1 The solution involves four steps.
Make sure the sample size is big enough to model differences with a normal population. ...
Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.
Find the standard deviation of the difference. ...
Find the probability.
the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers
Step by step please
Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
The two numbers are 143/20 and 423/20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the difference between two numbers is 14.
Let the smaller number be x and the larger number be y.
Here, y-x=14 ------------(i)
If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.
1/3 of larger number is 1/3 y
x-y/3 =1/10 ------------(ii)
From equation (i), substitute y=14+x in equation (ii), we get
x-(14+x)/3 =1/10
10(3x-14-x)=3
30x-140-10=3
20x-140=3
20x=143
x=143/20
Substitute x=143/20 in equation (i), we get
y-143/20=14
y=14+143/20
y=(280+143)/20
y=423/20
Therefore, the two numbers are 143/20 and 423/20.
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True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
Answer:
Hello! Your answer is, True
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
A train travels a total of 67 km at a constant speed of 110 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.
Answer:
36 m 32 s
Step-by-step explanation:
67 /110 = 0.609 hour
0.609 × 60 minutes = 36.54 minutes
36 minutes + 0.54×60 second
= 36 minutes 32 seconds
Answer:
36 mins 32 secs
Step-by-step explanation:
If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.
Answer:
Third zero is 4
Step-by-step explanation:
The polynomial is;
f(x) = x³ − 4x² − 3x + 12
We are given 2 zeros which are √3 and -√3.
This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.
Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.
I have attached this long division method and we have the third factor as; (x - 4)
Equating to zero, we have x = 4 as the third zero of the polynomial
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
A bag contains 3 red marbles, 6 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
8.236%
Step-by-step explanation:
P(G,G,G) = 8/17 x 7/16 x 6/15
= 7/85 (simplified)
7/85, in decimal form, is .082352
.082352 in percent form is 8.236%
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4
Answer:
-5n² - 8n + 4
Step-by-step explanation:
Given the expression
(3n²– 5n + 6) + (–8n²– 3n – 2)
Expand the bracket
3n²– 5n + 6 –8n²– 3n – 2
Collect the like terms
3n²-8n²-5n– 3n – 2+6
-5n² - 8n + 4
This gives the required result
C: -5n^2 - 8n + 4
The answer to the second question is 4, 11, and 5.
write 3.402 as a fraction.
Answer:
that as a fraction is 3 and 201 over 500
Answer:
3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction
Step-by-step explanation:
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
y= 4x + 2
y= 4x + 6
How many Solutions
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)2
A. y=-3x+1
B. y--3x+3
C. y = 2 x -
D. y-22 8x-3
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = -2/3x + b
-1 = -2/3(-3) + b
-1 = 2 + b
-3 = b
y = -2/3x - 3
Curtis mowed 9 of the yard's 25 grassy patches. Use a proportion to show how many grassy patches he would probably mow out of 60 total.
Answer:
22 yards
Step-by-step explanation:
9/25 = x/60
cross-multiply:
25x = 540
x = 21.6
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
Help pls!!!!!!!!!!!!!!
Answer:
46°
Step-by-step explanation:
tan Ф = 21/20
Ф = tan-1 (21/20)
= 46°
if r 1 and 0 = 7pi/6 what is the approximate arc length
list some things I could spend a million dollars on.. doing a math worksheet and I can’t think of things.. help!
Answer:
A car, college, and house, bills. and Airplane? would those work?
Step-by-step explanation:
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
What is the range of the function f(x)=2x+4f(x)=2x+4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. {4.25, 5, 12}
C. {4.25, 4, 12}
D. All real numbers
Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.
You are reading an article in your school newspaper
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote
The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :
= [tex]\frac{-9}{10}[/tex]
Let's check from the given options which is the correct one.
A)
- [tex]\frac{9}{-10}[/tex]
if we multiply and divide by -1 then we find that the given fraction is equal to :
= [tex]\frac{9}{10}[/tex]
This is not equal to what Callie has written.
B)
[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.
C)
[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.
D)
[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.
Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
Learn more about fractions here :
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Use the graph to write a linear function that relates Y toX
Wait what about this one
Answer:
I believe it is 7/20
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST
Answer:
in fractions: 0, 1/5, 2/5, 3/5, 4/5, 1 (5/5)
in percents: 0%, 20%, 40%, 60%, 80%, 100%
Step-by-step explanation:
all the fractions line up with the percents
Answer:
This is the model i made
please help!!
show work(factoring)
u^4 - 3u^2 - 4
7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
what is 2/3 of 1/4 THANKS!
Answer:
1/6
Step-by-step explanation:
[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]
Answer:
1/6
Step-by-step explanation:
(2/3)(1/4)=2/12=1/6
DONT SKIP . URGENT WILL GIVE BRAINLIEST.
Question 8 of 10
What is the distance between points D and E?
6
4
3
2
D(42)
!
S4 3 2
-1
-1
3 4 5
E (42)
- یہ دن من
4
-5
O A. 5 units
OB. 4 units
O C. 2 units
O D. 6 units
B. 4 units
To find this you add 2 and -2 as if -2 was positive. Since the x-axis is the same,4, you don't have to do anything.