Answer:
[tex] ({x}^{2} - {y}^{2} ) - 2x + 2y \\ = (x - y)(x + y) - 2x + 2y \\ = (x - y)(x + y) - 2(x + y) \\ = (x + y)(x - y - 2)[/tex]
A population has a standard deviation of 24. What is the standard error of the sampling distribution if the sample size is 100?
A. 0.48
B. 4.8
C. 0.24
D. 2.4
Answer:
D. 2.4.
Step-by-step explanation:
S.E. = std dev / √N
= 24 / √100
= 2.4.
The standard error of the sampling distribution will be 2.4. Then the correct option is D.
The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, constitutes the statistic's measurement error (SE).
SE = σ / √n
A population has a standard deviation of 24. Then the standard error of the sampling distribution, if the sample size is 100, is calculated as,
SE = σ / √n
SE = 24 / √100
SE = 24 / 10
SE = 2.4
The standard error of the sampling distribution will be 2.4. Then the correct option is D.
More about the standard error link is given below.
https://brainly.com/question/13179711
#SPJ3
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y = 12x + 2
2y = x + 4
choose
The system of equations has no solution,infinitely many solutions, one solution The two equations represent parallel lines, the same lines, intersecting lines.
Answer:
The system of equations has one solution. The two equations are intersecting lines.
Step-by-step explanation:
if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.
2(12x+2)=x+4
next, you have to distribute
24x+4=x+4
subtract 24x from each side
4=-23x+4
subtract 4 from each side
0=23x
divide each side by 23
x=0
now, plug in 0 to one equation.
y=12(0)+2
y=2
the lines intersect at one point, (0,2)
math question pls help asap thxxu
question is in pic
Step-by-step explanation:
you use a cah method which mean to get the angle you divide the adjacent length by hypotenuse and then find the CAH inverse using your calculator to get the angle
I will give Brainiest if you are right
The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.
25x </= 300
Divide both sides by 25
x </= 12
Answer: J
Number line J. beast represents the solution to the inequality.
Step-by-step explanation:
Have a nice day!
Give the other person brainliest! :-)
isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
Answer:
$133,728 would be in the count after 12 hours.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
Isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously.
This means that [tex]P(0) = 77000, r = 0.046[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
This is P(12). So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(12) = 77000e^{0.046*12} = 133728[/tex]
$133,728 would be in the count after 12 hours.
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 18 2 15 35 Female 20 12 19 51 Total 38 14 34 86 If one student is chosen at random, Find the probability that the student did NOT get an "B"
Answer:
If we are choosing students at random from all students who got a B:
Total number of non-female students who got a B: 19
Total number of students who got a B: 36
Probability: 19/36
If we are choosing students at random from all students:
Total number of non-female students who got a B: 19
Total number of students: 78
Probability: 19/78
Find the complete factored form of the
polynomial:
- m2n5 - 4m3n6
Enter the correct answer.
Answer:
-m^2n^5(1+4mn)
Plz ASAP help with question 15 I really need help
please help :((
Use the zeros and the labeled point to write the quadratic function represented by the graph. (1.4)
A. y= x2 - 5x + 6
B. y = 2x2 - 2x - 12
C. y = 2x2 - 10x + 12
D. y = 3x2 + 15x + 18
The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.
What is the quadratic function represented by the graph?It follows from the task content that the quadratic function which is represented by the graph be determined.
Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.
Hence, since it follows that the roots are 2 and 3; we have;
y = a (x - 2) (x -3)
Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;
4 = a (1 -2) (1 -3)
4 = a(-1) (-2)
4 = 2a
a = 2.
On this note, the required equation is; y = 2 (x - 2) (x - 3).
Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.
Read more on quadratic functions;
https://brainly.com/question/14538087
#SPJ1
There are 28 candy bars in in a giant bag of Hershey candy. Seven are
dark chocolate, 8 are milk chocolate, 6 are peanut butter, seven more are
crunch. What is the probability that you would randomly pick a MILK
chocolate from the big bag of candy?
Answer:
0.286
Step-by-step explanation:
7 dark
8 milk
6 peanut
7 crunch
28 total
To find the probability, you must find Part/Total.
So, to find the milk choco probability...
[tex]\frac{8}{28} =0.285714286[/tex]
Rounded to the hundredth, the probability of getting Milk Chocolate from the bag is [tex]0.286.[/tex]
Questlon 2 of 10 Which distribution is positively skewed? will give brainliest
Answer:
The answer is B
Step-by-step explanation:
Please help I would be really happy:)
Find the value of x.
Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.
Answer:
i. A = $25 t + $150
ii. B = $35 t + $100
iii. Number of hours = 5
Step-by-step explanation:
For company A:
A = $25 t + $150
where A is the amount charged and t is the number of hours of landscaping.
For company B:
B = $35 t + $100
where B is the amount charged and t is the number of hours of landscaping.
When the time is 5 hours, then:
i. A = $25 t + $150
= $25 (5) + $150
= $125 + $150
A = $275
ii. B = $35 t + $100
= $35(5) + $100
= $175 + $100
B = $275
Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.
If the expression below has a positive value, which inequality represents all possible values of x in the expression? -3x
Answer:
x < 0
Explanation:
A negative times a negative equals a positive, and the expression is positive, so x has to be negative/less than 0
I know you already got the answer, but one of the links was deleted so I thought I'd post it as an answer instead of a comment :)
what is the quotient (3x^3 - x^2 - x -1) / (x - 1)?
Answer: 3x^4 - 4x^3 + 1
Step-by-step explanation:
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Answer:
The first option.
Step-by-step explanation:
You take the major vertical length and put it into this equation:
2a = 16
a/2 = 16/2
a = 8
You do the same with the minor length.
2b = 10
b/2 = 10/2
b = 5
You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.
(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1
Lenore pays $10.08 for 3.2 pounds of flour. What is the price per pound of the flour?
Answer:
3.15
Step-by-step explanation:
10.08 / 3.2 = 3.15
Hi can someone answer this question please
Which number line represents the solution to the inequality -7x - 13 ≥ 87
Answer:
x ≤ - 3
Option A
Step-by-step explanation:
Given the inequality :
-7x - 13 ≥ 8
Add 13 to both. Sides
-7x - 13 + 13 ≥ 8 + 13
-7x ≥ 21
Divide both sides by -7
x ≤ - 3
Dilations… please help I will give you brainless
Answer:
The scale factor is 0.5
Step-by-step explanation:
Divide.
2/1=2
4/2=2
4/2=2
8/4=2
2/1=2
5/1.25=2
Now then, since this is a shrinking factor, divide 1 by the common outcome from the last section (2) to get 0.5
Use a ratio box to solve this problem. The price of one model of car increased 10 percent in one year. If the price this year is $17,600,
what was the price last year
Answer:
$15,840
Step-by-step explanation:
10% of 17600 = 1760
17600 - 1760 = 15840
Probability distribution
Answer:
a) The value of q is 0.2.
b) E(X) = 1.85.
Step-by-step explanation:
Question a:
The sum of all the probabilities must be 1. So
[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]
[tex]x + 0.8 = 1[/tex]
[tex]x = 0.2[/tex]
The value of q is 0.2.
Question b:
Multiplication of each value of x by its probability. So
[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]
So the answer is E(X) = 1.85.
Plsss help me, i need to round to the nearest angle:)
Yolanda is planning out her square vegetable garden, One side 6 feet. How
can I represent the area with exponents?
Answer:
6^2
Step-by-step explanation:
A square has equal sides. The area of a rectangle or square is LxW. Since the length and width are the same it is squared or put to the power (exponent) of 2.
1.
A diagram of Ryan's yard is shown.
-12 ft
10 ft
14 ft
5 ft
Which expression can Ryan use to find the total
area of his yard?
A. (10+4)(12+5)
B
(10 + 4) X (12 - 5)
C. (12 x 10) - (5 x 4)
D. (12 x 10) + (5 x 4)
Answer:
D. (12 x 10) + (5 x 4)
Step-by-step explanation:
If you draw a line separating the big square from the little square, you have a 12 x 10 large square, and a 5 x 4 smaller square. We know the second dimension of the small square because the large square takes 10ft off of the total length of 4ft.
Calculate both areas separately, then add them together.
Plz answer this question need ASAP
Answer
its b
Step-by-step explanation:
43k 67u 88j
The circumference of a circle is 119.32 centimeters. What is the circle's diameter?
Use 3.14
c=2πr
119.32=2πr
119.32=2*3.14r
119.32/(2*3.14)=r
r=19
d=2r
d=2*19
ANSWER: d=38cm
Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders one coffee and three doughnuts and pays $5.00. Cathy orders three coffees, one juice, and four doughnuts and pays $11.50. Find the price of coffee, juice, and doughnuts at this coffee shop.
Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:
[tex]c = coffee\\ j= juice\\ d = doughnut[/tex]
So, we have:
Anna
[tex]2c + j + 2d = 7.50[/tex]
Barry
[tex]c + 3d = 5.00[/tex]
Cathy
[tex]3c + j + 4d = 11.50[/tex]
Required
The price of each
We have:
[tex]2c + j + 2d = 7.50[/tex]
[tex]c + 3d = 5.00[/tex]
[tex]3c + j + 4d = 11.50[/tex]
Make c the subject in: [tex]c + 3d = 5.00[/tex]
[tex]c = 5.00 - 3d[/tex]
Substitute [tex]c = 5.00 - 3d[/tex] in [tex]2c + j + 2d = 7.50[/tex] and [tex]3c + j + 4d = 11.50[/tex]
[tex]2c + j + 2d = 7.50[/tex]
[tex]2[5.00 - 3d] + j + 2d = 7.50[/tex]
[tex]10.00 - 6d+ j + 2d = 7.50[/tex]
Make j the subject
[tex]j = 7.50 - 10.0 +6d - 2d[/tex]
[tex]j = -2.50 +4d[/tex]
[tex]3c + j + 4d = 11.50[/tex]
[tex]3[5.00 - 3d] + j + 4d = 11.50[/tex]
[tex]15.00 - 9d + j + 4d = 11.50[/tex]
Make j the subject
[tex]j = 11.50 - 15.00 + 9d -4d[/tex]
[tex]j = -3.50 + 5d[/tex]
So, we have:
[tex]j = -3.50 + 5d[/tex] and [tex]j = -2.50 +4d[/tex]
Equate both values of j
[tex]-3.50 + 5d = -2.50 + 4d[/tex]
Collect like terms
[tex]5d - 4d = 3.50 -2.50[/tex]
[tex]d = 1.00[/tex]
Substitute [tex]d = 1.00[/tex] in [tex]j = -3.50 + 5d[/tex]
[tex]j = -3.50 + 5d[/tex]
[tex]j = -3.50 + 5 * 1.00[/tex]
[tex]j = -3.50 + 5.00[/tex]
[tex]j = 1.50[/tex]
To solve for c, we substitute [tex]d = 1.00[/tex] in [tex]c + 3d = 5.00[/tex]
[tex]c + 3 * 1.00 =5.00[/tex]
[tex]c + 3.00 =5.00[/tex]
Solve for c
[tex]c =- 3.00 +5.00[/tex]
[tex]c =2.00[/tex]
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they usually have homework.
.
Taylor interviews 30 students.
.
Hunter interviews 40 students.
• Grace interviews 20 students.
.
Aidan interviews 70 students.
Whose results are probably the most trustworthy?
A. Taylor's
B. Grace's
C. Hunter's
D. Aidan's
Identify the volume of the hemisphere in terms of π.
The figure shows a hemisphere. The hemisphere has a radius of nine centimeters.
V = 729π cm3
V = 121.5π cm3
V = 486π cm3
V = 364.5π cm3
Answer:
Solution given:
radius [r]= 9cm
volume of hemisphere =2/3 ×(πr³)=2/3×π×9³
=486πcm³ is your answer