The instance has a mean of 1834 and a standard deviation of 231.2, respectively.
Given data;
A comparison of typical earnings for different professions can be found in the international average salary income database. The information is acquired from publications and reports that were obtained directly from governmental organizations, like the US Bureau of Labor Statistics or the ILO. Consider being informed that the standard deviation of the income of computer programmers in Canada is $458.60 and that a computer programmer in Canada making $2,063.30 has a z-score of 0.50 in comparison to other programmers in Canada. Consequently, the typical pay for computer programmers in Canada is. Assume you are also informed that the mean wage for computer programmers in Portugal is $1,387.40 and that a computer programmer in Portugal who earns $1,387.40 has a z-core of 2.00 in comparison to other computer programmers in Portugal is $925.
Since, the salaries are relative and we know that the z-score is given by;
z = X - μ / σ
0.50 = 2063.30 - μ / 458.60
μ = 2063.30 - 229.3
μ = 1834
As, the salaries are relevant so;
2 = 1387.40 - 925 / σ
σ = 462.4/2
σ = 231.2
Hence, the mean and standard deviation of the case is 1834 and 231.2 respectively.
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GIVING BRAINLIEST AND 13 POINTS TO THE PERSON WHO SOLVES THIS
An algebraic representation which best describes this transformation is: C. (x, y) → (5x/2, 5y/2).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
By critically observing the graph, we can logically deduce the following vertices:
Coordinate P = (-1, 1)Coordinate Q = (2, 0)Coordinate R = (-1, -2)Coordinate P' = (-5/2, 5/2)Coordinate Q' = (5, 0)Coordinate R' = (--5/2, -5)In this scenario, the transformation rule is given by this algebraic representation:
Q (x, y) → Q' (x, y)
Coordinate Q = (2, 0) → Coordinate Q' = ((5/2 × 2), (5/2 × 0)) = Coordinate Q' = (5, 0).
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The floor of a canyon has an elevation of −14. 5 feet. Erosion causes the elevation to change by −1. 5 feet per year. How many years will it take for the canyon floor to have an elevation of −31 feet?.
It will take 11 years for the canyon floor to have an elevation of −31 feet.
Define equation.A mathematical statement known as an equation makes two expressions' values equal. It is a mathematical statement that says "this is equivalent to that," in other words. The left side appears to be a mathematical expression, the centre appears to be an equal sign, and the right side is another mathematical expression. The right side of the equation frequently has a value of zero.
Given,
The first step in this situation is to define the variables.
So, we have:
x: the age in years
y: height in feet
The equation used to model the issue is then written.
So, we have:
y = 1.5x - 14.5
Then, at a -31 foot elevation, we have:
-31 = 1.5x - 14.5
For years,
x = -16.5/1.5
x = 11
In 11 years it will take for the canyon floor to have an elevation of −31 feet.
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six ants simultaneously stand on the six vertices of a regular octahedron, with each ant at a different vertex. simultaneously and independently, each ant moves from its vertex to one of the four adjacent vertices, each with equal probability. what is the probability that no two ants arrive at the same vertex?
The probability that no two ants will reach the same vertex is 5/256.
Plane, point B and attention. Ants that move to D can come from either E or C. Ants moving to E can come from either B or D of points A and F of the octahedron. Therefore, there are 2 degrees of freedom to decide which ants move to D, 2 degrees of freedom to decide which ants move to E, and 2 degrees of freedom to decide which ants move to A.
So there are 2× 2× 2=8 ways an ant can move to different points.
There are 8 ways for ants to move to different points.
Points B, there are a total of 8 + 4 + 8 = 16 ways Ant can move to her different points. Aligned the square so that point B is defined as point where the ant moved from point A.
An ant can actually move from point A to 4 different points, so there are a total of 4×20=80 ways an ant can move to different points.
Each ant acts independently and has 4 different points to choose from.
So each ant has a 1/4 chance of moving to the desired location. Since he has 6 ants, the probability of appearance is
= 1/4096
So, the desired answer is 80/4096
= 5/256
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A. Solve for x. B. Is the triangle equilateral?
Answer:
x=8
No it’s not an equilateral
Step-by-step explanation:
Since side AB is about the same length as BC we can set them equal to each other
x-1=7
+1 +1
x=8
This is not an equilateral because if you fill in X for the third side you will get 5
8-3=5
How do you find gradient of a linear graph?
=========================================================
Explanation:
gradient = slope
Pick any two points on the diagonal line and use the slope formula.
I'll pick the two points (0,4) and (4,10)
[tex](x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (4,10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{10 - 4}{4 - 0}\\\\m = \frac{6}{4}\\\\m = \frac{3}{2}\\\\[/tex]
The slope is 3/2.
Meaning we go up 3 and to the right 2.
Which of the following functions is graphed below?
Answer: B
Step-by-step explanation:
Answer:
Your answer is B
Step-by-step explanation:
find the product. [5 5 [-4 9
-2 3] 8 7]
Answer:
(a)
[tex]\left[\begin{array}{cc}20&80\\32&3\end{array}\right][/tex]
Step-by-step explanation:
You want the product of the given 2×2 matrices.
SolutionThe value at any given (row, column) of the result matrix is the dot product of the corresponding row of the first matrix with the corresponding column of the second matrix.
For example, row 2 column 1 of the result will be the dot product of row 2 of the left matrix with column 1 of the right matrix:
[-2, 3]·[-4, 8] = (-2)(-4) +(3)(8) = 8 +24 = 32
This is sufficient to identify the first answer choice as the correct one.
__
Additional comment
A suitable calculator can compute the entire product for you, as in the attachment.
if a coin with a date on it is found in a sealed archaeological deposit, we know that the deposit can be no older than the date on the coin. in that situation the date on the coin represents group of answer choices
Using the theories of archaeology, we got that date on the coin represents
a terminus post quem if a coin with a date on it is found in a sealed archaeological deposit.
Potassium-argon dating: This absolute dating method was actually developed by the A.E. Douglass, an American astronomer, chiefly from work he conducted at the Pueblos of American Southwest tree-ring dating Layers of the sediments resulting from the melting of ice sheets and deposited in the lakes on an annual basis are known as varves
Hence, if a coin with a date on it is found in a sealed archaeological deposit, and we know that the deposit can be no older than the date on the coin. in that situation the date on the coin represents a terminus post quem.
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what is the linear equation to
x=-3x+8
The linear equation is equal to
y = -3x + 8
m = slope
x = input variable
c = 8
What is linear function ?The given equation is linear function or linear equation
A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
Definition of variables to suit the problem to be solved
y = output variable
m = slope
x = input variable
c = y intercept
In comparison, to the linear equation given as equal to
y = -3x + 8
m = -3
x = input variable
c = 8
putting the input variables gives out put accordingly
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PLEASE HELP WILL MARK BRAINLIEST
which representation corresponds to the equation y=3x+1
The representation of equation y = 3x + 1 is as shown below.
The correct answer is option (D)
In this question, we have been given an equation y = 3x + 1
We need to find the correct representation of given equation.
For x = 0,
y = 3(0) + 1
y = 1
For x = 2,
y = 3(2) + 1
y = 7
for x = -1,
y = 3(-1) + 1
y = -2
This means, the options A, B and C are incorrect.
Therefore, the representation of equation y = 3x + 1 is as shown below.
The correct answer is option (D)
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a salad dressing is made by mixing yoghurt and mayonnaise in the ratio 3 : 5
karolina makes 800 ml of the salad dressing
how much yoghurt does she use?
give your answer in mililetres (ml)
Answer:
Step-by-step explanation:
The amount of yogurt that Karolina used when making 800 ml of salad is 300 ml.
A salad dressing is made by mixing yoghurt and mayonnaise in the ratio
3:5. For 800 ml of salad:
Amount of yoghurt = (3 / (3 + 5)) * 800 ml = 300 ml
The amount of yoghurt that Karolina used when making 800 ml of salad is 300 ml.
What is one over six raised to the third powerequal to?
Answer:
Step-by-step explanation:
one over the six raised to the third power = 0.00462962962
Answer:
1/216 ≅ 0.00462963
Step-by-step explanation:
Don't know if you need decimal or fraction so I put both
1/6 X 1/6 X 1/6 = 1/216
The question linked to the chart: Write the linear function in slope-intercept form only that corresponds with this table. Please help!
A linear function in slope-intercept form that only corresponds with this table is y = 2x + 8.
How to write the linear function in slope-intercept form?Mathematically, the slope-intercept form of a straight line is given by;
y = mx + b
Where:
x and y represents the points.m represents the slope.b represents the y-intercept.Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided, we have the following parameters:
Point (x, y) = (-1, 6)
Point (x, y) = (0, 8)
Substituting the given points into the formula, we have;
Slope, m = (8 - 6)/(0 - (-1))
Slope, m = (2)/(0 + 1)
Slope, m = 2/1
Slope, m = 2.
In Mathematics, the y-intercept of a graph occurs at the point where the x-value is equal to zero (0), which is 8 in the table shown above.
Therefore, the slope-intercept form is given by:
y = mx + b
y = 2x + 8
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The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 97% of the people who have a disease. However, it erroneously gives a positive reaction for 5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease". What is the probability of type i error if the new blood test is used?.
The probability of a type I error is 0.022.
Given,
In the question;
It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested receive an incorrectly positive response because they do not have the condition.
The null hypothesis is given as "the individual does not have the disease".
We have to find the probability of type l error if the new blood test is used;
Here,
A: The individual does not have the disease
B: The individual does have the disease
We know that,
Type I Error is rejecting the true null hypothesis
Then, probability;
P (Type I Error) = P(Positive reaction to an individual who does not have the disease) = 0.022
Hence, The probability of a type I error is 0.022.
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Make a the subject of p= 3a+5/4-a
Answer:
4p-5/7=a
Step-by-step explanation:
4p=12a+5-5a
4p-5=12-5a
4p-5=7a
4p-5/7=a
What is the distance between (-5, -5)(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and (-9, -2)(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
555
(Choice B)
B
777
(Choice C)
C
\sqrt{12}
12
square root of, 12, end square root
(Choice D)
D
\sqrt{29}
29
Based on the calculations, the distance between points (-5, -5) and (-9, -2) on a coordinate plane is equal to: A. 5 units.
How to calculate the distance on coordinates?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Given the following points:
Points on the x-axis = (-5, -5).Points on the y-axis = (-9, -2).Substituting the given points into the formula, we have;
Distance = √[(-2 - (-5))² + (-9 - (-5))²]
Distance = √[(-2 + 5)² + (-9 + 5)²]
Distance = √[3² + 4²]
Distance = √[9 + 16]
Distance = √25
Distance = 5 units.
In conclusion, we can logically deduce that the distance between the given points on a coordinate plane is 5 units.
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Complete Question:
What is the distance between (-5, -5) and (-9, -2?
Choose 1 answer:
A. 5
B. 7
C. √12
D. √29
How many pound
1/4
hamburgers can be made
from 2 1/2 pounds of ground
beef?
From the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.
As given in the question,
Total pounds of hamburger need to be made = 1 / 4 pounds
Total pounds of ground beef is used to make hamburger = 2 1 / 2 pounds
Let us consider 'n' be the total number of hamburger to be made each of
1 / 4 pound .
Required equation to show the given relation is given by:
n × ( 1 / 4) = 2 1/ 2
Convert mixed fraction into proper fraction we get,
⇒ n × ( 1 / 4) = 5 /2
⇒ n = ( 5/ 2) × ( 4 /1)
⇒ n = 5 × 2
⇒ n = 10 hamburgers
Therefore, from the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.
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An expression is shown.
m² = 9+55
What is the positive value of m?
Answer: 8
[tex]m^{2} = 9+55\\m^{2} = 64\\m=8[/tex]
Answer: m = 8
9 + 55 = 64
[tex]\sqrt{64}[/tex] = 8
[tex]8^{2}[/tex] = 64
evaluate the integral. check your result by differentiation. (remember the constant of integration.) (x2 4)32x dx
The solution of the given integral [tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]
Given;
To evaluate the value of a given integral;
[tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex]
Let;
[tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]2\cdot \int \left(x^2+4\right)^3xdx[/tex]
Now, assume u = x² + 4
→ [tex]2\cdot \int \left(x^2+4\right)^3xdx[/tex] = [tex]2\cdot \int \frac{u^3}{2}du[/tex]
→ [tex]2\cdot \frac{1}{2}\cdot \frac{u^4}{4}[/tex]
→ [tex]2\cdot \frac{1}{2}\cdot \frac{u^4}{4}[/tex]
→ [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]
By adding constant C;
[tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]+ C
Hence, the solution of the given integral [tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]
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Find the equation of the exponential function represented by the table below:
x. Y
0 0.01
1. 0.04
2 0.16
3 0.64
The equation of the exponential function represented by the table y = 0.12x + 0.01
From the table choose two points
The first point = (1, 0.04)
The second point = (2, 0.16)
The slope of the line is the change in y coordinate with respect to the change in x coordinate of the function
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation
The slope of the line = (0.16 - 0.04) / (2-1)
= 0.12/1
= 0.12
From the table we can see that at x = 0 the value of y = 0.01, then the value of y intercept is 0.01
The slope intercept form is
y = mx + b
Substitute the values in the equation
y = 0.12x + 0.01
Hence, the equation of the exponential function represented by the table y = 0.12x + 0.01
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Help please I don't know what to do on this and it's urgent I need this in 20 min.
Answer:
1) 112°
3) 55°
4) 51°, complementary angles
Step-by-step explanation (question one):
3x +10 +2x = 180
3x +10 +2x -10 = 180 -10
3x + 2x = 170
5x = 170
x = 34
3(x)+10 = angle ABD
3(34)+10 = angle ABD
102+10 = angle ABD
angle ABD = 112°
Step-by-step explanation (question two):
180 -70 = 2x
110 = 2x
55 = x
angle SQT = 55°
Step-by-step explanation (question three):
Since it's a right angle, we can simply subtract.
90 -39 = 51
angle b = 51°
I wish you luck on your homework!
What is three-fourths times nine?
Your answer should be in whole or mixed number form.
Answer:
the answer is c, 6 3/4.
Step-by-step explanation:
1) Mei was going to sell all of her stamp
collection to buy a video game. After
selling half of them she changed her mind.
She then bought thirteen more. How
many did she start with if she now has 25?
Answer:
24
Step-by-step explanation:
let the starting number be x
she sold 1/2 x and has 1/2 x remaining with her
she bought 13 and has 25 now
so, 1/2x + 13 = 25
1/2 x= 25-13 = 12
hence x= 24
Answer:
24
Step-by-step explanation:
now Mei has 25 stamp collections after adding 13 more to what she remained with after selling; this means that after selling she was left with (25_13)=12
this is the half of what she had initially
this means that she initially had (12*2)=24
this gives means that she started with 24 as a stamp of her collection
Find the value of 8y +3 given that -11y-9=2. Simplify your answer as much as possible.p
Answer:
Step-by-step explanation:
First solve the equation:
-11y-9=2
-11y=11
y=-1.
We then take this and plug it back into the original equation:
8(-1)+3
-8+3
-5.
So your answer is -5.
a local hamburger shop sold a combined total of 520 hamburgers and cheeseburgers on tuesday they were 70 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday
If they were 70 more cheeseburgers sold than hamburgers. The number of hamburgers that were sold on Tuesday is 225.
How to find the hamburgers sold?Total of 603 hamburgers and cheeseburgers = x+y= 520
70 more cheeseburgers than hamburgers = y=x+70
Hence,
x+y= 502
y=x+70
Substitution
x+(x+70)= 520
2x+70 = 520
-70 -70
2x= 450
2 2
x=225 hamburgers
Number of cheeseburgers
Substitute x in either equation.
y=x+ 70
y=225 +70
y=295 cheeseburgers
Therefore 225 hamburgers was sold.
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The data in the table describes the preferred type of exercise of student athletes.
Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00
What is the conditional relative frequency that a female prefers running? Round your answer to two decimal places.
0.36
0.49
0.58
0.67
The conditional relative frequency that a female prefers running is 0.36
What is Statistics?Statistics is a branch of applied mathematics that involves the collection, description, analysis, and inference of conclusions from quantitative data
The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :
all females
all people preferring cycling
the way it was phrased I would say the reference is all females.
the conditional relative frequency is then
0.15 / 0.46 = 0.326
Hence the conditional relative frequency that a female prefers running is 0.36
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Answer:
Step-by-step explanation:
Dont listen to the above the answer is acually 58
What is "-1/6" as a whole number
Answer:
-0.16
Step-by-step explanation:
Divide the answer :)
A dressmaker sells a shirt for $75. If she makes 25% profit how much did it cost her to make the shirt?
Answer: $56.25
Step-by-step explanation:
First, I'm going to assume that she makes 25% profit on the selling price.
Set the cost of the shirt as x. Profit is calculated as selling price - cost. Profit is stated to be 25% or [tex]\frac{1}{4}[/tex], so an equation can be set up as:
[tex]\frac{1}{4} *75=75-cost\\\\cost = 75-\frac{1}{4} *75=56.25[/tex]
HELPPPP
All of the following relations represent functions, except which?
Responses
{(1, 2), (-2, 2), (5, 2), (4, 2)}
{(7, 8), (7, 9), (7, 10), (7, 11)}
{(0,0)}
{(1, 4), (-2, 8), (2, 2), (4, 9)}
PLEASE SHOW STEP BY STEP!
{(1, 4), (-2, 8), (2, 2), (4, 9)} it is a function as every input has a unique output. Therefore, option B is not a function.
The given coordinate points are {(1, 2), (-2, 2), (5, 2), (4, 2)}.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
A) {(1, 2), (-2, 2), (5, 2), (4, 2)}
It is a function as every input has a single output.
So, 1, -2, 5 and 4 are the elements of the domain of the given relation.
Here domain ={1, -2, 5, 4} and range ={2}
B) {(7, 8), (7, 9), (7, 10), (7, 11)}
Since the element 7 corresponds to four different images i.e., 8, 9, 10 and 11. So, this relation is not a function.
C) {(0,0)}
It is a function as every input has a single output.
So, 0 is the element of the domain of the given relation.
Here domain ={0} and range ={0}
D) {(1, 4), (-2, 8), (2, 2), (4, 9)}
It is a function as every input has a unique output.
So, 1, -2, 2 and 4 are the elements of the domain of the given relation.
Here domain ={1, -2, 2, 4} and range ={4, 8, 2, 9}
{(1, 4), (-2, 8), (2, 2), (4, 9)} it is a function as every input has a unique output. Therefore, option B is not a function.
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how many times can a honey bee beat its wings per hour? PLS I NEED THIS BECAUSE MT TEACHER DIDNT TELL US WE HAD HOMEWORK UNTIL LIKE RN AND ITS MONDAY!!!
Answer:
900,000
Step-by-step explanation:
From the given table, we are told that the honeybee beats its wings at a rate of:
250 beats per second.There are 60 seconds in a minute, and 60 minutes in an hour.
Therefore, there are:
60 × 60 = 3600 seconds in an hour.To find how many times a honeybee can beat its wings in an hour, multiply the number of times it beats its wings per second by 3600:
⇒ 250 × 3600 = 900,000
Therefore, a honeybee beats its wings 900,000 beat per hour.