Answer:
(3,6)
Step-by-step explanation:
Collect like terms
y -5x = -9
y + 2x = 12
Using elimination method
Subtract equation 2 from equation 1
y - 5x = -9
y + 2x = 12
---------------
0. -7x = -21
Divide both sides by -7
-7x = -21
---- -----
-7 -7
x = 3
Substitute x=3 into equation 1
y = 5(3) - 9
y = 15 - 9
y = 6
Solution is (x,y) = (3,6)
A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress.
Based on the 95% confidence interval, (–0.29, 0.09), is there convincing evidence of a difference in the true proportions of patients experiencing stress relief in the yoga and meditation groups?
There is convincing evidence because the two sample proportions are different.
There is not convincing evidence because the interval contains 0.
There is not convincing evidence because the interval contains both negative and positive values for the true difference.
Answer: Choice B
There is not convincing evidence because the interval contains 0.
========================================================
Explanation:
The confidence interval is (-0.29, 0.09)
This is the same as writing -0.29 < p1-p1 < 0.09
The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09
Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.
Therefore, it is possible that the population proportions are the same.
The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.
There is not convincing evidence because the interval contains 0.
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
We have, the confidence interval as (-0.29, 0.09)
and, the same as writing -0.29 < p1-p1 < 0.09
Now, as the interval is 0 then
p1 - p2 = 0
p1 = p2
There is a chance that the population ratios are identical.
So, there isn't convincing evidence.
For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.
Learn more about Confidence Interval here:
https://brainly.com/question/24131141
#SPJ3
Graph the equation using the slope and y-intercept y = -x + 3
Answer:
Explained Below:Step-by-step explanation:
Your y-intercept is a positive three, so your starting point would start on positive three on the y-axis. Since your slope is a negative one, your line should be heading towards the bottom right corner (much like your last question).
To find the next point on the graph, you need to go down one and over one. Or, one space.
Answer:
I got you
Step-by-step explanation:
Watch help video
In ATUV, the measure of V=90°, the measure of ZU=58°, and TU = 38 feet. Find
the length of VT to the nearest tenth of a foot.
U
589
38
v
T
Х
Answer:
awit wala akong maintindihan. srna agad
Write three different equations that match the tape diagram.
40
19
х
х
х
X
х
х
х
Pls answer quick
Answer:
19+7x=40
40-19=7x
40-7x=19
can anyone help me? I'm so lost on this question. thanks!!
Answer:
a. -21
b. -16
c. -11
d. -9
Step-by-step explanation:
if x is less than -2, then u have to use the equation 5(x)-1
if x is greater than or equal to -2, then you have to use the equation (x)-9
Answer:
Step-by-step explanation:
This is a ‘piece wise function’ meaning it has different functions depending on the value of the independent variable, x.
So for questions a and b where x<-2 you sub the x value into the top equation, 5x-1.
f(-4)=5(-4)-1=-20-1=-21
f(-3)=5(-3)-1=-15-1=-16
Since the second two x values are not less than -2, you sub the x values into the second equation x-9
f(-2)=-2-9=-11
f(0)=-0-9=-9
whats the answer to 5+6x=2-7
Answer:
x= -5/3
Step-by-step explanation:
hope this helps :) have a nice day !!
Lisa set a weekly goal of jogging 18 miles. In each of the first 3 days, he jogged 2 2/3 miles. How many more miles must he run to reach his goal?
Answer:
Step-by-step explanation:
3(2+(2/3))+x=18
3(8/3)+x=18
(24/3)+x=18
8+x=18
x=10
He must run another ten miles.
Answer:
10.88
Step-by-step explanation:
3 * 2 3/8 = 6 9/8 = 7 1/8 miles
Katlin is choosing between two circular wall clocks one has the radius of 5 inches while the other one has a radius of 6 inches.How much more wall space will the clock with a radius of 6 inches cover?
Plz help i dont get any of these type of questions T-T
Answer:
Exact: [tex] 11 \pi~in.^2 [/tex]
Approximate: [tex] 34.6~in.^2 [/tex]
Step-by-step explanation:
The spaces the clocks occupy on the wall are the areas of the clocks.
The clocks are shaped like circles, so use the formula for the area of a circle to find the two areas. Then subtract the smaller area from the larger area.
[tex] A_{circle} = \pi r^2 [/tex]
Larger clock, r = 6 in.
[tex]A_{large~clock} = \pi \times (6~in.)^2 = 36 \pi ~in.^2 = 113.1~in.^2[/tex]
Smaller clock, r = 5 in.
[tex]A_{small~clock} = \pi \times (5~in.)^2 = 25 \pi ~in.^2 = 78.5~in.^2[/tex]
Difference in areas:
Exact: [tex] 36 \pi~in.^2 - 25 \pi~in.^2 = 11 \pi~in.^2 [/tex]
Approximate: [tex] 113.1~in.^2 - 78.5~in.^2 = 34.6~in.^2 [/tex]
What is the perimeter of JKL?
Answer:
The perimeter of JKL is 60 units.
Step-by-step explanation:
The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.
please help please help
Answer:
c
Step-by-step explanation:
4000x.5=2000 which is the next table on the chart.
Answer:
Step-by-step explanation:
y=ar^t
f(x)=4000(1/2)^x
Teresa runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
12/5 miles
Step-by-step explanation:
3/25=x/20
cross product
25*x=3*20
25x=60
x=60/25
simplify
x=12/5
Answer:
a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion
Step-by-step explanation:
a rectangle measuring 4m by 3m
Answer:
If you are asking the area it is 12
Step-by-step explanation:
Answer:
Area: 4 x 3 = 12m
Perimeter: 4 + 3 + 4 + 3 = 14m
Step-by-step explanation:
I hope this helps u! :D
Please help me.....................
Answer:
87.92 in
Step-by-step explanation:
The formula for the circumference of a circle is C=2πr.
C = 2(3.14)(14) = 87.92
which function has the steepest slope 2x-12 and y= 9- 3x
x+y =0
3x+y=16
x-y+4=8
Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.
Answer:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
Step-by-step explanation:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
The residents of Watson Avenue are decorating their houses for the upcoming holidays. They
have decided to all string lights around the roofs of their houses. How many feet of lighting
does Sarina need if she wants to string lights along roof?
4 feet
10 feet
6 feet
6 feet
6 feet
6 feet
Plz explain how you solve this.
Answer:
38
Step-by-step explanation:
It is 4,10,6,6,6,6 feet so add it up and it is 38
6-8 weeks i hope this help:)
Answer:
I have no idea but okay
brian makes an investment in his company’s stock . what does the stock chart say about the stock price today? The down arrow indicates the stock price has decreased from yesterday’s price of $______ at the ______ of the marley day.
Answer:50$ and 2
Step-by-step explanation:
Answer:
The down arrow indicates the stock price has decreased from yesterday’s price of $
66.20
at the
close
of the market day.
your welcome <3
What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.
Answer: 5 m
Step-by-step explanation:
Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.
Check answer: A = 1/2xbxh
A = 1/2 x 7 x 5
A = 1/2 x 35
A = 17.5 sq m
Which expressions are equal?
A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14
Answer:
Step-by-step explanation:
2(x + 3) + 2x
2x + 6 + 2x
4x + 6 and 4x + 3 not equal
3(x + 2) + 4x
3x + 6 + 4x
7x + 6 and 6x + 6 not equal
5x + 2(x + 4)
5x + 2x + 8
7x + 8 and 6x + 8 not equal.
4 + 5(x + 2)
4 + 5x + 10
5x + 14 and 5x + 14 are equal
Write an equation of the line that passes through the given point and is parallel to the given line.
(2, -3); y = –5
Answer:
y = -3
Step-by-step explanation:
The given line is a horizontal line thru -5 on the y-axis.
Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3). Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.
Sam and Adam share some money in the ratio 2 : 5.
Adam got £12 more than Sam.
Work out how much money Sam received.
Answer:
£8
Step-by-step explanation:
A
Sam:Adam
2:5
3=£12
12÷3=4
1=4
4×2=8
sam=£8
can some one help me for 100pts
Answer:
THanks
Step-by-step explanation:
Answer:
What is the question??
Step-by-step explanation:
Jaylen will deposit $1,750 in an account that earns 6% simple interest every year. His best friend, Eli, will deposit $1,600 in an account that earns 8.5% interest compounded annually. The deposit will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two friends’ account after 5 years
Answer:
Jaylen- 2275
Eli- 2405.85
Jaylen
1750 x 0.06 x 5 =525
525 + 1750 = 2275
He makes 525 simple interest in those 5 years so you add that to the initial amount, to find his total after 5 years.
Eli
A= 1600(1+0.085)^5
1600(1.085)^5
2405.85
Hope this helps ^-^
(x - 2)(2x + 3)(x + 5) can be written in the form ax + bx² + cx + d.
where a and b are positive integers, and c and d are negative integers.
Find the values of a, b, c and d.
a =
b =
C=
d =
Answer:
B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to
Answer:
2x^3 + 9x^2 - 11x - 30
so a=2, b=9, c= -11 and d= -30
Can you simply these fractions?
Find x in the diagram.
Answer:
50
Step-by-step explanation:
The angle left of x added to 140 must be 180 as it is along a line so is 40.
We now have 40 + 90 + x = 180 so x = 50
What is the answer to -2/5 × 5/9 ??/
) tan c
С
45
36
B.
27
A
4/3
3/5
Ο Ο Ο Ο Ο
27/45
314
4/5
Answer:
A 4/3 3/5 000000 27/45 314 4/5
1. Find the area of the shaded sector.
2. Find the length of the arc defined by the sector.
Answer:
1. 150π sq.ft 2. 10π ft
Step-by-step explanation:
Part 1Equation: Area of a sector = [tex]\frac{x}{360}[/tex] × π[tex]r^{2}[/tex]
Where:
x = internal angle
r = radius of circle
Values from problem:
x = 60
r = 30
Plug values into equation:
Area of sector = [tex]\frac{60}{360}[/tex] × π[tex]30^{2}[/tex]
Simplify:
60 divided by 30 equals [tex]\frac{1}{6}[/tex] and 30 squared equals 900 so...
[tex]\frac{1}{6}[/tex] × 900π
900π divided by 6 equals 150π so...
[tex]\frac{900}{6}[/tex] × π = 150π
150π sq. ft
Part 2Equation: Arc length = [tex]\frac{x}{360}[/tex] × 2πr
Where:
x = internal angle
r = radius of circle
Values from Problem:
x = 60
r = 30
Plug values into equation:
Arc length = [tex]\frac{60}{360}[/tex] × 2π30
Simplify:
60 divided by 360 equals [tex]\frac{1}{6}[/tex], and 2π × 30 equals 60π so...
[tex]\frac{1}{6}[/tex] × 60π
60π divided by 6 is 10π
[tex]\frac{60}{6}[/tex]π = 10π
10π ft