Answer:
No
Step-by-step explanation:
The cost of running six seminars is [tex]10000+1500+6(400+250)=\$15400[/tex].
The revenue earned is about [tex]1500(6)=\$9000[/tex].
Since the revenue is significantly less than the cost, there will not be a profit.
please help asap i have 2 days
Answer:
first option
Step-by-step explanation:
inequalities of the type | x | > a have solutions of the form
x < - a or x > a
given
| 7 + m | - 4 > 8 ( add 4 to both sides )
| 7 + m | > 12
then
7 + m < - 12 (subtract 7 from both sides )
m < - 19
OR
7 + m > 12 ( subtract 7 from both sides )
m > 5
solution is m > 5 or m < - 19
a students grade in psycology course is compromised of test (45%) quizzes (35%) papers (10%) and a finale project (10%) his scores for each of the catagories are 75 (test) 85 (quizzes) , 88 (papers), and 90 (final project) whats the answer?
81.3 marks is obtained by the student in psycology course
percentage of marks of test that count for final marks =45 %
percentage of marks of quizzes that count for final marks =35 %
percentage of marks of papers that count for final marks =10 %
percentage of marks of final project that count for final marks =10 %
marks obtained by student in test = 75
marks obtained by student in quizzes = 85
marks obtained by student in papers = 88
marks obtained by student in final project = 90
Total marks obtained = [tex]\frac{45}{100} * 75 + \frac{35}{100} *85 + \frac{10}{100} * 88 +\frac{10}{100} *90[/tex]
Total marks obtained = 33.75 + 29.75 + 8.8 + 9 = 81.3
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Autumn has a smart phone data plan that costs $50 per month that includes 9 GB of data, but will charge an extra $10 per GB over the included amount. How much would Autumn have to pay in a month where she used 3 GB over the limit? How much would Autumn have to pay in a month where she used went over by xx GB?
Answer:
1. $80 dollars for the month she used 3 GB over her data limit.
2. 10x + 50.
Explanation:
1. Autumn used 3 GB data more than her plan offered. $10 dollars a gigabyte of data times 3 gigabytes equals 30, plus 50 dollars for the base smartphone plan (which, off topic, sucks) equals 80 dollars for the month.
2. 10x + 50 means 10 dollars per X gigabytes, plus the base 50 dollars a month Autumn has to pay.
x+6/-2= 5
what is x
Answer:
Step-by-step explanation:
x - 3 = 5
(x -3) +3 = 5+3
x - 3 + 3 = 8
so,
x = 8
help please struggling
Answer:
Step-by-step explanation:
There are just two triangles stuck together , here. Don't let that throw you off your game :DD
solve for a
then b
for a it's 180 = 2*36 +a ( b/c of the red marks , again)
180 = 72 +a
180-72 =a
108 = a
Now solve for b
180 = 2b + 42 (red marks tell us this formula works, again)
180-42 = 2b
138 =2b
138/2 =b
69 = b
Do you see , now, how I get those formulas???
Please complete the proof.
The line l and line m are parallel.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that, transversal t cuts line l and line m.
∠2≅∠7
Transversal t cuts line l and line m (Given)
∠2≅∠7 (Given)
∠2≅∠3 (Vertical angles theorem)
∠3≅∠7 (Converse of corresponding angles postulates)
l║m proved
Hence, the line l and line m are parallel.
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(federal income taxes and piecewise functions mc) determine f(−2) for a piecewise function f of x in three pieces. the function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4. −1 −6 8 9
Answer:
9
Step-by-step explanation:
Factor t12 – r3s15. (t4 – rs5)(t8 – rs5t4 – r2s10) (t4 – rs5)(t8 rs5t4 r2s10) (t9 – rs12)(t18 rs12t9 r2s24) (t4 rs5)(t8 – rs5t4 r2s10)
The factor is [tex](t^4+rs^5)(t^8-rs^5t^4+r^2s^{10})[/tex].
Option (D) is correct.
What is factorization?
Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors.
Given:
[tex]t^{12}-r^{3}s^{15}[/tex]
For factorizing the above expression is
now, using the formula
(a³ - b³) = ( a+ b)( a² -ab + b²)
Then,
[tex]=(t^4)^{3}-(rs^{5})^{3}\\=(t^4+rs^5)((t^4)^2-(t^4\timesrs^5)+(rs^5)^2)\\=(t^4+rs^5)(t^8-rs^5t^4+r^2s^{10})[/tex]
Hence, the correct factorization is [tex](t^4+rs^5)(t^8-rs^5t^4+r^2s^{10})[/tex].
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Answer:
B
Step-by-step explanation:
The cost of 4 avocados and 5 tomatoes is $3.76. Six avocados and 3 tomatoes cost $4,02. Find the cost of each avocado and each tomatoe.
Answer:
It costs $0.49 for each avocado and $0.36 for each tomato.
Step-by-step explanation:
This is a system of equations problem.
Let x represent the avocados and y represent tomatoes:
4x + 5y = 3.76 <--- scenario 1
6x + 3y = 4.02 <---- scenario 2
If we graph these out on a graphing calculator, the lines will intersept at point (0.49,0.36)
The x coordinate represents how much it costs for each avacado and the y coordinate represents how much it costs for each tomato
PLEASE HELP! Giving all my points
fill in all questions please
1:
The mean is 14.8
The median is 14 (11+17)/2=14
The mode is 10
2:
15, 21, 23, 26, 28, 30, 36, 38, 40, 43, 45, 49
3:
The mean is 91.6666666667
4:
The cost of the 5th child is $7850
IM SO SORRY IF I GOT ANY WRONG!!!!!!
Find the length of the diagonal triangle using pythagoras theorem.given / = 8cm b=6cm
Answer: 10 cm
Step-by-step explanation:
Given, length=8cm
breadth=6 cm
Pythagoras theorem states that sum of square of base and square of perpendicular height is equal to square of hypotnyse.
Thus, we can write:
Considering, base=length=8cm
Perpendicular=breadth=6cm
Therefore, length of diagonal =√(length∧2+breadth∧2)
=√(8∧2+6∧2) cm
= 10 cm
Therefore the length of diagonal = 10cm.
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if we repeatedly and infinitely take random samples of size n from a population, what will the distribution of the sample means look like?
When n is large the distribution of the sample means will approach a normal distribution.
The central limit theorem (CLT) is a statistical theory that predicts that given a large enough sample size from a population with a certain level of variation, the mean of all the samples from that population will be close to the population mean.
To put it another way, the central limit theorem predicts with absolute certainty the form of the distribution of means when we take repeated samples from a certain population. In particular, the distribution of means derived from repeated sampling will tend toward normality as sample sizes increase.
In other words, when n is large, the distribution of the sample means will resemble a normal distribution if we continually pick independent, random samples of size n from any population.
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PLEASE HELP!!
Ralph and Liza are both driving from Los Angels to Santa Fe. leaves at 7:00 and averages 60 mph (miles per hour) on the way. Liza leaves at 7:25 and averages 65 mph on the way. The situation is modeled by this system, where x is the number of hour after Liza leaves and y is the distance each will travel
y=60x+25
y=65x
How long after Liza leaves will she pas Ralph, and how far will they each have traveled?
A. Liza will not pass Ralph, because she will never catch up with him.
B. Liza will pass Ralph after 3 hour, and they each will have traveled 205 miles.
C. Liza will pass Ralph after 5 hours, and they each will have traveled 325 miles.
D. Liza will pass Ralph after 4 hours, and they each will have traveled 260 miles.
Liza will pass Ralph after 5 hours, and they each will have traveled 325 miles.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The situation is modeled by this system,
⇒ y = 60x + 25
⇒ y = 65x
Where, x is the number of hour after Liza leaves and y is the distance each will travel.
Now,
Since, The situation is modeled by this system,
⇒ y = 60x + 25
⇒ y = 65x
To equate both equation, we get;
⇒ 65x = 60x + 25
⇒ 5x = 25
⇒ x = 5
Thus, Liza will pass Ralph after 5 hours.
And, The distance will they each have traveled is,
⇒ y = 60x + 25
⇒ y = 60 × 5 + 25
⇒ y = 300 + 25
⇒ y = 325 miles
Thus, They each will have traveled 325 miles.
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Describe all the positive integers that would make (3²)greater than 39. Explain your reasoning
The positive integers that would make (3²)ⁿ greater than 39 are any positive integers greater than 1.
How to describe all the positive integers that would make (3²) greater than 39?An integer means the number zero (0), a positive natural number or a negative integer with a minus sign (−1, −2, −3, etc.).
To see this, we can simply plug in different values for the positive integer and see when(3²)ⁿ becomes greater than 39.
If we plug in 1, we get (3²)ⁿ = 9, which is not greater than 39.
If we plug in 2, we get (3²)ⁿ = 81, which is greater than 39.
Therefore, any positive integer greater than 1 would make (3²)ⁿ greater than 39.
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Possible Question
Describe all the positive integers that would make (3²)ⁿ greater than 39. Explain your reasoning
In problem 3, the wind blows harder and the top of the
balloon is now 15 feet over from the stake. What is the
height of the balloon now? Draw a diagram to help you
solve the problem and explain your answer.
To solve this problem, we can use the Pythagorean theorem to find the height of the balloon. In particular, we can consider the right triangle formed by the stake, the top of the balloon, and the part of the string that is attached to the stake.
[asy]
unitsize(2 cm);
pair A, B, C, D, E;
A = (0,0);
B = (0,15);
C = extension(A,B,A+(1,0),B+(1,0));
D = extension(A,C,A+(0,1),C+(0,1));
E = extension(B,D,B+(0,-1),D+(0,-1));
draw(A--B--C--cycle);
draw(A--D--E--cycle);
draw(rightanglemark(A,D,C,2));
label("$A$", A, S);
label("$B$", B, N);
label("$C$", C, E);
label("$D$", D, E);
label("$E$", E, W);
[/asy]
Let $a$ be the distance from the stake to the top of the balloon, $b$ be the height of the balloon, and $c$ be the length of the string. We know that $a = 15$ feet and $c = 15$ feet, so we can use the Pythagorean theorem to find $b$:
$a^2 + b^2 = c^2$
$15^2 + b^2 = 15^2$
$225 + b^2 = 225$
$b^2 = 0$
$b = \sqrt{0} = 0$ feet
Therefore, the height of the balloon is 0 feet. This is because the balloon has been pulled up by the wind so that its top is directly above the stake, and therefore its height is 0 feet.
Parallelogram MNPR has diagonals that intersect at E. In the parallelogram, ME = (7x - 30) cm and PE = (5x-12) cm. What is MP?
A. 9 cm
B. 21 cm
C. 33 cm
D. 66 cm
The measure of the diagonal MP is 66 cm.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, Parallelogram MNPR has diagonals that intersect at E. In the parallelogram, ME = (7x - 30) cm and PE = (5x-12) cm.
We know that, diagonals of a parallelogram bisects each other,
Therefore, ME = PE
(7x - 30) = (5x-12)
2x = 18
x = 9
ME = PE = 33
MP = ME + PE
MP = 33+33
MP = 66
Hence, The value of MP is 66 cm
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please show your work
The expression simplify value is [tex]48x ^{-9} * y^{10}[/tex]
How do you gradually simplify an expression?Simple Rules and Procedures for Any Algebraic Expression
Remove brackets and parentheses by multiplying the appropriate factors.
If the words have exponents, use the exponent rule to eliminate grouping.
By adding or removing coefficients, combine like terms.
Add the constants together.
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression.
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Simplify and Multiply the numbers.
[tex]6x ^{-9} * 8y^{10} \\48x ^{-9} * y^{10}[/tex]
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Lin is selling boxes of cookies. Each box costs $3.75. Lin's goal is to earn more than $30 selling cookies.
If Lin sells b, boxes of cookies, write an inequality (using symbol < or >) that will be true whenever Lin makes her goal.
NEED ASAP!!
Answer: If Lin sells b boxes of cookies, she will earn 3.75b dollars. Therefore, the inequality that will be true whenever Lin makes her goal is:
3.75b > 30
This inequality can be read as "the total amount of money Lin earns selling cookies is greater than $30."
Step-by-step explanation:
sketch the region enclosed by the given curves. y = 4/x, y = 16x, y = 1 16 x, x > 0
In order to plot the region enclosed by the given graphs we have to find the intersection points of all the 3 graphs taking 2 at a time
so finding intersection point of the y=4/x and y=16x
4/x=16x
=> [tex]x^{2}[/tex] = 1/4
=> x = 1/2 as x>0
and y=16x
=> y =8
now finding intersection point of y=4/x and y=1/16x
=> 4/x =x/16
=> [tex]x^{2}[/tex] = 64
=> x = 8 as x>0
and y= 4/x
=> y=1/2
now finding intersection point of y=16x and y=1/16x
the intersection point of both line is x=0
so y=16x
=> y=0
so we will get the intersection point of all the lines now after plotting all the points below we will get the graph as attached below.
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The census bureau gives this distribution for the number of a family household's related children under the age of 1818 in american households in 2016: number of children 00 11 22 33 44 proportion 0. 580. 58 0. 180. 18 0. 160. 16 0. 60. 06 0. 20. 02 in this table, 44 actually represents four or more (the census bureau does not provide separate information on households with 5,5, 6,6, or more children under the age of 18). 18). But for purposes of this exercise, assume that it means only households with exactly four children under the age of 18. 18. This is also the probability distribution for the number of children under 1818 in a randomly chosen household. The expected value of this distribution is the average number of children under 1818 in a household. What is this expected value? (use decimal notation. Give your answer as an exact number. )
The average number of children in a family under the age of 1818 is 0.76, which is the predicted value of this distribution.
The product of each potential result and its associated probability yields the anticipated value of a probability distribution. The probable outcomes in this scenario are 0, 1, 2, 3, & 4 minors, with the associated probability shown in the table.
We may add the products of each result and its probability to determine the estimated return of this distribution:
Expected value = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.02)
= 0 + 0.18 + 0.32 + 0.18 + 0.08
= 0.76
Therefore, 0.76 children below the age of 18 per household are the anticipated value of this distribution.
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Find the measure of each angle indicated
A. 113 degree
B. 67 degree
Help!!!
Answer:
A. 113 degree
Step-by-step explanation:
These are Alternate Interior Angles, which means the 113-degree angles and the? are equal. So, the answer is A
PLEASE HELP MEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
(-1 - 3)/(3 - 0) = -4/3
y - 3 = -4/3(x - 0)
y - 3 = -4/3x + 0
y = -4/3x + 3
Given the piont and slope write the equation of the line 4,2 slope = 3
Answer:
I am not sure which form you want.
Points slope: y -2 = 3(x -4)
Slope intercept: y = 3x -10
Step-by-step explanation:
Point slope form for the line
y- y = m(x -x)
slope of 3 and the point (4,2) Use 4 for x and 2 for y
y -2 = 3(x -4)
Slope intercept form of a line
y = mx + b
2 = 3(4) + b
2 = 12 + b Subtract 12 from both sides
2 - 12 = 12 - 12 + b
-10 = b
y = mx + b
y = 3x -10
A group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". When this interesting creature dies, it explodes itself into a number of baby piknits called gogles. The scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. After the piknits died they counted the number of gogles that each piknit produced. They wanted to know if the weight of the piknits can be used to predict the number of gogles.
What are the appropriate null and alternative hypotheses?
Group of answer choices
H0: There is no linear relationship between the weight of piknits and the number of gogles
Ha: There is a negative linear relationship between the weight of piknits and the number of gogles
H0: Weight of piknits is a useful predictor for the number of gogles
Ha: Weight of piknits is not a useful predictor for the number of gogles
H0: There is a linear relationship between the weight of piknits and the number of gogles
Ha: There is no linear relationship between the weight of piknits and the number of gogles
H0: There is no linear relationship between the weight of piknits and the number of gogles
Ha: There is a linear relationship between the weight of piknits and the number of gogles
The required explanation of null hypothesis and alternate hypothesis for given question is below.
What is hypothesis test?
Hypothesis testing is a type of measurable derivation that utilizes information from an example to make inferences about a populace boundary or a populace likelihood circulation. Initial, a speculative supposition that is made about the boundary or dissemination.
According to question:
Connection is a factual measure that communicates the degree to which two factors are directly related (meaning they change together at a consistent rate).
It's a typical device for portraying basic connections without saying something about circumstances and logical results.
As indicated by the inquiry,
A gathering of researcher haphazardly chose 20 Piknits from the ocean bottom and estimated their particular loads in grams.
Likewise, They were curious as to whether the weight of the Piknits can be utilized to foresee the quantity of Gogles.
From the given data,
Null hypothesis : H0 : There is no direct connection between the heaviness of piknits and the quantity of gogles
Alternative hypothesis : Ha: There is a direct connection between the heaviness of piknits and the quantity of gogles
Choice 4 is right about Null hypothesis and Alternative hypothesis.
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Use a graphing utility to find or to approximate the x-intercepts of the graph of the function.
y = 5x²-24x + 16
Answer: (2.4, -12.8)
Step-by-step explanation:
make this graph into y=mx+b form
Answer: y=-3x-5
Step-by-step explanation:
(0,-5) (-1,-2)
[tex]\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}[/tex]
x₁=0 x₂=-1 y₁=-5 y₂=-2
[tex]\displaystyle\\\frac{x-0}{-1-0}=\frac{y-(-5)}{-2-(-5)} \\\\\frac{x}{-1} =\frac{y+5}{-2+5} \\\\-x=\frac{y+5}{3}[/tex]
Multiply both parts of the equation by 3:
[tex]-3x=y+5\\\\-3x-5=y+5-5\\\\-3x-5=y[/tex]
[tex]Thus,\ y=-3x-5[/tex]
the value of expression 3y+8 if y = -5 is :
Answer:
-7
*I think*
Step-by-step explanation:
3×(-5)=(-15)
(-15)+8=(-7)
Math pls help now. Pl
Answer:
The answer is 44. 10% more than 40 is 40 + 4 = 44.
Step-by-step explanation:
To find 10% more of a number, you can simply multiply the number by 10%. In this case, 10% of 40 is 40 * 0.1 = 4. Therefore, 10% more than 40 is 40 + 4 = 44.
Answer:
110/100 × 40 = 44 ( remember this is not the only ans)
all numbers must be greater than 44
You are intereted in etimating the mean height of bear in the moky mountain. From pat data, you etimate that the tandard deviation to be 10 inche. Uing a 99% confidence level, what ample ize would you need in order to etimate the mean height of all bear in the Smokie within 4 inche of the actual height?
In order to estimate the mean height of all bears in the Smokies within 4 inches of the actual height with a 99% confidence level, you would need a sample size of 25 bears.
You must calculate the sample size using the formula below in order to estimate the mean bear height in the Smokies within 4 inches of the actual height at a 99% confidence level:
n = [tex](\frac{2 X SD}{E})^2[/tex]
Where,
n = sample size
SD = standard deviation of the population (which you have estimated to be 10 inches)
E = margin of error (which you want to be 4 inches)
Putting these values into the formula, we get:
n = [tex](\frac{2 X 10}{4})^2[/tex]
= 25
In order to estimate the mean height of all bears in the Smokies within 4 inches of the actual height with a 99% confidence level, you would need a sample size of 25 bears.
It's important to note that this is only a rough estimate, and the exact sample size may change depending on the population's real characteristics and the level of precision you require. To enhance the accuracy of your estimate, it's also critical to select a sample that is typical of the total population.
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helppp please i dont know how to do this
The solution of the pairs of lines are as follows,
(1) Line 1 and line 2 are perpendicular to each other.
(2) Line 1 and line 3 are parallel to each other.
(3) Line 2 and line 3 are perpendicular to each other.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Calculate the slope of each line,
LIne 1
3y = 2x + 5
y = 2/3x + 5/3
Compared with the standard equation of line y = mx + c,
Slope m = 2/3
Similarly.
The slope of line 2 = -3/2
The slope of line 3 = 2/3
Now. properties of pair of lines state that the slope of parallel lines is equal and the slope of perpendicular lines are negative reciprocal of each other,
So
Slope of line 1 = slope of line 3
But,
The slope of line 2 is the negative reciprocal of the slope of lines 1 and 3.
Thus, the solution of the pair of lines has been shown above.
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