Answer:
$32
Step-by-step explanation:
the skirt is on sale. 40 times 0.20 (because of 20 divided by 100) is 8. That means that the skirt is $32 since $40-$8=$32.
Answer:
$32
Step-by-step explanation:
discount is $8
Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
Answer:
The third graph
Step-by-step explanation:
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,600. A random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05. The confidence interval for this hypothesis test would be ________.
Answer:
A 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
Step-by-step explanation:
We are given that a random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample average debt load = $18,800
[tex]\sigma[/tex] = population standard deviation = $4,800
n = sample of students = 28
[tex]\mu[/tex] = population average debt load
Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 5% level of
significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]\$18,800-1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] , [tex]\$18,800+1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] ]
= [$17,022.05, $20,577.94]
Therefore, a 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
The graph of f(x)=4x^3-13x+9x+2 is shown below. How many roots of f(x) are rational numbers? Quick Please!!!!
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
(a) A building has n floors numbered 1,2,...,n, plus a ground floor G. At the ground floor, m people get on the elevator together, and each gets off at a uniformly random one of the n floors (independently of everybody else). What is the expected number of floors the elevator stops at (not counting the ground floor)
Answer:
The expected number of floors the elevator stops at, not counting the ground floor is =
n*(1-(1-1/n)^m)
Step-by-step explanation:
Here, we want to know the expected number of floors the elevator stops at.
let X1,X2,X3,..Xn are indicator variable for which value =1 if at least one person stops on that floor otherwise value is 0
P(at least one person stops at floor Xj)=1-P(none of m people stops at floor j)
=1-(1-1/n)^m
here total number of floors on elevetor Stops X=X1+X2+X3+...+Xn
hence expected number of floors on elevetor Stops
E(X)=E(X1)+E(X2)+E(X3)...+E(Xn)
=(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+..... n times
=n*(1-(1-1/n)^m)
Your total monthly bill (T) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k) you use, you are charged $0.25 and for each therm (t) of gas used you are charged $0.97
The correct answer is A. T = 0.25k + 0.97t
Explanation:
For an equation to be correct it needs to include all important values and use the appropriate mathematical symbols to show how the values relate. In the case presented, it is known the total bill (T) is the result of both the electricity (k) and gas (t) consumed. According to this, the two values need to be added to find the total (T). This means T = k + t.
Besides this, it is specified a kilowatt or unit of electricity costs $0.25, this means the correct expression for finding the total paid for electricity is 0.25k as the number of kilowatts consumed need to be multiplied by the cost of a kilowatt. Similarly, the cost of the gas requires multiplying the number of therms by the cost of one therm, which is $097. According to this, the correct equation is T = 0.25k + 0.97t
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
5 - 2x/ 7 is greater than or equal to 1
5 - 2x >= 1 × 7
5 - 2x >= 7
-2x >= 7 - 5
-2x >= 2
x <= -1 sign changes when divided by negative number
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario? x + y = 500. 215 x + 615 y = 187,500 x minus y = 500. 215 x minus 615 y = 187,500 500 x + 500 y = 187,500. 215 x = 615 y 500 x = 500 y. 215 x + 615 y = 187,500
Answer:
x + y = 500
215x + 615y = 187,500
Step-by-step explanation:
The first equation can show the amount of land. The farmer has 500 acres to plant corn, x, and cotton, y.
x + y = 500
The second equation can show the cost. The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.
215x + 615y = 187,500
The system of equations is
x + y = 500
215x + 615y = 187,500
The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
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;
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
And, Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season.
Now,
Let us take 'x' is plant acres of corn and 'y' is acres of cotton.
Since, A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
So, we can formulate;
⇒ x + y = 500
And, He has $187,500 to invest this season for corn costs $215 per acre to produce, and cotton costs $615 per acre to produce.
So, We can formulate;
⇒ 215x + 615y = 187,500
Thus, The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Range y≥-3
Step-by-step explanation:
Answer:
D. Range: y ≥ -3.
Step-by-step explanation:
(x - 4)^2 - 3
= x^2 - 4x - 4x + 16 - 3
= x^2 - 8x - 13
Since this is a parabola, there are no limits to the x-values, but there is a limit on the y-values: the y-values cannot exceed the highest or lowest point of the parabola, the vertex.
To find the vertex...
-b / 2a
8 / 2 = 4
(4 - 4)^2 - 3
= 0 - 3
= -3
So, your answer is D. Range: y ≥ -3.
Hope this helps!
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if exactly two of the triplets are in the starting lineup?
Answer:
990 ways to choose 6 starters out of 14 with exactly two of the three triplets.
Step-by-step explanation:
Ways to choose 2 of the triplets
= C(3,2) = 3! / (2!1!) = 3
Ways to choose the remaining 4 starters out of 11 players left
= C(11,4) = 11! / (4!7!) = 330
Total number of ways to choose 6 starters
= 3*330 = 990
what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units
Answer:
10 unitsOption C is the correct option
Step-by-step explanation:
Let the points be A and B
A ( 4 , 5 ) ------> ( x1 , y1 )
B ( 10 , 13 ) ------> ( x2 , y2 )
Now, let's find the distance between these points:
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
plug the values
[tex] = \: \sqrt{(10 - 4) ^{2} + {(13 - 5)}^{2} } [/tex]
Calculate the difference
[tex] = \sqrt{ {(6)}^{2} + {(8)}^{2} } [/tex]
Evaluate the power
[tex] = \sqrt{36 + 64} [/tex]
Add the numbers
[tex] = \sqrt{100} [/tex]
Write the number in exponential form with. base of 10
[tex] = \sqrt{ {(10)}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
[tex] = 10 \: units[/tex]
Hope this helps..
Best regards!!
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multiplying the previous term by $\frac{m}{7}$. If the first term of the sequence is positive, how many possible integer values are there for $m$?
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
[tex]Ratio = \frac{m}{7}[/tex]
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be [tex]x * \frac{m}{7}[/tex]
The next will be; [tex]x * (\frac{m}{7})^2[/tex]
The nth term will be [tex]x * (\frac{m}{7})^{n-1}[/tex]
For each of the successive terms to be less than the previous term;
then [tex]\frac{m}{7}[/tex] must be a proper fraction;
This implies that:
[tex]0 < m < 7[/tex]
Where 7 is the denominator
The sets of [tex]0 < m < 7[/tex] is [tex]\{1,2,3,4,5,6\}[/tex] and their are 6 items in this set
Hence, there are 6 possible integer
Which of the following are NOT identity property: y^2=y^2 17=17 0+7a=7a+0 -1+1=0 7 x 1= 7
Answer:
I believe it is -1+1=0
Step-by-step explanation:
Describe each transformation from f(x)
(red) to g(x) (green) in terms of x.
A point like (2,0) that is on the red curve goes to (-2,0) on the green curve. The rule used is [tex](x,y) \to (-x,y)[/tex] which describes a reflection over the y axis. The other points use this rule as well.
In other words, every x becomes -x. Whatever the sign is for x, we swap it from positive to negative or vice versa. This means g(x) = f(-x).
the figure is cut into 8 pieces.
shade 1/2 of the figure
You have to shade 4 boxes of the figure.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given is a box with 8 parts of it,
1/2 of 8 = 8*1/2 = 4
Hence, You have to shade 4 boxes of the figure.
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Write an equation to represent the relationship between the number of mugs and cost for company A. Use c for cost and m for the number of mugs
Answer:
Assuming this is a linear problem, the equation would look like this:
C(m)=Mx
Step-by-step explanation:
Because you don't have any other details, this as much of an answer I can give you. The cost for the company depends on how many mugs they produce. If the cost for making a mug is 3 dollars, then m would be that value, and x would be the amount of mugs you're trying to make.
The relationship between the number of mugs and the cost for company A will be c = nm.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Write an equation to represent the relationship between the number of mugs and the cost for company A.
The cost for company A is directly proportional to the number of mugs.
c ∝ m
c = nm
Where 'n' is the cost of each mug.
The relationship between the number of mugs and the cost for company A will be c = nm.
More about the linear equation link is given below.
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Solve this quadratic equation using the quadratic formula. 3x2 + 5x + 1 = 0
x=−0.23240812,−1.43425854
Evaluate 3(4 - 2)2
A. 108
B. 36
C. 12
D. 100
Answer:
12
Step-by-step explanation:
3(4 - 2)^2
Parentheses first
3 ( 2) ^2
Then exponents
3 *4
Then multiply
12
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
Answer:
It has two solutions.
Step-by-step explanation:
Let as consider the given options are
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
The given equation is
[tex]\dfrac{3}{4z}=\dfrac{1}{4z-3}+5[/tex]
Multiply both sides by 4z(4z-3).
[tex]3(4z-3)=4z+5(4z(4z-3))[/tex]
[tex]12x-9=4z+80z^2-60z[/tex]
[tex]0=-12x+9+80z^2-56z[/tex]
[tex]0=80z^2-68z+9[/tex]
It is a quadratic equation.
Therefore, it has two solutions.
Answer:
It has 1 solution
Step-by-step explanation:
I did the test I put the guys above me in and got it wrong
(pic inside) What is the approximate value of the function at x = 1?
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
FInd the Slope and y-intercept
3y-x=18
Answer:
The slope is 1/3 and the y intercept is 6
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
3y -x =18
Add x to each side
3y = x+18
Divide each side by 3
3y/3 = x/3 +18/3
y = 1/3x +6
The slope is 1/3 and the y intercept is 6
We need to solve for y (y = mx + b):
3y - x = 18
~Add x to both sides
3y = 18 + x
~Divide 3 to everything
y = 6 + x/3 or y = 6 + 1/3/x
So... 1/3 is the slope and 6 is the y-intercept.
Best of Luck!
at an intersection, the red light light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25 minutes. Approximately what percent of red lights last between 2.5 and 3.5 minutes
Answer:
95.45%
Step-by-step explanation:
To go about this, what we do is to calculate the z-scores of the values in the range given.
Mathematically;
z-scores = (x-mean)/SD
Here in this case , mean is 3 and standard deviation is 0.25
So for 2.5 minutes, we have ;
z-score = (2.5-3)/0.25 = -0.5/0.25 = -2
For 3.5 minutes, we have;
z-score = (3.5-3)/0.25 = 0.5/0.25 = 2
The required probability we want to calculate according to the range is thus;
P(-2<z<2)
We can calculate this value by the use of the standard normal table
Mathematically, we can have the above as;
P(-2<z<2) = P(z<2) - P(z<-2)
We proceed using the table and we have the values as follows;
P(-2<z<2) = 0.97725 - 0.02275 = 0.9545
Now the value 0.9545 in percentage would be 95.45%
Please answer this question now
Answer:
b=9.96≅10
Step-by-step explanation:
b^2=a^2+c^2−(2ac)cos(64)
b=√6²+11²-2(6*11)cos64
b=9.96≅10
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also find the co-ordinates of the point of division
Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.
[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]
point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
Please give me the correct answer her please
Answer:
9.3 inStep-by-step explanation:
m∠UTV = 112° ⇒ m∠WTV = 180° - 112° = 68°
sin(68°) ≈ 0.9272
sin(∠WTV) = WV/TV
WV/10 ≈ 0.9272
WV ≈ 9.272
WV ≈ 9.3
Does any wonderful person want to be so kind and give your girl a hand? I am talking about the math question down below:)
Answer:
The last one, The Hypotenuse Leg Theorem, or HL Theorem,
Step-by-step explanation:
Answer:
HL theorem
Step-by-step explanation:
If any 2 right angled triangles have same length of hypotenuse then both are congruent by HL theorem
Given that C is at (-6, -1) and D (4, 8), find the point P that partitions CD into the ratio of 1:3.
Answer:
The coordinates of point P are (-7/2, 5/4)
Step-by-step explanation:
Here, we want to give the coordinates of the point P that divide CD in the given ratio
To do this , we shall be making use of a mathematical formula;
Let’s say the ratio 1:3 represents a:b, our formula those becomes
{(bx1 + ax2)/(a + b) ,( by1+ay2)/a+b}
From the question, we can identify that
(x1,y1) = (-6,-1)
(x2,y2) = (4,8)
a = 1 and b = 3
Plugging these values into the formula we have
3(-6) + 1(4)/(1+3) , 3(-1) + 1(8)/(1+3)
= (-18 + 4)/4 , (-3+ 8)/4
=-14/4, 5/4
= (-7/2, 5/4)
Please Help me ni️️as
Answer: see below
Step-by-step explanation:
Multiply the coefficient by the exponent and reduce the coefficient by 1.
1) f'(x) = 10
2) f'(x) = 12x³ + 4x - 5
3) f'(x) = 6x² + 7
4) f'(x) = 20x + 20
5) f'(x) = 20x + 23
Find the local and global extrema for the polynomial function f whose complete graph is provided.
Answer:
your mark is correct
Step-by-step explanation:
The marked answer choice is correct.
(2, -18) is not a global minimum, because there are function values that are lower.
(0, -6) is not a global maximum, because there are function values that are higher.
A global maximum is also a local maximum.*
_____
* More correctly, a global maximum is either a local maximum or the end point of an interval. No intervals are involved in this question.
Emily reads a 210 page book in 7 days.She read the same number of pages each day.Write the number sentence that shows how to find the number of pages emily read each day.Then solve
Answer:
Step-by-step explanation:
7x=210
x=210/7=30 pages per day
Answer:
Emily read 30 pages per day.
Step-by-step explanation:
1. Divde 210 by 7
Number Sentance: 210÷7= 30
Reasoning:
Since Emily reads the same amount of pages each day we have too, divde 210 by 7.