Answer:
A)n= 703.96
B)n= 602.308
Step by step Explanation:
Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
Then z/2 = 1.645
And M = 3.1% = 0.031
A)Nothing is known therefore,
p = q = 0.50
E=0.031
For 90% confidence, z = 1.645
n = (zα/₂)²(p)(1-p)/M²
n= 1.645²× 0.5 × 0.5/0.031²
n= 703.96
Therefore, 703.96randomly selected air passengers must be surveyed to be 99%
B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35
n = (zα/₂)²(p)(1-p)/M²
n= (1.645²× 0.31 × 0.69)/0.031²
n= 602.308
Hence, 602.308 randomly selected air passengers must be surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
Jay is 4 years older than May. May is twice as old as Kay. How old is Jay if Kay is x years old ?
Answer: Jay is 2x + 4 years old
Step-by-step explanation:
May's age = M
Jay's age = J
Kay's age = x
J = M + 4
M = 2x
substitution
J = 2x + 4
Hope it helps <3
You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of data. Create an equation for the situation above.
Answer:
B(x) = 2x + 3
Step-by-step explanation:
Given:
Amount used = 3 GB (constant term)
Additional amount for each stream = 2 GB (slope)
Total bandwidth used for x streams
B(x) = 2x + 3
The variables a and b vary inversely. Use the given values for a and b to write an equation relating a and
b.
a=2; b=5
Answer:
xy=10
Step-by-step explanation:
Vary inversely means x and y have a constant product. The graph is not a straight line. We find the product from the given set of values a=2, b=5 to get ab=10. Therefore xy=10 is the equation.
What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6 ?
y= -3/4x+8
y=-3/4x+6
y=4/3x-8
y=4/3x-6
Answer:
y = 4/3x - 8
Step-by-step explanation:
slope of given line is -3/4 so the perpendicular slope is 4/3
line goes through (6, 0)
y = mx + b
0 = 4/3(6) + b
-8 = b
y = 4/3x - 8
Jon has 5 pairs of socks in his suitcase. What type of number is given here? 1. Whole, integer, rational, real 2. Integer, rational, real 3. Natural, whole, integer, rational, real 4. Rational, real
Answer: 3. Natural, whole, integer, rational, real
Answer:
Answer 3: Natural, whole, integer, rational, real
Step-by-step explanation:
Which of these tables represents a non-linear function? A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.
Answer:
Option C.
Step-by-step explanation:
In a linear function, the change in y-values with respect to x-values is constant.
We need to find table from the given tables which represents a non-linear function.
In option A, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option B, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option C, x is increasing by 1 unit but y is not decreasing by same units. So, rate of change is not constant.
In option D, x is increasing by 1 unit and y is increasing by 1 unit. So, rate of change is constant.
Only in option C, the rate of change is not constant. So, it represents a non-linear function.
Therefore, the correct option is C.
Answer:
The Correct Answer would be C
Step-by-step explanation:
Which graph passes through the point (-5,-6) and has a slope of 2/3 (two over three)
Answer:
Answer A
Step-by-step explanation:
Firstly, you can eliminate the last two choices because they don't go through the point (-5, -6). For slope, use your [tex]\frac{rise}{run}[/tex]. Go up 2 and go left 3, and you'll see that the 1st graph matches this pattern.
please help me for the brainliest answer
Answer:
1.17
Step-by-step explanation:
1 £ = 1.25 dollars
1 Euro = 1.07 dollars
=> 1 £ = (1.25/1.07) Euros = 1.17 Euros
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °
Answer:
[tex]m\angle 1 =105^\circ\\m\angle 2 =75^\circ[/tex]
Step-by-step explanation:
The diagram is drawn and attached below.
From the diagram
[tex]m\angle 2 =75^\circ $ (Alternate Angles)[/tex]
[tex]m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ[/tex]
Answer:
m<2: 75
m<1: 105
Step-by-step explanation: On edge 2021
Hope this helps!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The radicals should be negatives of each other
Step-by-step explanation:
When we get solutions that are radicals, they have to be in the form
a+ sqrt(b) and a- sqrt(b)
His answer is a + sqrt(b) and -a - sqrt(b)
I can type 4 words per minute. How long will it take me to write
an 500 words essay
Answer:
125 min
Step-by-step explanation:
given :
4 words -----> takes 1 min
1 word --------> takes 1/4 min
500 words ------> takes (1/4) x 500 = 125 min
Answer:
It will take 125 minutes
Step-by-step explanation:
Because 500/4 = 125
I will give the most brainiest to whoever answers first
Answer:
201.06
Step-by-step explanation:
A=4πr2=4·π·42≈201.06193
DICIÓN DE POLINOMIOS. Sumar los polinomios. (4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3) SUSTRACCIÓN DE POLINOMIOS. Restar los polinomios. (4x + 9) - (5x – 8)=-x+17 (x2 – 4x + 7) - (2x2 + 6x – 8)=-20x2-13x-72 (5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)20x2 +32x-45x-72 (7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10) (4x2+9)-(5x-8) VI. PRODUCTO DE POLINOMIOS. Multiplicar los polinomios. 5x(x – 4)
Answer:
1) 10x⁵+38x⁴-23x³-101x²- 96x+50
-x+17
(7x²-x-29)=0
3x³ -13x²-4x + 67=0
3x³ -6x²-11x+19
5x²- 20x
Step-by-step explanation:
Spanish
Agregar los polinomios:
(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)
Primero multiplicaremos los polinomios con los corchetes
= 4x + 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)
Ahora simplificaremos dentro de los corchetes agregando primero los términos similares
= 4x + 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)
Ahora suma o resta todos los términos similares y distintos
= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3
= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans
Restando los polinomios
(4x + 9) - (5x - 8) = - x + 17
-5x +8 + 4x + 9 = -x + 17
-x + 17 = -x + 17
(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72
x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72
-x²-10x + 15-20x² + 13x + 72 = 0
-21x² + 3x + 87 = 0
-3 (7x²-x-29) = 0
(7x²-x-29) = 0
(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72
5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72
3x³ + 7x²-11x-5-20x² + 7x + 72 = 0
3x³ -13x²-4x + 67 = 0
(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)
Los signos negativos cambian cuando restamos
= 3x³ -6x²-11x + 19
Ahora multiplicando
5x (x-4) = 5x²- 20x
English
Adding the polynomials :
(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)
First we will multiply the polynomials with the brackets
= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)
Now we will simplify within the brackets first adding the like terms
= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)
Now add or subtract all the like and unlike terms
= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3
= 10x⁵+38x⁴-23x³-101x²- 96x+50 Ans
Subtracting the Polynomials
(4x + 9) - (5x – 8)=-x+17
-5x +8 +4x+9 = -x+17
-x+17=-x+17
(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72
x²-2x²-4x-6x+7+8=20x2-13x-72
-x²-10x+ 15-20x²+13x+72=0
-21x²+3x+87=0
-3(7x²-x-29)=0
(7x²-x-29)=0
(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)= 20x2 +32x-45x-72
5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72
3x³+7x²-11x-5-20x²+7x+72=0
3x³ -13x²-4x + 67=0
(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)
The negative signs are changed when we subtract
= 3x³ -6x²-11x+19
Now Multiplying
5x(x-4) = 5x²- 20x
Can someone please help me I really need help please help me thank you
Answer:
The initial value of the computer
Explanation:
The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.
Expand. If necessary, combine like terms. (x+5)(x−5)
Answer:
x²−25
Step-by-step explanation:
CLT:
Apply the formula (a-b)(a+b) = a^2*b^2. Substitute 'x' for 'a' and y for 'b'.
(x+5)(x−5)
=(x+5)(x+−5)
=(x)(x)+(x)(−5)+(5)(x)+(5)(−5)
=x²−5x+5x−25
=x²−25
Thats a lot of x's
Hope this helps!
If it does please give me a 'thanks'
Answer:
[tex]x^{2} -25[/tex]
Step-by-step explanation:
[tex](x+5)(x-5)[/tex]
[tex](x*x)(x*-5)(5*x)(5*-5)[/tex] multiply the insides by their opposites
[tex]x^{2}-5x+5x-25[/tex] this can also be shown as [tex]x^{2}+5x-5x-25[/tex]
[tex]x^{2} -25[/tex] the [tex]5x[/tex] and [tex]-5x[/tex] cancle each other out
Please help, tysm if you do :)
The length of a rectangle is 2 cm less than three times the width. The perimeter of the rectangle is 92 cm. Find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
The answer is B. 12,34 cm .....:)
Stu Dent received scores of 85, 78, and 81 on his first 3 exams in Algebra 1. What is the lowest score does Stu has to get on his 4th exam, so his test average would be at least an 84?
Answer:
92
Step-by-step explanation:
Given
Scores: 85, 78, 81
Required
Determine the least score in 4th subject is average must be at least 84
To solve this, we'll make use of Mean formula.
Mean = Sum of observations/Number of observations
We have that; Average = 84
Number of subjects = 4
Let the 4th subject be represented by F;
So, the sum of the four Subjects is:
Sum = 85 + 78 + 81 + F
Sum = 244 + F
Substitute these values in the above formula.
84 = ¼(244 + F)
Multiply both sides by 4
4 * 84 = 4 * ¼(244 + F)
336 = 244 + F
Subtract 244 from both sides
336 - 244 = 244 - 244 + F
92 = F
F = 92
To have an average of at least 84, Su's score must be atleast 92
Please help
Determine the dependence between the quantities for the given graph.
Package Delivery
Charges
Total Cost ($)
→X
Weight of the Package
(in pounds)
Answer:
The total cost depends on the weight of the pacakge
I need help with my homework help me please
Answer:
a. 17
b. 50
c. 9
Step-by-step explanation:
Simply replace the variables with the given numbers:
3(5) + 2
15 + 2
17
2(5)²
2(25)
50
(5 - 2)²
3²
9
Answer:
a) 17
b) 50
c) 9
Step-by-step explanation:
x = 5; y = 2
a) 3x + y
b) 2x^2
c) (x - y)^2
a) 3x + y = 3(5) + 2 = 15 + 2 = 17
b) 2x^2 = 2(5^2) = 2(25) = 50
c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9
Help me plz figure this out.
Answer:
B
Step-by-step explanation:
YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm
Answer:
22cm
Step-by-step explanation:
take 22 mulitply by 23=506 dived by 23= to 22
what is the value of n
Answer:
c. 38
Step-by-step explanation:
A line is perpendicular to y = {2/3x + 2/3}
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = - x + [?]
Answer: y = (-3x/2) + 1
Step-by-step explanation:
From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.
Hence the equation will be
y = (-3x/2) + c
As this line passes through (-2,4), putting these values in this equation gives c = 1.
Hence the answer is y = (-3x/2) + 1
Given that f(x).....question and answers in the pic
Answer:
2x sqrt(3)
Step-by-step explanation:
f(x) = 4x sqrt(3x+3) =4x sqrt(3 (x+1)) = 4x sqrt(3 ) * sqrt (x+1)
g(x) = 2 sqrt(x+1)
f(x) / g(x) = 4x sqrt(3 ) * sqrt (x+1)/ 2 sqrt(x+1)
Canceling like terms
= 4x sqrt(3) / 2
= 2x sqrt(3)
MULTIPLY: 4(6-2d) PLEASE HELP!!!!! ASAP!!!!
Answer:
24-8d
Step-by-step explanation:
4✖️6=24
4✖️(-2d)=-8d
=24-8d
Hope this helps, BRAINLIEST would help me:)
Answer:
-8d + 24.
Step-by-step explanation:
4(6 - 2d)
= 4 * 6 - 4 * 2d
= 24 - 8d
= -8d + 24
Hope this helps!
Solve for x: negative 3 over 2, multiplied by x minus 9 equals negative 27 −24 −12 11 12 Btw please show the work bc i not only want the answer, i also want to understand it too
Answer:
[tex]\boxed{ x = 12}[/tex]
Step-by-step explanation:
Given Equation is:
[tex]\frac{-3}{2} (x) - 9 = -27[/tex]
Adding 9 to both sides
=> [tex]\frac{-3x}{2} = -27+9[/tex]
=> [tex]\frac{-3x}{2} = -18[/tex]
Multiplying 2 to both sides
=> -3x = -18 * 2
=> -3x = -36
Dividing both sides by -3
=> x = 12
The pro shop at the Live Oak Country Club ordered two brands of golf balls. Par One balls cost $2.00 each and the Pro Sport balls cost $0.90 each. The total cost of Par One balls exceeded the total cost of the Pro Sport balls by $660.00. If an equal number of each brand was ordered, how many dozens of each brand were ordered?
Answer:
If an equal number of each brand was ordered, how many dozens of each brand were ordered?
50 dozens of each brandStep-by-step explanation:
in order to determine the number of balls purchased, we must first determine the difference in price between them = $2 - $0.90 = $1.10
since the total difference in price was $660 and an equal number of balls were purchased, then the number of balls purchased = $660 / $1.10 = 600 balls
to determine the number of dozens purchased of each brand we just divide 600 by 12 = 50 dozens
find the sum of these polynomials. (x^2 - 5x + 3) + (2x^2 - 3x - 7)
Answer:
[tex]3x^2 - 8x - 4[/tex]
Step-by-step explanation:
This is a short and simple question, but it's good!
We are given the expression [tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex], and simply being asked to combine like elements to simplify the expression. Take a look at the procedure below -
[tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex] - Remove ( ),
[tex]x^2-5x+3+2x^2-3x-7[/tex] - Add like elements,
[tex]3x^2-5x-3x+3-7,\\3x^2-8x+3-7,\\[/tex] - And further simplify to derive solution
[tex]Solution = 3x^2-8x-4[/tex]
Hope that helps!
Simplify: (3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)
Answer:
[tex]-4x^{2} -4xy+6y^{2}[/tex]
Step-by-step explanation:
(3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)
First, we remove the parenthesses. We can just remove the first parnthesses because there isn't any sign before them. When removing the second ones, we will change the sign of every term in it. It becomes:
[tex]3x^{2} -8xy+y^{2} -7x^{2} +4xy+5y^{2}[/tex]
Now we will combine the like terms. That means that we will subtract 7x2 from 3x2, add 4x to -8x etc.
[tex]-4x^{2} -4xy+6y^{2}[/tex]
Answer:
-4xy - 8x + 12y