the entry fees at his school’s sports game. Student entry costs $2.75 each and adult entry costs $5.25 each. At the end of the game, Diego collected $281.25.
Select all equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game.
A. 281.25-525a=2.75s
B. a=53.57-2.75/5.25s
C. 281.25-5.25s=a
D. 281.25+2.75a=s
F. 281.25+5.25s=a
Answer:
A. 281.25-525a=2.75s
Step-by-step explanation:
The equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s
Determine the unknown angle measurements in the figure
Answer:
angle 1=90, angle 2=110,angle 3=120, angle 4=90, angle 5=39
Step-by-step explanation:
Neeeddd helppppp now !
Answer:
C. a=12ft, b=12ft
Step-by-step explanation:
This is a 45*-45*-90* triangle
"a" and "b" are the same
and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.
so the answer must be:
a = 12ft, b = 12ft
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Answer: 40 cm
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (18*d2)= 360
18*d2= 360*2
d2= 720/18
d2= 40
10 employees only eat
vegetables and 25 employees
eat meat. What is the ratio of
the employees who only eat
vegetables to employees who
eat meat?
Answer: the ratio 2:5
Step-by-step explanation:
I think thats the answer,
Unit 3: Functions& Linear Equations Homework 1: Relations & Functions Name: Date: Bell: This is a 2-page document! Find the domain and range, then represent as a table, mapping, and graph. Domain Range 2. {(-3,-4), (-1, 2), (0,0), (-3, 5), (2, 4» Domain Range - Determine the domain and range of the following continuous graphs 3. 4. Domain = Range = 5. Domain Range 6. Domain - Domain - Range - Range = Gina Wlson (AlI Things Aigebral 2
The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
What is the domain and range?
The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.
The range of a function refers to the set of all possible output values, or y-values.
To find the domain and range of functions and represent them in different formats.
To find the domain and range of a function:
The domain refers to the set of all possible input values (x-values) for the function.
The range refers to the set of all possible output values (y-values) for the function.
To represent the function as a table, you would list the input-output pairs. For example:
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
To represent the function as a mapping, you would indicate the correspondence between the input and output values.
For example:
-3 -> -4
-1 -> 2
0 -> 0
-3 -> 5
2 -> 4
To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.
The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.
Hence, The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
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Feeding
Spot
80 meters
60 meters
3.
NEST
Daisy Duck has a nest on the edge of the pond. From
her favorite feeding spot, she can either waddle on
land around the pond (80 meters by 60 meters) or
she can swim across the pond to the nest. How far
would Daisy have to swim across the pond to reach the nest?
Answer:
100 meters
Step-by-step explanation:
We can use the following equation to solve
\( {a}^{2} + {b}^{2} = {c}^{2} \)
60^2 + 80^2 = c^2
10000 = c^2
c = 100
solve v=1/3 bh for b
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b