Solution :
a.The table below shows the different distribution of the students in differnt majors :
Subjects No. of graduates
Accounting 28
Finance 21
Management 24
Info System 16
Marketing 22
Therefore, "accounting" have the maximum number of graduates.
b. The average monthly salaries of the graduates from some of the different majors are :
Subjects Average salary Overall salary
Finance 699 77595
Accounting 1014 112560
Info Sys 577 64000
Marketing 663 73590
Management 688 76320
Therefore, the "Accounting" group have the highest average salary.
c. The "info System" has the lowest overall salary.
2.b. The data showing is more or less the linear relationship between the "Annual Expenses" and the "Weekly usage", therefore initially, we fit the linear regression equation of the form.
\($AE = a+b \times(WU)$\)
The ordinary least square estimates are \($\hat{a} = 10.528 \text{ and} \ \hat{b} = 0.9534\)
So, \($AE = 10.528+0.9534 \times(WU)$\)
c. The amount of the variation the estimated model explains for the entire variation is given by the measure of
\($R^2 = \frac{\text{variance of fitted observation}}{\text{variance in original data}}$\)
= 0.856
It shows the linear regression that explains the good amount of entire variability of the annual expenses. It also supports the assumption of the "Linear Model".
a. The Scatter plot is attached below.
Compute 8P2 *
16
O 56
O 28
O
none of these are correct
Yet again just need answers to this
Answer:
Decreasing Interval
Step-by-step explanation:
I need to write a proportion to the following problem:
3 folders cost $2.91. What written proportion would help determine the cost of 2 folders?
Answer:
The cost of two folder is $ 1.94
Solution:
Given that 3 folders cost $ 2.91
We have to determine the cost of 2 folder
From given,
Cost of 3 folder = $ 2.91
To find the cost of 1 folder, divide 2.91 by 3
Thus cost of 1 folder is $ 0.97
We are asked to find cost of two folders.
Therefore, multiply cost of 1 folder by 2
Thus cost of two folder is $ 1.94
simplify
\((1.25× {10}^{ - 8} )×(8.35× {10}^{ - 5} )\)
simplify
Answer dam it wont let me put it
Step-by-step explanation:
abc
You have 140 pieces of fabric to make a quilt Each piece of fabric is a square with a side length of 10 centimeters. You use as
many pieces of fabric as possible to create a square quilt.
Answer:
You can only get 1 full size 10 by 10 quilt to create a 100 cm quilt, and be left with 40 cm of fabric
Step-by-step explanation:
Ted buys wood to build his guitars. Find the number of blocks of mahogany that Ted can afford to buy if he wishes to spend a total of $5000 this month, mahogany costs $450 per block, and he has already bought 7 blocks of spruce at $200 each.
Answer choices:
7
8
11
10
Answer:
the answer is 8
Step-by-step explanation:
Total amount Ted wishes to spend this month is $5000.
Mahogany costs $450 per block, and he has already bought 7 blocks of spruce at $200 each.
So, money spent on spruce = dollars
Money left after buying spruce = dollars
Now as $450 will be spent on buying 1 block of mahogany.
So, $3600 will be spent
and then your answer will be 8
5.
13 points
A piece of jewelry that regularly costs $120 is on sale for $96. What is the percent of decrease in the
price of the jewelry piece?
A 15%
B 20%
C 18%
D 30%
Answer:
The answer is B
Step-by-step explanation:
Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?
Answer:
C im pretty sure
Step-by-step explanation:
24 divided by 3 = 8 in 1 minute he will make 8 shots
2 = 16
5 x 8 = 40 shots in 5 minutes (correct) so its C
Answer:
C
Step-by-step explanation:
24 in 3 minutes = 8 baskets in 1 minute.
Table:
minutes = baskets
1 = 8
2 = 16
3 = 24
4 = 32
5 = 40
The answer is C, it shows 1,2,5 minutes with the correct rate of change.
A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the deck. You win $10 if the card drawn is an ace. Otherwise, you lose $1.
If you make this wager vary many times, what will be the mean amount you win?
The mean amount won based on the expectation formula of probability will be - 2/13.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Probability of winning = 4/52 = 1/13
Probability of lossing = 1 - 1/13 = 12/13
The mean amount or expectation is given as,
E(X) = 10 × (1/13) + - 1(12/13)
E(X) = 10/13 - 12/13
E(X) = - 2/13
Hence "The mean amount won based on the expectation formula of probability will be - 2/13".
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Q: EXPRESS IT IN THE FORM OF LINEAR EQUATION IN ONE VARIABLE:
•The ordinate of a point is thrice its abscissa.
Answer:
y = 3x
Step-by-step explanation:
abscissa is the x coordinate
ordinate is the y coordinate
y = 3x
what is the answer to this equation 21 x ___=7
Answer:
the answer is 3
Step-by-step explanation:
21 x 3 =7
hope it helps
Answer:
21/7
Step-by-step explanation:
Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3
[3r-15] if r is less than 5
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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a 2-quart cartoon od chocolate milk costs 1.52 what is the price per cup
Answer:
The price per cup is $0.19
Step-by-step explanation:
In a quart there are 4 cups.
1.52÷4=0.38
But because there are 2 quarts you have to divide it by 2.
Which is 0.19
Thats the answer
Pls give Brainliest
Im desperate...
a radio sold for 5670 at a loss of 12%. Calculate the cost price
Answer: $773.18
Step-by-step explanation:
Revenue=Cost 1−Gross Margin
Revenue=5,670.001−0.1200
Revenue=6,443.18
Gross Profit=Revenue×Gross Margin
Gross Profit=6,443.18×0.1200
Gross Profit=773.18
Mark Up=Gross ProfitCost×100
Mark Up=773.185,670.00×100
Mark Up=13.64%
The difference between two positive integers is 60. One integer is three times as great
as the other. Find the integers.
Answer:
a = 90, b = 30
Step-by-step explanation:
If one is three times as great, it must be the bigger number
a - b = 60
a = 3b
-b = 60 - 3b
b = 3b - 60
b - 3b = -60
-2b = -60
2b = 60
b = 30
a - b = 60
a - 30 = 60
a = 60 + 30
a = 90
Reference the attached image for the problem to solve. Thank you very much
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating relative frequency
\(Relativefrequency=\frac{number\text{ of required events}}{number\text{ of total events}}\)STEP 2: Calculate the relative frequency
\(\begin{gathered} number\text{ of club}=12 \\ number\text{ of total cards}=52 \end{gathered}\)By substitution,
\(Relative\text{ }frequency=\frac{12}{52}=\frac{3}{13}\)The relative frequency in a fraction in its simplest form is 3/13
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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the average groundhog weighs about 8 pounds and eats 1/3 of their weight each day in apples beans clovers bark and flowers. if a den has 5 groundhogs living in it how many pounds of vegetation will the group eat in the month of february if it isnt a leap year
Answer:
373.33 lb
Step-by-step explanation:
1/3 of wt of a ground hog = 8/3
1/3 of 5 ground hogs weight = 40/3
each day they eat 40/3 pounds
in Feb they eat 40/3 * 28 = 373.33 lbs
The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units
Answer:
27 cubic units
Step-by-step explanation:
A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units
Find the measure of angle 5 if the measure of angle 7 is 115 degrees
Answer:
115 degrees (vertically opposite angles are equal)
Step-by-step explanation:
2^(2t)-12(2^(t))+32=0
Answer:
t = 2 and t = 3.
Step-by-step explanation:
To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:
2^t = 4Taking the logarithm base 2 of both sides:
t = log2(4)
t = 2For u = 8:
2^t = 8Taking the logarithm base 2 of both sides:
t = log2(8)
t = 3
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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what is the answer for -31 = 9+ 8x? Step by Step.
Answer:
-5
Step-by-step explanation:
-31=9+8x
we need to isolate the variable by moving 8x to the left side and -31 to the right side....therefore 8x becomes a negative, -8x, and -31 a positive....so now it would look like...
-8x=9+31
then we work the right side out...
-8x=40
to get x we need to divide -8x by 8 so we do the same to the right side as well....
-8x=40
÷8 ÷8
so...
x=-5
hope this helped you- have a good day bro cya)
graph the line passing through (−4,−1) whose slope is m=-4/5
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
|
|
| *
| /
| /
| /
-----*--------
|
|
|
|
|
The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
How many pounds of butterfat are in one gallon of whole milk that weighs approximately 8.6 lb. And contains about 4% butterfat
Answer:
Below
Step-by-step explanation:
8.6 lb x 4 % fat = 8.6 x .04 = .344 lb fat
-6x+ 3 times 2x=16 solve for x
x = 2.67 is the solution to the equation -6x + (3)(2x) = 16.
What is the Algebraic Equations?
Algebraic equations are mathematical statements that describe a relationship between two or more variables, where one variable is expressed in terms of the others.
To solve the equation -6x + (3)(2x) = 16, we can simplify the expression on the left-hand side first:
-6x + (3)(2x) = -6x + 6x = 0x = 0
Next, we isolate the x term on one side of the equation by subtracting 16 from both sides:
0x = 0 - 16 = -16
Finally, we can solve for x by dividing both sides of the equation by -6:
x = -16 / -6 = 2.67 (rounded to two decimal places).
So, x = 2.67 is the solution to the equation -6x + (3)(2x) = 16.
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Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Answer:
a. 0.0535 = 5.35% probability that it will not be discovered
b. 0.9465 = 94.65% probability that it will be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
a. If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator.
Event B: Not discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
\(P(A) = 0.67*0.76 + 0.12*0.24 = 0.538\)
Probability of having an emergency locator and not being discovered:
12% of 24%. So
\(P(A \cap B) = 0.12*0.24\)
Desired probability:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535\)
0.0535 = 5.35% probability that it will not be discovered.
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Event A: Has an emergency locator.
Event B: Discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
\(P(A) = 0.67*0.76 + 0.12*0.24 = 0.538\)
Probability of having an emergency locator not being discovered:
67% of 76%. So
\(P(A \cap B) = 0.67*0.76\)
Desired probability:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465\)
0.9465 = 94.65% probability that it will be discovered
What is 98 in exponential form
We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.
To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.
Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:
We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.
To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.
98 ÷ 10 = 9.8
Since 9.8 is still greater than 1, we need to continue dividing by 10.
9.8 ÷ 10 = 0.98
Now, we have reached a value less than 1, so we stop dividing.
From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:
98 =\(10^1\) + 2
Therefore, we can write 98 in exponential form as:
98 = \(10^3\)
In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.
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What is the measure of m?
6
24
m
m= 6y[?]
Give your answer in simplest form.
Similar triangles are those triangles whose corresponding sides are in the same ratio. The measure of m is 6√4.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
In the given triangles ΔABC and ΔBCD,
∠ACB = ∠DCB {Common Angles}
∠BDC = ∠ABC =90°
Therefore, the two triangles are so, for triangles.
(6+24)/BC = m/n = BC/24
BC² = 30×24
BC = √720
Now, using the Pythagorean theorem,
AC² = AB² + BC²
30² = m² + (√720)²
900 = m² + 720
180 = m²
m = 6√4
Hence, the measure of m is 6√4.
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The graph below represents a recent 10 meter race between two remote control cars.
A graph titled Remote Control Car Race has seconds after race start on the x-axis and distance from start line (meters) on the y-axis. A line labeled red car goes through (3, 2) and (6, 4). A line labeled blue car goes through (3, 0) and (5, 2).
Which statements about the race are true? Check all that apply.
The red car won the race because it started above the blue car.
The cars crashed at 9 seconds into the race because that is the point of intersection, and neither car continued on after that point in time.
The blue car passed the red car at 6 m into the race because that is the point of intersection, and the blue car has a greater distance than the red car after that time.
The blue car is faster because the slope of its line is steeper than the slope of the line representiong the red car.
The blue car started 3 seconds late because it has an x-intercept of (3, 0) and x represents the time and y represents the distance from the starting line.
Answer:
options c d e
Step-by-step explanation:
Answer:
C D E
Step-by-step explanation: