Answer:
2 is the constant of proportionality in the equation y = 2x .
Step-by-step explanation:
Definition of constant of proportionality
When two variables are directly proportional to each others .
Let us assume that u and v .
u \propto vu∝v
Than the equation becomes u= kv
Where k is called the constant of proportionality .
Thus in the question x and y are proportional variables .
i.e
y \propto xy∝x
y = kx
Where k is called the constant of proportionality .
Compare the equation y = kx with y=2x .
Thus
k = 2
Therefore 2 is the constant of proportionality in the equation y = 2x
the explanation is not mine only the answer
Mixed numbers from 4 to 6 with an interval of 1/4 between each pair of numbers
In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)
Answer:
The Margin of Error E [tex]\simeq[/tex] 4.1 %
Step-by-step explanation:
Given that:
The sample size = 579
The sample proportion [tex]\hat p = 55\%[/tex] = 0.55
From the confidence interval of 95%
The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05
The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]
Thus;
The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]
The Margin of Error E = [tex]1.96 \times .020675[/tex]
The Margin of Error E = 0.040523
The Margin of Error E [tex]\simeq[/tex] 0.041
The Margin of Error E [tex]\simeq[/tex] 4.1%
Ann cut her king-size chocolate bar into 12 equal parts. She ate 7 parts. Which equation shows two equivalent ways to represent how much chocolate is left from Ann's chocolate bar?
Answer:
= 5 parts left
Step-by-step explanation:
12-7=5
Answer:
Step-by-step explanation: 12-7=5
c. 425 x 9,311 =
420
6 TD
10
Answer:
x=
791435
84
,
791435
12TD
Step-by-step explanation:
1 Simplify 425x\times 9311425x×9311 to 3957175x3957175x.
3957175x=420,6TD\times 103957175x=420,6TD×10
2 Simplify 6TD\times 106TD×10 to 60TD60TD.
3957175x=420,60TD3957175x=420,60TD
3 Break down the problem into these 2 equations.
3957175x=4203957175x=420
3957175x=60TD3957175x=60TD
4 Solve the 1st equation: 3957175x=4203957175x=420.
x=\frac{84}{791435}x=
791435
84
5 Solve the 2nd equation: 3957175x=60TD3957175x=60TD.
x=\frac{12TD}{791435}x=
791435
12TD
6 Collect all solutions.
x=\frac{84}{791435},\frac{12TD}{791435}x=
791435
84
,
791435
12TD
Direct and Indirect Proportions
1.
The ratio of Mumuni's age to his father's age is 3:5. The
sum of their ages is 96years. What is Mumuni's age?
2.
Peter and John shared GH¢1000.00 in the ratio 2 : 5
Calculate the amount each received.
3.
Mr. Opuni shared GH¢15,000.00 among his three childre
Gloria, Ophelia and Tina in the ratio 3:5:7. Calculate t
amount each received.
4.
The angles of a triangle are in the ratio 6:5: 7. Calc
the size of each angle.
Answer:
?
Step-by-step explanation:
If two balanced die are rolled, the possible outcomes can be represented as follows. (1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1) (1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2) (1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3) (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4) (1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5) (1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6) Determine the probability that the sum of the dice is 11.
Answer:
1/18Step-by-step explanation:
A die is known to have 6 faces. If n die are rolled, the total number of outcomes or sample space is expressed as;
n(S) = [tex]6^n[/tex] where;
n is the total number of dies
If two balanced die are rolled, the total number of sample space will be;
n(S) = [tex]6^2 = 36[/tex]
Since we want to to determine the probability that the sum of the dice is 11, the possible outcome or event will be;
n(E) = {(5, 6), (6,5)}
N(E) = 2
Probability = Possible outcome/Total outcome
Probability that the sum of the dice is 11 = n(E)/n(S)
Probability that the sum of the dice is 11 = 2/36
Probability that the sum of the dice is 11 = 1/18
Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||
Answer:
YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters
Step-by-step explanation:
i took the test and got 5/5....this answer was correct
the length of a rectangle is six times its width. if the area of the rectangle is 294 cm^2, find its perimeter.
Answer:
98 inches
Step-by-step explanation:
6x^2=294
x^2=49
x=7
2*7+2*42= 14+84=98 inches
The distance from Joe's house to the creek is 5.5 km. The distance from Jane's house to the creek is twice as far. Both Joe and Jane are leaving their houses to go to the creek. How much further, in meters, does Jane have to walk than Joe?
Answer:
5500 meters
Step-by-step explanation:
Convert 5.5 km to meters= 5500meters
Find distance of Jane's house to the creek= 11000 meters
Subtract both distances= 11000-5500= 5500 meters
Number 17 and 18 pls ASAP thanks
what is the slope of a surface having a rise of 5 feet and a run of 0 feet?
A. 100%
B. Undefined
C. 5
D. 50
E. 0
Encide the best answer
1. What is the sum of: -2 + 6?
Answer:
The sim is 4
Step-by-step explanation:
6 - 2 = 4, therefore the -2 and 6 are the same if fliped.
Who can help me with this for algebra 2
Pls help
Find the questions?
Answer:
Step-by-step explanation:
(a). - 5t² + 35t - 60 = 0
(b). (x - 3)(x - 4) = 0
(c). t = 3, 4
Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?
Answer:
4 sacks
Step-by-step explanation:
which of the ordered pairs is a solution to the system of inequalities?
# 6
Write an equation in slope-intercept
form to represent the line
perpendicular to 2x + 10y = 3 passing
through the point (2, 3).
O y = 1/5x+3/10
O y = 5x + 13
y = 5x - 7
O y = -1/5x + 17/5
9514 1404 393
Answer:
y = 5x - 7
Step-by-step explanation:
We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.
10x -2y = ...
Removing a common factor of 2 gives ...
5x -y = 5(2) -(3) = 7 . . . . using (x, y) = (2, 3), we can find the constant
Solving for y, we get ...
5x -7 = y . . . add y-7
y = 5x -7 . . . write in the desired form
Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.
Answer:
= 27.2727% decrease
Step-by-step explanation:
The percentage change to 2 decimal places when a price of £11 is decreased to £8 is 27.27%
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
Given that:
A price is decreased from 11 euros to 8 euros.We've to find the percent changePercent change shows how much percent of the initial amount is changed.
Since we're taking about 'change', so it doesn't matter whether this was a positive change or a negative change.
Percent change = Percent that "absolute difference of 11 and 8" is of "inital price 11"
Absolute difference of 11 and 8 = [tex]|11 - 8| =3[/tex] (in euros)
Initial price is 11 euros.
Then, we get:
Percent change in price = the percent which 3 is of 11.
Let 3 is x% of 11, then we get:
[tex]x = \dfrac{3}{11} \times 100 = 27.27\overline{27}\approx 27.27[/tex]
Thus, percent change in considered price for this case is approximately 27.27%
Learn more about percent here:
https://brainly.com/question/11549320
#SPj2
what is 3х - 4<-19=
Answer:
x= -5
Step-by-step explanation:
3х - 4<-19=
add +4 to both sides
3x<-15
divide 3 on both sides
x<-5
might have to rewrite the final answer
For which of the following sets of ordered pairs will the slope between the two points be 2/3?
O (2, -1) and (4,5)
O (3,7) and (9, 11)
O (7,6) and (5,3)
O (3,-7) and (9,-11)
Answer:
(2,-1) and (4,5)
Step-by-step explanation:
Answer:
(3,7)and(9,11)
Step-by-step explanation:
First, you do (3,7)= (3)x1 ; (7)y1. Then, (9,11)= (9)x2 ; (11)y2 and Finally,[tex]\frac{11-7}{9-3}[/tex] =[tex]\frac{4}{6}[/tex] which simplifies to [tex]\frac{2}{3}[/tex]
Calendars are on sale for 13 off the regular price. What is the sale price of a calendar with a regular price of $14.55?
Answer:
I don't know if my answer is correct but I would say $12.65
Step-by-step explanation:
The reason I would say this is because 13 percent off 14.55 is 1.8915 and I rounded that to 1.89 and subtracted that from 14.44 to get $12.65
Please help- I cannot get this wrong
Answer:
Top left table
Step-by-step explanation:
It increases at a constant rate of 2 in the y for every 2 in the x so its slope is 1.
Answer:
Top left corner.
Step-by-step explanation:
2, 7
4, 9
6, 11
8, 13
The coordinates increase at a proportional rate.
Frank can purchase bags of apples in four sizes. Which size is the Best Buy?
Answer:
um what are the 4 sizes
Step-by-step explanation:
The reciprocal of 16 is
16/1
Answer:
nah its 1/16
Step-by-step explanation:
16 is 16/1 so flip it
Answer; the reciprocal of 16 is -16 hope it helped!
A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.
which of the following is true?
Answer:
In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.
Let's analyze each statement (from top to bottom)
1)The x-axis represents the number of hours, and the y-axis the charge.
Then let's find x = 2.
You can see that there is a colored dot at y = $3, and a white dot at y = $5.
Then the price for exactly two hours is $3, not $5.
Then this first statement is wrong.
2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,
This statement is wrong.
3) 1 hour and 15 minutes is in between 1 and 2 hours.
And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.
4) Here we have x > 4.
In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.
Then this statement is correct.
As the youth club are camping, Luke is keen to go when there is the least chance of rain. Where and when should he take the club camping?
Maybe the side of the mountain or a cave where rain won't be able to get to the campsite.
If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, make 4 two-digit prime numbers. What is the sum of those four prime numbers?
Answer:
13, 17, 19, and 23
Step-by-step explanation:
13+17+19+23=72
Using 17 flavors of ice cream, how many cones with 3 different flavors can you create if it is important to you
which flavor goes on the top, middle, and bottom?
There are
possible ways to create the ice cream cone.
Answer:
4913
Step-by-step explanation:
For combinations, if there are 17 flavors, and you have 3 spots, you have to multiply 17*17*17.
That is 4913. Is that what you are looking for? Hope it helps.
what is a comparison sentence for 24=6*4
Answer:
24=6×4
24=24
therefore the the comparison sentence is 24=6×4
