We are increasing every professor's salary by 4000, let this new salary be Yi for every professor then mean of new salary Y will be
Y = 1/n∑Yi
Y = 1/n∑(Xi + 4000)
Y = 1/n(∑Xi + ∑4000/n)
Y = X + 4000
Median Xm is the middle most value of the Professor's old salary, since new salary is
Yi = Xi + 4000
then new median salary Ym will be
Ym = Xm + 4000
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Answer:
Step-by-step explanation:The mean and Median salary would increase by $4,000.
Let sum of the salaries be n1+n2+n3+.......... +n30
Mean = sum of observation / no. of observation
Thus,
Initial mean, M1 = n1+n2+n3+.......... +n30 / 30
When $4,000 is added to every salary 4000 is added 30 times to the sum.
Thus,
New mean, M2 = n1+n2+n3+.......... +n30 +( 4000 * 30)
30
= M1 + ( 4000 * 30)
30
Thus, M2 = M1+ 4000
Therefore, The mean salary increase by $4,000.
We know Median of even number of observation = [(n/2)th term + ((n/2) + 1)th term]/2
Here n/2th term is n15 and (n/2 +1)th term is n16
Thus,
Initial Median, Median 1 = n15 + n16
2
When $4,000 is increased in each salary
New Median, Median 2 = n15 + 4000 + n16 + 4000
2
= Median 1 + 2 * 4000
2
Thus, Median 2= Median 1 + 4000
Therefore, The median salary increases by $4,000
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what does the point (1,18) represent
The point (1, 18), in the proportional relationship, means 18 cookies will require 1 cup of flour.
How to Interpret a Proportional Relationship Graph?In a proportional relationship graph that models the relationship between two variables, x and y, a point on the graph means the value of x that will give a corresponding value of y. It is expressed as, (x, y).
(x, y) means the quantity of x that will give a corresponding quantity of y considering the proportional relationship between variables x and y.
Thus, the graph shows a proportional relationship between the number of cups of flour (y) that was used to make different numbers of cookies.
Thus, the point (1, 18) means that for 18 cookies to be made, 1 cup of flour is to be used.
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Some one help pls!!! Solve p = kwm for k
Determine the rate of change on the graphs below
Answer:
a. 3
b. -3/2
c. 4/3
d. -5/3
e. 0
f. undefined
Step-by-step explanation:
the length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s. when the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing (in cm2/s)?
The area of the rectangle is increasing at a rate of 122cm²/s if the length of the rectangle is 11 cm and the width is 9 cm.
The area of a rectangle can be described as the product of the length and width of that rectangle, therefore;
Area = L × W
Here L represents length and W represents the width
Now by differentiating using the product rule;
dA/dt = (dL/dt)(W) + (dW/dt)(L)
As the length is 11 cm and the width is 9 cm and the length is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s; substituting these values in the equation;
dA/dt = (5)(9) + (7)(11)
dA/dt = 45 + 77
dA/dt = 122
Hence, the area of the rectangle is increasing at the rate of 122cm²/s.
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The rectangle below has an area of 70y^8+30y^670y
8
+30y
6
70, y, start superscript, 8, end superscript, plus, 30, y, start superscript, 6, end superscript.
The width of the rectangle is equal to the greatest common monomial factor of 70y^870y
8
70, y, start superscript, 8, end superscript and 30y^630y
6
30, y, start superscript, 6, end superscript.
What is the length and width of the rectangle?
\text{Width} =Width=start text, W, i, d, t, h, end text, equals
\text{Length} =Length=start text, L, e, n, g, t, h, end text, equals
The width of the rectangle with area 70y⁸+ 30y⁶ is; 10y⁶.
Then the length of the rectangle with area 70y⁸+ 30y⁶ is; (7y² + 3).
What are the dimensions of the rectangle?
The area of a rectangle is given by;
Area = Length× width
Given that;
The area of the rectangle = 70y⁸ + 30y⁶
Now, 70y⁸ can be broken down to; 7×5×2×y×y×y×y×y×y×y×y
And 30y⁶ can be broken down to; 5×3×2×y×y×y×y×y×y
The common factors of 70y⁸ and 30y⁶ are = 5,2,y,y,y,y,y,y
Thus, the greatest common factor of 70y⁸ and 30y⁶ is;
5×2×y×y×y×y×y×y = 10y⁶
Therefore our area 70y⁸+ 30y⁶ can be factorized to get;
A = 10y⁶(7y² + 3)
The greatest common monomial of 70y⁸+ 30y⁶ is 10y⁶ which is the width of the rectangle.
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Please help me I really need help. ILYSM THANK YOU :)
How many pounds of apples will he get if he goes to David’s orchard?
The pounds of apples that he get if he goes to David’s orchard is 20 pounds.
How to calculate the pounds of apples?Let the assumed amount with him be $40.
It should be noted that for David's orchard, the first ten pounds are $2 per round and each additional round is $1 per pound.
Therefore, the expression to illustrate this will be:
($2 × 10) + ($1 × r)
where r = additional pounds
Therefore,
($2 × 10) + ($1 × r) = $40
20 + r = 40
r = 40 - 20
r = 20
He will get 20 pounds.
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I need help with this pls
Answer:
B
Step-by-step explanation:
The given fraction means to divide -3/8 by -7/54.
You are dividing a fraction, -3/8, by another fraction, -7/54.
To divide a fraction by a fraction, multiply the first fraction by the reciprocal of the second fraction.
-3/8 / -7/54 = -3/8 • (-54/7)
Answer: B
Hello!
Let's solve:
[tex]\text{Write down the function}\\\dfrac{-\dfrac{3}{8} }{-\dfrac{7}{54} } \\\\\\\text{When dividing by a fraction, flip the fraction over and multiply it to the numberator}\\-\dfrac{3}{8} *-\dfrac{54}{7}[/tex]
Thus an equivalent multiplication expression is choice (B)
Hope that helps!
At midnight, the temperature was -5°C.
By 9 am the next morning, the temperature had increased by 3°C .
Work out the temperature at 9 am the next morning.
Explanation:
Draw a vertical number line as shown below.
Plot -5 on the number line which is 5 units below 0.
Then move up 3 units to arrive at -2
This shows us that -5+3 = -2
If tomorrow is Friday, then today is Thursday.
7.25 to the nearest tenth
Answer:
7.3
Step-by-step explanation:
Above 5- round up
below 5- round down
PLS HELPP I WILL MARK BRAINLIEST
The halves of triangle CAD are congruent, because sides CB and BA are congruent, they share the center side, and both are right triangles. So, CD = AD, or:
5x + 1 = 4x + 4
5x + 1 - 1 = 4x + 4 - 1
5x = 4x + 3
5x - 4x = 4x + 3 - 4x
x = 3
AD = 4x + 4
= 4(3) + 4
= 12 + 4
= 16
AD = 16
[tex]\huge \boxed{\sf 16} \\\\\\\displaystyle \sf Both\ right\ triangles\ are\ a\ reflection\ of\ each\ other.\\ Thus,\ they\ are\ equal\ in\ size.\\\\5x+1=4x+4\\5x-4x=4-1\\x=3 \\\\Substituting\ x=3\\\\4(3)+4=12+4=16[/tex]
I need the symetry so please be correct
Answer:
The Point of symmetry is (5, 6) and not (-5, -6).
What can -85 be classified as like a Rational, Whole or a Integer number?
Answer:
-85 is rational and an integer, though an integer is the most specific
Step-by-step explanation:
Whole numbers do not include negative numbers
:]
Help!! Me! Please
(You don’t have to answer all)
1. Which kind of model do you think best represents the profit for each business?
2. Find a function that models the profit you can expect, based on your projections, for each business. You can round your values to the nearest thousandth, as needed.
Answer:
Please see below for answers and explanation and attachments
Step-by-step explanation:
These models are best figured out using regression analysis which is a rather complicated computation but luckily there are calculators that can solve
1. The best way to approach this problem is to plot the values and see whether the model is a linear equation or a higher degree equation.
For all three cases it appears that the equations are not linear which would have suggested a model of the form y = mx + b where y = profit in $, x = hours, m is the slope (rate of increase in profit) and b a constant, the y-intercept
For example if you look at the data for the dog walker table, the increase in $ for every additional hour of service is not constant eliminating a linear model. For the first hour, the increase is $7, the second hour it is $11, the third it is $27
So i assumed a quadratic model of the form y = ax² + bx + c where y = profit in $ and x is the number of hours of service for all three businesses
There are plenty of online calculators out there which can rapidly compute the quadratic regression model parameters fitting the data and provide a level of goodness of fit of the equation through a statistic known as the correlation coefficient, r
I entered the data for all 3 rows and came up with the following results
In all the equations, y represents the profit in $ and x the hours
I have also attached screenshots of the computation results which should be self explanatory
Dog Walker
Equation:
y = 1.05357x² + 8.3964x - 6.7
Correlation Coefficient r:
0.9913546 (pretty high goodness of fit)
House Sitter
Equation:
[tex]y = 1.482x^2 + 1.396x + 9.3[/tex]
Correlation Coefficient r:
0.99556069
Lawn Care
Equation:
y = -5.875x² + 30.582143x + 116.9
Coefficient of Correlation r:
0.9794537681
The attached screenshots will provide all necessary info.
I hope that helps ya out :)
Determine if 0.18750.1875 is rational or irrational and give a reason for your answer.
Need this answer ASAP
Step-by-step explanation:
All decimals which either terminate or have a repeating pattern after some point are also rational numbers. The number 0.2 is a rational number because it can be re-written as 1/5 . The number 0. 33333… is a rational number because it can be re-written as 1/3 .
Arthur crafts miniature chocolate dollhouses which he sells for $24 each. arthur has calculated the breakeven level of revenues for his business at $1,720 of sales. the dollhouses have a variable cost of $12 to produce per unit. what are arthur's fixed costs?
Answer: you mom loves your neighbor
Step-by-step explanation: because the do things together
question 5 (10 points)
Express 9 as a fraction of 27.
Give your answer in its simplest form.
Answer:
[tex]\frac{9}{27}[/tex] =[tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex] = [tex]3[/tex]
Hope this will help you
a credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. according to a survey, the mean credit score is . a credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. he obtained a random sample of high-income individuals and found the sample mean credit score to be with a standard deviation of . conduct the appropriate test to determine if high-income individuals have higher credit scores at the level of significance.
There is insufficient evidence to conclude that those with the high incomes are the ones that have the more credit scores.
How to carry out the hypothesis testWe have the bar x = 705.9
The value of n = 34
mean = 724 . 1
standard deviation = 83.4
the level of significance = 5 percent level
The Hypothesis formulation
The null hypothesis H0 = u 705.9
alternative hypothesis = H1 u > 705.9
The t test is given as x - u / s /√n
= (724.1 - 705.9) / (83.4 / √34)
= 1.2725
The degree of freedom = 34 - 1 = 33
The test that we have here is a right tailed test
The p value for the test is given as probability of p (t33 > t)
= 0.1064
From the solution that we have here, we can see that the p value that has been calculated is greater than the level of significance.
Given that this is the case, the decision rule would be for us not to reject the null hypothesis.
There is insufficient evidence to the claim that the high income persons have the greater credit scores.
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One employee of a computer store is paid a base salary of 2000 a month plus an 8% commision on all sales over 7000 during the month. how much must the employee sell in one month to earn a total of 4000 for the month
According to this, the answer is that the employee must sell $32,000 in one month to earn a total of $4,000 for the month.
From the information given, the equation would indicate that the total salary is equal to the base salary plus the result of subtracting $7,000 from the amount of sales for 8%:
2000+(x-7,000)*0.08=4,000, where x is the amount of sales
Now, you can solve for x:
2,000+0.08x-560=4,000
0.08x+1440=4,000
0.08x=4,000- 1440
x=2,560/0.08
x=32,000
According to this, the answer is that the employee must sell $32,000 in one month to earn a total of $4,000 for the month.
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Describe the graph of y = -|x + 4| - 5
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.
What is y =-(x 5)+4's vertex? Y = | X is it linear?Examples of algebra. Discover the vertex of absolute value. The vertex in this instance for y=|x5|+4 y = | x - 5 | + 4 is (5,4). Set the interior of the absolute value x5 x - 5 equal to 0 0 to determine the vertex's x x coordinate.
Examples of Algebra The degree of variable y in this instance is 1, which means that the degrees of the variables in the equation violate the definition of a linear equation, indicating that the equation is not a linear equation.
Pick a few x values and look for some ordered pairings to graph an absolute value function. Connect the points by plotting them on a coordinate plane. The graph has a V form, as you can see. (1) The graph's vertex is (0,0).
Obtain the equation y = ax2 + bx + c.
Determine -b / 2A. The vertex's x-coordinate is given here.
Simply enter the value of -b / 2a into the equation for x and solve for y to obtain the vertex's y-coordinate. The vertex's y-coordinate is given here.
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a bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooden balls. a ball is selected from the bag and kept. you then draw a second ball and keep it also. what is the probability of selecting one white ball and one blue ball? round your answer to four decimal places.
Answer:0.096
here this is your answer
a patient is known to have contracted a rare disease which comes in two forms, represented by the values of a binary random variable d ∈ {0,1}. symptoms of the disease are represented by the binary random variables sk ∈{0,1}, and knowledge of the disease is summarized by the belief network:
According to a societal viewpoint, sickness and treatment characteristics that the general public values highly should be taken into account within value frameworks.
The study's goal was to better understand how the general public values characteristics other than health benefits and costs associated with the healthcare system, as well as how they value characteristics that are often associated with rare genetic disorders like Duchenne muscular dystrophy (DMD). The general population placed a high value on attributes including disease severity, impact on life expectancy and HRQoL, and treatment accessibility. These results add to the mounting data that emphasizes the usefulness of broadening value assessments to incorporate characteristics seen as significant from a societal standpoint.
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5
8
of the staff are male. 5
12
of the staff works part time at
the aquarium. What fraction of the staff is female?
The fractions of the staffs that are female if the total fraction of staff is 5/12 is 5/24.
Difference between fractionsFractions are expressed as a ratio of two integers. Given the following parameters;
Fraction of staffs that works in the aquarium = 5/12
Fractions of staffs that are male = 5/8
Determine the fraction of female staffs
Fraction of female staffs = 5/8 - 5/12
Fraction of female staffs = 30-20/48
Fraction of female staffs = 10/48
Fraction of female staffs = 5/24
Hence the fraction of the staff is female is 5/24.
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How many twelfths are in 3 2/3?
To make a mixed number from an improper fraction, divide the numerator by the denominator then there exists eight twelfths in two-thirds.
How to convert mixed numbers to improper fraction?Multiply the full number by the denominator to convert a mixed number to an improper fraction. Include it in the numerator. Add that total to the denominator from the beginning.
To make a mixed number from an improper fraction, divide the numerator by the denominator. After division, the mixed number is produced in such a way that the obtained quotient becomes the entire number, the remainder becomes the new numerator, and the denominator remains constant.
Let the value be [tex]$3 \frac{2}{3}$[/tex].
Convert mixed numbers to improper fraction:
[tex]$a \frac{b}{c}=\frac{a \cdot c+b}{c}$[/tex]
substitute the values in the above equation, we get
[tex]$&3 \frac{2}{3}=\frac{3 \cdot 3+2}{3}=\frac{11}{3} \\[/tex]
Therefore, there exists eight twelfths in two-thirds.
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Find m/BCD if m and m
Answer: 180
Step-by-step explanation:
1) Add the two angles together
160 + 20 = 180
180
You can tell this because a 180-degree line is flat, just like in this picture.
Label the points, lines, and planes to show AB and line n perpendicular to each other in plane R at point B, plane R
(
AB both perpendicular to line p and intersecting line m at point A.
intersecting plane S in line p, and
R
Answer:
sorry i don't know it to should have listened to your teacher
Step-by-step explanation:
Label the points,lines,and planes to show AB and line in perpendicular
to each other in plane R to point B, plane R
What is the slope of the line that passes through the points (0, -10)
and (-4,-11)?
Answer: - 4 /1 x -10
Step-by-step explanation:
the rise is -4
the run is -1
the y intesept is -10
on Friday, 280 Fry Middle school students purchase pizza in the cafeteria.
What is your answer?
2(w + 2) - 5w simplify
Answer: -3w + 4
Step-by-step explanation:
2(w+2) - 5w
2w + 4 - 5w
-3w + 4